Word Problem

Problem 8401

11 Given $\$ 250,000$ today, determine the equivalent series of 10 annual payments which could be generated beginning in 1 year. Assume interest is 12 percent compounded annually.

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Problem 8402

Going to work: A news report stated that the mean distance that commuters in the United States travel each way to work is 16 miles. Assume the standard deviation is 6 miles. A sample of 75 commuters is chosen.
Part: $0 / 2$ $\square$
Part 1 of 2 (a) What is the probability that the sample mean commute distance is greater than 14 miles? Round the answer to at least four decimal places.
The probability that the sample mean commute distance is greater than 14 miles is $\square$ .

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Problem 8403

Pewrite the ratio $8: 36$ as an equivalent ratio of the form 1 : $n$ Cile any decimals in your ans wer to 1 dp

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Problem 8404

28. Abby works part-time at an animal clinic, assisting with caring for dogs. She earns a wage based on the number of dogs she cares for. For 1 dog - $\$ 169$ per month For 2 dogs - $\$ 196$ per month For 3 dogs - $\$ 225$ per month If this pattern continues, how much money will Abby earn over three months, if she cares for 5 dogs for each of the three months?
Answer\\qquad31+2=33\qquad\qquad$ (3 mark

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Problem 8405

27. The usual price of a video game is $\$ 450$ . At a sale, Joanne got a discount of $20 \%$ . She then got a further $5 \%$ discount on the discounted price. How much did she pay for the video game?

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Problem 8406

Arrange in order the steps required to obtain a systematic random sample. (i) Instructions
Divide the population size by the sample size and round down, calling the result $k$ .
Select every $k$ th population unit thereafter.
Randomly select one of the first $k$ population units as the starting point.

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Problem 8407

Iarrim në konsideratë një shpërndarje F me shkallë lirie 3 dhe 30. Cila është përqindja e sipërfaqes nën lakore në të djathtë të Fs=4.51? Cila është përqindja e sipërfaqes nën lakore në të majtë të Fs=2.92?

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Problem 8408

Suppose we want to create a systematic random sample of 100 people from a population of 4398 people. Using a random number generator, the first person selected is \#15. Which of the following people will also be included in the sample? \#120 \#144 \#60 \#58 \#129 \#101 \#86

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Problem 8409

Lines Finding slope given the graph of a line in quadrant 1 that models a real-...
Keisha makes house calls. For each, she is paid a base amount and makes additional money for each hour she works. The graph below. shows her pay (i dollars) versus the number of hours worked.
Use the graph to answer the questions. (a) How much does her pay increase for each hour worked? \\square$ (h) What is the slone of the line?

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Problem 8410

A company installs 5,000 light bulbs. The lifetimes of the lightbulbs are approximately normally distributed with a mean of 500 hours and a standard deviation of 100 hours. Find the approximate number of bulbs that can be expected to last between 290 hours and 500 hours. A. 2,413 B. 2,911 C. 2,913 D. 2,410

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Problem 8411

1.
Yukarıdaki grafik bir GSM firmasının 5 aylik kazancını göstermektedir.
Buna göre firmanın verilen zaman diliminde aylik kazançların ortalaması kaç milyon TL'dir? A) 184 B) 196 C) 204 D) 216

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Problem 8412

Express the indicated degree of likelihood as a probability value between 0 and 1. When using a computer to randomly generate the last digit of a phone number to be called for a survey, there is 1 chance in 10 that the last digit is zero.
The probability is $\square$ . (Type an integer or a decimal. Do not round.) p Ask my instructor Clear all

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Problem 8413

8. Dalam sebuah kotak terdapat 30 bola yang diberi nomor 1-30. Dari kotak tersebut diambil 1 bola secara acak. Tentukan peluang bola bernomor kelipatan 5 atau kelipatan 7
9. Sebuah koin dan sebuah dadu dilempar secara bersama-sama. Tentukan peluang munculnya angka pada koin dan angka pada dadu lebih dari 4

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Problem 8414

A modified roulette wheel has 40 slots. One slot is 0 , another is 00 , and the others are numbered 1 through 38 , respectively. You are placing a bet that the outcome is an odd number, (In roulette, 0 and 00 are neither odd nor even.) a. What is your probability of winning?
The probability of winning is $\square$ (Type an integer or a simplified fraction.) Get more help - Clear all Check answer ok

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Problem 8415

ll expresso 15:08 53 \%
FASCICULE TS2. KAOLACK COMMU... $\sigma$ Préciser le référentiel d'étude, T Faire l'inventaire des forces extérieures agissant sur le système, (T) Faire si possible un schéma où sont représentées les forces, (T) Appliquer les différents théorèmes : - Théorème du centre d'inertie (T.C.I) : $\sum \vec{F}=m \vec{a}$ - Théorème de l'énergie cinétique (T.E.C) : $\Delta E_{C}=\sum W(\vec{F})$
EXERCICE 1: Détermination du centre d'inertie d'un système Dans une molécule d'eau $\mathrm{H}_{2} \mathrm{O}$ la distance moyenne entre l'atome d'oxygène et chaque atome d'hydrogène est de $9,60.10^{-11} \mathrm{~m}$ . l'écart angulaire formé par les deux directions OH est voisin de $105^{\circ}$ . Déterminer la position du centre d'in ertie de la molécule. On donne : $\mathrm{M}(\mathrm{O})=16 \mathrm{~g} / \mathrm{mol} ; \mathrm{M}(\mathrm{H})=1 \mathrm{~g} / \mathrm{mol}$ EXERCICE 2: chute libre Un projectile de masse $\mathrm{m}=50 \mathrm{~g}$ est lancé vers le haut à partir d'un point A situé à une hauteur $\mathrm{h}=1 \mathrm{~m}$ au dessus du sol avec une vitesse $\overrightarrow{v_{0}}$ parallèle à $\vec{g}$ et de norme $V_{0}$ $=10 \mathrm{~m} / \mathrm{s} . \mathrm{g}=10 \mathrm{~m} \cdot \mathrm{~s}^{-1}$ 1) - Quelle est la nature du mouvement du projectile? 2) - Ecrire les équations du mouvement 3) - Quelle est la hauteur maximale atteinte par rapport au sol? 4) - Calculer la durée : a)- De la montée b)- Du vol 5)- Quelle est la vitesse de la bille $\mathrm{v}_{\mathrm{s}}$ du projectile lorsqu'elle touche le sol.
EXERCICE 03: Plan incliné Un mobile de masse $\mathrm{m}=20 \mathrm{~kg}$ lancé avec une vitesse de norme $v_{0}=4 \mathrm{~m} \cdot \mathrm{~s}^{-1}$ , monte, en mouvement de translation rectiligne, le long d'une ligne de plus grande pente d'un plan incliné d'un angle $\alpha=20^{\circ}$ avec l'horizontal $\left(g=9,8 \mathrm{~m} \cdot \mathrm{~s}^{-2}\right)$ . Les forces de frottement sont équivalente à une force opposée à la vitesse, de norme supposée constante $f=40 \mathrm{~N}$ . 1) - Etablir l'équation horaire du mouvement du mobile. 2) - Déterminer la distance parcourue par le mobile avant qu'il n'arrête de monter. 3)- Arrivé au sommet de sa trajectoire, le mobile redescend. Indiquer sur un schéma les forces extérieures appliquées à ce mobile au cours de la descente. Qu'y a-t-il de changé par rapport à la montée ? 4) - Calculer la vitesse avec laquelle le mobile repasse par sa position initiale. Quelle serait cette vitesse si les frottements étaient négligeables? Eualuations standardisés de Kaclack commune/JS2/2019-2020 Page 13
EXERCICE 04 : Systèmes articulés Sur la figure ci-contre : - A est un solide de masse $\mathrm{m}_{\mathrm{A}}$ , pouvant glisser le long d'un plan incliné suivant la ligne de plus grande pente OC. - $\quad B$ est un solide de masse $m_{B}$ , relié à $A$ par un fil de masse négligeable passant par la gorge d'une poulie K de masse également négligeable. A $t=0$ , le système est libéré sans vitesse, le solide A partant du point O . Tous les frottements sont négligeables.

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Problem 8416

Situation problème 2 (à résoudre avec les élèves) Mensieur KOFF* ’ossède 3 terrains dont il veut abso'...ment clôturer car il lui est rapporté que des individus mal intent':onnés utilisent zes espaces non occupés à de mârvaises fins. Гee dernier décide donc d’acheter du fil barbelé pour clôturer ces 3 terrains. ie rculeau de 5 m de fil est vend:ı à 3500 f. -le $1^{\text {or }}$ terrain est formé de !'ensemble des points $M(z)$ tel que $|2 i z-1-3 i|=8$ -le $2^{\text {èmc }}$ terrain quant à lui a une forme rectangulaire dont les dimensions sont la partie réelle et la partie imaginaire solution de l'équation : $(1+4 i) z+(3-4 i) \bar{z}=4-3 i$ ou $\bar{z}$ est le conjugué de $z$ -le $3^{c}$ terrain est formé de l'ensemble des points $M(z)$ culi plan complexe tel que $\operatorname{Re}\left(z^{\prime}\right)=0$ avec $Z=\frac{z}{z+4 i}$ Les distances sont tous en décamètre. A partir de tes connaissances détermines le montant total à dépenser par monsieur Koffi pour la c'otire de ses terrains

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Problem 8417

The principle of redundancy is used when system reliability is improved through redundant or backup components. Assume that a student's alarm clock has a $13.5 \%$ daily failure rate. Comp parts (a) through (d) below. a. What is the probability that the student's alarm clock will not work on the morning of an important final exam? $\square$ (Round to three decimal places as needed.) Clear all Check ans Get more help - MacBook Air

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Problem 8418

Which set of ordered pairs does not represent a function?
Answer $\{(0,-4),(-8,8),(2,-7),(6,2)\}$ $\{(-2,3),(4,3),(3,8),(8,-7)\}$ $\{(5,6),(0,7),(-1,7),(-9,3)\}$ $\{(8,-7),(8,-9),(0,-6),(1,8)\}$ Submit Answer

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Problem 8419

To find the likelihood of observing a particular sample proportion, how do we convert the sample proportion to its z-value? $Z=\frac{\bar{p}-p}{\sqrt{\frac{p^{(1-p)}}{n}}}$ $z=\frac{\bar{p}-p}{p(1-p)}$ $z=\frac{\bar{p}-p}{n}$ $z=\frac{\bar{p}-p}{\sqrt{n}}$

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Problem 8420

6. Advertisers try to measure the Click-Through Rate (CTR) for their ads, which gives the 3.5 ratio of people who click on an ad (Total Clicks on Ad) compared to the people who see the ad (Total Impressions), For example, a CTR of 0.05 means that $5 \%$ of the people seeing the ad actually click on the ad and follow the link. A company initiates a new marketing strategy in the hope of increasing their CTR score. Let $C(t)$ represent the company's CTR, $t$ weeks into the initlative. What are the units of $C^{\prime}(t)$ ? \begin{tabular}{|c|c|c|c|} \hline clicks & $\frac{\text { clicks }}{\text { week }}$ & $\frac{\text { clicks/impression }}{\text { week }}$ & $\frac{\text { clicks }}{\text { impression }^{2}}$ \\ Red & Blue & Ught green & Orange \\ \hline \end{tabular}

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Problem 8421

اوجد كل المثلثات الفيثاغورية البدانية التي طول احد الساقين فيها يساوي 80 .

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Problem 8422

EXERCICE 3 (04 points).
Donnée : intensité de la pesanteur : $\mathrm{g}=10 \mathrm{~N} \mathrm{~kg}^{-1}$ . Les mobiles sont assimilés à des points matériels. Leurs mouvements sont étudiés dans le plan vertical rapporté au repère (Ox, Oy). Pour mettre en pratique une partie de ses connaissances un élève de terminale S se comporte comme un chasseur. II cherche alors à atteindre, avec une flèche, un pigeon en mouvement rectiligne, horizontal. Le pigeon de masse $m_{p}=400 \mathrm{~g}$ est à une altitude h du sol et se déplace avec une vitesse constante de module $V_{p}=12,6 \mathrm{~ms}^{-1}$ . A un instant $t_{0}=0$ , le pigeon passe par un point $P$ situé à la verticale du chasseur. Au méme instant le chasseur lui envoie une flèche avec une vitesse initiale $\vec{V}_{0}$ faisant un angle $\alpha=45^{\circ}$ ave l'horizontale. La flèche a une masse $\mathrm{m}_{\mathrm{f}}=50 \mathrm{~g}$ . La pointe de la flèche est partie d'un point $O$ d'altitude $h_{0}=1,2 \mathrm{~m}$ avec la vitesse $\vec{V}_{0}$ de module $v_{0}=25 \mathrm{~ms}^{-1}$ . 3-1. Etablir les équations horaires des mouvements du pigeon et de la flèche. ( 0,75 point).
3-2. Etablir les équations des trajectoires du pigeon et de la flèche. Préciser la nature de chaque trajectoire. 3-3. La flèche atteint le pigeon à la date $t_{1}=0,9$ s en un point $O^{\prime}$ . (01 point) 3-3-1. Déterminer l'altitude h de vol du pigeon. 3-3-2. Déterminer les coordonnées du point $0^{\prime}$ . ( 0,25 point). ( 0,25 point). 3-3-3. Déterminer les caractéristiques du vecteur vitesse de la flèche à l'instant où elle rencontre le pigeon. ( 0,5 point) 3-4. Juste après la rencontre, le pigeon et la flèche forment un solide de centre d'inertie G. La vitesse, en $\mathrm{O}^{\prime}$ , de ce centre d'inertie vaut $\mathrm{v}_{\mathrm{o}^{\prime}}=16,0 \mathrm{~m} \cdot \mathrm{~s}^{-1}$ et fait un angle $\beta=10^{\circ}$ avec $\mathrm{I}^{\prime}$ horizontale. 3-4-1. Calculer la norme de la vitesse du centre d'inertie G à l'instant où il touche le sol. ( 0,5 point) 3-4-2. Calculer durée de la chute de l'ensemble (pigeon + flèche). ( 0,25 point). 3-4-3. Déterminer, dans le système d'axes (Ox, Oy ), les coordonnées du point de chute du centre d'inertie G. ( 0,5 point)

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Problem 8423

The equation of an exponential function has the form $y=A b^{x}$ . How can you tell from the equation whether the exponential function represents growth or decay?

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Problem 8424

Exercice $\mathbf{N}^{\circ} 2$ : On considère les molécules : $\mathrm{CCl}_{4}, \mathrm{H}_{2} \mathrm{~S}, \mathrm{HCN}, \mathrm{SO}_{3}{ }^{-}, \mathrm{AlH}_{3}, \mathrm{PCl}_{3}$ . Donner l'état d'hybridation des atomes $\mathrm{C}, \mathrm{S}, \mathrm{Al}, \mathrm{P}$ dans ces molécules ainsi que le nombre, la nature des liaisons et le nombre de doublets libres dans chacune d'elles. De plus, en utilisant la règle de Gillespie (VSEPR) prévoir la géométrie de chaque molécule.

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Problem 8425

إليك المعلومـات التالية عن منشـاة محمد التجاريـة: 10000 دينار، في حينّ كان رصيد البنك طبقا لدفاتر منشـاة محمد التجاريـة
مبلغ 8000 دينار. 1-تبين أن الشيكات الصـادرة التالية لم تصرف بعد من قبل البك، الشيك رقم 101 بمبلغ 1500 دينار، والشيك ديك رقم 151 بمبلغ 2000 دينار، والشيك رقم 201 بمبلغ 500 دينار. 2- أرفق البك بكشغ الحساب إشعارا يغيد بـان البنك قد قام بتحصيل كمبيالة قيمتها 500 دينار بتاريخ 29/12 إلا أن المنشاة لم تسجلها بدفاترهـا. 3- قامت المنشاة بإيداع مبلغ 500 دينار نقدا بحسابها في البنك بتاريخ يظهر بكثف حسـاب البنك الوارد من البنك. 5- أعاد البنك شيكا بقيمة 2000 دينار لعدم وجود رصيد للعيد العميل احمد 6- قام البنك بتسجيل عمولات بن المينة بقيمة 100 دينار على المنشأة إلا أن
المبلغ لم يسجل بدفاتر المنشنأة بعد. المطلوب:
1. عمل مذكرة تسوية البنك في 12/12/2012.31 (15 علامـات) علامـات).

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Problem 8426

2. (MP) Use Tools Marcela gets to school later than her friend Kim about half the time. Describe a way to simulate this event for 10 school days. Then perform the simulation. How many times does it show Marcela arriving later than Kim? What is the experimental probability of this event?

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Problem 8427

In the coordinate plane, the point $A(-2,2)$ is translated to the point $A^{\prime}(0,3)$ . Under the same translation, the points $B(1,5)$ and $C(-5,0)$ are translated to $B^{\prime}$ and $C^{\prime}$ , respectively. What are the coordinates of $B^{\prime}$ and $C^{\prime}$ ? B. (1) c.(1)

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Problem 8428

26
Poll Results \begin{tabular}{|l|l|} \hline Angel Cruz & 483 \\ \hline Terry Smith & 320 \\ \hline \end{tabular}
The table shows the results of a poll. A total of 803 voters selected at random were asked which candidate they would vote for in the upcoming election. According to the poll, if 6,424 people vote the election, by how many votes would Angel Cruz be expected to win? A) 163 B) 1,304 C) 3,864 D) 5,621

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Problem 8429

A 4025 kg spacecraft is in circular orbit around the Earth at an altitude of 256 km . Determine; a) the kinetic energy of the spacecraft b) the gravitational potential of the spacecraft $42.56 \times 10^{5} \mathrm{~m}$ c) the total orbital energy of the space craft d) the binding energy of the space craft e) the speed required for escape at this height f) the work required to move the spacecraft to a new orbit of altitude 628 km g) homework; pg WS \#'s 4, 5, 7, 8, \& 10

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Problem 8430

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del $12 \%$ en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

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Problem 8431

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del 12\% en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

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Problem 8432

10. En una competencia de deportes, participaron 200 personas. Al final, se otorgan premios al $15 \%$ de los participantes. El organizador de la competencia necesita saber cuántas personas ganaron un premio. ¿Cuántas personas ganaron un premio?

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Problem 8433

Resuelve y contesto: ¿Cuál es el consecuente de una razón geométrica cuyo valor es $4 / 5$ y al antecedente es $68 ?$ Resolución:

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Problem 8434

(20 علامة) السؤال الخامس إذا كانت اوزان اكياس الطحين من انتّاج مصنع معين تشبع التوزيع الطبيعي بمعدل 30 كغم وانحر اف معياري 5 كغم، اختير كيس عشو انيا من انتاج المصنع، اوجد: (7) (7)
1- التمّال ان يقلّ وزنه عن 30 كغم (6 علامات) 2- احتمال ان يقع وزنه بين 25 و35 كغم 3- اوجد المنين الثمانين لاوزان الاككياس

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Problem 8435

5. $\angle L J B$ and $\angle I J M$ are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

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Problem 8436

\begin{tabular}{|c|c|} \hline الاختبار الفصل الأول في مادة المرياضيات الشعبة:الثانبة آداب وفلسفـة + لغات أجنبية & مديرية التزر بية لو لاية توقرت \\ \hline المدة: 02 ساعة & الكاريخ: 2024/12/01 \\ \hline & الأتمرين الأون: (05) \\ \hline \end{tabular}
في شسم 2 لغات يوجد 20 تلميذا تحصن على عاهمة مستاز. - ما هي النسبة المئوبة لعدد التلاميذ الذين تحصنوا على علامة ميتاز بالنسبة إلى عدد 40 تكاميذ القس ؟ ن الثناني:

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Problem 8437

Sunland Industries incurs unit costs of \ $8 (\$5 variable and \$3 fixed) in making an assembly part for its finished product. A supplier offers to make 10,300 of the assembly part at$ \ $6$ per unit. If the offer is accepted, Sunland will save all variable costs but no fixed costs. Prepare an analysis showing the total cost saving, if any, that Sunland will realize by buying the part. (Enter negative amounts using either a negative sign preceding the number e.g. -45 or parentheses e.g. (45).) \begin{tabular}{|c|c|c|c|c|c|} \hline & & & Buy & & \begin{tabular}{l} Net Income \\ Increase (Decrease) \end{tabular} \\ \hline Variable manufacturing costs & \$ & \$ & & \$ & \\ \hline Fixed manufacturing costs & & & & & \\ \hline Purchase price & & & & & \\ \hline Total annual cost & \$ & \$ & & \$ & \\ \hline \end{tabular}
The decision should be to $\square$ the part.

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Problem 8438

For the given function, use your intuition or additional research, if necessary, to complete parts (a) through (c) below. (angle of football, horizontal distance traveled by football) a. Describe an appropriate domain and range for the function. b. Make a rough sketch of a graph of the function. c. Briefly discuss the validity of the graph as a model of the true function. a. Choose the appropriate domain for the function below. A. The domain is the horizontal distances traveled by the football thrown at certain angles or 0 ft to 200 mi . B. The domain is all angles a football could be thrown at or $0^{\circ}$ to $360^{\circ}$ . C. The domain is all angles a football could be thrown at or $0^{\circ}$ to $90^{\circ}$ . D. The domain is the horizontal distances traveled by the football thrown at certain angles or 0 ft to 200 ft .

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Problem 8439

A 6000-seat theater has tickets for sale at $\$ 24$ and $\$ 40$ . How many tickets should be sold it each price for a sellout performance to generate a total revenue of $\$ 171,200$ ?
The number of tickets for sale at $\$ 24$ should be $\square$ The number of tickets for sale at $\$ 40$ should be $\square$

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Problem 8440

EXERCICE 3: ABC un triangle rectangle en B tel que $\mathrm{BC}=3,5 \mathrm{~cm}$ M le symétrique de $\mathbf{B}$ par rapport à ( AC ).soit $\mathbf{O}$ appartiennent a ( AB ) 1) Construire une figure convenable aux données 2) Déterminer .en justifiant, la longucur MC 3) Démontrer que le triangle MAC est rectangle en M. 4) Construire le point J symétrique de point O par rapport a (AC)
Démontrer que les points $\mathbf{A}, \mathbf{J}$ et $\mathbf{M}$ sont alignés.

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Problem 8441

3. $\triangle D E F$ has vertices at $D(8,-2), E(1,-3)$ , and $F(9,-9)$ . Use special segments to determine if $E F$ is the base of an isosceles triangle. $\rho(8,-2)$

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Problem 8442

- • علامة
السؤال الثالث ا- بكم طريقة يمكن اختيار لجنة مكونة من 5 طلاب من صف يحوي على $ا$ طلاب؟
بـ اذا كان احتمال ان ينجح احمد في الاحصاء P(A)=0.6 واحتمال ان ينجح في الحاسوب P(B)=0.8 واحتمال ان ينجح في المقررين معا 0.48 اجب عما يلي 1 ـ مـا احتمال ان لا ينجح في أي من المقررين r - ما احتمال ان ينجح في الاحصاء ولا ينجح في الحاسوب

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Problem 8443

أـ إذا علمت أن أوزان عاب منتج ما في مصنع يخضع للتوزيع الطبيعي بمعل 6 كغم، وبتباين قدره 64، سحبت عينة عشوانية مقدار ها 100 علبة من المنتج :
1- اذا تم اختيار احدى العب بشكل عشواني ما احتمال أن يكون وزنها اقل من † كغج؟. r- احسب المئين 80 لأوزان العلب؟

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Problem 8444

5. What nominal interest rate with continuous compounding of interest is required so that a deposit will double after 10 years.?

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Problem 8445

Runde 1 1 a) Bestimmen sie eine Parameter- und eine Koordinatengleichung der Ebene, in der di Punkie $A(2|5| 1), B(0|-1| 3)$ und $C(7|2| 5)$ liegen. b) Untersuchen Sie, ob der Punkt $P(4|4|-3)$ in der Ebene $E: x_{1}-x_{2}+2 x_{3}=5 \mathrm{bzW}$ . in cler Eberse $F: \vec{x}=\left(\begin{array}{r}1 \\ 0 \\ -1\end{array}\right)+r \cdot\left(\begin{array}{l}4 \\ 2 \\ 1\end{array}\right)+s \cdot\left(\begin{array}{r}1 \\ -2 \\ 3\end{array}\right)$ liegt.

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Problem 8446

3 A thermocouple consists of two junctions between two metals; when one junction is at a higher temperature than the other, an emf is generated.
The hot junction and the cold junction of a thermocouple are at 373 K and 273 K , respectively. The emf generated is 1.0 mV . Show that the emf changes to 0.85 mV when the hot junction is moved to a water bath at 358 K , if the emf generated varies linearly with the temperature difference between the junctions.

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Problem 8447

41.0 kg of water per second flows through the cooling system of a diesel engine. The difference between the temperatures of the incoming and outgoing water is 5.0 K . How much energy is being removed each second?

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Problem 8448

Trigonomet'y Homework
A flagpole $[G H]$ , shown in the diagram, is vertical and the ground is inclined at an angle of $5^{\circ}$ to the horizontal between $E$ and $G$ . The angles of elevation from $E$ and $F$ to the top of the pole are $35^{\circ}$ and $52^{\circ}$ respectively. The distance from $E$ to $F$ along the incline is 6 m . Find how far $F$ is from the base of the pole $(G)$ along the incline. Give your answer correct to two decimal places.

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Problem 8449

$\text{A survey of 91 college students was taken to determine where they got the news about what's going on in the world. Of those surveyed, 45 got the news from news websites, 30 from social media, and 18 from both news websites and social media. Construct a Venn diagram and determine the cardinality for each region. Use the completed Venn Diagram to answer the following questions.}$
$\text{How many got the news from only news websites?}$ $n(\text{News websites only}) = 27$
$\text{How many got the news from only social media?}$ $n(\text{Social media only}) = \square$

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Problem 8450

For parts of the free-response question that require calculations, clearly show the method used and the steps involved in arriving at your answers. You must show your work to receive credit for your answer. Examples and equations may be included in your answers where appropriate. $\mathrm{Mg}(s)+2 \mathrm{HCl}(a q) \rightarrow \mathrm{MgCl}_{2}(a q)+\mathrm{H}_{2}(g)$
In an experiment, a student places a small piece of pure $\mathrm{Mg}(s)$ into a beaker containing $250 . \mathrm{mL}$ of 6.44 $M \mathrm{HCl}(\mathrm{aq})$ . A reaction occurs, as represented by the equation above. (a) Write the balanced net ionic equation for the reaction between $\mathrm{Mg}(s)$ and $\mathrm{HCl}(a q)$ .
Note On your AP Exam, you will handwrite your responses to free-response questions in a test booklet $\square$

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Problem 8451

An electron microscope can magnify an object from 3000 times to 100,000 times. Assuming these values are exact, express these magnifications $M$ as an inequality and graph them. $\qquad$
Express M as a single inequality.

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Problem 8452

A 100 -pound weight is to be dragged up a $20^{\circ}$ ramp. We want to know how hard to pull on the cable to move the weight up the ramp (if friction is ignored). That is, we need to know the magnitude of the component of the weight vector in the direction opposite the cable. How hard do we need to pull on the cable?

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Problem 8453

The string shown in the figure is driven at a frequency of 5.00 Hz . The amplitude of the motion is $A=11.5 \mathrm{~cm}$ , and the wave speed is $v=22.5 \mathrm{~m} / \mathrm{s}$ . Furthermore, the wave is such that $y=0$ at $x=0$ and $t=0$ . (i) (a) Determine the angular frequency for this wave (in rad/s). $\square$ rad/s (b) Determine the wave number for this wave (in rad/m). $\square$ $\mathrm{rad} / \mathrm{m}$ (c) Write an expression for the wave function. (Use the following as necessary: $t, x$ . Let $x$ be in meters and $t$ be in seconds. not include units in your answer. Assume SI units.) $y=\square \sin (\square)$ (d) Calculate the maximum transverse speed (in $\mathrm{m} / \mathrm{s}$ ). $\square$ $\mathrm{m} / \mathrm{s}$ (e) Calculate the maximum transverse acceleration of an element of the string (in $\mathrm{m} / \mathrm{s}^{2}$ ). $\square$ $\mathrm{m} / \mathrm{s}^{2}$ (f) What If? If the driving frequency is now doubled to 10.0 Hz , what are the maximum transverse speed (in $\mathrm{m} / \mathrm{s}$ ) and maximum transverse acceleration (in $\mathrm{m} / \mathrm{s}^{2}$ ) of an element of the string? maximum transverse speed $\square$ $\mathrm{m} / \mathrm{s}$ maximum transverse acceleration $\square$ $\mathrm{m} / \mathrm{s}^{2}$

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Problem 8454

8 Power cables normally operate at temperatures up to about $10^{\circ} \mathrm{G}$ If a short circuit occurs, considerable heat may be evolved which cannot escape quickly. The temperature of the conductor must never rise above $250^{\circ} \mathrm{C}$ or the electrical insulation will be damaged.
Under short-circuit conditions, a current of 7000 A lasts for 1.0 s in a cable that has an effective area of cross-section $50 \mathrm{~mm}^{2}$ , resistance per unit length $0.40 \Omega \mathrm{~km}^{-1}$ and density $8.9 \times 10^{3} \mathrm{~kg} \mathrm{~m}^{-3}$ . a Calculate the heat evolved in 1.0 m of cable during this short circuit. b Calculate the rise in temperature of the cable.

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Problem 8455

Q1: A pair of dice was rolled. The random variable $X$ represent the sum of the numbers on the two dice. What is the probability mass function? What is the cumulative mass function? Draw the probability mass function and the cumulative mass function. What is the probability of getting an even sum? What is the probability that for a single roll of the two dice, the sum of the dots is equal to 11 ? What is the probability of obtaining a sum of 6 or less?

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Problem 8456

d a $y$ -intercept of -0.75 and a gradient of 0.75 (e) a $y$ -intercept of -2 and a gradient of 0 f a gradient of 0 and a $y$ -intercept of 4 . 5 Find the equation (in the form $a x+b y=c$ ) of a line which has: a a gradient of $-\frac{3}{2}$ and a $y$ -intercept at $(0,-0.5)$ b a $y$ -intercept of 2 and a gradient of $-\frac{3}{4}$ c a $y$ -intercept of -3 and a gradient of $\frac{4}{8}$ .

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Problem 8457

An anonymous survey of college students was taken to determine behaviors regarding alcohol, cigarettes, and illegal drugs. The results were as follows: 835 drank alcohol regularly, 655 smoked cigarettes, 205 used illegal drugs, 401 drank alcohol regularly and smoked cigarettes, 113 drank alcohol regularly and used illegal drugs, 126 smoked cigarettes and used illegal drugs, 96 engaged in all three behaviors, and 349 engaged in none of these behaviors. a) How many students were surveyed?

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Problem 8458

A power station gets rid of 600 MW of surplus energy into a nearby river. The river is 20 m wide, 3.0 m deep and flows at $1.2 \mathrm{~m} \mathrm{~s}^{-1}$ . Calculate the temperature rise.

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Problem 8459

Question 1 of 10, Step 1 of 2 0/14 Correct 3
A company makes two grades of paint, grade I, guaranteed for 5 years, and grade II, guaranteed for 10 years. A gallon of grade I costs $\$ 3.50$ to make, while a gallon of grade II costs $\$ 3.70$ to make. The weekly fixed costs are $\$ 3450$ .
Step 1 of 2 : Find the cost function $C(x, y)$ for making $x$ gallons of grade I and $y$ gallons of grade II. Answer Tables Keypad Keyboard Shortcuts $C(x, y)=\square$ Submit Answer

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Problem 8460

a) Show that the cosine rule shown below can be rearranged to give $\cos A=\frac{b^{2}+c^{2}-a^{2}}{2 b c}$ b) What is the size of angle $\theta$ in the triangle below? Give your answer to the nearest degree.
Not drawn accurately Zoom

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Problem 8461

You are treating a patient who weighs 239 lb and is $5^{\prime} 9^{\prime \prime}$ tall. The recommended dosage is 3 mg per square meter. Calculate the recommended amount for this patient. Use the BSA rounded to hundredths. Round this answer to the hundredths place $\square$ mg

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Problem 8462

Question 9 of 10, Step 1 of 1 9/14 Correct 0
A company manufactures two models of a product, model $\boldsymbol{A}$ and model $\boldsymbol{B}$ . The cost for model $\boldsymbol{A}$ is $\$ 39$ and the cost for model $\boldsymbol{B}$ is $\$ 21$ . If the fixed costs are $\$ 640$ , the total cost function is given by $C(x, y)=640+39 x+21 y$ , where $x$ is the number of model $A$ and $y$ is the number of model $B$ . Find $C(56,60)$ . Answer Tables Keypad Keyboard Shortcuts $C(56,60)=\$ \square$ Submit Answer

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Problem 8463

Solve the dosage by weight conversion problem. Weight 22 pounds. Ordered dose: 33 milligrams per kilogram per day Recommended dose from drug label : 25 - 50 milligrams per kilogram per day in equally divided doses every 8 hours. a) Does the doctor's order fit within the recommended safe guidelines? b) What is the daily dose? c) What is the individual dosage? a) Does the doctor's order fit within the recommended safe guidelines? Yes No

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Problem 8464

The price of an adult's ticket is $\$$ $\square$ .
Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of a rectangular traffic sign is 128 inches. Also, its length is 12 inches longer than its width. Find the dimensions of this sign.
What is the length of the sign?
The length of the sign is $\square$ (1) $\qquad$
What is the width of the sign?
The width of the sign is $\square$ (2) $\qquad$ (1) $0 \mathrm{in}^{2}$ . (2) in . $i n^{3}$ . in. in. $i n^{3}$

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Problem 8465

THIS IS A PRACTICE TEST $2 \square$ Mark for Review (45)
A line in the $x y$ -plane has a slope of $\frac{1}{9}$ and passes through the point $(0,14)$ . Which equation represents this line? (A) $y=-\frac{1}{9} x-14$ (B) $y=-\frac{1}{9} x+14$ (C) $y=\frac{1}{9} x-14$
D $y=\frac{1}{9} x+14$

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Problem 8466

(a) What is Kala's pay for a house call if she doesn't work any hours $\$ \square$ (b) What is her pay if she works 1 hour? $\$ 5$

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Problem 8467

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. The owner of a football team claims that the average attendance at games is over 523 , and he is therefore justifled in moving the team to a city with a larger stadium. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is failure to reject the null hypothesis, state the conclusion in nontechnical terms. A. There is sufficient evidence to support the claim that the mean attendance is greater than 523 B. There is not sufficient evidence to support the claim that the mean attendance is greater than 523 C. There is sufficient evidence to support the claim that the mean attendance is less than 523 D. There is not sufficient evidence to support the claim that the mean attendance is less than 523 .

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Problem 8468

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. Carter Motor Company claims that its new sedan, the Libra, will average better than 32 miles per gallon in the city. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms. A. There is not sufficient evidence to support the claim that the mean is less than 32 miles per gallon. B. There is not sufficient evidence to support the claim that the mean is greater than 32 miles per gallon C. There is sufficient evidence to support the claim that the mean is less than 32 miles per gallon D. There is sufficient evidence to support the claim that the mean is greater than 32 miles per gallon.

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Problem 8469

Use the given information to find the p-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis). With $\mathrm{H}_{1}: \mathrm{p} \neq 0.377$ , the test statistic is $\mathrm{z}=3.06$ . A. 0.0011 ; fail to reject the null hypothesis B. 0.0011; reject the null hypothesis C. 0.0022 ; fail to reject the null hypothesis D. 0.0022; reject the null hypothesis

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Problem 8470

41) (Bonus Question) What is the strongest oxidizing agent of the following set: $\mathrm{FeO}_{2} \mathrm{Fe}_{2} \mathrm{O}_{3}$ . $\mathrm{Fe}_{3} \mathrm{O}_{4}$ , $\mathrm{FeO}_{4} 2-$ ? A) FeO B) $\mathrm{Fe}_{2} \mathrm{O}_{3}$ C) $\mathrm{eO}_{4}^{2-}$ D) $\mathrm{Fe}_{3} \mathrm{O}_{4}$ +2 $+3$ $+6$ $+2,+3$ $\left(\mathrm{FeO} \bullet \mathrm{Fe}_{2} \mathrm{O}_{3}\right.$

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Problem 8471

Suppose that for a company manufacturing calculators, the cost, and revenue equations are given by $C=70000+40 x, \quad R=200-\frac{x^{2}}{40}$ where the production output in one week is $x$ calculators. If the production rate is increasing at a rate of 500 calculators when the production output is 6000 calculators, find each of the following:
Rate of change in cost $=$ $\square$
Rate of change in revenue $=$ $\square$
Rate of change in profit $=$ $\square$

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Problem 8472

6. The duration of a telephone call (in seconds) has a uniform distribution over the interval $[0,200]$ . With probability $1 / 20$ , the telephone call is a roaming connection and a proportional charge of 2 cents per second is added; in other cases the telephone cost is included in a monthly standing charge of $\$ 50$ . There were 120 independent connections in May. a) Calculate the expected value of the invoice for May. b) Using the Poisson theorem, approximate the probability that at least three calls resulting in extra charges of at least $\$ 1$ each were made.

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Problem 8473

A retail store estimates that weekly sales $s$ and weekly advertising costs $\boldsymbol{x}$ (both in dollars) are related by $s=50000-390000 e^{-0.0008 x}$
The current weekly advertising costs are 2000 dollars and these costs are increasing at the rate of 300 dollars per week. Find the current rate of change of sales.
Rate of change of sales $=$ $\square$

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Problem 8474

Test the claim about the population mean $\mu$ at the level of significance $\alpha$ . Assume the population is normally distributed. Claim: $\mu<4815 ; \alpha=0.02$ Sample statistics: $\bar{x}=4917, s=5501, n=54$
What are the null and alternative hypotheses? $H_{0}: \mu \geq 4815$ $H_{a}: \mu<4815$ (Type integers or decimals. Do not round.) Find the standardized test statistic t . $t=.14$ (Round to two decimal places as needed.) Find the P -value. $P=.556$ (Round to three decimal places as needed.) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below. $\square$ $\mathrm{H}_{0}$ . There $\square$ enough evidence at the $\square$ \% level of significance to $\square$ the claim.

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Problem 8475

A data set includes weights (in grams) of 32 Reese's Peanut Butter Cup Miniatures. The accompanying Statdisk display shows results from using all 32 weights to test the claim that the sample is from a population with a mean equal to 8.953 g . Test the given claim by using the display provided from Statdisk. Use a 0.01 significance level.
Click the icon to view the Statdisk display.
Identify the null and alternative hypotheses. $\mathrm{H}_{0}$ : $\square$ $\square$ $\square$ $\mathrm{H}_{1}$ $\square$ (Type integers or decimals. Do not round.)
Statdisk Display Cancel ``` t Test Test Statistic, t -3.79818 Criticalt: }\pm2.7440 P-value: 0.00064 ``` Print Done

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Problem 8476

Part 1 of 3
Use a table to find the product of $(3 x+4)\left(x^{2}+3 x-2\right)$ . How are the like terms in a table arranged?
Complete the table below. \begin{tabular}{|c|c|c|c|} \hline & $x^{2}$ & $+3 x$ & -2 \\ \hline $3 x$ & $\square$ & $\square$ & $\square$ \\ \hline+4 & $\square$ & $\square$ & $\square$ \\ \hline \end{tabular} (Simplify your answers.) Video Textbook Get more help -

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Problem 8477

A data set includes wait times (minutes) for the Tower of Terror ride at Walt Disney World's Hollywood Studios theme park at 5:00 PM. Using 37 of the times to test the claim that the mean of all such wait times is more than 30 minutes, the accompanying Excel display is obtained. Test the given claim by using the display provided from Excel. Use a 0.10 significance level.
Click the icon to view the Excel display.
Identify the null and alt $\mathrm{H}_{0}$ : $\square$ $\square$ $\mathrm{H}_{1}$ $\square$ $\square$ $\square$ (Type integers or deci $\square$ Excel Display \begin{tabular}{|lr|} \hline Difference & 3 \\ \hline t (Observed value) & 0.929 \\ t (Critical value) & 1.306 \\ DF & 36 \\ p-value (one-tailed) & 0.180 \\ alpha & 0.10 \\ \hline \end{tabular}

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Problem 8478

5. The tank in Fig. 28 contains 80 lb of salt dissolved in 500 gal of water. The inflow per minute is 20 lb of salt dissolved in 20 gal of water. The outflow is $20 \mathrm{gal} / \mathrm{min}$ of the uniform mixture. Find the time when the salt content $y(t)$ in the tank reaches $95 \%$ of its limiting value (as $t \rightarrow$ $\infty)$ .
Fig. 28. Tank in Problem 28

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Problem 8479

Name
Practice Period $\qquad$ Date
Dec/1/24 Go Online You can complete your homework online. Evaluate each expression if $a=\frac{7}{8}, b=-\frac{7}{16}, c=0.8, d=\frac{1}{4}$ . (Example 1)
1. $\frac{a}{b}-c+d$ $\qquad$ $-\frac{51}{20}$
2. $a+b+c d$ $=\frac{51}{80}$
3. $c-a+\frac{b}{d}$ $\qquad$
4. $\frac{b}{a}+\frac{c}{d}$
5. $a^{2}-b$
6. $a+\frac{b}{c}-d$
Evaluate each expression if $a=\frac{7}{10}, b=\frac{3}{5}, c=-1.9$ . and $d=-\frac{1}{2}$ . Write vour answer in

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Problem 8480

Heights $(\mathrm{cm})$ and weights $(\mathrm{kg})$ are measured for 100 randomly selected adult males, and range from heights of 133 to 193 cm and weights of 41 to 150 kg . Let the predictor variable $x$ be the first variable given. The 100 paired measurements yield $\bar{x}=167.34 \mathrm{~cm}, \bar{y}=81.41 \mathrm{~kg}, \mathrm{r}=0.193, P$ -value $=0.054$ , and $\hat{y}=-106+1.11 x$ . Find the best predicted value of $\hat{y}$ (weight) given an adult male who is 184 cm tall. Use a 0.01 significance level.
Click the icon to view the critical values of the Pearson correlation coefficient r .
The best predicted value of $\hat{y}$ for an adult male who is 184 cm tall is 81.41 kg . (Round to two decimal places as needed.)

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Problem 8481

Identify the ONE FALSE statement regarding the electrochemical cell $\mathrm{Co}(\mathrm{~s})\left|\mathrm{CoSO}_{4}(1.00 \mathrm{M}) \| \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{3}(1.00 \mathrm{M}), \mathrm{Fe}\left(\mathrm{NO}_{3}\right)_{2}(1.00 \mathrm{M})\right| \mathrm{Pt}(\mathrm{~s})$ for which $\mathrm{E}_{\text {cell }}=+1.05 \mathrm{~V}$ . The cell contains a KCl salt bridge. Increasing the concentration of $\mathrm{CoSO}_{4}(\mathrm{aq})$ reduces the cell potential. $\mathrm{K}^{+}$ ions from the salt bridge migrate to the cathode. $\mathrm{Pt}(\mathrm{s})$ is the cathode. $\mathrm{Fe}^{3+}$ ions migrate toward the $\mathrm{Pt}(\mathrm{s})$ electrode. The $\mathrm{Co}^{2+}$ concentration decreases during operation of the cell.

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Problem 8482

1- Write a Python program that requests five integer values from the user. It then prints the maximum and minimum values entered. If the user enters the values $3,2,5,0$ , and 1 , the program would indicate that 5 is the maximum and 0 is the minimum. Your program should handle ties properly; for example, if the user enters 2, 42, 3 and 3, the program should report 2 as the minimum and 4 as maximum.

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Problem 8483

1 Complete the conversions. 1 metre $=$ $\qquad$ centimetres
1 litre = $\qquad$ millilitres $3 \mathrm{~cm}=$ $\qquad$ mm

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Problem 8484

A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 410 gram setting. Is there sufficient evidence at the 0.05 level that the bags are underfilled? Assume the population is normally distributed.
State the null and alternative hypotheses for the above scenario.

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Problem 8485

What pressure of carbon dioxide is needed to maintain a $\mathrm{CO}_{2}$ concentration of 0.67 M in a can of grape soda if the constant for $\mathrm{CO}_{2}$ is $1.3 \times 10^{-3} \mathrm{M} /$ atm at $25^{\circ} \mathrm{C}$ ?
Give your answer in atm to the nearest tenth. Do not put units in the answer space.

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Problem 8486

Multiples Write the first five multiples of each number.
9. 10 8.9 7.8 11.4 10.6

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Problem 8487

14. How are the terms difference, sum, quotient, and product alike?

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Problem 8488

$14{ }^{F}$ is inversely proportional to the square of $v$ . Given that $F=6.5$ when $\nu=4$ find a formula for $F_{\text {in }}$ terms of $v$ .

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Problem 8489

The first four terms of a linear sequence are shown below: $25,20,15,10$
Find the value of the 6 th term in the sequence.

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Problem 8490

QUESTION 1
1. Assume you inhale a breath and your lungs are 2.60 liters in volume and the temperature of your lungs is 37C. . When you exhale what volume would that be if you exhaled into a container at -103 C. State the volume in milliliters

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Problem 8491

The sum of 132 and 402 is exactly divisible by which number?
F 4 G 6 H 8 J 9 If None of these

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Problem 8492

Pseudocode: Output ana Malak Nomaka Order and Output
FIRST LINE OF CODE : input NUMI : input NUM2 : calculate SUM = NUMI + NUM2 : calculate RESULT = SUM / 2 : display RESULT
LAST LINE OF CODE
The code is written to find the average between two numbers. The lines of code are currently out of order. Well done, the code is in the correct order! Determine the codes output if the first number entered is 5 and the second number entered is 10 .
I will let you know when your response is correct.

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Problem 8493

A box contains ten cards labeled $Q, R, S, T, U, V, W, X, Y$ , and $Z$ . One card will be randomly chosen. What is the probability of choosing a letter from $U$ to $Z$ ?
Write your answer as a fraction.

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Problem 8494

9. Un rectangle mesure $3,9 x$ de large sur $5 x$ de long. Quelle est l'aire de ce rectangle?

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Problem 8495

more than 30 minutes, the accompanying Excel display Click the icon to view the Excel display.
Identify the null and alternative hypotheses. $\mathrm{H}_{0}$ $\square$ $\square$ $\square$ $H_{1}$ $\square$ (Type integers or decimals. Do not round.)

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Problem 8496

A data set includes wait times (minutes) for the Tower of Terror ride at Walt Disney World's Hollywood Studios theme park at 5:00 PM. Using 35 of the times to test the claim that the mean of all such wait times is more than 30 minutes, the accompanying Excel display is obtained. Test the given claim by using the display provided from Excel. Use a 0.05 significance level.
Click the icon to view the Excel display.
Identify the null and alternative hypotheses. $H_{0}: \mu=30$ $H_{1}: \mu>30$ (Type integers or decimals. Do not round.) Identify the test statistic. 1.02 (Round to two decimal places as needed.) Identify the P -value. 0.157 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. $\square$ the null hypothesis. There $\square$ sufficient evidence at the 0.05 significance level to $\square$ the claim that the population mean of all wait times for the Tower of Terror ride at 5:00 PM is more than 30 minutes.

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Problem 8497

g) Of the $\$ 500000$ paid for the property, $\$ 150000$ was for the block of land, and the rest was for building the house. Find the ratio of land to total property price.

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Problem 8498

How long will it take for a $\$ 3000$ investment to grow to $\$ 3873$ at an annual rate of $9.4 \%$ , compounded quarterly? Assume that no withdrawals are made. Do not round any intermediate computations, and round your answer to the nearest hundredth. $\square$ years

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Problem 8499

re using the techrilques. Slaphty cvent thist a randamly chasen participant did not report a solld inprovemest in performance atter uaing the veualluation technicues. Fill in the probabilitse to complete the tree disgram below, and then anower the quertion that followas. Do not nound any of preur resporse: (if necresary, consult a let of formulas-) (d) Fill in the miseing probobilites. $P(I \mid G)=\square$ $P(G)=\square \quad P(G \cap I)=$ $\square$ $\square$ $P(I \mid G)=0.75$ $P(G \cap I)=\square$ $\square$ $P(\boldsymbol{I} \mid G)=$ $\square$ $P(G \cap \bar{l})=$ $\square$ $P(G)=0.4$ improvement in pertormance ater ubag the wlusalization tobhnicues?

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Problem 8500

Classification of variables and levels of measurement each of the variables described below, indicate whether it is a quantitative or a categorical (qualitative) variable. Also, indicate the level of measurement for the variable: nominal, ordinal, interval, or ratio. Make sure your responses are the most specific possible. \begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{1}{|c|}{ Variable } & \multicolumn{1}{c|}{\begin{tabular}{c} Type of \\ variable \end{tabular}} & \multicolumn{1}{c|}{\begin{tabular}{|l|l|l|} Level of \\ measurement \end{tabular}} \\ \hline (a) Temperature (in degrees Fahrenheit) \end{tabular}

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1 ...82 83 84 85 86 87 88 ...122

Word Problem

Problem 8401

11 Given $250,000\$ 250,000$250,000 today, determine the equivalent series of 10 annual payments which could be generated beginning in 1 year. Assume interest is 12 percent compounded annually.

Problem 8402

Problem 8403

Pewrite the ratio 8:368: 368:36 as an equivalent ratio of the form 1 : nnn Cile any decimals in your ans wer to 1 dp

Problem 8404

Problem 8405

27. The usual price of a video game is $450\$ 450$450. At a sale, Joanne got a discount of 20%20 \%20%. She then got a further 5%5 \%5% discount on the discounted price. How much did she pay for the video game?

Problem 8406

Arrange in order the steps required to obtain a systematic random sample. (i) InstructionsDivide the population size by the sample size and round down, calling the result kkk.Select every kkk th population unit thereafter.Randomly select one of the first kkk population units as the starting point.

Problem 8407

Iarrim në konsideratë një shpërndarje F me shkallë lirie 3 dhe 30. Cila është përqindja e sipërfaqes nën lakore në të djathtë të Fs=4.51? Cila është përqindja e sipërfaqes nën lakore në të majtë të Fs=2.92?

Problem 8408

Suppose we want to create a systematic random sample of 100 people from a population of 4398 people. Using a random number generator, the first person selected is \#15. Which of the following people will also be included in the sample? \#120 \#144 \#60 \#58 \#129 \#101 \#86

Problem 8409

Problem 8410

Problem 8411

1.Yukarıdaki grafik bir GSM firmasının 5 aylik kazancını göstermektedir.Buna göre firmanın verilen zaman diliminde aylik kazançların ortalaması kaç milyon TL'dir? A) 184 B) 196 C) 204 D) 216

Problem 8412

Problem 8413

Problem 8414

Problem 8415

Problem 8416

Problem 8417

Problem 8418

Problem 8419

Problem 8420

Problem 8421

اوجد كل المثلثات الفيثاغورية البدانية التي طول احد الساقين فيها يساوي 80 .

Problem 8422

Problem 8423

The equation of an exponential function has the form y=Abxy=A b^{x}y=Abx. How can you tell from the equation whether the exponential function represents growth or decay?

Problem 8424

Problem 8425

Problem 8426

2. (MP) Use Tools Marcela gets to school later than her friend Kim about half the time. Describe a way to simulate this event for 10 school days. Then perform the simulation. How many times does it show Marcela arriving later than Kim? What is the experimental probability of this event?

Problem 8427

Problem 8428

Problem 8429

Problem 8430

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del 12%12 \%12% en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

Problem 8431

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del 12\% en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

Problem 8432

10. En una competencia de deportes, participaron 200 personas. Al final, se otorgan premios al 15%15 \%15% de los participantes. El organizador de la competencia necesita saber cuántas personas ganaron un premio. ¿Cuántas personas ganaron un premio?

Problem 8433

Resuelve y contesto: ¿Cuál es el consecuente de una razón geométrica cuyo valor es 4/54 / 54/5 y al antecedente es 68?68 ?68? Resolución:

Problem 8434

Problem 8435

5. ∠LJB\angle L J B∠LJB and ∠IJM\angle I J M∠IJM are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

Problem 8436

Problem 8437

Problem 8438

Problem 8439

Problem 8440

Problem 8441

3. △DEF\triangle D E F△DEF has vertices at D(8,−2),E(1,−3)D(8,-2), E(1,-3)D(8,−2),E(1,−3), and F(9,−9)F(9,-9)F(9,−9). Use special segments to determine if EFE FEF is the base of an isosceles triangle. ρ(8,−2)\rho(8,-2)ρ(8,−2)

Problem 8442

Problem 8443

Problem 8444

5. What nominal interest rate with continuous compounding of interest is required so that a deposit will double after 10 years.?

Problem 8445

Problem 8446

Problem 8447

41.0 kg of water per second flows through the cooling system of a diesel engine. The difference between the temperatures of the incoming and outgoing water is 5.0 K . How much energy is being removed each second?

Problem 8448

Problem 8449

Problem 8450

Problem 8451

An electron microscope can magnify an object from 3000 times to 100,000 times. Assuming these values are exact, express these magnifications MMM as an inequality and graph them. \qquadExpress M as a single inequality.

Problem 8452

Problem 8453

Problem 8454

Problem 8455

Problem 8456

Problem 8457

Problem 8458

A power station gets rid of 600 MW of surplus energy into a nearby river. The river is 20 m wide, 3.0 m deep and flows at 1.2 m s−11.2 \mathrm{~m} \mathrm{~s}^{-1}1.2 m s−1. Calculate the temperature rise.

Problem 8459

11 Given $\$ 250,000$ today, determine the equivalent series of 10 annual payments which could be generated beginning in 1 year. Assume interest is 12 percent compounded annually.

Pewrite the ratio $8: 36$ as an equivalent ratio of the form 1 : $n$ Cile any decimals in your ans wer to 1 dp

27. The usual price of a video game is $\$ 450$ . At a sale, Joanne got a discount of $20 \%$ . She then got a further $5 \%$ discount on the discounted price. How much did she pay for the video game?

1.
Yukarıdaki grafik bir GSM firmasının 5 aylik kazancını göstermektedir.
Buna göre firmanın verilen zaman diliminde aylik kazançların ortalaması kaç milyon TL'dir? A) 184 B) 196 C) 204 D) 216

The equation of an exponential function has the form $y=A b^{x}$ . How can you tell from the equation whether the exponential function represents growth or decay?

Marta está comprando un libro que cuesta 150 pesos. En la librería aplican un descuento del $12 \%$ en todos los libros. ¿Cuánto dinero ahorrará Marta al comprar el libro con el descuento?

10. En una competencia de deportes, participaron 200 personas. Al final, se otorgan premios al $15 \%$ de los participantes. El organizador de la competencia necesita saber cuántas personas ganaron un premio. ¿Cuántas personas ganaron un premio?

Resuelve y contesto: ¿Cuál es el consecuente de una razón geométrica cuyo valor es $4 / 5$ y al antecedente es $68 ?$ Resolución:

5. $\angle L J B$ and $\angle I J M$ are congruent. If the sum of the measures of the angles is 90 , what type of angle are they? (A) acute (B) obtuse (C) right (D) straight

3. $\triangle D E F$ has vertices at $D(8,-2), E(1,-3)$ , and $F(9,-9)$ . Use special segments to determine if $E F$ is the base of an isosceles triangle. $\rho(8,-2)$

An electron microscope can magnify an object from 3000 times to 100,000 times. Assuming these values are exact, express these magnifications $M$ as an inequality and graph them. $\qquad$
Express M as a single inequality.

A power station gets rid of 600 MW of surplus energy into a nearby river. The river is 20 m wide, 3.0 m deep and flows at $1.2 \mathrm{~m} \mathrm{~s}^{-1}$ . Calculate the temperature rise.

a) Show that the cosine rule shown below can be rearranged to give $\cos A=\frac{b^{2}+c^{2}-a^{2}}{2 b c}$ b) What is the size of angle $\theta$ in the triangle below? Give your answer to the nearest degree.
Not drawn accurately Zoom

(a) What is Kala's pay for a house call if she doesn't work any hours $\$ \square$ (b) What is her pay if she works 1 hour? $\$ 5$