Word Problem

Problem 6501

\begin{align} \text{21. (i) Find the number which when increased by } 30\% \text{ becomes 39.} \\ \text{(ii) Find the number which when decreased by } 8\% \\ \end{align}

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Problem 6502

```latex Diketahui hasil belajar statistik mahasiswa 50 orang, nilainya kamu tentukan sendiri. Ditanya:
a. Rata-rata hitung (mean) dengan metode Coding
b. Rata-rata ukur geometri
c. Kuartil ketiga ( $Q_{3}$ )
d. Desil kelima ( $D_{5}$ )
e. Persentil ke-30 ( $P_{30}$ )

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Problem 6503

SAT scores: Assume that in a given year the mean mathematics SAT score was 605 , and the standard deviation was 136. A sample of 76 scores is chosen. Use Excel.
Part: $0 / 5$
Part 1 of 5 (a) What is the probability that the sample mean score is less than 589 ? Round the answer to at least four decimal places.
The probability that the sample mean score is less than 589 is $\square$

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Problem 6504

I Karasjok ble det de sju siste dagene i 2022 målt følgende temperaturer kl 12 om formiddagen: $-24.7^{\circ} \mathrm{C},-8.4^{\circ} \mathrm{C},-5.6^{\circ} \mathrm{C},-8.1^{\circ} \mathrm{C},-26.2^{\circ} \mathrm{C},-6.7^{\circ} \mathrm{C},-3.0^{\circ} \mathrm{C}$ .
Gjennomsnittstemperaturen over de ti siste årene i Karasjok den siste uka i desember er $-12.1^{\circ} \mathrm{C}$ . Vi skal nå unders $\varnothing$ ke om gjennomsnittstemperaturen siste uka i 2022 har vært signifikant forskjellig fra tidligere år. b: Sett opp en nullhypotese og en alternativ hypotese. Forklar hvorfor du har valgt de to hypotesene og hva slags hypotesetest du mener er riktig å benytte i dette tilfellet.

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Problem 6505

\documentclass{article} \usepackage[utf8]{inputenc}
\begin{document}
Many luxury automobiles have thermostatically controlled air-conditioning systems for the comfort of the passengers. Sketch a block diagram of an air-conditioning system where the driver sets the desired interior temperature on a dashboard panel. Identify the function of each element of the thermostatically controlled cooling system.

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Problem 6506

Explain what each of the following expressions means. Evaluate each expression for $x=0.5$ . NOTE: Give the exact answer in radians, or round to three decimal places. (a) $\sin ^{-1}(x)$ is $\square$ $\sin ^{-1}(x)=$ $\square$ (b) $\sin x^{-1}$ is $\square$ $\sin \left(x^{-1}\right)=$ $\square$ (c) $(\sin (x))^{-1}$ is $\square$ $(\sin (x))^{-1}=$ $\square$

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Problem 6507

Premise 1: Everyone who watches television eats tv dinners. Premise 2: Alice does not eat tv dinners. Conclusion: Alice does not watch television. Decide whether the above argument is inductive or deductive. Select an answer $\vee$ If the above argument is inductive, decide if it is strong or weak. Select not applicable if the argumelit is deductive.
Select an answer $\sim$ If the above argument is deductive, decide if it is valid or invalid and if it is sound or unsound. Select not applicable if the argument is inductive.
Select an answer - Select an answer $\vee$

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Problem 6508

Find the vertical asymptotes of the function $h(\theta)=\tan \theta+2$ in the interval $0 \leq \theta \leq 2 \pi$ .
Number of asymptotes: Choose one

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Problem 6509

Une coopérative scolaire possède un terrain rectangulaire pour produire des tomates. Pour augmenter sa production, le bureau de la coopérative décide d'agrandir son espace en achetant une parcelle de forme carrée et mitoyenne au terrain. Le côté de la parcelle a la même mesure que la largeur du terrain. Afin de clôturer l'espace totale de production, ils se proposent de calculer le périmètre. Cependant, ils se souviement que la longueur du terrain initial est de 20 mètres et la superficie de l'ensemble est de 525 mètres carrés. Il te sollicite pour déterminer le côté de la parcelle à acheter.
A l'aide d'une production argumentée, réponds à la préoccupation du bureau

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Problem 6510

При каком значении переменной выражение НЕ имеет смысла?
Запиши в каждое поле для ответа верное число. $\frac{5-\mathrm{a}}{\mathrm{a}} \text { при } \mathrm{a}=0$ $\frac{3 \mathrm{~m}+1}{-2+\mathrm{m}} \text { при } \mathrm{m}=$ $-2$ $\frac{2 \mathrm{x}}{4+\mathrm{x}} \text { при } \mathrm{x}=$ $-4$

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Problem 6511

La dyschromatopsie, trouble de la vision des couleurs le plus courant (également appelé daltonisme) affecte, en France 8\% des hommes et $0.4 \%$ des femmes. A l'aide d'une approximation pertinente, calculer la probabilité que, sur 500 femmes, une au moins présente ce trouble.

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Problem 6512

You are offered two different sales jobs. The first company offers a straight commission of $3 \%$ of the sales. The second company offers a salary of $\$ 250$ per week plus $2 \%$ of the sales. How much would you have to sell in a week in order for the straight commission offer to be at least as good?
Question Help: Video Submit Question

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Problem 6513

Money Arguments A survey found that one in five couples often argue about money. A random sample of 200 couples found that 36 couples said that they often argued about money. Is there significant evidence at the 0.05 level to conclude that the proportion is less than one in five couples? Use the critical value method. Do not round intermediate steps.
Part: $0 / 5$
Part 1 of 5 (a) State the hypotheses and identify the claim. $\begin{array}{l} H_{0}: \square(\text { Choose one } \nabla \\ H_{1}: \square(\text { Choose one } \nabla \end{array}$
This hypothesis test is a (Choose one) $\nabla$ test. $\square$

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Problem 6514

A rope is 73.5 m long. It is cut into 5 pieces of equal length. How long is each piece?
Give your answer in metres (m).

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Problem 6515

In September, a stream had a depth of 112 mm . The depth of the stream in October had decreased by $13 \%$ compared to September.
What was the depth of the stream in October? Give your answer in millimetres (mm).

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Problem 6516

'ythagoras' theorem can be used to work out an unknown side length of a rightangled triangle.
Copy and complete the workings below to calculate the unknown side length, $a$ . $\begin{aligned} a^{2}+8^{2} & =17^{2} \\ a^{2} & =17^{2}-8^{2} \\ a^{2} & =\ldots \\ a & =\ldots . \end{aligned}$ ans
Not drawn accurately

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Problem 6517

Amy paid $\$ 64.89$ for a pair of running shoes during a $40 \%$ -off sale. What was the regular price?
The regular price was \\square$ . (Round to the nearest cent, if necessary.)

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Problem 6518

Evaluate the infinite series by identifying it as the value of a derivative of a geometric series. $\sum_{n=1}^{\infty} \frac{n}{4^{n}}=$ $\square$ Hint: Write it as $f^{\prime}\left(\frac{1}{4}\right)$ where $f(x)=\sum_{n=0}^{\infty} x^{n}$ . Question Help: D Post to forum

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Problem 6519

Aufgabe 33 Der Punkt $P^{\prime}(13 \mid 0)$ ist entstanden durch eine Spiegelung des Punktes $P(5 \mid 12)$ an der Ursprungsgeraden $g$ .
Bestimmen Sie die Steigung von $g$ .

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Problem 6520

Every mint plant for sale in a garden centre is the same price.
It costs $£ 11.90$ to buy 7 mint plants. How much would it cost to buy 28 mint plants? Give your answer in pounds $(£)$ .

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Problem 6521

What kind of transformation converts the graph of $f(x)=-7 x-10$ into the graph of $g(x)=$ $x-10$ ? horizontal stretch horizontal shrink vertical shrink vertical stretch

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Problem 6522

Bookwork code. 1E Calculator allowed
7 friends each bought one ticket to go to the theatre. Each ticket cost the same amount and the total cost was $£ 112$ .
How much did each ticket cost? Give your answer in pounds ( $£$ ). Watch video

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Problem 6523

Bookwork code: 1G Calculator allowed
Archie is going on holiday and needs to exchange some pounds $(£)$ for euros $(€)$ . How many euros can he get for $£ 22$ ? Give your answer to 2 decimal places.
Exchange rate £1 $=$ €1.12

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Problem 6524

What is $\frac{3}{100}$ written as a decimal?

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Problem 6525

What impact does deleting the data value 18 have on the mean of the dataset $(19,18,22,19,18,22,17,20,18)$ ? Round your answer to the nearest tenth. (1 point) Dataset 1 has a mean of 19.2, and dataset 2 has a mean of 17.3. Dataset 1 has a mean of 19.2, and dataset 2 has a mean of 19.4.
The mean of the original dataset is 18 and did not change with the deletion of the data value.
The mean of the original dataset is 19 and did not change with the deletion of the data value.

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Problem 6526

Lamonte is going to invest in an account paying an interest rate of 4\% compounded continuously. How much would Lamonte need to invest, to the nearest cent, for the value of the account to reach \$12,300 in 8 years?

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Problem 6527

Which measures of center will change when a value is added to the datasets?
Dataset 1: $(9,10,12,22,21,20,12,9,10,22,21,12,12,9,10)$
Dataset 2: $(9,10,12,22,21,20,12,9,10,22,21,12,12,9,10,12)$ (1 point) mean None. All the measures will stay the same. mode median

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Problem 6528

What kind of transformation converts the graph of $f(x)=6 x-1$ into the graph of $g(x)=x-$ 1 ? horizontal shrink vertical shrink horizontal stretch vertical stretch

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Problem 6529

12 Given that $x x+y=7$ and $3 x$ $-2 y=3$ by how much is $7 x$ greater th an 10 ? a> 1, b, 3 (c) 7 (d) 17

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Problem 6530

8-Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at $60 \mathrm{~km} / \mathrm{h}$ and the other is moving at $40 \mathrm{~km} / \mathrm{h} \mathrm{mph}$ . In how many hours will they meet? A. 2.5 B. 2.0

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Problem 6531

Bookwork code:5D Calculator not allowed
Evie is trying to add together $\frac{13}{25}$ and $\frac{4}{15}$ Her first step is to rewrite the fractions using their lowest common denominator.
What denominator should she use? (Hint: the lowest common denominator is the lowest common multiple of the denominators.) Watch video Answer Previous Type here to search

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Problem 6532

A medical researcher administers an experimental medical treatment to 200 patients. The patients in the study are categorized by blood types $A, B, A B$ , and $O$ . The researcher observed that the treatment had a favorable outcome for 35 of the 50 patients with blood type $A, 17$ of the 68 patients with blood type $B, 12$ of the 12 patients with blood type $A B$ , and none of the 70 patients with blood type $O$ . Use this information to complete parts (a) through (d). a) Determine the empirical probability of a favorable outcome for those patients with blood type A . $\mathrm{P}($ favorable A $)=0.7$ (Type an integer or decimal rounded to the nearest hundredth as needed.) b) Determine the empirical probability of a favorable outcome for those patients with blood type B. $P($ favorable $B)=$ $\square$ (Type an integer or decimal rounded to the nearest hundredth as needed.)

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Problem 6533

37. A particular brand of dishwasher soap is sold in three sizes: $25 \mathrm{oz}, 40 \mathrm{oz}$ , and 65 oz . Twenty percent of all purchasers select a 25 oz box, fifty percent select a 40 oz box, and the remaining thirty percent choose a 65 oz box. Let $X_{1}$ and $X_{2}$ denote the package sizes selected by two independently selected purchasers. a. Determine the sampling distribution of $\bar{X}$ , calculate $E(\bar{X})$ , and compare to $\mu$ . b. Determine the sampling distribution of the sample variance $S^{2}$ , calculate $E\left(S^{2}\right)$ , and compare to $\sigma^{2}$ .

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Problem 6534

Linda, Pablo, and Ahmad have a total of $\$ 100$ in their wallets. Ahmad has 3 times what Linda has. Linda has $\$ 10$ less than Pablo. How much do they have in their wallets?

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Problem 6535

The ratio of red to blue marbles in a bowl is $7: 8$ . There are 30 marbles total. How many red and blue marbles are there? A. 7 red and 8 blue B. 8 red and 7 blue C. 10 red and 12 blue D. 14 red and 16 blue

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Problem 6536

3 3.1
Gaston bought two types of candies: red candies that cost $\$ 0.60$ each and green candies that each cost $z$ times as much as a red candy. If the cost of 3 red candies and 1 green candy was $\$ 3$ , what is the value of $z$ ?

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Problem 6537

9 Mark for Review
Circle A in the $x y$ -plane has the equation $(x+5)^{2}+(y-5)^{2}=4$ . Circle B has the same center as circle $A$ . The radius of circle $B$ is two times the radius of circle $A$ . The equation defining circle B in the $x y$ -plane is $(x+5)^{2}+(y-5)^{2}=x_{2}^{2}$ , where $k$ is a constant. What is the value of $k$ ? $\square$
Answer Preview:

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Problem 6538

Question 1
Sort the calculations into the correct part of the table. $\frac{8}{8}$ $\begin{array}{l} \frac{3}{4}+\frac{5}{8}=\frac{11}{8} \\ \frac{23}{24}-\frac{1}{4}-\frac{5}{8} \\ \frac{23}{24}+\frac{1}{4} \end{array}$ $\begin{array}{l} \frac{2}{5}+\frac{9}{25} \\ \frac{2}{5}-\frac{9}{25} \\ \frac{1}{7}+\frac{1}{56}-\frac{1}{56} \end{array}$ \begin{tabular}{|c|c|} \hline \begin{tabular}{c} Calculations with answers \\ less than 1 \end{tabular} & \begin{tabular}{c} Calculations with answers \\ greater than 1 \end{tabular} \\ \hline & $\frac{3}{4}+\frac{5}{8}$ \\ \hline \end{tabular}
Question 2 A painter uses the following mixtures. How much more green paint does she have than purple paint?

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Problem 6539

Question 2 A painter uses the following mixtures. How much more green paint does she have than purple paint?

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Problem 6540

REASONING Which of the following congruence statements are true? Select all that apply. $\overline{T U} \cong \overline{U V}$ $\triangle S T V \cong \triangle X V W$ $\triangle T V S \cong \triangle V W U$ $\triangle V S T \cong \triangle V U W$

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Problem 6541

EXAMPLE 7-5 Calculate the solubility of $\mathrm{Ba}\left(\mathrm{IO}_{3}\right)_{2}$ in a solution prepared by mixing 200 mL of $0.0100 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$ with 100 mL of 0.100 M NaIO .

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Problem 6542

Samir sold 4 of his old Star Leaper video games at Trading Post Game Shop. Before he left, he spent $\$ 23.65$ of his earnings on a controller. Samir had $\$ 6.35$ remaining.
Which equation can you use to find the amount of money, $v$ , Samir received for each video game? $23.65 v-4=6.35$ $4 v-23.65=6.35$ $4(v-23.65)=6.35$ $23.65(v-4)=6.35$
How much money did Samir receive for each video game? \$

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Problem 6543

What are the means of the two datasets listed? (Round your answers to the nearest thousandth if necessary.)
Dataset 1: $(22,29,3,10,15,22,29,8,13,11,23)$ Dataset 2: $(22,29,3,10,15,22,29,8,13,11)$ (1 point)
Dataset 1: $\square$
Dataset 2: $\square$

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Problem 6544

3. Suppose $U=$ The set of one digit numbers and $A=\{x: x$ is an even natural number less than or equal to 9 $\}$ Describe each of the sets by complete listing method: a. $A^{\prime}$ . b. $A \cap A^{\prime}$ . c. $A \cup \cup_{1}^{\prime}$ . d. $\left(A^{\prime}\right)^{\prime}$ . c. $\phi-U$ . f. $\phi^{\prime}$ g. $U^{\prime}$ .

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Problem 6545

Question Watch Video Show Examples
Gabriella is a high school basketball player. In a particular game, she made some two point shots and some three point shots. Gabriella scored a total of 32 points and made 4 more three point shots than two point shots. Determine the number of two point shots Gabriella made and the number of three point shots she made.
Answer
Gabriella made $\square$ two point shots and $\square$ three point shots. Submit Answer

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Problem 6546

The school art club at a large high school is in charge of designing school T-shirts and getting them printed this year. A local business charges $\$ 35$ to set up their T-shirt printing machine with the design and $\$ 4.25$ in materials per T -shirt to print. 1) Create an equation to represent the average $\operatorname{cost} C(x)$ , in dollars, per $T$ -shirt if $x T$ shirts are printed by this business. 2) What is the average cost per shirt to print 25 shirts? 100 shirts? 3) What is the cheapest the average cost per T-shirt will get? Explain or show your reasoning. 4) How many shirts should be printed to have an average cost of $\$ 5$ or less per shirt? Explain how you know.

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Problem 6547

A uniform beam of length, $L$ and mass, $M$ , is freely pivoted at one end about an attachment point in a wall. The other end is supported by a horizontal cable also attached to the wall so that the beam makes an angle $\phi$ with the horizontal as shown below.
If $L=0.9 \mathrm{~m} . M=15 \mathrm{~kg}$ . and $\phi=30^{\circ}$ , then what is the magnitude of the torque due to gravity about the pivot point? $\square$ Nm
If the $T$ $\square$ $\mathrm{rads} \mathrm{s}^{-2}$ HINT: The moment of intertia for a uniform beam about one end is given by $I=\frac{1}{3} M L^{2}$ .

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Problem 6548

Determine whether the following statements are true and give an explanation or counterexample. Assume that $f, f^{\prime}$ , and $f^{\prime \prime}$ and are continuous functions for all real numbers. Complete parts (a) through (e) below. a. Decide whether the statement $\int f(x) f^{\prime}(x) d x=\frac{1}{2}(f(x))^{2}+C$ is correct. Choose the correct answer below. A. True; $\int f(x) f^{\prime}(x) d x=\frac{1}{2}(f(x))^{2}+C$ B. False; $\int f(x) f^{\prime}(x) d x=2(f(x))^{2}+C$ C. False; $\int f(x) f^{\prime}(x) d x=\frac{1}{2}(f(x))^{2}\left(f^{\prime \prime}(x)\right)^{2}+C$ D. False; $\int f(x) f^{\prime}(x) d x=\frac{1}{2}(f(x))+C$

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Problem 6549

Jeff is buying books at a used bookstore. He wants to approximate the total cost of his purchase before checking out.
Which amount is the most reasonable approximation of the total price of the 5 books? $\$ 25.00$ $\$ 30.00$ $\$ 35.00$ $\$ 40.00$ \begin{tabular}{|c|} \hline Prices of Books \\ \hline $\$ 5.99$ \\ \hline $\$ 6.00$ \\ \hline $\$ 6.45$ \\ \hline $\$ 7.75$ \\ \hline $\$ 7.99$ \\ \hline \end{tabular}

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Problem 6550

Kyle's school is 2.34 mi from his house. One day, he rode his bike 2.5 times that distance. Which choice is the closest estimate of the number of miles Kyle rode his bike? 6 4 9 3

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Problem 6551

Use the accompanying sinking fund formula to determine the payment needed to reach the accumulated amount.
Monthly payments with $7 \%$ interest are compounded monthly for 26 years to accumulate \ $430,000.$ $p=\frac{A\left(\frac{r}{n}\right)}{\left(1+\frac{r}{n}\right)^{n t}-1}$ $
The monthly invested payment is $\$$ $\square$ (Do not round until the final answer. Then round up to the nearest cent.)

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Problem 6552

A uniform beam of length, $L$ and mass, $M$ , is freely pivoted at one end about an attachment point in a wall. The other end is supported by a horizontal cable also attached to the wall so that the beam makes an angle $\phi$ with the horizontal as shown below.
If $L=0.9 \mathrm{~m} . M=15 \mathrm{~kg}$ . and $\phi=30^{\circ}$ , then what is the magnitude of the torque due to gravity about the pivot point? $\square$ Nm
If the $T$ $\square$ $\mathrm{rads} \mathrm{s}^{-2}$ HINT: The moment of intertia for a uniform beam about one end is given by $I=\frac{1}{3} M L^{2}$ .

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Problem 6553

Using the Law of Sines to solve the all possible triangles if $\angle A=120^{\circ}, a=30, b=17$ . If no answer exists, enter DNE for all answers. $\angle B$ is $\square$ degrees $\angle C$ is $\square$ degrees $c=$ $\square$ Assume $\angle A$ is opposite side $a, \angle B$ is opposite side $b$ , and $\angle C$ is opposite side $c$ .

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Problem 6554

There are 87.4 calories in one serving of cherries. How many calories are in 3.85 servings?
Enter your answer in the box. $\square$ calories

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Problem 6555

In the triangle shown, - $\angle A=49$ degrees - $\angle B=49$ degrees - length $A B=7$
Find the measures of the other sides and angles $\angle C=82$ $\square$ degrees length $A C=$ $\square$ (Round your answer to three decimal places) length $B C=$ $\square$ (Round your answer to three decimal places)

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Problem 6556

9. Construct two line segments of lengths $A B=4.4 \mathrm{~cm}$ and $C D=2.8 \mathrm{~cm}$ . Then construct the following line segments. (a) $X Y=2 C D$ (b) $P Q=A B+C D$
10. If $P Q=2 \mathrm{~cm}$ and $R S=2.5 \mathrm{~cm}$ , then construct a line segment whose length is equal to (a) $P Q+R S$ (b) 2 PQ (c) RS - PQ

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Problem 6557

Answer the following questions. (a) What percent of 21.5 is 55.04 ? (b) What number is $15 \%$ of 45.4 ?

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Problem 6558

Using the Law of Sines to solve the all possible triangles if $\angle B=50^{\circ}, a=100, b=45$ . Round to 3 decimal places. If no answer exists, enter DNE for all answers. $\begin{aligned} \angle A & =\square \text { degrees } \\ \angle C & =\square \text { degrees } \\ c & =\square \end{aligned}$
Assume $\angle A$ is opposite side $a, \angle B$ is opposite side $b$ , and $\angle C$ is opposite side $c$ .

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Problem 6559

10. How many degrees are there in: (a) three right angles (b) $\frac{4}{5}$ of a straight angle (c) $\frac{4}{5}$ of a complete angle (d) two straight angles
11. Construct each of the following angles with the help of a protractor. (a) $30^{\circ}$ (b) $72^{\circ}$ (c) $90^{\circ}$ (d) $115^{\circ}$ (e) $165^{\circ}$ (f) $23^{\circ}$ (g) $180^{\circ}$ (h) $45^{\circ}$

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Problem 6560

The lengths of pregnancies in a small rural village is a normally distributed random variable X with a mean of 266 days and a standard deviation of 15 days.
What percentage of pregnancies last beyond 244 days? Enter answer as a decimal, round to 2 decimal places $P(X>244 \text { days })=$ $\square$ Question Help: Video

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Problem 6561

The driving distance was recorded for each Harper student in a sample of 30 . A $95 \%$ confidence interval for $\mu$ is $(12,24)$ miles. a) The individual object in the study was a randomly selected $\qquad$ This is computer-graded so use exact wording from the problem above. $\square$ b) What was the variable information recorded for each object in the study?
This is computer-graded so use exact wording from the problem above. $\square$ c) State the statistical interpretation of the confidence interval in the context of this problem. - Select an answer $\qquad$ the $\square$ driving distance of $\square$ ? Harper students is/are between $\square$ $\square$ and $\square$ $\square$ d) What is the symbol and value of the point estimate for $\mu$ ? $\square$ $? \quad 0=$ miles e) What is the margin of error for the given interval? $\square$ miles f) Fill in the boxes below to show the relation on the number line between the numeric values of the point estimate and the interval estimate for $\mu$ . $A=\square B=\square C=\square$

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Problem 6562

Proplems :-
Wetch the graph of the following prabolas and then find the vertex wxis of symmetry, $x$ and $y$ intercepts, $y=3 x^{2}+2$ the zero's for each parabola.

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Problem 6563

QUESTION 15 - 1 POINT If the median of a data set is 16 and the mean is 10 , which of the following is most likely?
Select the correct answer below: The data are skewed to the left. The data are skewed to the right. The data are symmetrical.

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Problem 6564

Español
A plumber charges a flat fee of $\$ 75$ to visit a home and examine a clogged drain. The plumber charges an additional $\$ 22$ per hour spent fixing the drain. The total cost, $C$ (in dollars), for fixing a drain that takes $h$ hours is given by the following. $C=75+22 h$
Answer the following questions. (a) What is the total cost for fixing a drain that takes 7 hours? $\square$ (b) If the plumber charged a total of $\$ 317$ , how many hours did he spend fixing the drain? $\square$ hours

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Problem 6565

If Normal Saline (NS) has $0.9 \%$ sodium chloride, how many grams of sodium chloride are in 750 mL NS?

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Problem 6566

Brain says $\frac{1}{7}$ is close to 0 . So, $\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ must be close to 0 . Do you agree? Explain.

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Problem 6567

At the north campus of a performing arts school, $20 \%$ of the students are music majors. At the south campus, $30 \%$ of the students are music majors. The campuses are merged into one east campus. If $24 \%$ of the 1000 students at the east campus are music majors, how many students did each of the north and south campuses have before the merger?
The north campus had 600 students. The south campus had $\square$ students.

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Problem 6568

An epidemiologist plans to conduct a survey to estimate the percentage of women who give birth. How many women must be surveyed in order to be $95 \%$ confident that the estimated percentage is in error by no more than one percentage point? Complete parts (a) through (c) below. a. Assume that nothing is known about the percentage to be estimated. $\mathrm{n}=\square$ (Round up to the nearest integer.) b. Assume that a prior study conducted by an organization showed that $81 \%$ of women give birth. $n=$ $\square$ (Round up to the nearest integer.) c. What is wrong with surveying randomly selected adult women? A. Randomly selecting adult women would result in an overestimate, because some women will give birth to their first child after the survey was conducted. It will be important to survey women who have completed the time during which they can give birth. B. Randomly selecting adult women would result in an overestimate, because some women will give birth to their first child after the survey was conducted. It will be important to survey women who have already given birth. C. Randomly selecting adult women would result in an underestimate, because some women will give birth to their first child after the survey was conducted. It will be important to survey women who have already given birth. D. Randomly selecting adult women would result in an underestimate, because some women will give birth to their first child after the survey was conducted. It will be important to survey women who have completed the time during which they can give birth.

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Problem 6569

2. The demand function for a certain good is given by $Q_{d}=1500-5 P$ , the supply function is: $Q_{s}=200+5 P$ . The government decided to set the price of this good at $P=140 \mathrm{zt}$ and committed itself to intervene at the market to correct for the possible effects of a market disequilibrium. What will be the costs of this intervention - if any? (3)

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Problem 6570

Which of the following sets are subspaces of $\mathbb{R}^{3}$ ? A. $\{(x, y, z) \mid-5 x-2 y+4 z=-8\}$ B. $\{(8 x, 5 x, 2 x) \mid x$ arbitrary number $\}$ C. $\{(x, y, z) \mid 9 x-3 y=0,6 x+8 z=0\}$ D. $\{(-9, y, z) \mid y, z$ arbitrary numbers $\}$ E. $\{(x, y, z) \mid x, y, z>0\}$ F. $\{(x, y, z) \mid x+y+z=0\}$

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Problem 6571

3. The San Francisco Chronicle reported that the toll on the Golden Gate Bridge was raised from $\$ 4$ to $\$ 6$ . Following the toll increase, traffic fell by 10 percent. Stephen Leonoudakis, chairman of the bridge's finance auditing committee, expected that the toll increase could cause toll revenues to increase. Is this statement consistent with economic theory? (2)

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Problem 6572

An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with $95 \%$ confidence that the sample mean is within 8 IQ points of the true mean. Assume that $\sigma=10$ and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The required sample size is $\square$ (Round up to the nearest integer.)
Would it be reasonable to sample this number of students? No. This number of $I Q$ test scores is a fairly small number. No. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly large number. Yes. This number of IQ test scores is a fairly small number.

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Problem 6573

```latex Rastavite svaki od sledećih brojeva na proste činilace, a zatim pronađite dva uzastopna prirodna broja čiji proizvod iznosi:
\begin{enumerate} \item 12 \item 20 \item 42 \item 1040400 \item 72 \item 156 \item 600 \end{enumerate} ```

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Problem 6574

Example: $15 \%$ of the cost of a computer was tax. If the tax is $\$ 180$ , what was the original cost of the computer?

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Problem 6575

A car and a motorcycle start from the same point and travel in opposite directions.
Given that the car travels at $50 \mathrm{~km} / \mathrm{h}$ , while the motorcycle travels at $40 \mathrm{~km} / \mathrm{h}$ , after how many hours will they be 315 km apart?

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Problem 6576

Solve each triangle $A B C$ that exists. $A=40.5^{\circ} \quad a=8.8 m \quad b=10.7 m$
Select the correct choice below and, if necessary, fill in the answer boxes within the choice. A. There is only one possible solution for the triangle.
The measurements for the remaining angles B and C and side C are as follows. $\mathrm{B}=\square^{\circ}$ $\mathrm{C}=$ $\square$ $c=$ $\square$ (Round to the nearest (Round to the nearest (Round to the nearest tenth tenth as needed.) tenth as needed.) as needed.) B. There are two possible solutions for the triangle. The measurements for the solution with the longer side c are as follows. $B_{1}=$ $\square$ (Round to the nearest $\mathrm{C}_{1}=$ $\square$ $c_{1}=$ $\square$ tenth as needed.) (Round to the nearest (Round to the nearest tenth The measurements for the tenth as needed.) as needed.) $B_{2}=$ $\square$ $\mathrm{C}_{2}=$ $\square$ (Round to the nearest (Round to the nearest tenth as needed.) tenth as needed.) $c_{2}=\square$ (Round to the nearest tenth as needed.) C. There are no possible solutions for this triangle.

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Problem 6577

Find the optimum strategies for player A, the row player, and player B, the column player, in the game below. Find the value of the game. (Be sure to look for a saddle point fir $\left[\begin{array}{rr} -9 & 0 \\ 1 & -4 \end{array}\right]$
Choose the correct answer below, and fill in the answer box(es) to complete your choice. (Simplify your answers. Type integers or fractions.) A. There is no saddle point, and the optimal strategy for player A is $\mathrm{P}=[$ $\square$ $\square$ ]. B. The game is strictly determined, and player A will play row $\square$ .
Choose the correct answer below, and fill in the answer box(es) to complete your choice. (Simplify your answers. Type integers or fractions.) A. There is no saddle point, and the optimal strategy for player B is $\mathrm{Q}=\left[\begin{array}{l}\square \\ \square\end{array}\right]$ . B. The game is strictly determined, and player B will play column $\square$ 2.
The value of the game is $\mathrm{G}=$ $\square$ $\square$ . (Simplify your answer. Type an integer or a fraction.)

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Problem 6578

Julia sets up a passcode on her smart phone, which allows only eight-digit codes. A spy sneaks a look at Julia's smart phone and sees her fingerprints on the screen over eight numbers. What is the probability the spy is able to unlock the smart phone on his first try? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.

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Problem 6579

Focus 1 Explain why vertically opposite angles are equal.

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Problem 6580

4. Find two arithmetic means between the terms 18 and 9.
F 15,12 G 16, 14 H45, 13-27.5+15 J 16, 11 $=-12.5$

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Problem 6581

A college entrance exam company determined that a score of 20 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 150 students who completed this core set of courses results in a mean math score of 20.3 on the college entrance exam with a standard deviation of 3.1. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 20 on the mathematics portion of the exam? Complete parts a) through d) below.
Click the icon to view the table of critical $t$ -values. (a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are $\mathrm{H}_{0}$ : (Type integers or decimals. Do not round.) $\square$ 20 versus $\mathrm{H}_{1}$ : $\square$ 20. (b) Verify that the requirements to perform the test using the $t$ -distribution are satisfied. Select all that apply. A. The sample data come from a population that is approximately normal. B. The sample size is larger than 30 . C. The students were randomly sampled. D. The students' test scores were independent of one another. E. A boxplot of the sample data shows no outliers. F. None of the requirements are satisfied.

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Problem 6582

If the adjoint of amatrix is $\left(\begin{array}{cc}2 & -3 \\ 4 & 5\end{array}\right)$ find the matrix.

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Problem 6583

Use the Law of Cosines to find the remaining side(s) and angle(s) if possible. (If not possible enter DNE in each answer box). Round final answers to the nearest hundredth. $\begin{array}{l} a=153, \beta=8.4^{\circ}, c=150 \\ \alpha=\square \text { degrees } \\ \gamma=\square \text { degrees } \\ b=\square \end{array}$

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Problem 6584

In the following exercise, two sides and an angle are given. First determine whether the information results in no triangle, one triangle, or two triangles. Solve the resulting triangle. $\mathrm{a}=9.2, \mathrm{~b}=7.4 \text {, and } \mathrm{A}=38^{\circ}$ B. There are two triangles. The angle corresponding to the triangle containing $B_{1}$ is $C_{1} \approx$ $\square$ ${ }^{\circ}$ . The angle corresponding to the triangle containing $\mathrm{B}_{2}$ is $\mathrm{C}_{2} \approx$ $\square$ $\because$ (Round to one decimal place as needed.) C. There is no solution.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. There is only one triangle where $c \approx$ $\square$ - (Round to one decimal place as needed.) B. There are two triangles. The corresponding length of side c for each triangle is $\mathrm{c}_{1} \approx$ $\square$ and $\mathrm{c}_{2} \approx$ $\square$ . (Round to one decimal place as needed) C. There is no solution.

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Problem 6585

Suppose that a particle moves along a straight line with a velocity $v(t)=4-2 t$ , where $t$ is in the interval $[0,8]$ . Find the displacement of the particle up to $t=8$ and the total distance traveled up to $t=8$ .
Total displacement $=$ $\square$ Total distance $=$ $\square$

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Problem 6586

A triangular field has sides of lengths 24, 47, 59 km . Enter your answer as a number; answer should be accurate to 2 decimal places.
Find the largest angle in degrees: $\square$

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Problem 6587

Q5) A rock is projected from the edge of the top of a building with an initial velocity of $12.2 \mathrm{~m} / \mathrm{s}$ at an angle of 53? above the horizontal. The rock strikes the ground a horizontal distance of 25 m from the base of the building. Assume that the ground is level and that the side of the building is vertical. How tall is the building?
Solved earlier. a. $\quad 25.3 \mathrm{~m}$ b. $\quad 29.6 \mathrm{~m}$ C. $\quad 27.4 \mathrm{~m}$ d. 23.6 m e. $\quad 18.9 \mathrm{~m}$
ANS: d Solution:

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Problem 6588

8. Write the explicit and recursive formula for the sequence $-4,-1,2, \ldots$

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Problem 6589

a) On commence par réaliser une $\alpha$ gamme $\%$ avec des quantités croissantes (connues) de protéines. Les quantites de reférence pour la gamme sont placées dans des puits d'une plaque, chacune d'entre elles étant diluce dans $2 \mu \mathrm{~L}$ de solution contenant les agents chromophores. La densité optique est ensuite mesurée pour chaque puits et les résultats obtenus sont les suivants : \begin{tabular}{|c|c|c|c|c|c|c|c|c|} \hline Masse $(\mu)$ dans $2 \mu 1$ & 0 & 2 & 4 & 6 & 8 & 10 & 15 & 20 \\ \hline Densité optique (DO) & 0,0835 & 0,109 & 0.32 & 0,4205 & 0,534 & 0,648 & 0.875 & 1,1135 \\ \hline \end{tabular}
Placer les points correspondant à la gamme sur un graphe du mếme type que celui cidessous : b) Tracer une droite qui vous semble la plus proche possible des points de la gamme, puis déterminer une relation de la forme $\mathrm{DO}=a M+b$ pour cette droite (expliquer soigneusement votre raisonnement et les calculs éventuels qui vous permettent d'estimer les valeurs de $a$ et $b$ ). c) D'après cette gamme, à quelle densité optique doit-on s'atendre pour une masse de $12 \mu \mathrm{~g}$ de proténes? (Expliquer votre caleul) d) On analyse ensuite des echantillons de $2 \mu \mathrm{~L}$ où la quantíé de protéines est inconnue. Les densités optiques mesurées sont indiquées dans le tableau ci-dessous. Compléter le tableau. (Expliquer en-dessous votre démarche et les calculs éventuellement réalisés). \begin{tabular}{|l||c|c|c|} \hline Échantillon & $\mathbf{1}$ & $\mathbf{2}$ & $\mathbf{3}$ \\ \hline \hline Densite optique (DO) & 0.473 & 1,353 & 0.561 \\ \hline Masse $\mathrm{M} /(\mu \mathrm{Ig})$ & & & \\ \hline Concentration $\left(\mathrm{g} \mathrm{L}^{-1}\right)$ & & & \\ \hline \end{tabular}
HAVI20X2 - Année 2024-2025 e) On verse l'échantillon $\mathrm{n}^{\circ} 3$ dans $8 \mathrm{~mm}^{3}$ de solution sans protéines, quelle concentration de protéines obtient-on alors? (Exprimer cette concentration en g. $\mathrm{L}^{-1}$ )

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Problem 6590

Consider the following matrix:
Which of the following is most true? This is not a valid adjacency matrix - that is, there is no graph or digraph that has this for its adjacency matrix This could be the adjacency matrix for either a graph or a digraph This must be the adjacency matrix for a graph (it can't be a digraph) This must be the adjacency matrix for a digraph (it can't be a regular graph)

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Problem 6591

2. In this problem we outline a proof of Theorem 7.4 .3 in the case $n=2$ . Let $\mathbf{x}^{(1)}$ and $\mathbf{x}^{(2)}$ be solutions of Eq. (3) for $\alpha<t<\beta$ , and let $W$ be the $W$ ronskian of $x^{(1)}$ and $x^{(2)}$ . (a) Show that $\frac{d W}{d t}=\left|\begin{array}{cc} \frac{d x_{1}^{(1)}}{d t} & \frac{d x_{1}^{(2)}}{d t} \\ x_{2}^{(1)} & x_{2}^{(2)} \end{array}\right|+\left|\begin{array}{cc} x_{1}^{(1)} & x_{1}^{(2)} \\ \frac{d x_{2}^{(1)}}{d t} & \frac{d x_{2}^{(2)}}{d t} \end{array}\right|$ (b) Using Eq. (3), show that $\frac{d W}{d t}=\left(p_{11}+p_{22}\right) W$ (c) Find $W(t)$ by solving the differential equation obtained in part (b). Use this expression to obtain the conclusion stated in Theorem 7.4.3.

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Problem 6592

What is $(f-g)(x)$ ? $\begin{array}{l} f(x)=-x \\ g(x)=4 x+1 \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

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Problem 6593

Aaron thinks the price of watermelons is decreasing at the local grocery store. He decides to collect data dern watermelon prices every week. After colecti data, he runs a linear regression and calculates the regression equation $w(t)=5.29-0.23 t$ , where $w(t)$ is the cost of a watermelon in dollars and $t$ represents the number of weeks.
What is the slope of the regression equation? What does it represent in the context of the situation? The slope is 5.29 . It represents how much watermelons cost when Aaron started collecting data The slope is 5.29 . It represents the increase in the cost or watermelons per week. The slope is -0.23 . It represents the decrease in the cost or watermelons per week. The slope is -0.23 . It represents the change in the watermelons weight each week.

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Problem 6594

The number of cases of African flu has reached epidemic levels. The disease is known to have two strains with similar symptoms. Dr. Goedeker has two medicines available; the first is $76 \%$ effective against the first strain and $48 \%$ effective against the second. The second medicine is completely effective against the second strain but ineffective against the first. a. Determine the payoff matrix giving the effectiveness for the two medicines b. Decide which medicine she should use and the results she can expect. a. Which of the following is the correct payoff matrix? A. Medicine $\quad \begin{array}{c}1 \\ 2 \\ 2\end{array}\left[\begin{array}{cc}1 & 2 \\ 0.76 & 0.48 \\ 1 & 0\end{array}\right]$ B. Medicine $\quad$ \begin{tabular}{cc} & \multicolumn{1}{c}{ Strain } \\ 1 & 2 \\ 0.76 & 1 \\ 0 & 0.48 \end{tabular} $]$ C. Medicine $\begin{array}{c} \\ 1 \\ 2\end{array}\left[\begin{array}{cc}1 & 2 \\ 0.48 & 0.76 \\ 0 & 1\end{array}\right]$ D. Medicine $1 \begin{array}{cc}1 \\ 2 & \left.\begin{array}{cc}1 & 2 \\ 0.76 & 0.48 \\ 0 & 1\end{array}\right]\end{array}$ $\square$ b. The doctor should use the first medicine with probability and the second medicine with probability $\square$ . (Type exact answers in simplified form.) The effectiveness of prescribing the medicines in this way is $\square$ \% (Round to two decimal places as needed.)

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Problem 6595

01:45:22
The loudness, $L$ , measured in decibels (Db), of a sound intensity, $I$ , measured in watts per square meter, is defined as $L=10 \log \frac{l}{i_{0}}$ , where $I_{0}=10^{-12}$ and is the least intense sound a human ear can hear. What is the approximate loudness of a rock concert with a sound intensity of $10^{-1}$ ? 2 Db 22 Db 60 Db 110 Db

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Problem 6596

In a certain state, $35.7 \%$ of all community college students belong to ethnic minorities. Find the probabilities of the following results in a random sample of 12 of the community college students. a. Exactly 3 belong to an ethnic minority. b. Three or fewer belong to an ethnic minonity. c. Exactly 7 do not belong to an ethnic minority. d. Eight or more do not belong to an ethnic minority.

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Problem 6597

Match the real-world situation with the inequality.
My math grade is above a 60 $\qquad$
Todd's family owns (at least 60 $\qquad$ acres of land.
There were fewer than 60 at $\qquad$ the concert
At Most, Greg is allowed to watch 60 minutes of TV on the $\qquad$ weekend.

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Problem 6598

2 Numeric 25 points
Mrs. Smith showed her students part of the prime factorization of 84. One factor is missing. What number complete the prime factorization? $2^{2} \cdot 3 \cdot ?$
Type your answer...

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Problem 6599

Cory has a gym membership that can be represented by the inequality $\frac{x}{12} \leq 7$ .
Cory has a choose your answer... $\square$ membership that costs $x$ dollars. He pays choose your answer... $\square$ each month.

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Problem 6600

What is $(f+g)(x)$ ? $\begin{array}{l} f(x)=-2 x^{2}+6 x-4 \\ g(x)=-x^{2}+8 x \end{array}$
Write your answer as a polynomial or a rational function in simplest form.

See Solution

1 ...63 64 65 66 67 68 69 ...122

Word Problem

Problem 6501

\begin{align*} \text{21. (i) Find the number which when increased by } 30\% \text{ becomes 39.} \\ \text{(ii) Find the number which when decreased by } 8\% \\ \end{align*}

Problem 6502

```latex Diketahui hasil belajar statistik mahasiswa 50 orang, nilainya kamu tentukan sendiri. Ditanya:a. Rata-rata hitung (mean) dengan metode Codingb. Rata-rata ukur geometric. Kuartil ketiga (Q3Q_{3}Q3​)d. Desil kelima (D5D_{5}D5​)e. Persentil ke-30 (P30P_{30}P30​)

Problem 6503

Problem 6504

Problem 6505

Problem 6506

Problem 6507

Problem 6508

Find the vertical asymptotes of the function h(θ)=tan⁡θ+2h(\theta)=\tan \theta+2h(θ)=tanθ+2 in the interval 0≤θ≤2π0 \leq \theta \leq 2 \pi0≤θ≤2π.Number of asymptotes: Choose one

Problem 6509

Problem 6510

Problem 6511

La dyschromatopsie, trouble de la vision des couleurs le plus courant (également appelé daltonisme) affecte, en France 8\% des hommes et 0.4%0.4 \%0.4% des femmes. A l'aide d'une approximation pertinente, calculer la probabilité que, sur 500 femmes, une au moins présente ce trouble.

Problem 6512

Problem 6513

Problem 6514

A rope is 73.5 m long. It is cut into 5 pieces of equal length. How long is each piece?Give your answer in metres (m).

Problem 6515

In September, a stream had a depth of 112 mm . The depth of the stream in October had decreased by 13%13 \%13% compared to September.What was the depth of the stream in October? Give your answer in millimetres (mm).

Problem 6516

Problem 6517

Amy paid $64.89\$ 64.89$64.89 for a pair of running shoes during a 40%40 \%40%-off sale. What was the regular price?The regular price was \ \square$ . (Round to the nearest cent, if necessary.)

Problem 6518

Problem 6519

Aufgabe 33 Der Punkt P′(13∣0)P^{\prime}(13 \mid 0)P′(13∣0) ist entstanden durch eine Spiegelung des Punktes P(5∣12)P(5 \mid 12)P(5∣12) an der Ursprungsgeraden ggg.Bestimmen Sie die Steigung von ggg.

Problem 6520

Every mint plant for sale in a garden centre is the same price.It costs £11.90£ 11.90£11.90 to buy 7 mint plants. How much would it cost to buy 28 mint plants? Give your answer in pounds (£)(£)(£).

Problem 6521

What kind of transformation converts the graph of f(x)=−7x−10f(x)=-7 x-10f(x)=−7x−10 into the graph of g(x)=g(x)=g(x)= x−10x-10x−10 ? horizontal stretch horizontal shrink vertical shrink vertical stretch

Problem 6522

Bookwork code. 1E Calculator allowed7 friends each bought one ticket to go to the theatre. Each ticket cost the same amount and the total cost was £112£ 112£112.How much did each ticket cost? Give your answer in pounds ( £££ ). Watch video

Problem 6523

Bookwork code: 1G Calculator allowedArchie is going on holiday and needs to exchange some pounds (£)(£)(£) for euros (€)(€)(€). How many euros can he get for £22£ 22£22 ? Give your answer to 2 decimal places.Exchange rate £1 === €1.12

Problem 6524

What is 3100\frac{3}{100}1003​ written as a decimal?

Problem 6525

Problem 6526

Lamonte is going to invest in an account paying an interest rate of 4\% compounded continuously. How much would Lamonte need to invest, to the nearest cent, for the value of the account to reach \$12,300 in 8 years?

Problem 6527

Problem 6528

What kind of transformation converts the graph of f(x)=6x−1f(x)=6 x-1f(x)=6x−1 into the graph of g(x)=x−g(x)=x-g(x)=x− 1 ? horizontal shrink vertical shrink horizontal stretch vertical stretch

Problem 6529

12 Given that xx+y=7x x+y=7xx+y=7 and 3x3 x3x −2y=3-2 y=3−2y=3 by how much is 7x7 x7x greater th an 10 ? a> 1, b, 3 (c) 7 (d) 17

Problem 6530

8-Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at 60 km/h60 \mathrm{~km} / \mathrm{h}60 km/h and the other is moving at 40 km/hmph40 \mathrm{~km} / \mathrm{h} \mathrm{mph}40 km/hmph. In how many hours will they meet? A. 2.5 B. 2.0

Problem 6531

Problem 6532

Problem 6533

Problem 6534

Linda, Pablo, and Ahmad have a total of $100\$ 100$100 in their wallets. Ahmad has 3 times what Linda has. Linda has $10\$ 10$10 less than Pablo. How much do they have in their wallets?

Problem 6535

The ratio of red to blue marbles in a bowl is 7:87: 87:8. There are 30 marbles total. How many red and blue marbles are there? A. 7 red and 8 blue B. 8 red and 7 blue C. 10 red and 12 blue D. 14 red and 16 blue

Problem 6536

3 3.1Gaston bought two types of candies: red candies that cost $0.60\$ 0.60$0.60 each and green candies that each cost zzz times as much as a red candy. If the cost of 3 red candies and 1 green candy was $3\$ 3$3, what is the value of zzz ?

Problem 6537

Problem 6538

Problem 6539

Question 2 A painter uses the following mixtures. How much more green paint does she have than purple paint?

Problem 6540

Problem 6541

EXAMPLE 7-5 Calculate the solubility of Ba(IO3)2\mathrm{Ba}\left(\mathrm{IO}_{3}\right)_{2}Ba(IO3​)2​ in a solution prepared by mixing 200 mL of 0.0100MBa(NO3)20.0100 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}0.0100MBa(NO3​)2​ with 100 mL of 0.100 M NaIO .

Problem 6542

Problem 6543

Problem 6544

Problem 6545

Problem 6546

Problem 6547

Problem 6548

Problem 6549

Problem 6550

Kyle's school is 2.34 mi from his house. One day, he rode his bike 2.5 times that distance. Which choice is the closest estimate of the number of miles Kyle rode his bike? 6 4 9 3

Problem 6551

Problem 6552

Problem 6553

Problem 6554

There are 87.4 calories in one serving of cherries. How many calories are in 3.85 servings?Enter your answer in the box. □\square□ calories

Problem 6555

\begin{align} \text{21. (i) Find the number which when increased by } 30\% \text{ becomes 39.} \\ \text{(ii) Find the number which when decreased by } 8\% \\ \end{align}

```latex Diketahui hasil belajar statistik mahasiswa 50 orang, nilainya kamu tentukan sendiri. Ditanya:
a. Rata-rata hitung (mean) dengan metode Coding
b. Rata-rata ukur geometri
c. Kuartil ketiga ( $Q_{3}$ )
d. Desil kelima ( $D_{5}$ )
e. Persentil ke-30 ( $P_{30}$ )

Find the vertical asymptotes of the function $h(\theta)=\tan \theta+2$ in the interval $0 \leq \theta \leq 2 \pi$ .
Number of asymptotes: Choose one

La dyschromatopsie, trouble de la vision des couleurs le plus courant (également appelé daltonisme) affecte, en France 8\% des hommes et $0.4 \%$ des femmes. A l'aide d'une approximation pertinente, calculer la probabilité que, sur 500 femmes, une au moins présente ce trouble.

A rope is 73.5 m long. It is cut into 5 pieces of equal length. How long is each piece?
Give your answer in metres (m).

In September, a stream had a depth of 112 mm . The depth of the stream in October had decreased by $13 \%$ compared to September.
What was the depth of the stream in October? Give your answer in millimetres (mm).

Amy paid $\$ 64.89$ for a pair of running shoes during a $40 \%$ -off sale. What was the regular price?
The regular price was \\square$ . (Round to the nearest cent, if necessary.)

Aufgabe 33 Der Punkt $P^{\prime}(13 \mid 0)$ ist entstanden durch eine Spiegelung des Punktes $P(5 \mid 12)$ an der Ursprungsgeraden $g$ .
Bestimmen Sie die Steigung von $g$ .

Every mint plant for sale in a garden centre is the same price.
It costs $£ 11.90$ to buy 7 mint plants. How much would it cost to buy 28 mint plants? Give your answer in pounds $(£)$ .

What kind of transformation converts the graph of $f(x)=-7 x-10$ into the graph of $g(x)=$ $x-10$ ? horizontal stretch horizontal shrink vertical shrink vertical stretch

Bookwork code. 1E Calculator allowed
7 friends each bought one ticket to go to the theatre. Each ticket cost the same amount and the total cost was $£ 112$ .
How much did each ticket cost? Give your answer in pounds ( $£$ ). Watch video

Bookwork code: 1G Calculator allowed
Archie is going on holiday and needs to exchange some pounds $(£)$ for euros $(€)$ . How many euros can he get for $£ 22$ ? Give your answer to 2 decimal places.
Exchange rate £1 $=$ €1.12

What is $\frac{3}{100}$ written as a decimal?

What kind of transformation converts the graph of $f(x)=6 x-1$ into the graph of $g(x)=x-$ 1 ? horizontal shrink vertical shrink horizontal stretch vertical stretch

12 Given that $x x+y=7$ and $3 x$ $-2 y=3$ by how much is $7 x$ greater th an 10 ? a> 1, b, 3 (c) 7 (d) 17

8-Two automobiles are 150 kilometers apart and traveling toward each other. One automobile is moving at $60 \mathrm{~km} / \mathrm{h}$ and the other is moving at $40 \mathrm{~km} / \mathrm{h} \mathrm{mph}$ . In how many hours will they meet? A. 2.5 B. 2.0

Linda, Pablo, and Ahmad have a total of $\$ 100$ in their wallets. Ahmad has 3 times what Linda has. Linda has $\$ 10$ less than Pablo. How much do they have in their wallets?

The ratio of red to blue marbles in a bowl is $7: 8$ . There are 30 marbles total. How many red and blue marbles are there? A. 7 red and 8 blue B. 8 red and 7 blue C. 10 red and 12 blue D. 14 red and 16 blue

3 3.1
Gaston bought two types of candies: red candies that cost $\$ 0.60$ each and green candies that each cost $z$ times as much as a red candy. If the cost of 3 red candies and 1 green candy was $\$ 3$ , what is the value of $z$ ?

EXAMPLE 7-5 Calculate the solubility of $\mathrm{Ba}\left(\mathrm{IO}_{3}\right)_{2}$ in a solution prepared by mixing 200 mL of $0.0100 \mathrm{M} \mathrm{Ba}\left(\mathrm{NO}_{3}\right)_{2}$ with 100 mL of 0.100 M NaIO .

There are 87.4 calories in one serving of cherries. How many calories are in 3.85 servings?
Enter your answer in the box. $\square$ calories

Answer the following questions. (a) What percent of 21.5 is 55.04 ? (b) What number is $15 \%$ of 45.4 ?

Proplems :-
Wetch the graph of the following prabolas and then find the vertex wxis of symmetry, $x$ and $y$ intercepts, $y=3 x^{2}+2$ the zero's for each parabola.

QUESTION 15 - 1 POINT If the median of a data set is 16 and the mean is 10 , which of the following is most likely?
Select the correct answer below: The data are skewed to the left. The data are skewed to the right. The data are symmetrical.

If Normal Saline (NS) has $0.9 \%$ sodium chloride, how many grams of sodium chloride are in 750 mL NS?

Brain says $\frac{1}{7}$ is close to 0 . So, $\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ must be close to 0 . Do you agree? Explain.

```latex Rastavite svaki od sledećih brojeva na proste činilace, a zatim pronađite dva uzastopna prirodna broja čiji proizvod iznosi:
\begin{enumerate} \item 12 \item 20 \item 42 \item 1040400 \item 72 \item 156 \item 600 \end{enumerate} ```

Example: $15 \%$ of the cost of a computer was tax. If the tax is $\$ 180$ , what was the original cost of the computer?