At a party with 130 students, 35 speak French, 50 speak English, 28 speak only English, and 13 speak only French. Find the probability a randomly selected student speaks both languages.
In a weight-lifting contest, the winner bench-pressed 400 lbs. Other competitors lifted at least 23 lbs less. a. Write the inequality for their weights: x≤377.
b. Can someone lift 379 lbs? No, 379 lbs is not a solution to the inequality. Explain.
Expressions with Irrational Numbers: Tutorial
Part C
Find the square roots of the two factors of 36 and multiply them.
□ Space used (includes formatting): 0/30000
Submit Part D Is this answer the same as the answer you would get from directly finding the square root of 36 ? What does this finding show?
□
ASK YOUR TEACHER A contestant in a winter games event pushes a 41.0−kg block of ice across a frozen lake with a force of 25 N at 28.0∘ below the horizontal as shown in Figure (a) below, and it moves with an acceleration of 0.540m/s2 to the right.
(a)
(b)
(a) What is the normal force exerted by the lake surface on the block of ice?
□ N surface on the block of ite?
□
Tutorial
El Sr. Reyes preparó 4 bandejas de pastelitos para su clase. Cada bandeja tiene 12 pastelitos. Si en la clase del Sr. Reyes hay 24 estudiantes, ¿cuántos pastelitos le tocarán a cada estudiante?
? Question
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Match the expressions with their simplified forms. Tiles
21532545
4 Pairs
2⋅880205□□20
6of15Next(xMauricehad23.72 in his checking account, then a debit of 48.39andanotherdebitof82.16 were processed for automatic payments. The bank also assessed a 12foreachofthesetwoautomaticpaymentssinceMauricehadinsufficientfundsinhischeckingaccount.Next,Mauricedeposited238 into his checking account.
What is the current balance for Maurice's checking account?
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Expressions with Irrational Numbers: Tutorial
? Question
Drag each expression to the correct location.
Estimate the value of each irrational expression to the nearest integer.
−34⋅3+29⋅3−21−205222+32−3103π4⋅32−22⋅36−3103π
SUbmit Test
Reader Drag each expression to the correct location on the number line. Not all expressions will be used.
Evaluate the expressions. Then, place the expressions on the corresponding locations on the number line.
75+π55π+257−6π19−5.55+23
Darin's great aunt lives in a retirement home. Darin visits her to help plant green beans in a garden. So far they have planted 6 rows with 72 green bean stalks. They plant the same number of green bean stalks in each row. What is the constant of proportionality in this relationship?
6
12
72
78
The premium for 3-5 day shipping is 20%. What is the cost to ship 2,000 lbs of goods from Chicago to Atlanta ( 700 miles) using 3-5 day shipping?
\begin{tabular}{|c|c|c|c|c|c|}
\hline Distance (miles) & 0−200 & 201−400 & 401−600 & 601−800 & 801−1000 \\
\hline Price per 100 lbs & $100 & $120 & $200 & $240 & $400 \\
\hline
\end{tabular}
$[?]
Question
Show Examples Answer the questions below about Line 1 and Line 2 shown below.
(6+7)+36+(7+3)
Line 1
Line 2 Answer Attempt 1 out of 2 The expression was rewritten using the
(6+7)+3 equals □ +3 which equals □ 7.
6+(7+3) equals 6+ which equals □ .
2. A 30-1b cocker spaniel is to get a ketamine and diazepam induction IV, and the dose is 0.025mL/lb for each. How much ketamine and diazepam will you draw up?
15. Construct Arguments A baseball team gets 3 outs for each inning it comes up to bat. So far this season, Silvio's team has batted in 45 innings, n, and has made 135 outs, t. What is the dependent variable? Explain.
4. A 50−lb dog requires a Carprofen dose of 2.2mg/kg BID for 7 days. The drug is available in 25mg,75mg, and 100 mg chewable tablets. What size tablet should be used and how many tablets must be dispensed?
as default Solve the problem. Hint: remember to convert feet to yards (3 feet equals 1 yard)
3) The Smith family plans to carpet their new family room, which is 30 feet long and 21 feet wide. The carpeting costs $13 per square yard. How many square yards will the family need and what will be the total cost for the carpeting?
A) 70ft2;$2730
B) 70yd2;$910
C) 17yd2;$221
D) 630yd2;$8190
Question 4
The weather on any given day in a particular city can be sunny, cloudy, or rainy. It has been observed to be predictable largely on the basis of the weather on the previous day. Specifically: - if it is sunny on one day, it will be sunny the next day 31 of the time, and be cloudy the next day 32 of the time
- if it is cloudy on one day, it will be sunny the next day 32 of the time, and be cloudy the next day 61 of the time
- if it is rainy on one day, it will be sunny the next day 61 of the time, and be cloudy the next day 31 of the time Using 'sunny', 'cloudy', and 'rainy' (in that order) as the states in a system, set up the transition matrix for a Markov chain to describe this system. Use your matrix to determine the probability that it will rain on Thursday if it is sunny on Sunday. P=⎣⎡000000000⎦⎤ Probability of rain on Thursday =0
2.5 Use the equality test for fractions to determine if the fractions are equal.
15) 64?22
A) Yes
B) No
No answer text provided.
No answer text provided.
assessment.peardeck.com
Tube
Math 2 Final Review Fall 2024
Fall 2024
Pear Assessment
Pakas en las Rakas - Junior H
BOOKMARK
CHECK ANSWER 53 What is the absolute value function represented by the graph below? Give your answer in vertex form (y=a∣x−h∣+k)
Which of the following are general properties of bases in aqueous solution?
conduct electricity and turn litmus blue
turn litmus red and accept a proton
feel slippery and react with Au to produce H2(g)
feel slippery and increase [H3O+]
Ms. Driva Reck drove from her home to a service station at 48km/h. She returned home by bicycle at 16km/h. The entire trip took 4 hours. How far was the service station from Ms. Reck's home?
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the maximum height reached by the rocket, to the nearest tenth of a foot.
y=−x2+6x
CRITICAL THINKING Tell whether the statement is always, sometimes, or never true.
The absolute value of a negative number is positive. The statement is □ always true. Explain.
Jasmine paid $10 for 85 yard of fabric to make a pillow. She wants to know the price of 4 yards of the same fabric so that she can make a quilt. What is the price per yard of the fabric?
ement of the progress bor moy be uneven because questions can be worth more or less (including zero) depending
A 25 -foot-long footbridge has two diagonal supports that meet in the center of the bridge.
Each support makes a 65∘ angle with a short vertical support. What is the length x of a diagonal support, to the nearest tenth of a foot?
x≈ feet The solution is
Mr. Harris owns a bubble machine that he uses for different school events. The bubble solution contains 43 cup of corn starch for every 2 cups of water. What is the rate in cups of corn starch per cup of water? The rate is
of water.
\begin{tabular}{|l|}
\hline? \\
\hline83 \\
\hline32 \\
\hline 121 \\
\hline 232 \\
\hline
\end{tabular}
The tape diagram models the lengths of two snowboarding trails. The combined length of the trails is 2000 meters. How long is each trail?
Beginner Trail □
Expert Trail □ The beginner trail is □ meters. The expert trail is □ meters.
Ready
Understand Percent Concepts - Quiz - Level F Keesha keeps track of the fiber she eats to make sure she gets enough each day. Her breakfast contains 8 grams of fiber and her recommended daily amount is 25 grams per day. Keesha wants to know what percent of her daily amount of fiber she has at breakfast. Complete the table to show an equivalent ratio where the total amount is 100 grams.
\begin{tabular}{|c|c|c|}
\hline Amount at Breakfast (g) & 8 & \\
\hline Total Amount (g) & 25 & 100 \\
\hline
\end{tabular}
The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administration building. The engineer will collect data on different variables related to the intersection each day for ten days. Of the following variables, which will be measured using continuous data? A The number of cars passing through the intersection in one hour B The number of pedestrians crossing the intersection in one hour
(C) The number of bicyclists crossing the intersection in one hour
(D) The number of food trucks that park within four blocks of the intersection
(E) The number of minutes for a car to get from the intersection to the administration building
The graph shows g(x), which is a translation of f(x)=x2. Write the function rule for g(x). Write your answer in the form a(x−h)2+k, where a,h, and k are integers or simplified fractions.
g(x)=
Consider quadrilateral PQRS below. Note that PQRS has vertices P(−1,3),Q(4,1),R(1,−7), and S(−4,−5). Complete the following to determine if PQRS is a parallelogram.
(a) Find the length of QR and the length of PS. Give exact answers (not decimal approximations). Length of QR : □ Length of PS : □
(b) Find the length of RS and the length of PQ. Give exact answers (not decimal approximations) y Length of RS : □ Length of PQ : □
(c) From parts (a) and (b), what can we conclude?
The quadrilateral is a parallelogram because it has one pair of opposite sides that are congruent, even though the other two sides are not congruent.
The quadrilateral is not a parallelogram because it has a pair of opposite sides that are not congruent.
The quadrilateral is a parallelogram because it has two pairs of opposite sides that are congruent.
It cannot be determined if the quadrilateral is a parallelogram.
TEK 4.3F
Ayala's class, 62 of the students prefer kiwis and 63 of the students prefer angos. Ayala finds that 65 of the students in her class prefer kiwis and mangos. nich statement best describes 65 as the sum? It is reasonable because 21+21=1.
It is reasonable because 0+21=21
It is not reasonable because 0+21=21
It is not reasonable because 21+21=1
10. Une grande roue de 20 m de rayon comporte 10 nacelles équidistantes sur sa circonférence. Suppose que les nacelles sont numérotées dans l'ordre. Quelle distance y a-t-il entre la première et la cinquième, en ligne droite?
Results of Dart Competition
\begin{tabular}{|l|c|c|c|c|c|}
\hline Number of bull's eyes & 6 & 7 & 8 & 9 & 10 \\
\hline Number of players & 2 & 3 & 4 & 0 & 1 \\
\hline
\end{tabular} Source: Data from dart competition
5: Draw a line plot using the data in the table.
Online Workbook AC Chapter 18 Practice 2
れ 5.2.3 Qulz: Polynomial Functions Questlon 3 of 10
Which of the following is most likely to be a relative maximum for this graph?
A. (3,0)
B. (2,−4)
C. (−1,8)
D. (−2,0)
F24
7.7 Probability
Alyssa Villa
12/16/249:54 PM
Question 5, 7.7.39
HW Score: 28.57%,4 of 14 points
Points: 0 of 1
Save The table gives the results of a survey of freshmen from the class of 2006 at a number of colleges and universities.
Number of Colleges Applied To
Percent (as a decimal)
Using the percents as probabilities, find the probability of the event for a randomly selected student: the student applied to more than 3 colleges. The probability that a randomly selected student applied to more than 3 colleges is
Given P(x)=3x5−8x4+74x3−190x2−25x+250, and that 5i is a zero, write P in factored form (as a product of linear factors). Be sure to write the full equation, including P(x)=.
P(x)=(x+5i)(x−5i)(□)(□)
syntax error.
Answer the questions. Use the data in the line plot. 6. What is the mode of the set of data? 6, 7, 8 first 7. What is the median of the set of data? 8. What is the mean of the set of data? How is the data spread around the mean? Complete. Use the data in the table.
The table shows the distances Wayne jogged on 5 days.
Distances Wayne Jogged on Five Days
\begin{tabular}{|l|c|}
\hline Day & Distance jogged (km) \\
\hline Monday & 3 \\
\hline Tuesday & 2 \\
\hline Wednesday & 4 \\
\hline Thursday & 5 \\
\hline Friday & 6 \\
\hline
\end{tabular}
Source: Wayne
An OB/GYN physician in private practice knows her malpractice insurance will be $75,000 and is due in one year. How much should she deposit into an account each month if that account has an annual rate of 4.0% compounded monthly and she wishes to pay it in full knowing that the insurance company drops the price by 2% if paid in full?
Round your answer to two decimal places. Do not include the $ sign in your answer.
Hint: Lower the price by 2% as she is planning on paying in full.
Your Answer:
5) Summary 1. AVERAGE MONTHLY INCOME 2. SAVINGS 3. TOTAL MONTHLY EXPENSES 4. TOTAL MONTHLY CONTRIBUTIONS TOTAL AMOUNTS 2+3+4
5) AMOUNT AVAILABE/ surplus or deficit
2)
3)
4)
1)
7 ar. 24 \begin{tabular}{l}
149.181.233.14 \\
\hline 24
\end{tabular}
−22956.53
5)
b) Is Daria's budget in a deficit position?
A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A group of 80 people with a history of skin irritation volunteered for the study. Of the 80 people, 40 were randomly assigned the medicated lotion, and the remaining 40 were given a nonmedicated lotion. At the end of one month, the skin irritation had cleared for 36 people ( 90 percent) using the medicated lotion and 16 people ( 40 percent) using the nonmedicated lotion. Analysis of the results showed the difference was statistically significant. What can be concluded from the experiment?
A) Treating the skin irritation with the medicated lotion will cause the irritation to clear.
(B) There was no difference in the effectiveness of the two lotions because 28 people still had the skin irritation.
(C) Any conclusion is problematic because the participants were volunteers and were not randomly selected from the population. D There is enough evidence to conclude that the medicated lotion is more effective than the nonmedicated lotion in treating the skin irritation.
NOM :
GROUPE: Les résultats 1. Inscrivez les résultats obtenus dans le tableau 1. puis calculez la variation de la température de l'eau. TABLEAU 1
Resultats du laboratoire L'analyse des résultats 2. En comparant les variations de température de l'eau en présence des trois métaux, que déduisez-vous?
On nemargue que les varictions de température sonk similoines et poche metrick. 3. Pour chacun des trois métaux, déterminez la quantité de chaleur absorbée par l'eau.
C=4,19 de leque Q=mc.4t. Aluminivm:
G=(18,28g)(4,19)(3∘C)=230kJ Cuture:
Q=(57,059)(419)(4∘C)=956kJ Laiton:
Laiton: Q(53,78g)(4,19)(3∘C)=676kJ Réponse: Aluminium: 230 kJ Cuive: 956 kJ Lauton: 676 kJ
QUANTUM Chimie • Chapitre 3 • Section 3.3
1 Given that the radius of the Ferris wheel planned for Alphapark is 70 m and that θ represents the angle measured anticlockwise from the x-axis, find all thelangles for which the pod P is:
a a distance of 30 m from the x-axis
b a distance of 20 m to the right of the y-axis.
2 a Solve the following equations.
i sinθ1=cosθ1 for 0∘≤θ1≤360∘
ii sinθ2=0.8 for 0∘≤θ2≤360∘
iii cosθ3=−0.1 for 0∘≤θ3≤360∘
b Hence find the coordinates of the pod on the Alphapark Ferris wheel for each value of θ1,θ2 and θ3 found in part a. 3 Jakub models the average monthly temperature T degrees Celsius in Warsaw with the function T=−11cos(30t)+7.5 on the domain 0≤t≤11. t is time measured in months, with T(0) representing the average temperature in January.
a Predict the average temperature in May.
b Predict when the average temperature would be zero.
4 Zuzanna models the depth D metres of sea water in a harbour h hours after midnight with the function D=1.8sin(30h)+12.3.
a Predict the depth of water in the harbour at 5.30 am .
b Predict when the depth of water in the harbour will be 10.9 m .
Use a t-distribution to answer this question. Assume the samples are random samples from distributions that are reasonably normally distributed, and that a t-statistic will be used for inference about the difference in sample means. State the degrees of freedom used. Find the endpoints of the t-distribution with 5% beyond them in each tail if the samples have sizes n1=8 and n2=10.
Enter the exact number for the degrees of freedom and round your answer for the endpoints to two decimal places.
degrees of freedom = □
endpoints =±i
5. A number x is three less than twice y. When you add x multiplied by 4 and y, the sum is six. What are the values of x and y ? Equation 1: Equation 2:
a) A factory makes 3types of products P1,P2,P3. The factory needs 5 units of volume to store one unit of P1,3.5 units of volume to store one unit of P2,4.2 units of volume to store one unit of P3. The factory uses 3 hours of manpower to make 1 unit of P1,4 hours of manpower to make 1 unit of P2,6 hours of manpower to make 1 unit of P3
It sells 1 unit of P1 at 450F,1 unit of P2 at 620F,1 unit of P3 at 780 F .
The factory has only 40 units of stock volume, it cannot pay over 20 hours of manpower.
Formulate it as the optimization LPP.
b) What is difference between TRANSPORTATION PROBLEM and ASSIGNMENT PROBLEM?
c) What are the steps in decision marking process?
d) Find the maximum of f(x,y)=17x+15y80≤4x+2yy≤4+xx≤8+yx+y≤40x≥0y≥0
SITUATION COMPLEXE
Koffi est un grand cultivateur de la ville d'Abengourou. Il utilise une charrette pour
ramener ses récoltes à la maison. La charrette comporte deux roues dotées chacune de
rayons fait en barres de fer par un soudeur comme l'indique la figure ci -- contre. Il
voudrait que cette charrette puisse supporter des charges beaucoup plus importantes.
Sur ce, son ami Kouman, professeur de MATHS au lycée Moderne d'Abengourou lui conseille de refaire les roues de sorte que l'angle α∈ ]0; 3π [ entre deux rayons successifs
vérifie la relation : 3cos2α+sin2α=1. Etant donné que ni Koffi, ni son soudeur n'a de connaissances en Mathématiques, il
sollicite son fils Tano, votre camarade de classe pour déterminer le nombre de rayons
qu'il faudra avoir sur chaque nouvelle roue.
En utilisant votre connaissance mathématique au programme, Aidez votre camarade à
trouver une solution au problème de son père.
Think about the following relation: {(3,0),(5,8),(3,6),(−3,8)
What is the domain of the relation? \{
□ \}
What is the range of the relation? \{
□ \}
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