Word Problem

Problem 9101

Stella solves the following system of equations using the substitution method. y=4x65xy=10\begin{array}{l} y=-4 x-6 \\ 5 x-y=10 \end{array}
What is the single-variable equation she solves after substituting? 5x4x6=105 x-4 x-6=10 5x(4x6)=105 x-(-4 x-6)=10 5x+10=(4x6)5 x+10=-(4 x-6) 5x+10=4x65 x+10=-4 x-6

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Problem 9102

Nathan solves the following system of equations using the elimination method. 2x+3y=64x6y=12\begin{array}{l} -2 x+3 y=6 \\ 4 x-6 y=-12 \end{array}
He chooses to eliminate the variable xx. Which statement correctly describes his process and solution? Nathan multiplies 2x+3y=6-2 x+3 y=6 by 2 and then subtracts the equations. He finds the result is a contradiction, so there is no solution. Nathan multiplies 2x+3y=6-2 x+3 y=6 by 2 and then adds the equations. He finds the result is an identity, so there are infinitely many solutions. Nathan multiplies 2x+3y=6-2 x+3 y=6 by 2 and then adds the equations. He finds the result is a contradiction, so there is no solution. Nathan multiplies 2x+3y=6-2 x+3 y=6 by 2 and then subtracts the equations. He finds the result is an identity, so there are infinitely many solutions. Tormin un

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Problem 9103

Question 13 Next Question
What is the least common multiple of 6,9 , and 12 ? an assignment during this with the unit. (10 points)
Answer \square Submit Answer

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Problem 9104

Diketahui pada lingkaran OO terdapat titik-titik A,B1A_{,} B_{1} dan CC. Jika besar ABC=34\angle A B C=34^{\circ}, berapa besar AOC\angle A O C ?
Pilih Salah Satu Jawaban (A) 5858^{\circ}
B 2929^{\circ} (C) 6868^{\circ} (D) 1717^{\circ} (E) 7272^{\circ}

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Problem 9105

A block hangs on a spring attached to the ceiling and is pulled down 11 in below its equilibrium position. After release, the block makes one complete up-anddown cycle in 1 sec and follows simple harmonic motion.
Part: 0/50 / 5
Part 1 of 5 (a) What is the period of motion? P=P= \square sec

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Problem 9106

Find the area of the following region. The region common to the circles r=10cosθr=-10 \cos \theta and r=5r=5.

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Problem 9107

BSAD/MATH 2170 Applied Statistics - Marquis (1) Haley Stone Homework: 10.1 Correlation Question 6, 10.1.1 HW Score: 37.88%,8.3337.88 \%, 8.33 of 22 points Part 2 of 3 Points: 0.33 of 1 Save
Question list
Media 3
Question 1
Question 2
Question 3
Question 4
Question 5
Twenty different statistics students are randomly selected. For each of them, their body temperature (C)\left({ }^{\circ} \mathrm{C}\right) is measured and their head circumference (cm)(\mathrm{cm}) is measured. a. For this sample of paired data, what does r represent, and what does ρ\rho represent? b. Without doing any research or calculations, estimate the value of rr. c. Does r change if body temperatures are converted to Fahrenheit degrees? A. rr is a statistic that represents the proportion of the variation in head circumference that can be explained by variation in body temperature, and ρ\rho is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students. B. rr is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and ρ\rho is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students. C. rr is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data, and ρ\rho is a parameter that represents the proportion of the variation in head circumference that can be explained by variation in body temperature. D. rr is a parameter that represents the value of the linear correlation coefficient that would be computed by using all of the paired data in the population of all statistics students, and ρ\rho is a statistic that represents the value of the linear correlation coefficient computed from the paired sample data. b. Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a decimal rounded to one decimal place as needed.) The value of rr is estimated to be \square because it is likely that body temperature and head circumference are strongly positively correlated. B. The value of rr is estimated to be \square , because it is likely that body temperature and head circumference are strongly negatively correlated. C. The value of rr is estimated to be \square , because it is likely that there is no correlation between body temperature and head circumference. x/x / Question 6

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Problem 9108

Consider a function f(x)=3x+a+2f(x)=-\sqrt{3x+a+2}.
c) In the space below, determine an expression representing the domain and range of f(x)f(x).
Do not provide the full form, provide the inequality portions only! For example, your domain could be x<5x<5 and your range could be y75y \geq-75.
D: \square
R: \square
d) In the space below, determine an expression representing the xx-intercept of f(x)f(x). state the xx-coordinate only. x=x= \square

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Problem 9109

4. For each pair of numbers in parts (a)-(d), choose the number that is closer to 0 . Explain. a. 4 and 10 b. 4 and -1 c. 4 and -4 d. -4 and -10

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Problem 9110

5. Finn bought 12 movie tickets. Student tickets cost $4\$ 4, and adult tickets cost $8\$ 8. Finn spent a total of $60\$ 60. Write and graph a system of equations to find the number of student and adult tickets Finn bought. Lesson 5-2 x+y=124x+8y=60\begin{array}{l} x+y=12 \\ 4 x+8 y=60 \end{array}
6. What value of mm gives the system infinitely many solutions? Lesson 5-1 x+4y=32y=mx+8\begin{array}{l} -x+4 y=32 \\ y=m x+8 \end{array}

Types of Movie Tickets

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Problem 9111

Security Inc. is looking for a security officer responsible for the protection and safety of assets, properties, personnel, customers, and all visitors in various client establishments. To evaluate their applicants, some of the following variables were observed: VV - whether or not he/she has been issued firearm, tear gas, and baton permits E - highest educational attainment (elementary, highschool, college) X - maximum weight of objects he/she can lift, carry, or push (in pounds) Y - number of past employment related to security service Z - whether or not his/her driver's license has been denied/suspended in the past 3 years
The level of measurement of variables YY and ZZ are \qquad and \qquad , respectively. ratio, ordinal interval, nominal interval, ordinal Ratio, nominal

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Problem 9112

Which of the following is(are) TRUE about a normal random variable?
1. Its distribution is symmetric about the median
2. The probability that the random variable is greater than its mode is zero Neither 1 nor 2 1 only Both I and 2 2 only

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Problem 9113

For log514\log _{5} 14, (a) Estimate the value of the logarithm between two consecutive integers. For example, log27\log _{2} 7 is between 2 and 3 because 22<7<232^{2}<7<2^{3}. (b) Use the change-of-base formula and a calculator to approximate the logarithm to 4 decimal places. (c) Check the result by using the related exponential form.
Part: 0/30 / 3
Part 1 of 3 (a) Estimate the value of the logarithm between two consecutive integers. <log514<\square<\log _{5} 14<\square

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Problem 9114

7 of 7
Determine which of the following infinite geometric series have a finite sum. ।. 4+5+254+4+5+\frac{25}{4}+\ldots II. 7+143289+-7+\frac{14}{3}-\frac{28}{9}+\ldots III. 121+2+\frac{1}{2}-1+2+\ldots IV. 4+85+1625+4+\frac{8}{5}+\frac{16}{25}+\ldots I, III only II, IV only III only I, II, IV only

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Problem 9115

Which set of angles has the same terminal arm as 4040^{\circ} ? A) 400,760,1120400^{\circ}, 760^{\circ}, 1120^{\circ} B) 220,400,580220^{\circ}, 400^{\circ}, 580^{\circ} C) 80,120,20080^{\circ}, 120^{\circ}, 200^{\circ} D) 130,220,310130^{\circ}, 220^{\circ}, 310^{\circ}
Question 7 (1 point) \checkmark Saved
In which quadrants are the sine ratios negative values? 2 and 4 3 and 4 1 and 3 None of the options 1 and 2 Question 8 (1 point) Saved

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Problem 9116

In algebra, we use a(n) \qquad to represent a variable.
Answer here

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Problem 9117

Ten balls numbered from 1 to 10 are placed into a bag. Some are grey and some are white. The balls numbered 1,3,5,7,8,91,3,5,7,8,9, and 10 are grey. The balls numbered 2,4 , and 6 are white. A ball is selected at random. Let XX be the event that the selected ball is white, and let P(X)P(X) be the probability of XX.
Let not XX be the event that the selected ball is not white, and let PP (not XX ) be the probability of not XX. (a) For each event in the table, check the outcome(s) that are contained in the event. Then, in the last column, enter the probability of the event. \begin{tabular}{|c|c|c|c|c|c|c|c|c|c|c|c|} \hline \multirow{2}{*}{Event} & \multicolumn{10}{|c|}{Outcomes} & \multirow[b]{2}{*}{Probability} \\ \hline & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & \\ \hline X & - & 10 & C & 7 & 4 & ( & 0 & 4 & 0 & 0 & P(X)=P(X)=\square \\ \hline not X & 0 & T & 0 & \% & 4 & (1) & ( & th & \% & 4 & P(notX)=P(\operatorname{not} X)=\square \\ \hline \end{tabular} (b) Subtract. 1P(X)=1-P(X)= \square

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Problem 9118

6. Which is colder: a temperature of 2F-2^{\circ} \mathrm{F} or 1F-1^{\circ} \mathrm{F} ? Justify your answer.

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Problem 9119

Follow the seven step strategy to graph the following rational function. f(x)=1x24f(x)=-\frac{1}{x^{2}-4}
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comple A. The equation(s) of the vertical asymptote(s) is/are x=2,x=2x=2, x=-2. (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote.
Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to comp A. The equation(s) of the horizontal asymptote(s) is/are y=0\mathrm{y}=0. (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote.
Plot points between and beyond each xx-intercept and vertical asymptote. Find the value of the function at the giver x f(x)=1x24f(x)=-\frac{1}{x^{2}-4} 74\begin{array}{ll}-7 & -4\end{array} 0 4 7 \square \square \square \square \square (Simplify your answers.)

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Problem 9120

8. Describe a real-world situation that the number -20 represents. Explain what 0 represents in your situation.

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Problem 9121

15. In a football game, all of the home team's points are from 7 -point touchdowns and 3 -point field goals. The team scores six times. Write and solve a system of linear equations to find the numbers of touchdowns and field goals that the home team scores. (Section 5.1, Section 5.2, and Section 5.3) 260 Chapter 5 Solving Systems of Linear Equations

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Problem 9122

2 Chelsea spent the same amount of time writing in a journal every day for 14 days. She wrote in the journal for a total of 3.5 hours, as shown in the diagram below.
How much time did Chelsea spend writing in the journal each day? (F) 2.5 h (H) 0.37 h (G) 0.24 h (3) 0.25 h

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Problem 9123

11 B I U A Name:
Exponential Growth/ Exponential Decay Date: \qquad Period: \qquad d. In how many days total will the video stop being a fan favorite?
The typical student loan has an interest rate of approximately 5%5 \%. This means a $20,000\$ 20,000 loan paid off over 10 years will end up costing you $28,900\$ 28,900
The New Jersey Volleyball Association invited 64 teams to compete in a tournament. After each round, half of the teams were eliminated. Create an equation that represents the number of teams, tt, that remained in the tournament after r rounds. I

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Problem 9124

Translate the sentence into an inequality. Four subtracted from yy is less than -15 . \square

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Problem 9125

Hemisphere
7. Find the volume of the umbrella if its radius is 2.1 ft .
8. Find the volume of the umbrella if its diameter is 48 in .

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Problem 9126

Jack is a great chess player. He wins 76%76 \% of the games. He is scheduled to play 120 games this year. What is the expected number of games that he will lose?

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Problem 9127

ollow the seven step strategy to graph the following rational function. f(x)=2x2x21f(x)=\frac{2 x^{2}}{x^{2}-1}
What is the yy-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The yy-intercept is 0 . (Type an integer or a simplified fraction.) B. There is no yy-intercept.
What is/are the xx-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The xx-intercept(s) is/are 0. (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There is no xx-intercept.
Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the vertical asymptote(s) is/are \square 7. (Type an equation. Use a comma to separate answers as needed.) B. There is no vertical asymptote.

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Problem 9128

Based solely on the information given, do you have reason to question the results of the following hypothetical study? Explain your reasoning.
A study by a conservative foundation is designed to assess a new Democratic spending plan.
Is there reason to question the results? Select all that apply. A. Yes, there is reason. It makes sense that a Democratic spending plan would be studied by a conservative foundation. B. Yes, there is reason. There is a possibility of bias in the study. C. No, there is not reason. The goal of the study is clear. D. No, there is not reason. There is no bias in the study. E. Yes, there is reason. The variables that were measured are not identified. F. No, there is not reason. It is unlikely that there are any confounding variables in the study.

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Problem 9129

"ints A. Assessmentic 1 For a school celebration, Principal Johnson purchased a large sheet cake that was cut into 100 pieces. She kept 8 pieces for the office staff and divided the remaining pieces equally among the 4 fifth-grade classes. The shaded diagram below shows the part of the cake that was given to the classes.
Which equation shows the part of the cake each class received? (A) 100÷4=25100 \div 4=25 (B) 0.92÷4=0.230.92 \div 4=0.23 (c) 0.08÷4=0.020.08 \div 4=0.02 (D) 0.92÷4=230.92 \div 4=23

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Problem 9130

Good credit: The Fair Isaac Corporation (FICO) credit score is used by banks and other lenders to determine whether someone is a good credit risk. Scores range from 300 to 850 , with a score of 720 or more indicating that a person is a very good credit risk. An economist wants to determine whether the mean FICO score is lower than the cutoff of 720 . She finds that a random sample of 55 people had a mean FICO score of 685 with a standard deviation of 80 . Can the economist conclude that the mean FICO score is less than 720 ? Use the α=0.10\alpha=0.10 level of significance and the PP-value method with the TI-84 Plus calculator.
Part: 0/50 / 5 \square
Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H0:H1:\begin{array}{l} H_{0}: \square \\ H_{1}: \square \end{array}
This hypothesis test is a \square (Choose one) test. \square Skip Part Check Save For Later Submit Assignment

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Problem 9131

Learn with an sample warch a vides
Helen made a scale drawing of an office building. A desk, which is 6 feet long in real life, is 2 inches long in the drawing. What scale did Helen use for the drawing?
1 inch : \square feet
Subrit

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Problem 9132

The population of deer in South Bend, Tennessee is being monitored for research purposes. There were 56 deer tagged initially in January 2023. Researchers found the deer growing at a monthly rate of 3.5%3.5 \%, which can be represented by the model: y=56e.035ty=56 e^{.035 t}. Following this trend, how many months did it take for the deer population to reach 103. Round up.

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Problem 9133

The population of a small town in central Florida has shown a linear decline in the years 1989-2001. In 1989 the population was 35900 people. In 2001 it was 26900 people. A) Write a linear equation expressing the population of the town, PP, as a function of tt, the number of years since 1989. Answer: \square B) If the town is still experiencing a linear decline, what will the population be in 2006? \square

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Problem 9134

3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank rate of 163416 \frac{3}{4} liters per minute. The tank also has a drain that allows solution to leave the tank at a rate 194519 \frac{4}{5} liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute? (b) What is the change in volume of the solution after 15 seconds? Show necessary work. (c) What does the change in volume after 15 seconds mean in the real world? Answer in complet sentences. Answer:

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Problem 9135

If mB=mD=46m \angle B=m \angle D=46, find mCm \angle C so that quadrilateral ABCDA B C D is a parallelogram. The diagram is not to scale.
Select one: a. 46 b. 92 C. 134 d. 268

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Problem 9136

Lola drew a scale drawing of a city park. The soccer field is 232 millimeters long in the drawing. The actual field is 116 meters long. What is the scale of the drawing?
2 millimeters : \square meters Submit

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Problem 9137

a) What does the differential equation y(x)=7y(x)y^{\prime}(x)=-7 * y(x) tell us about the graph of yy against xx (the conventional way to plot xx and yy )? (Clear my choice) The slope of yy against xx is always -7 times the yy-coordinate. The slope of yy against xx is always -7 times the xx-coordinate. The rate of change of xx is always -7 times the xx-coordinate. The slope of yy against xx is always -7 The slope of yy against xx is always 1/7-1 / 7 times the yy-coordinate.

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Problem 9138

2 You give a delivery driver $15.50\$ 15.50 for a pizza that costs $12.50\$ 12.50. You tell the driver to keep the change as a tip. Is the tip more than or less than 20%20 \% ? \qquad

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Problem 9139

Taxes: The Internal Revenue Service reports that the mean federal income tax paid in the year 2010 was $8040\$ 8040. Assume that the standard deviation is $4800\$ 4800. The IRS plans to draw a sample of 1000 tax returns to study the effect of a new tax law.
Part: 0/50 / 5 \square
Part 1 of 5 (a) What is the probability that the sample mean tax is less than $8100\$ 8100 ? Round the answer to at least four decimal places.
The probability that the sample mean tax is less than $8100\$ 8100 is \square .

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Problem 9140

Moneysaver's Bank offers a savings account that earns 5%5 \% interest per year, compounded continuously. If Michael deposits $2600\$ 2600, how much will he have in the account after seven years, assuming he makes no withdrawals?
Do not round any intermediate computations, and round your answer to the nearest cent. \I【I \square$

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Problem 9141

Sebuah benda bermassa 500 g bergerak * dengan kelajuan 6 m/s6 \mathrm{~m} / \mathrm{s}. Momentum benda tersebut adalah .... 0,6kg.m/s 1,0 kg.m/s 1,4 kg.m/s 2,5 kg.m/s 3,0 kg.m/s

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Problem 9142

Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y=10xx2,y=x; about x=120()dx\begin{array}{r} y=10 x-x^{2}, y=x ; \text { about } x=12 \\ \int_{0}(\square) d x \end{array} Submit Answer

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Problem 9143

High-rent district: The mean monthly rent for a one-bedroom apartment without a doorman in Manhattan is $2557\$ 2557. Assume the standard deviation is $486\$ 486. A real estate firm samples 86 apartments. Use Excel.
Part: 0/50 / 5 \square
Part 1 of 5 (a) What is the probability that the sample mean rent is greater than $2627\$ 2627 ? Round the answer to at least four decimal places.
The probability that the sample mean rent is greater than $2627\$ 2627 is \square .

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Problem 9144

1. Two balls are selected from a bowl containing 4 white balls, 2 green balls and 3 blue balls. Assuming that the selection is made randomly, one at a time with replacement, find the probability that (i) both balls are white. (ii) 2 different colors of balls.
2. A card is drawn from a deck of cards. The events A and B are defined as follows:

A: The selected card is a heart. BB : The selected card is a king. Find P(A),P(B)\mathrm{P}(\mathrm{A}), \mathrm{P}(\mathrm{B}) and P(AB)\mathrm{P}(\mathrm{A} \cap \mathrm{B}). State with reasons, if the events A and B are mutually exclusive events.
3. A box contains 3 blue marbles, 2 green marbles and 5 yellow marbles. 2 marbles are randomly drawn from the box one after the other with replacement. Find the probability of drawing (i) 2 blue marbles. (ii) 2 different colors of marbles.
4. The events AA and BB occur with probability P(A)=25P(A)=\frac{2}{5} and P(B)=14P(B)=\frac{1}{4}. Find P(AB)P(A \cup B) if the events (i) A and B are mutually exclusive, (ii) A and B are independent.
5. The three-year annual returns of 14 low-risk funds arranged in ascending order are given as follows. \begin{tabular}{|c|c|c|c|c|c|c|} \hline 9.77 & 11.35 & 12.46 & 13.80 & 15.47 & 17.48 & 18.37 \\ \hline 18.61 & 20.72 & 21.49 & 22.47 & 31.50 & 38.16 & 18.47 \\ \hline \end{tabular}

Find (i) the first quartile, (ii) the median, (iii) the third quartile.
6. A sample of 10 students in UITM showed the following credit hours taken during the first year of their programme. 17182118201922211824\begin{array}{llllllllll}17 & 18 & 21 & 18 & 20 & 19 & 22 & 21 & 18 & 24\end{array} Find (i) mean, (ii) the median, (iii) the third quartile.

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Problem 9145

Suppose the amount of a certain radioactive substance in a sample decays from 5.20 mg to 1.90 mg over a period of 6.21 minutes. Calculate the half life of the substance.
Round your answer to 2 significant digits. \square \square ×10\times 10

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Problem 9146

A gym teacher has $16\$ 16 to spend on new basketballs. If each basketball costs $9\$ 9, how many basketballs can the gym teacher buy? basketballs

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Problem 9147

- Student A drives a car and hits other causes a loss of \12,000Theinsurancefeaturesareasfollwing.1.Ifdriverhitsothersonpurpose,nopayment.2.Otherwises,themaximumis12,000 - The insurance features are as follwing. - 1.If driver hits others on purpose, no payment. - 2. Otherwises, the maximum is \9,000 9,000 - 3. The customer should pay $1,200\$ 1,200 from their own pocket. - 4. The copayment rate is 16%16 \%. - How much can A claim from insurance company?

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Problem 9148

Kala-needs $8346\$ 8346 for a future project. She can invest $6000\$ 6000 now at an annual rate of 3.4%3.4 \%, compounded quarterly. Assuming that no withdrawals are made, how long will it take for her to have enough money for her project?
Do not round any intermediate computations, and round your answer to the nearest hundredth. \square years

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Problem 9149

y=6(21)+26y=6(2-1)+26
10. (Calculator Active) After a large snow storm, snow is plowed into a large mound to the side of a parking lot. As the snow melts, the amount of snow remaining can be modeled by S(t)=562e0.5tS(t)=562 e^{-0.5 t} where tt is measured in days. After 7 days, the amount of snow remaining is better estimated by the linear approximation to SS at t=7t=7 days. Use this linear approximation to SS to estimate the amount of snow remaining att =8=8 days.

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Problem 9150

Indium-116 is radioactive and has a half life of 14.10 seconds. What percentage of a sample would be left after 48.7 seconds? Round your answer to 2 significant digits.
%\% \square ×10\times 10

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Problem 9151

Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40 , with a standard deviation of 25 . A pollster draws a sample of 90 people to interview.
Part: 0/50 / 5
Part 1 of 5 (a) What is the probability that the sample mean income is less than 36 ? Round the answer to at least four decimal places.
The probability that the sample mean income is less than 36 is \square

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Problem 9152

Consider the following proof:
1. ¬FB\neg \mathrm{F} \rightarrow \mathrm{B}
2. ¬B\neg B FVE\therefore \mathrm{FVE}

Which of the following is a derivation needed for this proof? F=E\rightarrow F \vee=E -F E\rightarrow \mathrm{E}

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Problem 9153

1. You can write an equation to solve comparison problems. An equation is a number sentence that uses the equal sign ( == ) to show that two expressions have the same value. Phrases, such as times as many as or more than, can be used to compare quantities.
Compare with Multiplication There are 6toys and 3 times as many books. How many books, bb, are there?
Compare with Addition There are 6 toys. There are 12 more books than toys. How many books are there? b=3×6b=3 \times 6 b=6+12b=6+12 b=b= \qquad books b=b= \qquad books

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Problem 9154

Find the volume VV of the described solid SS. a right circular cone with height 4h4 h and base radius 2r2 r

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Problem 9155

7. Power lines 12 m from the ground carry 4.50×103 A4.50 \times 10^{3} \mathrm{~A} of current across a farmer's field. What magnetic field strength do the cattle directly underneath experience? ( 3 marks)

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Problem 9156

Part 2: \begin{tabular}{|l|l|l|l|l|l|l|l|l|l|} \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline & & & & & & & & & \\ \hline \end{tabular}
1. If the entire grid has a value of $100\$ 100, what is the value of each small square in the grid?
2. If the entire grid has a value of $100\$ 100, what is the value of 10 small squares in the grid?
3. If the entire grid has a value of $200\$ 200, what is the value of each small square in the grid?
4. If the entire grid has a value of $200\$ 200, what is the value of 10 small squares in the grid?
5. If the entire grid has a value of $80\$ 80, what is the value of each small square in the grid?
6. If the entire grid has a value of $80\$ 80, what is the value of 10 small squares in the grid?
7. If the entire grid has a value of $120\$ 120, what is the value of each small square in the grid?
8. If the entire grid has a value of $120\$ 120, what is the value of 10 small squares in the grid?
9. If the entire grid has a value of $24\$ 24, what is the value of each small square in the grid?
10. If the entire grid has a value of $24\$ 24, what is the value of 10 small squares in the grid? 6WB2 - 10 e2014 University of Utah Middle School Math Project in partnenthip with

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Problem 9157

CL 3-113. Two brothers, Martin and Horace, are in their backyard. Horace is taking down a brick wall on one side of the yard while Martin is building a brick wall on the other side. Martin lays 2 bricks every minute. Meanwhile, Horace takes down 3 bricks each minute from his wall. They both start working at the same time. It takes Horace 55 minutes to finish tearing down his wall. a. How many bricks were originally in the wall that Horace started tearing down? b. Represent this situation with equations, tables, and a graph. c. When did the two walls have the same number of bricks?

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Problem 9158

```latex \text{Eleanna}
\text{Annual income: The mean annual income for people in a certain city (in thousands of dollars) is 40, with a standard deviation of 25. A pollster draws a sample of 90 people to interview.}
\text{Part 1 of 5}
\text{(a) What is the probability that the sample mean income is less than 36? Round the answer to at least four decimal places.}
\text{The probability that the sample mean income is less than 36 is 0.0643.}
\text{Part 2 of 5}
\text{(b) What is the probability that the sample mean income is between 37 and 43? Round the answer to at least four decimal places.}
\text{The probability that the sample mean income is between 37 and 43 is 0.7458.}
\text{Part 3 of 5}
\text{(c) Find the 10th10^{\text{th}} percentile of the sample mean. Round the answer to at least one decimal place.}
\text{The 10th10^{\text{th}} percentile of the sample mean is 36.6.}
\text{Part 4 of 5}
\text{(d) Would it be unusual for the sample mean to be less than 37? Round the answer to at least four decimal places.}
\text{It \square (Choose one) unusual because the probability of the sample mean being less than 37 is \square.} ```

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Problem 9159

Exponential and Logarithmic Functions Finding the time in a word problem on compound interest
Suppose that $2000\$ 2000 is placed in a savings account at an annual rate of 10.8%10.8 \%, compounded monthly. Assuming that no withdrawals are made, how long will it take for the account to grow to $3130\$ 3130 ?
Do not round any intermediate computations, and round your answer to the nearest hundredth. \square years

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Problem 9160

10. A car experiences a centripetal acceleration of 4.4 m/s24.4 \mathrm{~m} / \mathrm{s}^{2} as it rounds a corner with a speed of 15 m/s15 \mathrm{~m} / \mathrm{s}. What is the radius of the corner? (51.12m)

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Problem 9161

Cassidy has 10 rose bushes and 15 azalea bushes to plant. What is the greatest amount of equal rows she can make wha no plants left over?

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Problem 9162

1. If 1 small square has a value of $0.3\$ 0.3, what is the value of the entire grid?

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Problem 9163

Mark: \%
Question 1 A quality control test is performed on a sample of 5 metallic rods to verify if the diameter conforms to prescribed specifications.
Here are the data in mm . 4.8 5.1 4.9 5.0 4.9
What is the mean deviation of the diameter for the 5 rods? A) 0.21 mm
Work B) 0.38 mm C) 0.09 mm D) 0.13 mm

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Problem 9164

Question
Determine whether Rolle's Theorem applies to the given function on the given interval. If so, find the point(s) that are guaranteed to exist by Rolle's Theorem. f(x)=x(x4)2;[0,4]f(x)=x(x-4)^{2} ;[0,4]
Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. Rolle's Theorem applies and the point(s) guaranteed to exist is/are c=c= \square (Type exact answer(s). Use a comma to separate answers as needed.) B. Rolle's Theorem does not apply.

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Problem 9165

The number of bacteria in a certain population is predicted to increase according to a continuous exponential growth model, at a relative rate of 16%16 \% per hour. Suppose that a sample culture has an initial population of 268 bacteria. Find the population predicted after three hours, according to the model.
Do not round any intermediate computations, and round your answer to the nearest tenth. \square bacteria

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Problem 9166

an wof find What is the ?
16. Stancha diganith Ste has 28 magness Sne amanges the magness impo 4 equal couss wite an equarion using a lener to == equesent the urkioum value to find how thand magness are in each rour.

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Problem 9167

1. Détermine l'équation du lieu du point PP dont la somme des distances aux points K(11,4)K(-11,4) et L(7,4)L(7,4) est égale à 30 unités. \qquad

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Problem 9168

Write inequalities to represent the situations below.
To ride a roller coaster, a visitor must be taller than 52\mathbf{5 2} inches. Use h to represent the height (in inches) of a visitor able to ride. \square
To get the 10%\mathbf{1 0 \%} discount, a shopper must spend no less than $500\mathbf{\$ 5 0 0}. Use d\mathbf{d} to represent the spending (in dollars) of a shopper who gets the discount. \square

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Problem 9169

Review Constants Pe
MISSED THIS? Watch KCV 15.8, IWE 15.9; Read Section 15.8. You can click on the Review link to access the section in your eText.
For the following reaction, Kc=255K_{\mathrm{c}}=255 at 1000 K . CO(g)+Cl2( g)COCl2( g)\mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{~g}) A reaction mixture initially contains a CO concentration of 0.1530 M and a Cl2\mathrm{Cl}_{2} concentration of 0.172M0.172 M at 1000 K .
What is the equilibrium concentration of CO at 1000 K ? Express your answer in molarity to three significant figures. View Available Hint(s) \square Submit
Part B
What is the equilibrium concentration of Cl2\mathrm{Cl}_{2} at 1000 K ? Express your answer in molarity to three significant figures. View Available Hint(s) \square Submit

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Problem 9170

Review Constants
What is the equilibrium concentration of CO at 1000 K ? Express your answer in molarity to three significant figures.
MISSED THIS? Watch KCV 15.8, IWE 15.9; Read Section 15.8. You can click on the Review link to access the section in your eText.
For the following reaction, Kc=255K_{\mathrm{c}}=255 at 1000 K . CO(g)+Cl2( g)COCl2( g)\mathrm{CO}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{COCl}_{2}(\mathrm{~g}) A reaction mixture initially contains a CO concentration of 0.1530 M and a Cl2\mathrm{Cl}_{2} concentration of 0.172 M at 1000 K .

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Problem 9171

To test H0:μ=50\mathrm{H}_{0}: \mu=50 versus H1:μ<50\mathrm{H}_{1}: \mu<50, a random sample of size n=22\mathrm{n}=22 is obtained from a population that is known to be normally distributed. Complete parts (a) through (d) below. Click here to view the t-Distribution Area in Right Tail. (a) If xˉ=47.5\bar{x}=47.5 and s=10.3s=10.3, compute the test statistic. t0=t_{0}= \square (Round to three decimal places as needed.) (b) If the researcher decides to test this hypothesis at the α=0.05\alpha=0.05 level of significance, determine the critical value(s). Although technology or a t-distribution table can be used to find the critical value, in this problem use the t-distribution table given.
Critical Value: \square (Round to three decimal places. Use a comma to separate answers as needed.) (c) Draw a t-distribution that depicts the critical region. Choose the correct answer below. A. B. c. (d) Will the researcher reject the null hypothesis? A. Yes, because the test statistic falls in the critical region. B. Yes, because the test statistic does not fall in the critical region. Time Remaining: 01:33:36 Submit quiz

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Problem 9172

The operations manager of a company hired a consultant to look for possible ways to improve workers' productivity. The plan recommended by the consultant was applied to a sample of workers, whose mean productivity was compared with their mean productivity before the plan was implemented. The resulting p-value was 0.15 . Based on this result, which would be the correct conclusion and course of action? the p -value is less than or equal to the significance level. There is insufficient sample evidence showing that the recommended plan increases workers' productivity. The plan should not be implemented without additional study A paired sample dd test should be applied inthis case. There is sufficient sample evidence showing that the recommended plan increases workers' productivity. The plan should be implemented to include all workers

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Problem 9173

Katherin deposits \$75,000 in a 3-year CD account that yields 3.5\% interest, compounded weekly. What is the amount of his interest, to the nearest cent, at the end of 3 years?

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Problem 9174

Identify each of the following as acidic, basic, or neutral:
1. a solution where the H3O+\mathrm{H}_{3} \mathrm{O}^{+}concentration is greater than the OH\mathrm{OH}^{-}concentration [ Select ]
2. a solution that is 0.25 M NaOH [ Select ]
3. a solution that is 1.0 M HCl [ Select ]
4. a solution that has a pH of 10 [Select]
5. a solution of NaCl [ Select]

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Problem 9175

Jo has 27 stickers and 6 model cars. She puts the same number of stickers on each car, and she uses as many stickers as she can. How many stickers does Jo put on each car? How many stickers are left?
Does Jo have enough stickers to put 2 stickers on each car?

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Problem 9176

Each license plate in a certain state has six characters (with repeats allo Here are the possibilities for each character. \begin{tabular}{|c|l|} \hline Character & \multicolumn{1}{|c|}{ Possibilities } \\ \hline First & The digits 1, 2, 3, 4, or 5 \\ \hline Second & The 26 letters of the alphabet \\ \hline Third & The 26 letters of the alphabet \\ \hline Fourth & The 10 digits 0 through 9 \\ \hline Fifth & The 10 digits 0 through 9 \\ \hline Sixth & The 10 digits 0 through 9 \\ \hline \end{tabular}
How many license plates are possible in this state?

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Problem 9177

5 pts
Question 4
Daniah deposits $4,000\$ 4,000 in a savings account at New York State Bank that pays 5.4%5.4 \% interest, compounded monthly. What is the amount of interest at the end of the year?

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Problem 9178

A sinusoidal wave is traveling on a string with speed 107 cm/s107 \mathrm{~cm} / \mathrm{s}. The displacement of the particles of the string at x=16 cmx=16 \mathrm{~cm} is found to vary with time according to the equation y=(1 cm)sin[0.84(5.6 s1)t]y=(1 \mathrm{~cm}) \sin \left[0.84-\left(5.6 \mathrm{~s}^{-1}\right) t\right]
The linear density of the string is 1.8 g/cm1.8 \mathrm{~g} / \mathrm{cm}. What are (a) the frequency and (b) the wavelength of the wave? If the wave equation is of the form y(x,t)=ymsin(kxωt),y(x, t)=y_{m} \sin (k x-\omega t), what are (c) ymy_{m}, (d) kk, and (e) ω\omega, and (f) the correct choice of sign in front of ω\omega ? (g) What is the tension in the string?

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Problem 9179

The length of a rectangle is 2 cm longer than its width. If the perimeter of the rectangle is 64 cm , find its length and width. \square

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Problem 9180

2. Critical Thinking:
Rhoda is saving up money for a down payment on a condominium. She currently has $2571\$ 2571 but knows she can get a loan at a lower interest rate if she can put down $3308\$ 3308. If she invests the $2571\$ 2571 in an account that earns 4.9%4.9 \% annually, compounded monthly, how long will it take Rhoda to accumulate the $3308\$ 3308 ? Round your answer to two decimal places, if necessary.

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Problem 9181

5 pts
Daniah deposits $4,000\$ 4,000 in a savings account at New York State Bank that pays 5.4%5.4 \% interest, compounded monthly. What is the APY for this account to the nearest hundredth of a percent?

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Problem 9182

Guillermo finished 4 math problems. These problems represent 20%20 \% of the assigned math problems, as shown in the diagram.
What is the total number of math problems Guillermo was assigned? \square problems \square

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Problem 9183

In a poll of 510 human resource professionals, 45.9%45.9 \% said that body piercings and tattoos were big personal grooming red flags. Complete parts (a) through (d) below. a. Among the 510 human resource professionals who were surveyed, how many of them said that body piercings and tattoos were big personal grooming red flags? \square (Round to the nearest integer as needed.) b. Construct a 99\% confidence interval estimate of the proportion of all human resource professionals believing that body piercings and tattoos are big personal grooming red flags. \square <p<<p< \square (Round to three decimal places as needed.) c. Repeat part (b) using a confidence level of 80%80 \%. \square < <<<< \square (Round to three decimal places as needed.) d. Compare the confidence intervals from parts (b) and (c) and identify the interval that is wider. Why is it wider? proportion. proportion. proportion. proportion.

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Problem 9184

Question Round 2.606 to the nearest tenth.
Answer Attempt 1 out of 5

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Problem 9185

13. 267×3142 \frac{6}{7} \times 3 \frac{1}{4}
14. 12910×61412 \frac{9}{10} \times 6 \frac{1}{4}
15. 438×17274 \frac{3}{8} \times 17 \frac{2}{7}

Estimate the area of each rectangle. 16. 17.
18. SCULPTURE Trevor is using the recipe for sculpture-carving material shown at the right. a. About how many cups of cement would he need to make 49\frac{4}{9} batch of the recipe? b. About how many cups of sand would he need to make \begin{tabular}{|l|} \hline \multicolumn{1}{|c|}{ Girostone Recipe } \\ \hline 5 cup vermiculite \\ 1141 \frac{1}{4} cup cement \\ 58\frac{5}{8} cup sand \\ water to form thick paste \\ \hline \end{tabular} 1671 \frac{6}{7} batches of the recipe? Course 1 - Chapter 4 Multiply and Divide Fractions 53

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Problem 9186

Let xx be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood). For healthy adults, the mean of the xx distribution is μ=7,4+A\mu=7,4+A new drug for arthritis has been developed. However, it is thought that this drug may change blood pH. A random sample of 31 patients with arthritis took the drug for 3 months. Blood tests showed that xˉ=8.6\bar{x}=8.6 with sample standard deviation s=3.1s=3.1. Use a 5%5 \% level of significance to test the claim that the drug has changed (either way) the mean pH level of the blood. Ω\Omega USE SALT (a) What is the level of significance? \square State the null and alternate hypotheses. (Enter !=!= for \neq as needed.) H0\mathrm{H}_{0} : \square H1H_{1} : \square (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. We'll use the Student's tt, since the sample size is large and σ\sigma is unknown. We'll use the standard normal, since the sample size is large and σ\sigma is unknown. We'll use the standard normal, since the sample size is large and σ\sigma is known. We'll use the Student's tt, since the sample size is large and σ\sigma is known.
Compute the appropriate sampling distribution value of the sample test statistic. (Round your answer to two decimal places.) \square

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Problem 9187

Two buildings in a sports complex are shaped and positioned like a portion of the branches of the hyperbola 625x2225y2=140,625625 x^{2}-225 y^{2}=140,625, where xx and yy are in meters. (a) How far apart are the buildings at their closest point? (b) Find the distance dd in the figure. (a) The two buildings are \square meters apart at their closest point. (Type an integer or a decimal.) View an example Get more help Clear all

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Problem 9188

15 one Dicit DivisoRs The teacher worked a total of 68 hours one school week (five days). She worked the same amount of time every day except for Thursday when she worked extra (your remainder). How many hours did she work each day? How many hours did she work Thursday?

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Problem 9189

Jose deposits $5000\$ 5000 into an account that pays simple interest at a rate of 5%5 \% per year. How much interest will he be paid in the first 4 years? s! \square

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Problem 9190

Question 24
Suppose that $6500\$ 6500 is placed in an account that pays 17%17 \% interest compounded each year. Assume that no withdrawals are made from the account.
Follow the instructions below. Do not do any rounding. (a) Find the amount in the account at the end of 1 year. \ \square(b)Findtheamountintheaccountattheendof2years.$ (b) Find the amount in the account at the end of 2 years. \$ \square$

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Problem 9191

51
Select ALL the correct answers.
Which of the following situations are fair? To decide which citizens will be asked to participate in a county-wide poll, each citizen is assigned a number and the county uses a random number generator to determine the citizens who will be contacted. Jason plays a game in which he has to pick a ball from a box of 10 balls, which contains 7 black balls and 3 white balls. He wins the game if he draws a white ball in one attempt. Jericho designs a game for a school carnival. The game consists of a box of 50 colored balls; 35 are violet, 10 are orange, and 5 are yellow. The player has to choose one ball from the box. The player wins $5\$ 5 if it is a yellow ball, otherwise, the player wins nothing.
Ryan designs a game where a prize wheel is split into five equal sections. Four sections are red and one is green. If the wheel is spun and lands on a red section, the players loses $1\$ 1. If the wheel lands on green section, the player wins $5\$ 5.
Ray is playing a game in which he rolls a six-sided number cube. If the outcome is six, he is paid $5\$ 5. Otherwise, he loses \$1.
Jack and Mia both want the last cookie and neither will agree to share by splitting it. They ask a stranger passing by to flip a coin to decide who gets the cookie. (c) 2024 Edmentum. All rights reserved.

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Problem 9192

Manuel deposit \5,300intoabankaccountforsevenandahalfyears.Hecomparestwodifferentoptions.Option1willpay5,300 into a bank account for seven and a half years. He compares two different options. Option 1 will pay 6.4 \%interest,compoundedsemiannually.Option2willpay interest, compounded semiannually. Option 2 will pay 6.4 \%interest,compoundedcontinuously.Manueldeposita interest, compounded continuously. Manuel deposita \5.300 5.300 dólares en una cuenta bancaria durante siete años y medio. Compara dos opciones diferentes. La opción 1 pagará un interés del 6.4%6.4 \%, compuesto semestralmente. La opción 2 pagará un interés del 6.4%6.4 \%, compuesto continuamente.
What is the ending balance of Option 1? ¿Cuál es el saldo final de la Opción 1? \square What is the ending balance of Option 2? ¿Cuál es el saldo final de la Opción 2? \square How much interest does Option 1 pay? ¿Cuánto interés paga la opción 1? \square How much interest does Option 2 pay?

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Problem 9193

What are the coordinates of RR^{\prime} for the dilation D(0.5,P)D_{(0.5, P)} ( PQRS)\left.\square P Q R S\right) ? ( 3 pts.)
3 \square 4 \square )

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Problem 9194

1) assume that you bought a stock for $50\$ 50. If you sold the stock for $60\$ 60 and you got $2\$ 2 divider What was your annual return?

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Problem 9195

Cost, Revenue, and Profit You decide to begin selling bags of peanuts at the local star wars convention. Your cost for each bag of peanuts is $0.90\$ 0.90 plus you have to pay a fee of $120\$ 120 each week for the booth. Your plan is to sell each bag of peanuts for \$2.83.
Note that in business, costs are any money you pay out. Revenue is any money you receive through sales. Profit is total revenues minus total costs.
1. Write a function, C(n)C(n), to represent your total costs for the week if you sell nn bags of peanuts. C(n)=C(n)= \square
2. Revenue is the amount of money you earn from selling bags of peanuts. Write a function, R(n)R(n), to represent the revenue from the sale of nn bags of peanuts during the week. R(n)=R(n)= \square
3. Write a function, P(n)P(n), that represents the profits for selling nn bags of peanuts in a given week. Recall that profit is found by subtracting costs from revenue, i.e., P(n)=R(n)C(n)P(n)=R(n)-C(n). P(n)=P(n)= \square
1. What is the xx-coordinate of the break even point? Write your answer as a whole number. \square
2. Complete the following sentence to explain the meaning of your previous answer:

In order not to lose money, I need to sell at least \square bags of peanuts Submit Question

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Problem 9196

You go to the doctor and he gives you 15 milligrams of radioactive dye. After 12 minutes, 8 milligrams of dye remain in your system. To leave the doctor's office, you must pass through a radiation detector without sounding the alarm. If the detector will sound the alarm if more than 2 milligrams of the dye are in your system, how long will your visit to the doctor take, assuming you were given the dye as soon as you arrived? Give your answer to the nearest minute.
You will spend \square minutes at the doctor's office.

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Problem 9197

Jelissa and Yari are both computing the product of 0.05 and 0.3. Their work is below: \begin{tabular}{|c|c|} \hline Jelissa's Work & Yari's Work \\ \hline5100×310=151000\frac{5}{100} \times \frac{3}{10}=\frac{15}{1000} & 0.05×100=50.05 \times 100=5 \\ & 0.3×10=30.3 \times 10=3 \\ & 5×3=155 \times 3=15 \\ & 15÷1,000=0.01515 \div 1,000=0.015 \\ \hline \end{tabular} a. Explain the similarities shown in Jelissa and Yari's work. b. Explain the differences shown in Jelissa and Yari's work.

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Problem 9198

Researchers want to test a new anti-unxicty medication. They split participants into three conditions (0mg,50mg(0 \mathrm{mg}, 50 \mathrm{mg}, and 100 mg)), then ask them to rate their anciety leyel on a scale of 1-10. Compute the value of the tes suatistic. A) F=96.33F=96.33 B) F=86.33F=86.33 C) F=77.33\mathrm{F}=77.33 D) F=67.33\mathrm{F}=67.33 \begin{tabular}{|l|l|l|} \hline Omg & 50 mg & 100 mg \\ \hline 9 & 7 & 4 \\ \hline 8 & 6 & 3 \\ \hline 7 & 6 & 2 \\ \hline 8 & 7 & 3 \\ \hline 8 & 8 & 4 \\ \hline 9 & 7 & 3 \\ \hline 8 & 6 & 2 \\ \hline \end{tabular}

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Problem 9199

1. Katherine works no more than 20 hours each week. Babysitting earns her $8\$ 8 an hour anc working as a hostess earns her $10\$ 10 per hour. She needs to earn at least $180\$ 180 each week to save for the car she wants. Write and solve a system of linear inequalities that displays all possible combinations of hours she could work at each job to reach her goal. x=x= number of babysitting hours y=y= number of hostessing hours

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Problem 9200

545-4 Standardized Test Prep
Point-Slope Form Multiple Choice For Exercises 1-5, choose the correct letter.
1. Which equation is equivalent to y6=12(x+4)y-6=-12(x+4) ? A. y=6x48y=-6 x-48 C. y=12x42y=-12 x-42 B. y=6x48y=6 x-48 D. y=12x54y=-12 x-54
2. Which point is located on the line represented by the equation y+4=5(x3)?y+4=-5(x-3) ? F. (4,5)(-4,-5) G. (5,4)(-5,-4) H. (3,4)(3,-4) I. (3,4)(-3,4)
3. Which equation represents the line that passes through the points (6,3)(6,-3) and (4,9)(-4,-9) ? A. y+4=35(x+9)y+4=-\frac{3}{5}(x+9) C. y3=35(x+6)y-3=\frac{3}{5}(x+6) B. y+4=53(x+9)y+4=\frac{5}{3}(x+9) D. y+3=35(x6)y+3=\frac{3}{5}(x-6)
4. Which equation represents the line shown in the graph? F. y=3x2y=-3 x-2 G. y=3x+2y=3 x+2 H. y+4=3(x2)y+4=-3(x-2) l. y+8=3(x2)y+8=-3(x-2)
5. The population of a city increases by 4000 people each year. In 2025 , the population is projected to be 450,000 people. What is an equation that gives the city's population pp (in thousands of people) xx years after 2010? A. p=4x+450p=4 x+450 C. p15=4(x450)p-15=4(x-450) B. p450=4(x15)p-450=4(x-15) D. p=4x+15p=4 x+15

Short Response
6. The table shows the cost of a large cheese pizza with additional toppings on it. a. What is an equation in point-slope form that represents the relationship between the number of toppings and the cost of the pizza? \begin{tabular}{|c|c|} \hline Toppings & Cost (\$) \\ \hline 2 & 10.50 \\ \hline 3 & 11.75 \\ \hline 5 & 14.25 \\ \hline \end{tabular} b. What is the graph of the equation?

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