Questions

What is the mean for the population of scores shown in the frequency distribution table X f 5 4321 123 4 2 O15 5 3 O 15 12 1 25 O 32 12 2 67 32 5 6 60

Which of the following actions will always change the value of the mean O Changing the value of one score O Removing a score from the distribution O Adding a score equal to the mean O Adding a new score to the distribution

Adding a new score to a distribution will always change the value of the mean True O False 4

Consider the following 5 4 3 domain range 1 y 5 4 3 2 1 1 2 3 Use the Vertical Line Test to determine OYes the curve is a function of x O No the curve is not a function of x 4 1 2 WebAssign Plot 3 4 5 whether the curve is the graph of a function of x If the curve is a function state the domain and range Enter your answers using interval notation If the curve is not a function enter NO Manter i X

Ecologists estimate that when the population of a certain city is x thousand persons the average level L of carbon monoxide in the air above the city will be L ppm parts per million where L 70 0 4x 0 0002x2 The population of the city is estimated to be x 752 23t 0 5t thousand persons t years from the present Find the rate of change of carbon monoxide with respect to the population of the city and the time rate of change of the population when t 2 How fast with respec to time is the carbon monoxide level changing at time t 2 MEKKEND What is the rate of change of carbon monoxide with respect to the population of the city 0 4 0 0004x Type an expression using x as the variable The population is increasing at the rate of thousand persons per year

Compute dy dx 3 2 and u 10x 3 using the chain rule formula for y u dy dx dy du du dx

When a company produces and sells x thousand units per week its total weekly profit is P thousand dollars where P the present is x 4 2t Find the marginal profit 1200 100 x 100 x 2 Type an expression using x as the variable dP dx dP dt Type an expression using t as the variable 1200x 100 x dP and the time rate of change of profit How fast with respect of time are profits changing when t 8 dx 15 KIREND dP dt The production level at t weeks fro

For problems 17 21 use the weighted voting system 25 22 12 6 3 and the Banzhaf definition of power The four players are P P2 P3 and P4 17 The weight of the coalition P2 P3 P4 is 17 A 25 B 22 C 21 D 40 E none of these 18 The number of winning coalitions is A 15 B 1 C 8 D 7 E none of these 19 Which players in the coalition P1 P2 are critical A P only B P1 and P2 C P2 only DNone of the plauora 18 19

In the weighted voting system 14 7 7 6 A P has all the power P2 and P3 are dummies B P1 and P2 have equal power P3 is a dummy C all three players have equal power D P1 and P2 have equal power P3 is not a dummy E none of these

or a certain casino slot machine the odds in favor of a win are given as 21 to 79 Express the indicated degree of likelihood as a probability value between U an clusive he probability is Round to two decimal places as needed

Ecologists estimate that when the population of a certain city is x thousand persons the average level L of carbon monoxide in the air above the city will be L ppm parts per million where L 70 0 4x 0 0002x The population of the city is estimated to be x 752 23t 0 5t2 thousand persons t years from the present Find the rate of change of carbon monoxide with respect to the population of the city and the time rate of change of the population when t 2 How fast with respect to time is the carbon monoxide level changing at time t 2 QUICHICHID What is the rate of change of carbon monoxide with respect to the population of the city Type an expression using x as the variable

The following function may be viewed as a composite function h x f g x Find f x and g h x 5x2 x 1 4 Choose the correct answer below OA f x 5x4 1 g x x x OB f x 5x2 x 1 g x x OC f x x4 g x 5x x 1 f x x2 x g x 5x 4 D

A sequence called the Lucas sequence is closely related to the Fibonacci sequence The Lucas sequence begins with the numbers L 1 and L 3 and then uses the same relation Ln 1 Ln Ln 1 to generate L3 L4 Complete parts a and b below a Generate the first ten Lucas numbers Use a comma to separate answers as needed EFE

Many relations in biology are expressed by power functions known as allometric equations of the form y kxa where k and a are constants The weight of a certain snake is approximately 448x grams where x is its length in meters If the snake has length 0 7 meters and is growing at the rate 0 3 meters per year at what rate is the snake gaining weight The rate at which the snake is gaining its weight is Simplify your answer Type an integer or a decimal grams per year

Ax After a company went public the price of one share of its stock on the stock market fluctuated according to the graph to the right The total worth of the company depended on the value of one share and was estimated 80 by the function below where x is the value of one share in dollars and W x is the total value of the company 70 in millions of dollars 60 50 40 30 20 10 0 14 8x 2 x W x 10 Complete parts a and b a Find the total value of the company when t 2 5 W million dollars Round to three decimal places as needed 0 1 2 3 4 t in months 7 8 5 6 10 C C L

A set of N 10 scores has a mean of u 50 If 20 points are added to one of the scores what is the new value for the population mean O 50 51 O 52 O 70

Problems 9 11 For an election with 4 candidates A B C and D we have the following preference schedule Number of voters 20 14 872 A C D CD B B B DA CDABB DACA C 9 When using Copeland s Method which candidate wins in the comparison between candidate A and candidate D 1st choice 2nd choice 3rd choice 4th choice A A B Neither it is a tie C Cannot be determined from the information given D D E none of these A 0 B 1 C 2 D 3 D When using Copeland s Method how many comparisons does candidate A win of these 9 10

A sample of n 6 scores has a mean of M 9 If one individual with a score of X 4 is removed from the sample the new mean will be M 10 O False True

If a negatively skewed distribution has a mean of 50 then the median and the mode are both probably greater than 50 O False True

Given f 1 1 f 1 7 g 1 3 g 1 4 f 3 13 and g 3 19 compute the derivative f g x dx x 1 Simplify your answer dx f g x lx 1

dy Compute using the chain rule State your answer in terms of x onl dx y 6 6 u x x8

L L 1 The property that defines the golden ratio is 1 O Yes L Complete parts a through b below a 1 b 1 c 1 Solve the quadratic equation L2 L 1 0 1 5 1 5 2 2 4 Simplify your answer Type an exact answer using radicals as needed Use a comma to separate answers as needed is one of the solutions of Lequal to the value of found previously

Compute ay dt t to x 2 X 2 X II o To to 3 dy dt t to Simplify your answer

A sample has n 5 scores 2 4 5 8 and 11 The median for the sample is 6 5 True O False

The graph of a piecewise defined function is given Write a definition for the function that best describ f x isxs Type the left piece of the function aph

When a company produces and sells x thousand units per week its total weekly profit is P thousand dollars where P 100 x at t weeks from the present is x 4 2t Find the marginal profit and the time rate of change of profit How fast with respect of time are profits changing when t 8 dP dx IL variable dP dx www dP dt The production level

For an election with four candidates A B C and D we have the following preference schedule Number of voters 15 11 9 6 2 A CD B C B B C D D C D B C B DAAAA 1st choice 2nd choice 3rd choice 4th choice 8 Since there is no majority winner use the Instant Runoff Voting IRV method to determine a winner Which candidate wins the election A A B B C C D D E none of these 8

Which of the following values cannot be probabilities 0 5 3 0 02 3 5 1 1 54 0 52 2 A 1 B 1 54 C 5 3 D 2 E 0 02 OF 0 G 0 52 H 3 5

Compute d f g x where f x x x2 and g x x2 8 dx

lysis of your own Choose a well known company or a local small business and perform a SWOT analysis on the company Do not choose Starbucks or Apple examples in this module Create the analysis in Word and use this simple four quadrant format Please title your document with the Name of the Company SWOT Analysis and make sure your name is on the document as well Give a brief paragraph 5 pts overview of the company it s location products or services and brief history Do a little research on your company of choice and determine at 3 4 specific points for each quadrant of the chart 10 points each Cite any sources used 5 pts W S

d f x Suppose that f x and g x are differentiable functions such that f 7 1 f 7 3 g 7 6 and g 7 4 Find dx g x f x dx g x ele 1x 7 Simplify your answer

Compute dy for y u 2 and u 8x 3 using the chain rule formula dx dy dy du dx du dx

dy Compute for y u 2 and u 8x 3 using the chain rule formula dx dy dy du dx du dx

A population has a mean of 30 If 3 points are added to each score what is the mean for the new distribution O 27 3 O 30 33

A sample of n 8 scores has a mean of M 10 After one score is removed from the sample the mean for the remaining score is found to be M 11 What was the score that was removed OX 8 OX 3 OX 7 O X 10

What is the Stress type Compression Tension or Shear What is the Strain type Elastic Plastic or Brittle What is the Fault type Normal Reverse Thrust or Strike

It is impossible for the value of the mode to be greater than the value of the mean O True O False W

For a severely skewed distribution the median often provides a better measure of central tendency than the mean True False

A researcher measures eye color for a sample of n 50 people Which measure of central tendency would be appropriate to summarize the measurements mean mode weighted mean median

A sample has a mean of M 40 If 10 points are added to one of the scores what happens to the sample mean O it is unchanged Oit increases O it decreases substantially O it decreases a little 4

A distribution of scores has a mean of 50 a median of 53 and a mode of 56 Based on this information it appears that the distribution is negatively skewed O False True

Find the numerical value of the expression CC

What is the mode for the following sample of n 8 scores Scores 0 1 1 1 2 2 3 3 O 1 5 01 3

A sample has a mean of M 86 If one new person is added to the sample and X is unchanged what effect will the addition have on the sample mean O The sample mean will decrease O The sample mean will increase a little O The sample mean will remain the same O The sample mean will increase substantially

For the scores in the following frequency distribution table the mean is about M 3 X f 4 3 2 1 4 2 False True 4

3 What do you see What is the Stress Compression Tension or shede What is the Strain type Elasto Plastic or Bris ELE What is the Fault type Normat Reverse Thruster Strike On outcrop in Nevada

In a sample of n 6 scores the smallest score is X 3 the largest score is X 10 and the mean is M 6 If the largest score is changed from X 10 to X 22 then what is the value of the new mean 4 O The mean is M 10 O The mean is still M 6 O The mean is M 7 O The mean is M 8

Let A denote the event of placing a 1 straight bet on a certain lottery and winning Suppose that for this particular lottery there are 1 944 different ways that you can select the four digits with repetition allowed in this lottery and only one of those four digit numbers will be the winner What is the value of P A What is the value of P A What is the value of P A P A Round to five decimal places as needed CULE

pi 4 Opi 6 OP 17 OR Express the exact length of each chord below RQ 17 BO 17 2 2 S 17 2 4 R L

Compute d f g x where f x x and g x x dx