Questions

4 y 2x 6 y 3x 7

Solve each system x y by substitution 5 y 2 y 4x 2

e of the solution to each system 2 y 3x 5 y 4x 7

3 y 4x 12 y 2x 4

Find the equation of the curve that passes through 2 3 if its slope is given by the following equatic dy dx y x 3x 4

Decide whether you can use the normal distribution to approximate the binomial distribution If you can use the normal distribution to approximate indicated probabilities and sketch their graphs If you cannot explain why and use the binomial distribution to find the indicated probabilities A survey of adults found that 9 say their favorite sport is auto racing You randomly select 400 adults and ask them to name their favorite sport Complete parts a through d Determine whether a normal distribution can be used to approximate the binomial distribution Choose the correct answer below OA No because nq 5 B Yes because both np 25 and nq 25 OC No because np 5 a Find the probability that the number of people who say auto racing is their favorite sport is at most 42 Round to four decimal places as needed

Describe how genes are regulated in plant at the level of transcription addressing gene families arising from duplication and increased ploidy versus orthologs in different plants functional redundancy versus diversification mechanisms of controlling genes in the same pathway for transcription activation and inactivation

A polynomial function f x with integer coefficients has a leading coefficient of 3 and a constant term of 4 According to the Rational Root Theorem which of the following are possible roots of f x 4 314 2 4

Use the table below with selected values of the twice differentlable function k Reach each explanation and decide whether you would apply IVT EVT or MVT X K x I 5 2 2 3 4 4 4 applies 5 3 6 2 7 O 6 Since k is differentiable it is also continuous Since k 6 2 and k 7 0 and since I is between 2 and O It follows by that K c 1 for some c between 6 and 7 7 Since k is differentiable and therefore also continuous and since 3 k 2 6 it follows by that k c 6 for some 3 2 c in the interval 2 3 8 There must be a minimum value for k at some r in 1 7 because k is differentiable and therefore also continuous Hence the q There must be some value a in 2 6 for which k a 0 because k 2 k 6 and since k is differentiable the applies 10 Since k is differentiable the guarantees some a in 4 5 for which k a 4 and also some b in 5 6 for which k b 1 Then since k is differentiable and therefore also continuous it follows by the applied to k that k c 0 for therefore in 46

ules mountain bikes The research department produced the marginal cost function C x 300 Compute the increase in cost going from a production level of 450 bikes per month to 900 bikes per month Set up a definite integral and evaluate it 0 x 900 where C x is in dollars and x is the number of bikes produced per month X 3 The increase in cost is XX

2 The gene for coat color in a species has three alleles The 8 allele codes for brown coloring The W allele codes for white coloring The B allele codes for black coloring Examine the illustration of the gene pool for a population of this species B W B B 8 B W W W W 8 B c How many copies of the B allele are present in the gene pool What is the frequency of the B allele Show your work 3 points I

5 f x on 3 5 x 2

A population has a mean 72 and a standard deviation G 30 Find the mean and standard deviation of a sampling distribution of sample means with sample size n 233 H Simplify your answer Type an integer or decimal rounded to three decimal places as needed

Find the particular antiderivative of the following derivative that satisfies the given condit dR 27 dt 14 1 R 1 57

The population mean and standard deviation are given below Find the required probability and determine whether the given sample mean would be considered unusual For a sample of n 65 find the probability of a sample mean being greater than 218 if u 217 and o 3 5 For a sample of n 65 the probability of a sample mean being greater than 218 if u 217 and o 3 5 is Round to four decimal places as needed Would the given sample mean be considered unusual The sample mean be considered unusual because it of the mean of the sample means within the range of a usual event namely within

b sin x dx

What is the total area under the normal curve Choose the correct answer below OA It depends on the mean B It depends on the standard deviation OC 0 5 OD 1

1 Your answer is partially correct A sample of 400 large companies showed that 150 of them offer free health fitness centers to their employees on the company premises Enter the exact answers a If one company is selected at random from this sample what is the probability that this company offers a free health fitness center to its employees on the company premises Probability i 150 400 b What is the probability that this company does not offer a free health fitness center to its employees on the company premises Probability i c Do these two probabilities add to 1 0 350 400

For the standard normal distribution shown on the right find the probability of z occurring in the indicated region Click here to view page 1 of the standard normal table Click here to view page 2 of the standard normal table The probability is Round to four decimal places as needed A 0 07

Assume a member is selected at random from the population represented by the graph Find the probability that the member selected at random is from the shaded region of the graph Assume the variable x is normally distributed The probability that the member selected at random is from the shaded area of the graph is Standardized Test Composite Scores 27 x 32 Score H 21 4 G 5 1 27 32 Round to four decimal places as needed O G

Use a table of cumulative areas under the normal curve to find the z score that corresponds to the given cumulative area If the area is not in the table use the entry closest to the area If the area is halfway between two entries use the z score halfway between the corresponding z scores If convenient use technology to find the z score 0 052 Click to view page 1 of the table Click to view page 2 of the table The cumulative area corresponds to the z score of Round to three decimal places as needed

Where does the graph of the function h z 272 125 cross the z axis B C 2 1 1

Find the second and third derivative of the following functi 1 y 12x6x7 17x5 6x4 24x 2 y 2x x 5x5 FAI PHIL 3 y 3 sin 2x 4 y 3x512x 13x 53 analysiskhan240 gmail com

In 1 6 Find the measure of the missing angle Drawings are not to scale 1 2 97 X 130 130 54 71 112 48 3 110 128 135 118

that OM ON dy 2 Foot SFyjdy where e

In 13 16 Find the measure of each missing angle 13 110 y 100 87 14 85 92 98

Organize the steps to solve the given equation 3 x 5 29 10 Subtract 14 from each side Subtraction Property Distribute 3 to the binomial expression Distributive Property Divide both sides by 3 Division Property Combine like terms on the left side of equation Simplify

In 10 12 The following polygons are regular polygons find the measure of each exterior angle 10 12 A regular 50 gon 11 A regular 18 gon

4 5 160 100 91 80 6 124 150 93 130

UD and radius EA AB is tangent to Eat A If AB answer to the nearest tenth if necessary If the answer cannot be determined click Cannot be determined 12 and EB 13 solve for EA Round your Answer Attempt 1 out of 2 T

A real estate agent has 17 properties that she shows She feels that there is a 40 chance of selling any one property during a week The chance of selling any one property is independent of selling another property Compute the probability of selling more than 2 properties in one week Round your answer to four decimal place

The movement of the pro Match the expression on the left with its simplified form on the right Answer options on the right may be used more than once 1 31 3 31 131 131 3

d What fallacy is in evidence here Mom I think Michael Jackson is the best pop musician ever Dad Are you nuts He was a child molester

c Write a true sentence in conversational English that you would symbolize as All Pare Q Say explicitly what P and Q mean

c What fallacy is in evidence here Cashier Would you like to round up to the next dollar to help prevent birth defects Customer Not today Cashier Oh so you think babies should have birth defects i

71 Find each value requested for the set of scores in the following frequency distribution table a n Score f 5 1 c EX

d d b d V rVp

A polynomial function g x with integer coefficients has leading coefficient of 1 and a constant term of 18 According to the Rational Root Theorem which of the following are possible roots of g x 18 9 1 1

8 a Give an example of a slippery slope fallacy b Give an example of an inappropriate appeal to authority fallacy 19

5 Let set A be the set of even integers strictly between 12 and 19 and let B be the set of integra greater than 15 and less than or equal to 20 If the universe of discourse is the set of integers that are at least 10 and at most 25 find the following a A b B c An B d AUB

Find the area of the shape Hint Use the moving and additivity principles Figure 12 10 4 5 meters A wiggly shane 1 meter

3x 9x 12x x 3x 28 HACI R 6 D X

Instruction Using the information from the characters below name each alien species based on their characteristics A D G B E H F

Solve the following equation for x Show all work 32x 27 2x 1 X D BIUS X x Font Size Q A A

2 x 9x 20 9x 12x 4

Question 1 5 Select the pair below which shows the correct conversion from logarithmic form to exponential form O log x 9 and 2 9 log x and 2 92 9x 9 and x 2 O log x O log x 9 and 9 9 and x 9 2x

A certain type of bacteria increases according to the model P t 300e0 75t where t is the time in hours and 300 represents the amount of cells that were originally present Part A Which number in the equation indicates the growth rate 300 e 0 75 time Part B Calculate the approximate number of cells that will be present after 6 hours 300 635 14 000 27 000

16x 16x 3x x 9x 18 2 6x 13x 6

An object is launched off a 215 foot platform If the object was launched at 135 feet per second determine how long it will take for the object to hit the ground ROUND YOUR ANSWER CORRECTLY TO THE NEAREST TENTH Type a response

Which graph represents the function 1 x 2