Questions

If In x 3 write x using the exponential function x

Solve the following equation for x 1 In 1 x 2

Simplify the following expression e 3 In 2

Solve the following equation for x 3ex 8 4 0

Simplify the following expression eln x In 9

Nex Solve the following equation for x In x 3 x Type an exact answer Use a comma to separate answers as needed

Simplify the following expression e9 Inx

2 Which of the answer choices below makes both equations in the system tru a 3 1 b 0 2 c 1 2 d 2 4 x y 2 3x 4y 5 3x 4y C

Simplify the following expression In e 4

What is the result of adding these two equations 2x 7y 4 2x 8y 2

Find the indicated z score The graph depicts the standard normal distribution with mean 0 and standard deviation 1 The indicated z score is

ind the area of the shaded region The graph depicts the standard normal distribution of bone density scores with mean 0 and tandard deviation 1 The area of the shaded region is Round to four decimal places as needed z 0 85 z 1

If V Span 3 2 1 7 0 1 find a matrix A that has V as its row space Find a matrix B that has V as its nullspace

Use long division to divide Express any numbers as integers or simplified fractions r 5x 8x 17x 21 x 3

What is the result of subtracting the second equation from the first 4x 2y 2 x 2y 9 TE

1 What is the solution to the syst equations below 3x y 2 2x 2y 12 A 1 5 B 6 0 C 2 4 D 3 3

3 Select the solution to the system of equations shown below a 1 9 b 3 1 c 7 4 d 3 1 2x y 7 3x 4y 5

6 Challenge what is the value for x in the system of equations below 3y 2x 8 4x 2y 16 A 1 B 2 C 3 D 4

2 What is the solution to the system of equations below y 4x 5 3y 2x 5 A 2 3 B 2 4 C 1 9 D 3 2

3 What is the solution to the system of equations below x y 4 2y x 4 A 6 2 B 4 0 C 2 2 D 8 4

4 Which ordered pair represents the intersection point of the system of equations shown below a 2 3 y 2x 4 3y 2x 20 b 6 8 c 2 8 d no solution

What is the result of adding these two equations 2x 3y 5 5x y 12

Use the functions fand g in C 1 1 to find f g f g and d f g for the inner product f g f x g x dx f x 1 g x 4x 1 a f g b fl c g d d f g

Graph the function 1 for 3 x 2 f x 1 3 for 2 x 1 for 1 x 2

Find u v u v and d u v for the given inner product defined on Rn u 12 5 v 15 8 u v u v a u v b c u

Are f and g orthogonal in the inner product space C a b with the inner product O Yes b f g flx f x g x dx C n 2 2 f x sin x g x COS X O No

There is a 0 99967 probability that a randomly selected 29 year old female lives through the year An insurance company wants to offer her a one year policy with a death benefit of 900 000 Ho much should the company charge for this policy if it wants an expected return of 600 from all similar policies The company should charge Round to the nearest dollar

There is a 0 99967 probability that a randomly selected 29 year old female lives through the year An insurance company wants to offer her a one year policy with a death benefit of 900 000 Ho much should the company charge for this policy if it wants an expected return of 600 from all similar policies The company should charge Round to the nearest dollar

In ANOP p 870 cm m N 127 and m 0 30 Find the length of n to the nearest centimeter

1 2 3 4 5 6 7 8 Evaluate at x 3 g x 13 1 2e 7x 10 44 8 56 002 17 81 none of these 1

1 2 3 4 5 6 1 Evaluate 76 3e 1 1 0 9342 20 0855 3 2113 9 6338 1 1667

a11 a12 Let A 221 222 and B b11 b12 b21 b22 be matrices in the vector space M2 2 Determine if the function defines an inner product on M2 2 Select all that apply A B a1b11 a12b12 a21b21 a22b22 Osatisfies A B B A Odoes not satisfy A B B A Osatisfies A B W A B A W Odoes not satisfy A B W A B A W Osatisfies c A B CA B Odoes not satisfy c A B CA B Osatisfies A A 2 0 and A A 0 if and only if A 0 does not satisfy A A 0 and A A 0 if and only if A 0

11 IF x X2 5 Check Answer f x 2x and g x find fog 3 Type a response 20 24 Kuta Software LLC A 11 rights reserved Find the inverse of each function 12 f x 3 3 3 3 X A x x 3 B x 3 3 x 1 1 13 2 x 3 A x 3 B x x 2 2 3 2 x 1 2 zoom in 1

Use the inner product p q aobo ab a2b2 to find p q pl a and d p q for the polynomials in P2 p x 1 x q x 1 x a p q b p c a d d p q W

X 9x 28 Let f x and g x x 7 x 9x 14 Perform the following operation Simplify your answer f g x where x

Find the vector v with the given length and the same direction as u V v 3 u 0 1 1 3 3 0 II 3 11 11 9 11

4x 5y 38

K Which of the following is not a requirement of the binomial probability distribution Choose the correct answer below OA The procedure has a fixed number of trials OB Each trial must have all outcomes classified into two categories OC The trials must be dependent D The probability of a success remains the same in all trials

Verify the Cauchy Schwarz Inequality for the vectors u 8 3 v 5 2 Calculate the following values u v Iv We draw the following conclusion Since Ju v Select u V we Select verify that the Cauchy Schwarz Inequality for the vectors hol

Determine whether the following procedure results in a binomial distribution or a distribution that can be treated as binomial by applying the 5 guideline for cumbersome calculations If it is not binomial and cannot be treated as binomial identify at least one requirement that is not satisfied The Senate members of the 116th Congress include 75 males and 25 females Forty different senators are randomly selected without replacement and the gender of each selected senator i recorded Choose the correct answer below OA It is binomial or can be treated as binomial B It is not binomial because the experiment is not performed a fixed number of times OC It is not binomial because there are more than two mutually exclusive outcomes for each trial D It is not binomial because the selections are not independent The 5 guideline for cumbersome calculations should not be used

of five dying table which describes the number of adults in groups of five who reported sleepwalking Find the mean and standard deviation for the numbers of sleepwalkers in Click the icon to view the data table The mean is sleepwalker s Round to one decimal place as needed The standard deviation is sleepwalker s Round to one decimal place as needed Table of numbers of sleepwalkers and probabilities X012345 P x 0 179 0 363 0 309 0 114 0 033 0 002 X

K For the binomial distribution which formula finds the standard deviation Choose the correct answer below np O np O npq Onpq

Finding probabilities associated with distributions that are standard normal distributions is equivalent to finding the z scores associated with the probabilities finding the variance of the distribution finding the area of the shaded region representing that probability

Find all values of x so that the triangle with vertices A 4 4 x B 5 4 6 and C 7 2 8 has area 3 2

Find the distance between u and v u 0 2 1 v 1 4 1 d u v

The mean of a complete set of z scores will be 0 The SD of a complete set of z scores will be 1 Z scoring data from two different datasets puts them on the same magnitude and makes them easier to

Determine whether u and v are orthogonal parallel or neither u 2 20 v 5 1 O orthogonal O parallel O neither

Find the vector v with the given length and the same direction as u 3 u 0 1 1 3 V

Find the angle between the vectors 0 u 4 5 0 v 5 4 3 radians

Find u v and u v u 2 1 2 0 v 1 1 0 4 a u b v c u v