Permutations and Combinations Questions and Answers

State rate 2 93 1 Nevada 2 Arizona 2 81 3 Utah 2 55 4 Idaho 2 43 5 Georgia 2 17 Sounc U S Census Bureau in thousands 2 565 6 339 2 645 1 499 9 545 rate in thousands 0 08 19 298 0 08 621 11 467 10 072 1 058 State 46 New York 47 Vermont 48 Ohio 0 03 49 Michigan 0 30 50 Rhode Island 0 36 The table lists the states with the highest and with the lowest population growth rates Use the model P P 1 r where P is the population from the table as of July 2007 x is number of years after JL 2007 P is the projected population ailid r is the growth rate In how many years will the population of Michigan decrease by 1 million Round to the nearest whole num The population will decrease by 1 million years after July 2007 Hint Don t forget to convert the rate to the nearest whole number

For problems 11 13 perform th 11 n 9n 18 4n 4n 24

Write the point slope equations given the point 10 4 and a slope of 2 5

What is the solution set of the equation below 6 x 6 T S 16 r 6x Type your answer in the box provided If your answer is a fraction type it as a decimal to the nearest ter

Fill in the blank with an ap Millimeters mm are a me

S In Year 1 Kim Company sold land for 106 000 cash The land had originally cost 60 000 Also Kim sold Inventory that had cost 190 000 for 294 000 cash Operating expenses amounted to 38 000 Required a Prepare a Year 1 multistep Income statement for Kim Company b Assume that normal operating activities grow evenly by 27 percent during Year 2 Prepare a Year 2 multistep Income statement Kim Company c Determine the percentage change in net Income between Year 1 and Year 2 d Should the stockholders have expected the results determined in Requirement c Complete this question by entering your answers in the tabs below Req A Req B Req C and D Prepare a Year 1 multistep income statement for Kim Company Expenses KIM COMPANY Income Statement For the Year Ended December 31 Year 1

Find the domain of the function f x 7x 8x 5 The domain is a E

In a random sample of four mobile devices the mean repair cost was 70 00 and the standard deviation was 13 50 Assume the population is normally distributed and use a t distribution to find the margin of error and construct a 90 confidence interval for the population mean Interpret the results The 90 confidence interval for the population mean u is 0 Round to two decimal places as needed

The height of women ages 20 29 is normally distributed with a mean of 64 7 inches Assume o 2 6 inches Are you more likely to randomly select 1 woman with a height less than 67 1 inches or are yo more likely to select a sample of 9 women with a mean height less than 67 1 inches Explain Click the icon to view page 1 of the standard normal table Click the icon to view page 2 of the standard normal table What is the probability of randomly selecting 1 woman with a height less than 67 1 inches

Let f x 1 and h x X graph of f x the blanks to make true statements about the relationships of the graphs of f x and h x The graph of h x is a translation of units units left right I 5 up x 3 and Fill in of the down

termine the minimum of the appropriate yellow interval Y in s for a signal phase under the following conditio min approach speed limit 45 mi h approach grade 3 6 downgrade assumed perception reaction time 1 0 sec assumed deceleration rate 11 2 ft sec assumed average vehicle length 20 ft width of intersection to be crossed 56 ft

3x 2x 1 What are the equations of the asymptotes of the graph of the function f x x 3x 10 O x 5 x 2 and y 3 O x 2 x 5 and y 3 Ox 3 y 5 and y 2 Ox 3 y 2 and y 5

7 4x 6 3 x 111 24 23 22 21 20 19 18 17 16 15 14 13 12

2 3 6 b 4b4b 134 3 2 1 0 1 2 3 4 5 6 7

The line graph shows the average proton speed in kilometers second km s measured in the solar wind by Earth orbiting satellites at the start of each hour over a period of time beginning on May 20 per 2014 km s speed Average proton 350 340 330 320 310 2 00 a m 4 00 a m 6 00 a m A 345 B 338 C 330 D 314 8 00 a m 10 00 a m 2 00 p m 12 00 p m 4 00 p m Time 6 00 p m 8 00 p m 10 00 p m 2 00 a m 12 00 a m According to the line graph what was the average proton speed in km s at 4 00 a m

A fair number cube has faces labeled 1 through 6 If a student rolls the cube once what is the probability of rolling a 2 A B C D 9 9 6 516216 16

10 B 1 b The given equation is use relate the following varia system b C B 0 H Proportion c political part Proportion a political part Per capita rec party B Per capita rec between parti Rate voters er voting system

How many solutions does the equation 3x 4x 5 7x 3 2 have A Zero B Exactly one C Exactly two D Infinitely many

Find the slope of the line graphed below e

1 Rewrite the following statement formally using quantifiers and variables and write a negation for the statement as well If some people go skiing some legs will get broken

1 tan x in x cos x sec x csc x sec x or sec x csc x 1

Let U 9 8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 be the universal set Let A n e Zn 3 B 6 4 2 0 2 4 6 and C 5 3 1 1 3 5 Match each of the following sets Use each choice only once 00 B A 1 9 2 6 4 4 6 3 2 0 2 n BU C 4 6 5 4 3 3 4 5 6 5 5 3 3 5 6 5 3 2 1 0 1 2 3 5 AUC C A BUC An B 8 7 7 8 9

Find the slope of the line 3 2 1 Slone 5 4 3 2 1 1 ON h 3 4 5 1 2 m

Find the slope of the line 7 6 5 4 3 2 T 7 6 5 4 3 2 1 1 2 3 4 5 6 7 De 3 4 5 6 7

0 a Complete the following table for the intercepts using equation abc y zy b Plot the line using the intercepts you found in the table above 5 4 3 2 1 6 5 4 3 2 1 1 2 3 4 5 0 2 10 5 2 3 4 5 6

Find the x and y coordinates of the following labeled points R Do not use spaces Example 1 2 R 4

Question 3 of 60 Simplify the following expression O da o de 05c3d Next Reset

In an arithmetic se The term 18 is the Simplify your ans

Use the given functions fand g to find f g f g fg and f g State the domain of each Enter your answer for the domain in interval notation f x x 2x 8 g x x 2 1 f g domain 2 f g domain 3 fg domain 4 f g domain

What is the biggest x on the interval 0 2pi 32cos x gcos2x 4

11 27 3P 243 p 2

Let Y be a Bernoulli random variable with success probability Pr Y 1 p and failure proba bility Pr Y 0 1 p Let Y Y2 Y3 be i i d draws from this distribution n 3 Find the sampling distribution of Y Yi Y2 Y3

A baseball is hit so that its height in a How high is the baseball after 1 b Find the maximum height of the a The height of the baseball after Type an integer or a decimal b The maximum height of the ba Type an integer or a decimal

tion 1 of 8 Step 1 of 1 the perimeter of a triangle wit

Feb 27 2 14 34 PM Watch help video Oliver invested 53 000 in an account paying an interest rate of 2 7 compounded daily Assuming no deposits or withdrawals are made how much money to the nearest cent would be in the account after 20 years Answer

Let 27 If sin Show Transcribed Text If sec A and tan 0 What is the value of cos and sin A 0 what is the exact value of sin 4A Show Transcribed Text 3

1 point A chair manufacturer finds that it costs 12325 dollars to manufacture 280 chairs and 21325 dollars to manufacture 520 chairs in one day including all costs associated with the factory and the manufacturing process Express the cost C x to manufacturex chairs assuming that it is a linear function C x mx b What are the fixed daily costs associated with the manufacuring process even if no chairs are made 37 5 cost to make each chair aside from the fixed costs 1825 How much does it

Use the slope intercept form to graph the equ

Solve the following system of equations using the Gauss Jordan method 15x 15y z 13 9x 25y 2z 69 12x 15y z 22 Select the correct choice below and if necessary fill in the answer boxes to complete your choice O A This system has exactly one solution The solution is Type an exact answer in simplified form OB This system has infinitely many solutions of the form z where z is any real number Type expressions using z as the variable

2017 2017 x 2017 2018 2017x 4a Solve equation 2017x

Evaluate the expression without usin 32 5

Write as a single logarithm Choose all statements that are true about the answer 1 In a 2 In b In c Select one or more a There is a b in the denominator Ob The numerator has an a c The denominator has vc Od The numerator has vc

Use natural logarithms to solve Round to three decimal places In 3x 6 KERNGE ATATOROLA SHITER DEDELING MAHARSH AMBEBA Mohamente estr Plinienn UNIVER draps ANGRAVER GALATASE devel MENSAIS n the HERON

5 4v 19v 21 v 3

E 1 Graphs Determine whether the graph represents a function If it does rep a function give its domain and range What is the domain Select the correct choice below and if ne the answer box to complete your choice OA Type an inequality or a compound inequality B The domain is all real numbers OC The graph does not represent a function the correct choice below and if n

Combine and simplify if possible X x x 20 5 x x 20

a Rewrite 8 2 without using negative exponents b Rewrite 10 2 without using negative exponents c Rewrite 11 2 without using negative exponents

A can of soda is placed inside a cooler As the soda cools its temperature 7 x in degrees Celsius is given by the following function where x is the number c minutes since the can was placed in the cooler T x 2 22e 0 03x Find the temperature of the soda after 8 minutes and after 20 minutes Round your answers to the nearest degree as necessary Temperature after 8 minutes C Temperature after 20 minutes c 2

6 5 N 1 4 3 2 2 rise 6 0 0 5 run 1 4 Return this question to its initial state Give an equation for this line 2 0 3 Graph the line that passes through the point 1 4 with a slope of 9 st 01 6

Determine whether or not the graph represents a function Be prepared to justify your answer using the definition of a function N The graph DOES represent a function The graph DOES NOT represent a function