Permutations and Combinations Questions and Answers

Line 1 is given by y 10 NOTE Enter the exact answers 5 and point P has coordinates 30 11 6x a Find the equation of the line parallel to Line 1 that passes through point P b Find the equation of the line perpendicular to Line 1 that passes through point P

Approximate to three decimal places using a scientific calculator sin53 45

The function f x 3x 2x 3 has a 0 b 1 Oc 2 x intercepts

x x

Consider the function Step 2 of 2 Find the value of f a Answer f a f x 2x 4x 6

Simplify the alternating sum using the Binomial Theorem n 0 n 1 3 n 2 9 n 3 27 cdots 1 n n n 3 n A store sells 4 different kinds of T shirts of your size a In how many different ways can you buy ten T shirts b How many different combinations of ten T shirts will have at least one of each kind

Write a block version of the inner product form of cholesky s method

At a state fair there is a game where you throw a ball at a pyramid of cans If you knock over all of the cans you win a prize The cost is 3 thrown for 1 but if you have an armband you get 6 throws for 1 The armband costs 10 Write two cost equations for the game in terms of the number of throws purchased one without an armband and one with Graph the two cost equations on the same graph Be sure to label the axes and show an appropriate scale x Clear 20 15 Undo Redo

2 x AI 1 Z X

Determine a the slope of the line parallel to the line whose slope is perpendicular to the line whose slope is 3 5 3 5 and b the slope of the line

For a game a spinner with three equal sections labeled 1 to 3 is spun three tim Based on the outcome of the first spin what are all the possible outcomes of of winning based on the outcome of the first spin Move possible outcomes and a probability to the spaces to complete the tab Outcome of First Spin 1 2 Possible Outcomes of Second and Third S

Click on all the questions that are statistical que A What is the weight of each basketball B Why are there no roofs made of paper C At what time did the moon rise tonight D How strong is the rope that you are ho E How many pictures are in each of the

Researchers asked residents of a city about where they lived Dog No Dog Total 17 21 38 28 House Apartment 4 Total 21 24 45 66 The researchers concluded there was a positive associatio

Aaron plays on a baseball team and the probability The probability that Betty s team wins their next g

an of 19 Fast Food Drive Thru Accuracy If three different orders are selected find the probability that they are all from Wendy s 20 Fast Food Drive Thru Accuracy If three different orders are selected find the probability that they are all not accurate

A person was modeling a growing population with a growth factor of 1 5 using pennies They started with 4 pennies and flipped all 4 pennies For every penny that landed heads up another penny was added to the pile Then the new pile of pennies are all flipped and again for each one landing on heads another penny was added The process is repeated several more times Which of the below would the most reasonable number of pennies to be expected to be in the pile after pennies were added just after the 5th flip 6 pennies 14 pennies