Write an equation that can be used to solve the problem.

A bag contains 36 red blocks 48 green blocks 22 yellow blocks and 19 purple blocks You pick one block from the bag at random Find the theoretical probability Write your answer as a fraction in simplest form in the form a b P green or yellow

8 Suppose is the function given by f x 2 4x 3 Determine 30

Which sampling method puts the population into groups and then only selects sample members from a few of the groups Answer by typing the letter in front of each word Do not type the word A Stratified B Systematic C Simple Random D Cluster

Part 1 of 3 A study shows that water usage is normally distributed with an average shower using 17 8 gal with a standard deviation of 2 3 gal Find each 1 decimal answer The percent of showers that use between 10 9 and 24 7 gal Part 2 of 3 010 X The percent of showers that use more than 22 4 gal OC 15

Consider the following planes 5x y z 5 15x 3y 5z 25 e Find the engle in degrees between the two planes Round your answer to two decimal places 45 25 X b Find a set of parametric equations for the line of intersection of the planes Use t for the parameter Enter your answers as a comma separated list of equ x y 5 5z 5

15 through 4 4 and 0 3 17 through 2 4 and 1 3 16 through 0 4 and 1 4 18 through 0 4 and 0 1

5 Let X be the set of all different nine letter words that can be obtained by permuting the letters of the word AAABBCCCE How many elements does X contain In how many elements of X there are no neighbouring vowels terminology A E are vowel letters while B C are consonant letters

A homogenous system with two equations and three variables must hav infinitely many solutions Select one Of False

let W x x 1 x1 x2 are real numbers then W a subspace of R3 Select one O True

find value values of m will the system be inconsistent mx 1 m y 1 1 m x my 3 Select one O a m 1 2 b m 2 c m 1 2 d m 1