Election day is less than a month away, and political analysts are focused on the races for two statewide political offices. according to a recent poll, in the race for governor, 40% of voters support the republican candidate and 53% of voters support the democratic candidate. in the race for attorney general, 61% of voters support the republican candidate and 37% of voters support the democrat. assume that voter preference of candidate for each of the two offices is independent of each other. what is the probability that a randomly selected voter supports both the democratic candidate for governor and the democratic candidate for attorney general?

0.1961

Step-by-step explanation:

Since these two probabilities are independent of each other, we can simply multiply them.

The probability that a voter will support the Democratic candidate for governor is 0.53.

The probability that a voter will support the Democratic candidate for attorney general is 0.37.

This makes the probability that a voter supports both Democratic candidates 0.53(0.37) = 0.1961.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: