The data below was obtained from a random survey of 402 people. The participants were asked their political party and whether they approve, disapprove, or have no opinion of how the president is doing his job. The results of the survey are as follows

Democrat Republican Independent Total 173 5 Approve 9474 71 89 27 190 Disappr 14 174 2 55 21 402 193

If a person if selected at random, what is the empirical probability that the the person approves of the job the president is doing or is an independent?

The probability that the the person approves of the job the president is doing or is an independent is 0.47.

Step-by-step explanation:

The formula to compute the probability of event A or B is:

P (A ∪ B) = P (A) + P (B) - P (A ∩ B)

The data provided is shown in the table below.

The probability of a person approving the job the president is doing is:

The probability of a person belonging to the Independents is:

The probability of a person approving of the president and belonging to the Independents is:

Compute the probability that the the person approves of the job the president is doing or is an independent as follows:

Thus, the probability that the the person approves of the job the president is doing or is an independent is 0.47.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950