Directions:

1.Solve the following problems.Hand write your solutions and explanations on your own paper following the directions in the Canvas assignment.

2.Show your work AND explain your reasoning using complete English sentences.

3.Take a picture of your solution and explanation and save the image as a pdf.

4.Turn in your solutions by submitting it for peer review in the correct Canvas assignment.

1.500 people are surveyed and asked to check the boxes that apply to them.

I am confident in the economy.

I have health insurance.

321 said they were confident about the economy, 403 said they had health insurance, and 63 checked neither box.

a.[3 pts]Draw an accurate Venn diagram that represents the situation consisting of cardinalities.

(Grade breakdown:.5 each for correct answer, correct work, and labeling for calculated regions)

b.[1 pt]How many people had health insurance and were not confident in the economy?

(Grade breakdown:.5 answer; .5 for reasoning)

c.[1 pt]How many people have health insurance or are confident in the economy?

(Grade breakdown:.5 answer; .5 for reasoning)

2.Using the digits 0 through 9, find out how many 4-digit numbers can be configured based on the stated conditions:

a.[1 pt]The number cannot start with zero and no digits can be repeated.

(Grade breakdown:.5 answer; .5 for reasoning)

b.[1 pt]The number must begin and end with an odd digit.(Repeated digits are okay.)

(Grade breakdown:.5 answer; .5 for reasoning)

c.[1 pt]The number must be at least 5000 and be divisible by 10. (Repeated digits are okay.)

(Grade breakdown:.5 answer; .5 for reasoning)

d.[2 pt]The number must be less than 3000 and must be even.No digits may be repeated in the last 3 digits.(That is, 2234 would be okay, but 2334 would not be okay.)

(Grade breakdown:1 answer; 1 for reasoning)