1)the converse, inverse, and contrapositive of the following proposition. Of these four propositions, state which pairs are equivalent.

If Jose has a family, then he has a father.

A. If Jose has a father, then he does not have a family.

B. If Jose does not have a family, then he does not have a father.

C. If Jose has a father, then he has a family.

D. If Jose does not have a father, then he does not have a family.

Identify the inverse. Choose the correct answer below.

A. If Jose has a father, then he does not have a family.

B. If Jose has a father, then he has a family.

C. If Jose does not have a father, then he does not have a family. D. If Jose does not have a family, then he does not have a father.

Identify the contrapositive. Choose the correct answer below.

A. If Jose does not have a father, then he does not have a family.

B. If Jose has a father, then he does not have a family.

C. If Jose does not have a family, then he does not have a father.

D. If Jose has a father, then he has a family.

Select all pairs of propositions that are logically equivalent.

A. Converse and inverse

B. Conditional and converse

C. Converse and contrapositive

D. Conditional and contrapositive

E. Inverse and contrapositive

F. Conditional and inverse

5) Explain whether the following argument is deductive or inductive.

I have never found mail in my mailbox on a Friday. The Postal Service must not have Friday deliveries.

A. The argument is inductive because the premise is general and the conclusion is specific.

B. The argument is deductive because the premise is specific and the conclusion is general.

C. The argument is deductive because the premise is general and the conclusion is specific.

D. The argument is inductive because the premise is specific and the conclusion is general.

7) Analyze the following situation and determine which decision would be the best decision to make. Explain your answer.

A man and his spouse are expecting a baby. Their current health insurance costs $118 per month, but doesn't cover prenatal care or delivery. They can upgrade to a policy that will cover their prenatal care and delivery, but their new premium will be $267 per month. The cost of prenatal care and delivery is approximately $3000.

A. They should keep their current policy because it costs $ ( ) for nine months, which is significantly less than the upgrade which costs ( ) for nine months.

B. They should upgrade to the new policy because the current policy costs $ ( ) for nine months, which is significantly more than the upgrade which costs $ ( )for nine months.

8) When must a single person who is claimed as a dependent by someone else file a tax return? Assuming a single person is not age 65 or older and not blind, that person must file a return if any of the following apply.

(i) unearned income was more than $900; or

(ii) earned income was more than $5450; or

(iii) gross income was more than the larger of $900 or your earned income (up to $5150) plus $300

Determine whether the following dependents (under age 65 and not blind) must file a return.

a. Maria had unearned income of $750, earned income of $5700, and gross income of $6450. Does Maria have to file a tax return?

A) No B) Yes

b. Van had unearned income of $200, earned income of $3000, and gross income of $3500. Does Van have to file a tax return?

A) No

B) Yes

c. Walt had no unearned income and had earned and gross income of $5400. Does

Walt have to file a tax return? A) No

B) Yes

d. Helena had unearned income of $200, earned income of $5200, and gross

income of $5500. Does Helena have to file a tax return? A) Yes

B) No

9) How much will a person pay for 1.6 pounds of bananas at a price of $ 2.36 per pound?

The price the person will pay is ( ) ( Pounds / dollars)

11) You plan to take a 1476-mile trip in your car, which averages 24 miles per gallon. How many gallons of gasoline should you expect to use? Would a car that has only half the gas mileage require twice as much gasoline for the same trip? Explain.

You should expect to use about ( ) gallons of gasoline.

Would a car that has only half the gas mileage ( 12 miles per gallon) require twice as much gasoline for the same trip? Select the correct choice below and fill in the answer box to done with choice.

A. Yes; the car would use ( ) gallons, which is twice as many gallons.

B. No; the car would use ( ) gallons, which is not twice as many gallons.

C.

12) One cubic foot holds 7.48 gallons of water, and 1 gallon of water weighs 8.33 pounds. How much does 5.2 cubic feet of water weigh in pounds? In tons?

The weight in pounds is approximately ( ) lb. The weight in tons is approximately ( ) ton(s).

13) What is your average speed in miles per hour and in feet per second if you travel a mile in

22 minutes?

Your average speed in miles per hour is ( ) mile(s) per hour.

Your average speed in feet per second is ( ) feet(foot) per second.

14) Suppose you run 2 miles from your house to a friend's house at a speed of 6 miles per hour. When the time comes to return home, you are tired and walk the same 2 miles home at 2 miles per hour. Complete parts (a) through (d) below.

a. How long did you spend running to your friend's house? ( ) hours b. How long did you spend walking home? ( ) hours

c. Is it true that the average speed for the round trip is the average of 6 miles per hour and 2 miles per hour (which is 4.0 miles per hour)? (Hint: Did you spend more time traveling 6 miles per hour or 2 miles per hour?)

A. Yes, because less time is spent traveling 6 miles per hour. B. No, because less time is spent traveling 2 miles per hour. C. Yes, because more time is spent traveling 2 miles per hour. D. No, because less time is spent traveling 6 miles per hour.

d. What is your average speed for the round trip?

The average speed for the round trip is about ( ) miles per hour.

Compare A and B in three ways, where A = 1.2 million is the 2012 population of city X and B = 2.3 million is the 2012 population of city Y.

a. Find the ratio of A to B.

b. Find the ratio of B to A.

c. Complete the sentence: A is __ percent of B.

a. The ratio of A to B is ( ) b. The ratio of B to A is ( )

c. A is ( ) percent of B

16) Find the absolute change and the relative change in the following case.

The average sale of a house decreased from $331,000 in February 2008 to $163,000 in February 2013.

The absolute change is ( ) The relative change is ( ) %.

17) Between 2000 and 2015, the number of twin births in a certain country increased by 13%, to approximately 134,470. About how many twin births were there in 2000?

There were approximately ( ) twin births in 2000

18) Compare the numbers in each pair, and give the factor by which the numbers differ.

(a) 1038, 1027

(b) 1018, 1028

(c) 2 billion, 2 million

19) Find the scale ratio for the following map. 1 inch on the map represents 22 miles The scale ratio is ( ) to 1

20) Find the absolute and relative errors in the following situation. Your true height is 62.0 inches (5'2''), but a nurse in your doctor's office measures your height as 61.4 inches.

The absolute error is ( ) inches

The relative error is ( ) %

21) For the pair of measurements, state which one is more accurate and which one is more precise.

Your true height is 70.90 inches. A tape measure that can read to the nearest 1/16 inch gives your height as 70 9/16 c inches. A new laser device at the doctor's office that gives readings to the nearest 0.04 inch gives your height as 70.6 inches.

A. The laser device is more accurate and the tape measure is more precise. B. The laser device is both more accurate and more precise.

C. The tape measure is more accurate and the laser device is more precise. D. The masseur is both more accurate and more prices