Math 101 - Mathematics For Liberal Arts

4/30/2024

1. According to the American Red Cross, out of every 100 people in the United States, blood types and Rh factors occur at the rates shown in the table.

Blood Type	O+	O-	A+	A-	B+	B-	AB+	AB-
Occurrence	42	7	34	6	5	2	3	1

1(a) Of all people in the United States who have type B blood, what percent are Rh positive? (Round the answer to one decimal place.) % (b) Of all people in the United States who have type B blood, what percent are Rh negative? (Round the answer to one decimal place.) %

2. Joey and Dee Dee bowled five games at the Rock 'n' Bowl Lanes. Their scores are given in the following table.

Joey	147	174	223	161	150
Dee Dee	182	165	187	142	159

(a) Find the mean score of each bowler. (Round the answer to one decimal place.)

Joey	x	=
Dee Dee	x	=

(b) Find the standard deviation of each bowler's scores. (Round the answer to one decimal place.)

Joey	s	=
Dee Dee	s	=

3. Use the body table to find the specified z-number. (Round the answer to two decimal places.)

(a) z_0.4279 = (b) z_0.3980 = (c) z_0.3749 = (d) z_0.4951 =

4. Find the maturity value of $1,300 borrowed at 6 5/8% simple interest for 3 years. (Round your answer to the nearest cent.) FV = $

5. Find the present value that will generate the future value of $1,000 at 6% compounded yearly for 8 years. (Give your answer to the nearest cent.) P = $

6. Find the future value (FV) of the annuity due. (Round your answer to the nearest cent.)$185 monthly payment, 6.5% interest, 11 years

$

7. Investigate the effect of the interest rate on simple interest amortized auto loans by finding the monthly payment and the total interest for a four-year loan of $14,000 at the following. (Round all answers to the nearest cent.)

(a) 9.0%

Payment	$
Total interest	$

(b) 9.25%

Payment	$
Total interest	$

(c) 9.5%

Payment	$
Total interest	$

(d) 10.5%

Payment	$
Total interest	$

8. The managers of Prints Alive (a local silk-screening business) are planning a party for their 30 employees. There are three possible locations for the party: the warehouse (W), the park (P), or the beach (B). The employees are asked to rank these choices in order of preference, and the results are summarized in the table. Use the plurality method of voting to determine the winner.

the park

the beach

the warehouse

	Number of Ballots Cast
3	7	14	6
1st choice	P	P	B	W
2nd choice	B	W	W	B
3rd choice	W	B	P	P