Final Exam Fall2021Name Montserrat Frutos
Math 117
Quantitative Mathematics
1. The following data is the ages of people buying their first car.
16, 14, 25, 26, 24,
Find the following: 14,16,24,25,26
A. Mean 21
B. Median 24
C. Mode no mode
D. Range 12
E. Standard Deviation 5.56
For standard deviation, use the formula below:
(x- x)2
_______
n-1
x= element
x= mean
n = number of elements
2. Make a scatter graph for the data above. Be sure to label your graph and draw the line of best fit.
DateAmount of sales in dollars
2010500
2011600
2012400
2013700
2018800
3. Make a cumulative frequency chart from the following ages of 20 car buyers.
19,19,19,19,19,20,20,20,20,24,24,24,25,25,25,25,28, 28, 28, 28
Ages TotalRelative FrequencyCumulative Frequency
19 5 0.25 5
20 4 0.20 9
24 3 0.15 12
25 4 0.20 16
28 4 0.20 20
4. Describe in a few sentences what is the placebo effect.
The placebo is a neutral treatment that is applied to control the specific group and it has no effects on the outcome.
5. The following chart contains all the possible results of flipping 3 coins the same time or flipping one coin 3 times
HHHHHT
HTH
HTTTHHTHT
TTH
TTTFind the following probabilities
A. 3 tails 1/8
B. 3 heads 1/8
C. At least one head 7/8
D. At least two heads 1/2
E. More than one tail 1/2
F. More than two heads 1/8
G. 4 heads 0
H. No tails 1/8
J. 2 or more tails 1/2
6. Sums of rolling 2 dice:
234567
345678
456789
5678910
67891011
789101112
Find the probabilities:
A. P (sum of 6) 8/30
B. P (sum of 4) 9/30
C. P (sum greater than 9) 2/30
D. P (sum less than 6) 1/125
E. P (even sum) 7/675
F. P (odd sum) 42/3045
G. P (a sum of at least 8) 7/2175
7. A jar contains the follow 30 jelly beans:
6 red, 8 blue, 2 purple, 5 yellow, 7 green, 2 white
Find the following probabilities.
A. P (blue) 5/36
B. P (green or purple) 1/12
C. P (white) 1/6
You select a jelly bean and RETURN it to the jar before selecting the next jelly bean. You do not eat it.
D. P (red and a red and a red) 5/18
E. P (green and a blue and a yellow) 17/36
You select a jelly bean and EAT it before selecting the next jelly bean.
F. P (blue and a blue and a blue) 19/36
G. P (purple and a green and a red) 5/12
8. Find the odds in favor of landing on an 8 on a spinner numbered 1 – 8.
Formula
P(A)
P (Not A)
1.8
9. Find the odds against getting a head on the flip of a coin.
Formula
P( Not A)
P (A)
1/2
10. Use 1 – (Complement)n
Find the probability of rolling at least one 4 on five rolls of one die.
11. How many ways can 6 people line up for a bus?
38
12. A restaurant’s dinner menu includes 5 appetizers, 8 main dishes, 6 vegetables, and 3 beverages? How many different meals can be selected? 22
13. Which formula would you use for the problem below? Circle your answer.
NCR orNPR
A baseball team is being formed with 30 children. Nine children will rotate through all nine positions having a chance to play each position. Which formula will compute the correct number of arrangement of 20 people 9 at a time?
Finance
14. Match the following questions based on the summary of information below
A. How much is the total cost for the home? $462,456.28
B. How much time do you have to pay the loan? 30 years
C. What is the interest rate? 4.62%
D. How much is the principal? $250,000
E. What is the monthly payment? $1284.60
F. What is the total interest paid $212,456.28
Loan Summary
PRINCIPAL $250,000
INTEREST RATE 4.62%
LENGTH 30 years
Payment Summary
NUMBER OF PAYMENTS360
MONTHLY PAYMENT$1,284.60
TOTAL PRINCIPAL PAID $250,000.00
TOTAL INTEREST PAID$212,456.28
TOTAL PAID$462,456.28
COMPOUND INTEREST FORMULAS
Do not do #15, #17 or #18 Do # 16
15. Use formula 1 to determine the amount of savings for a deposit of $15,000, at a 6% rate of interest for 8 years compounded annually.
_____________
16. Use formula 2 to determine the amount of saving for a deposit of $20,000
At 4.5% rate of interest for 6 years compounded quarterly.
$15,290.62
17. Use formula 3 to determine the amount of saving for a monthly deposit of $100 in an account with 4% rate of interest for 25 years compounded monthly.
___________
18. Use formula 4 to determine the amount of the monthly deposit musts be made to have $500,000 at the end of 25 years.
_____________