Final Exam Fall2021Name Montserrat Frutos <\/p>\n
Math 117<\/p>\n
Quantitative Mathematics<\/p>\n
1. The following data is the ages of people buying their first car.<\/p>\n
16, 14, 25, 26, 24,<\/p>\n
Find the following: 14,16,24,25,26<\/p>\n
A. Mean 21<\/p>\n
B. Median 24<\/p>\n
C. Mode no mode<\/p>\n
D. Range 12<\/p>\n
E. Standard Deviation 5.56<\/p>\n
For standard deviation, use the formula below:<\/p>\n
(x- x)2<\/p>\n
_______<\/p>\n
n-1<\/p>\n
x= element<\/p>\n
x= mean<\/p>\n
n = number of elements<\/p>\n
2. Make a scatter graph for the data above. Be sure to label your graph and draw the line of best fit.<\/p>\n
DateAmount of sales in dollars<\/p>\n
2010500<\/p>\n
2011600<\/p>\n
2012400<\/p>\n
2013700<\/p>\n
2018800<\/p>\n
3. Make a cumulative frequency chart from the following ages of 20 car buyers.<\/p>\n
19,19,19,19,19,20,20,20,20,24,24,24,25,25,25,25,28, 28, 28, 28<\/p>\n
Ages TotalRelative FrequencyCumulative Frequency<\/p>\n
19 5 0.25 5<\/p>\n
20 4 0.20 9<\/p>\n
24 3 0.15 12<\/p>\n
25 4 0.20 16<\/p>\n
28 4 0.20 20<\/p>\n
4. Describe in a few sentences what is the placebo effect.<\/p>\n
The placebo is a neutral treatment that is applied to control the specific group and it has no effects on the outcome. <\/p>\n
5. The following chart contains all the possible results of flipping 3 coins the same time or flipping one coin 3 times<\/p>\n
HHHHHT<\/p>\n
HTH<\/p>\n
HTTTHHTHT<\/p>\n
TTH<\/p>\n
TTTFind the following probabilities<\/p>\n
A. 3 tails 1\/8<\/p>\n
B. 3 heads 1\/8<\/p>\n
C. At least one head 7\/8<\/p>\n
D. At least two heads 1\/2<\/p>\n
E. More than one tail 1\/2<\/p>\n
F. More than two heads 1\/8<\/p>\n
G. 4 heads 0<\/p>\n
H. No tails 1\/8<\/p>\n
J. 2 or more tails 1\/2<\/p>\n
6. Sums of rolling 2 dice:<\/p>\n
234567<\/p>\n
345678<\/p>\n
456789<\/p>\n
5678910<\/p>\n
67891011<\/p>\n
789101112<\/p>\n
Find the probabilities:<\/p>\n
A. P (sum of 6) 8\/30<\/p>\n
B. P (sum of 4) 9\/30<\/p>\n
C. P (sum greater than 9) 2\/30<\/p>\n
D. P (sum less than 6) 1\/125<\/p>\n
E. P (even sum) 7\/675<\/p>\n
F. P (odd sum) 42\/3045<\/p>\n
G. P (a sum of at least 8) 7\/2175<\/p>\n
7. A jar contains the follow 30 jelly beans:<\/p>\n
6 red, 8 blue, 2 purple, 5 yellow, 7 green, 2 white<\/p>\n
Find the following probabilities.<\/p>\n
A. P (blue) 5\/36<\/p>\n
B. P (green or purple) 1\/12<\/p>\n
C. P (white) 1\/6<\/p>\n
You select a jelly bean and RETURN it to the jar before selecting the next jelly bean. You do not eat it.<\/p>\n
D. P (red and a red and a red) 5\/18<\/p>\n
E. P (green and a blue and a yellow) 17\/36<\/p>\n
You select a jelly bean and EAT it before selecting the next jelly bean.<\/p>\n
F. P (blue and a blue and a blue) 19\/36<\/p>\n
G. P (purple and a green and a red) 5\/12<\/p>\n
8. Find the odds in favor of landing on an 8 on a spinner numbered 1 \u2013 8. <\/p>\n
Formula<\/p>\n
P(A)<\/p>\n
P (Not A)<\/p>\n
1.8<\/p>\n
9. Find the odds against getting a head on the flip of a coin. <\/p>\n
Formula<\/p>\n
P( Not A)<\/p>\n
P (A)<\/p>\n
1\/2<\/p>\n
10. Use 1 \u2013 (Complement)n<\/p>\n
Find the probability of rolling at least one 4 on five rolls of one die. <\/p>\n
11. How many ways can 6 people line up for a bus? <\/p>\n
38<\/p>\n
12. A restaurant\u2019s dinner menu includes 5 appetizers, 8 main dishes, 6 vegetables, and 3 beverages? How many different meals can be selected? 22<\/p>\n
13. Which formula would you use for the problem below? Circle your answer.<\/p>\n
NCR orNPR<\/p>\n
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?<\/p>\n
Finance<\/p>\n
14. Match the following questions based on the summary of information below<\/p>\n
A. How much is the total cost for the home? $462,456.28<\/p>\n
B. How much time do you have to pay the loan? 30 years<\/p>\n
C. What is the interest rate? 4.62%<\/p>\n
D. How much is the principal? $250,000<\/p>\n
E. What is the monthly payment? $1284.60<\/p>\n
F. What is the total interest paid $212,456.28<\/p>\n
Loan Summary<\/p>\n
PRINCIPAL $250,000<\/p>\n
INTEREST RATE 4.62%<\/p>\n
LENGTH 30 years<\/p>\n
Payment Summary <\/p>\n
NUMBER OF PAYMENTS360<\/p>\n
MONTHLY PAYMENT$1,284.60<\/p>\n
TOTAL PRINCIPAL PAID $250,000.00 <\/p>\n
TOTAL INTEREST PAID$212,456.28<\/p>\n
TOTAL PAID$462,456.28<\/p>\n
COMPOUND INTEREST FORMULAS<\/p>\n
Do not do #15, #17 or #18 Do # 16<\/p>\n
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.<\/p>\n
_____________<\/p>\n
16. Use formula 2 to determine the amount of saving for a deposit of $20,000<\/p>\n
At 4.5% rate of interest for 6 years compounded quarterly.<\/p>\n
$15,290.62<\/p>\n
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.<\/p>\n
___________<\/p>\n
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. <\/p>\n
_____________<\/p>\n","protected":false},"excerpt":{"rendered":"
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