Solved by verified expert:I’m looking for someone that like/enjoys or just finds math to be easy for them. I’ve attached 19 problems I would like solved (Showing work plus answer). If you feel you can do this. I would truly appreciate the help.
march_3_2018.docx
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Answer each question carefully.
Page
1
2
3
4
5
6
Total
Points
1. Eighty US households were surveyed about MP3 players. The table gives the frequency
distribution for the data.
# of MP3’s Frequency
1
7
2
13
3
27
4
21
5
7
a. Construct a histogram.
b. Calculate the mean.
c. Calculate the median.
2. If a baseball player has a batting average of 0.420, what is the probability that the player
will get at least 3 hits in the next four times at bat?
1
3. Here are the prices of 8 different MP3 players: $252, $356, $304, $296, $238, $177,
$252, $178
a. Find the mean.
b. Find the median.
c. Find the mode.
d. Find the standard deviation.
4. The average size of the bass in a lake is 11.4 inches, with a standard deviation of 3.2
inches. Find the probability of catching a bass longer than 16 inches.
5. College students were give three choices of pizza toppings and asked to choose one
favorite. The following table shows the results.
Freshman Sophomore
Junior
Senior
Cheese
16
16
29
19
Meat
27
19
16
16
veggie
16
16
27
19
Find P(prefer Meat |person is Junior or Senior).
2
6. Use Bayes’ rule to find the indicated probability. In Cumberland County, 55% of
registered voters are Democrats, 30% are Republicans and 15% are independent.
During a recent election, 35% of the Democrats voted, 65% of the Republicans
voted, and 75% of the independent voted. What is the probability that someone
who voted is a Democrat?
7. Graph the linear equation and determine its slope, if it exists. 2x – 5y = 20
8. Solve the inequality and graph. Express your answer in interval notation.
20x – 45 > 4(3x – 14)
3
9. Solve the formula for the specified variable. 8x + 10y = 16 for y
10. Write the slope-intercept equation (y = mx + b) for a line with m = 1/2, passing through
(-1, 2).
11. Use the graph of f given below to find f(4).
2 −7
12. Find the function value. ( ) = 3 +4 , (3) =
13. Determine the domain of the function. ( ) = −2
4
14. Graph the solution set of the system of linear inequalities and indicate whether the
solution region is bounded or unbounded.
≤ −4
{ <2
3 + < 6
−3
6
4
−10 7
15. For the matrix game [ −3
−8
−12]
−10
a. Is the game strictly determined?
b. If it strictly determined, is it a fair game?
c. If it is strictly determined, what is the saddle value?
16. Solve the problem. Round dollar amounts to the nearest cent. Use 360 days. What is the
purchase price of a 26-week T-bill with a maturity value of $1000 that earns an annual
interest rate of 6.25%?
17. The monthly payments on a $79,000 loan at 14% annual interest are $982.76. How much
of the first monthly payment will go toward the principal?
5
18. Two racquetball clubs are in competition in attracting new members. Advertising
campaigns are being contemplated by both clubs which emphasize either beginning,
intermediate, or advanced player tournaments among members. After careful research,
the following results were found:
Racquetball Club B
Beginning Intermediate
Advanced
25%
85%
15%
Racquetball Beginning
Club A
Intermediate
45%
65%
75%
Advanced
35%
25%
55%
Thus, if beginner tournaments are featured by both clubs, Club A expects to attract 25%
of the new members and Club B expects to attract 75% of the new members, etc. Find the
value of the game.
19. In a two-finger Morra game, if player R matches player C, then R wins and if R
and C don't match, then C wins. R will win $3 with one finger or two fingers,
while C will win $1 with one finger and $5 with 2 fingers. The following payoff
matrix is
R
1 finger
2 fingers
C
1 finger
3
-1
2 fingers
-5
3
Find the optimal strategies P* and Q* for R and C respectively, and the value v of
the game.
6
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