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Ymorist [56]
3 years ago
6

Suppose that you roll a pair of honest dice. If you roll a total of​ 6, you win​ $18; if you roll a total of​ 11, you win​ $72;

if you roll any other​ total, you lose​ $9. Let X denote the payoff in a single play of this game. Find the expected value of a play of this game. Round your answer to the nearest penny.A.) -​ $0.50B.) −​ $1.00C.) ​$0D.) ​$0.75E.) −​ $0.75
Mathematics
1 answer:
ser-zykov [4K]3 years ago
7 0

You can roll a total of 6 by rolling (1, 5), (2, 4), (3, 3), (4, 2), or (5, 1). There are 36 total possible rolls that can be obtained, so you roll a total of 6 with probability 5/36.

You can roll a total of 11 by rolling (5, 6) or (6, 5), hence with probability 2/36 = 1/18.

Any of the other remaining 29 outcomes occurs with probability 29/36.

The expected value of your winnings is

$18*5/36 + $72*1/18 - $9*29/36 = -$0.75

so the answer is E.

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two cars travel in opposite directions, starting from the same place at the same time. One travels at an average rate of 48 mile
asambeis [7]
So in 1 hour they will be 48+55=103 miles apart
how many hours will it be in 618
103 times x hours=618
divide both sides by 103
x=618/103
x=6

the answer is 6 hours
6 0
3 years ago
Evaluate 12x2 + 39x + 30 at x = 3.
ycow [4]

Answer:

255

Step-by-step explanation:

12x^(2) + 39x + 30

x = 3

Substitute in"3" for "x" and solve;

12(3)^(2) + 39(3) + 30

= 12 * 9 + 117 + 30

= 108 + 117 + 30

= 255

3 0
3 years ago
Read 2 more answers
A friend has a 82% average before the final exam for a course. That score includes everything but the final, which counts for 30
Damm [24]
So you want to set up an equation for a weighted average. You know the final is 30% of the grade, so everything else is 70%. This gives you:

(Final)(.30) + (other grades)(.70) = course grade

The best grade the student can get would be if they get a hundred on the final, since that’s the best score you can make on the final. Then,

(100)(.30) + (82)(.70) = course grade
30 + 57.4 = course grade = 87.4 Which, If you round, the student would get an 87.

For the last part, we use the same equation, just filling in different parts.

(Final)(.30) + (other grades)(.70) = course grade

This time, we don’t know the grade for the final, but we know the course grade.

(Final)(.30) + (82)(.70) = 75
(Final)(.30) + 57.4 = 75
(Final)(.30) = 17.6
Final = (17.6)/(.30)
Final = 58.667 Which is approx a 59.
4 0
3 years ago
You want to deposit $1000 in a savings account for 3 years. One bank
Butoxors [25]

Answer:

2nd bank

Step-by-step explanation:

bank one:10*2=(20*3=60)

                $1000+$100+$60=$1160

                total after 3 years = $1160

bank two:$10*6=(60*3=180)

                 $1000+$180=$1180

                total after 3 years = $1180

4 0
3 years ago
Consider the data set: 26, 29, 24, 17, 27, 20, 23, 21, 26, 27.
Andrei [34K]

Answer:

a) Median = 24, Lower quartile = 21, upper quartile = 27

b) Mean = 23.67

c) Variance = 12.8889

d) Standard deviation = 3.59

Step-by-step explanation:

Find the solution in the attachment below:

8 0
3 years ago
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