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Mademuasel [1]
4 years ago
13

The following table shows the probability of rolling the numbers 1 through 7 on a fair seven-sided die.

Mathematics
1 answer:
Tanya [424]4 years ago
4 0
E(X) = 1/7 + 2(1/7) + 3(1/7) + 4(1/7) + 5(1/7) + 6(1/7) + 7(1/7) = 1/7 + 2/7 + 3/7 + 4/7 + 5/7 + 6/7 + 7/7 = 24/7 = 4.

Var(X) = 1/7(1 - 4)^2 + 1/7(2 - 4)^2 + 1/7(3 - 4)^2 + 1/7(4 - 4)^2 + 1/7(5 - 4)^2 + 1/7(6 - 4)^2 + 1/7(7 - 4)^2 = 9(1/7) + 4(1/7) + 1/7 + 1/7 + 4(1/7) + 9(1/7) = 9/7 + 4/7 + 2/7 + 4/7 + 9/7 = 28/7 = 4

standard deviation = sqrt(Var(X)) = sqrt(4) = 2.
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Please help! And make sure to add a let statement!
Reptile [31]

Answer: See explanation

Step-by-step explanation:

1. Let the small number be x

Then, the bug number will be: x + 25

Therefore, x + x + 25 = 131

2x + 25 = 131

2x = 131 - 25

2x = 106

x = 106 / 2

x = 53

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Big number = x + 25 = 53 + 25 = 78

2. Let the small number be x

Then, the bug number will be: x + 14

x + x + 14 = 58

2x + 14 = 58

2x = 58 - 14

2x = 44

x = 44/2

x = 22

Small number = 22

Bug number = 22 + 14 = 36

The numbers are 22 and 36.

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Therefore, number of football sold will be x+3.

Therefore, x + x + 3 = 27

2x + 3 = 27

2x = 27 - 3

2x = 24

x = 24/2

x = 12

12 basketball were sold

Number of footballs sold = 12 + 3 = 15

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Hamburger = 2 × x = 2x

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3x = 738

x = 738/3

x = 246

There are 246 calories in bowl of soup

Calories in hamburgers = 246 × 2 = 492 calories

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