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fredd [130]
3 years ago
13

The manager of a video store has compiled the following table, which gives the probabilities that a customer will buy 0, 1, 2, 3

, or 4 DVDs. How many DVDs can a given customer be expected to buy? DVDs - 0 1 2 3 4 Probability - .42 .36 .14 .05 .03
Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

0.91 DVDs

Step-by-step explanation:

The expected number of DVDs is the sum of products of the number of DVDs and their probability:

  E(n) = 0·0.42 + 1·0.36 + 2·0.14 + 3·0.05 + 4·0.03

  = 0 + 0.36 + 0.28 + 0.15 + 0.12

  = 0.91

A given customer can be expected to buy 0.91 DVDs.

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Solve by using elimtation
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Answer:

1. x = 5, y = 13/2

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Step-by-step explanation:

Solve the following system:

{8 y + 6 x = 82 | (equation 1)

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Swap equation 1 with equation 2:

{9 x + 6 y = 84 | (equation 1)

{6 x + 8 y = 82 | (equation 2)

Subtract 2/3 × (equation 1) from equation 2:

{9 x + 6 y = 84 | (equation 1)

{0 x + 4 y = 26 | (equation 2)

Divide equation 1 by 3:

{3 x + 2 y = 28 | (equation 1)

{0 x + 4 y = 26 | (equation 2)

Divide equation 2 by 2:

{3 x + 2 y = 28 | (equation 1)

{0 x + 2 y = 13 | (equation 2)

Divide equation 2 by 2:

{3 x + 2 y = 28 | (equation 1)

{0 x + y = 13/2 | (equation 2)

Subtract 2 × (equation 2) from equation 1:

{3 x + 0 y = 15 | (equation 1)

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Divide equation 1 by 3:

{x + 0 y = 5 | (equation 1)

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Collect results:

Answer: {x = 5, y = 13/2

_____________________________________

Solve the following system:

{8 y + 3 x = 237 | (equation 1)

{3 y + 5 x = 147 | (equation 2)

Swap equation 1 with equation 2:

{5 x + 3 y = 147 | (equation 1)

{3 x + 8 y = 237 | (equation 2)

Subtract 3/5 × (equation 1) from equation 2:

{5 x + 3 y = 147 | (equation 1)

{0 x + (31 y)/5 = 744/5 | (equation 2)

Multiply equation 2 by 5/31:

{5 x + 3 y = 147 | (equation 1)

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Subtract 3 × (equation 2) from equation 1:

{5 x + 0 y = 75 | (equation 1)

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Collect results:

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2 years ago
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Stolb23 [73]

The most appropriate choice for equilateral triangle will be given by

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What is equilateral triangle?

A closed two dimensional figure with three sides and three angles is called triangle.

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The triangle whose all sides and all angles are equal is called equilateral triangle. All the angles of equilateral triangle  are 60°

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x = \frac{9\sqrt{3}}{2}

To learn more about equilateral triangle, refer to the link:

brainly.com/question/2351368

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