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lyudmila [28]
3 years ago
7

Figure the standard deviation of the distribution of means for a population with a standard deviation of 20 and sample size of 1

0
Mathematics
1 answer:
mart [117]3 years ago
6 0

Answer:

standard deviation of the distribution = 6.325.

Step-by-step explanation:

i) standard deviation of the population σ = 20

ii) size of sample n = 10.

iii) standard deviation of the distribution = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{10}} = \frac{20}{3.162} = 6.325

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Answer and Step-by-step explanation:

We are given: 18x - 2(3x + 1) = 5x - 16

First, lets distribute the -2 to the 3x and 1.

18x - 6x - 2 = 5x - 16

Now, we combine like terms.

12x - 2 = 5x - 16

Next, we add 2 to each side.

12x = 5x -14

Now, we subtract 5x from both sides.

7x = -14

Finally, we divide by 7 on both sides.

x = -2

  Statements:                             Reasons:

  18x - 2(3x + 1) = 5x - 16            Given

  18x - 6x - 2 = 5x - 16                Distributive Property of Equality

  12x - 2 = 5x - 16                       Combine like terms

  12x = 5x -14                              Addition Property of Equality

  7x = -14                                     Subtraction Property of Equality

  x = -2                                        Division Property of Equality

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3 years ago
Tim wants to determine the height, x, of a nearby tree. He stands 35 feet
kodGreya [7K]

Answer:

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Step-by-step explanation:

The model is a right triangle.

Using the tangent ratio

tan40° = \frac{opposite}{adjacent} = \frac{x}{35} ( multiply both sides by 35 )

35 × tan40° = x , then

x ≈ 29.4 ft ( to 1 dec. place )

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Deacon wants to order DVDs. Each DVD costs $12.95, and he must pay a shipping and handling fee of $4.95 for the entire order. De
eduard

Answer:

12.95a + 4.95 ≤ 75

Step-by-step explanation:

Given:

Cost of each DVD = $12.95

Total shipping fee = $4.95

Total amount as gift card = $75

Find;

Inequality

Computation:

Assume;

Number of DVD he purchase = a

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