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3 years ago

The standard deviation of the distribution of sample means is _______.

Mathematics

1 answer:

luda_lava [24]3 years ago

6 0

Answer:

Standard error

Step-by-step explanation:

The standard deviation of the distribution of sample means is called the standard error of the means.

It is denoted by: $\sigma_{\bar X}$

The standard error is calculated using the formula: $\sigma_{\bar X}=\frac{\sigma}{\sqrt{n} }$

where n is the sample size and $\sigma$ is the population standard deviation.

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1. What is the value of h? (1 point)

irinina [24]

The value of h is 11.3.

Solution:

Given data:

The triangle is a right triangle.

θ = 45° and opposite side of θ = 8

The value of sin 45° = $\frac{1}{\sqrt{2} }$

Using trigonometric formula,

$$\sin\theta=\frac{\text{Opposite side}}{\text{Hypotenuse}}$

$$\sin45^\circ=\frac{{8}}{h}$

$$\frac{1}{\sqrt{2} } =\frac{{8}}{h}$

Do cross multiplication.

$h = 8\sqrt 2$

h = 11.3

The value of h is 11.3.

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3 years ago

For the function f(x)=5x2−5x, evaluate and simplify.

Marianna [84]

9514 1404 393

Answer:

10x -5 +5h

Step-by-step explanation:

Use the function definition with the given arguments.

$\dfrac{f(x+h)-f(x)}{h}=\dfrac{(5(x+h)^2-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{(5(x^2+2hx+h^2)-5(x+h))-(5x^2-5x)}{h}\\\\=\dfrac{5x^2+10hx+5h^2-5x-5h-5x^2+5x}{h}=\dfrac{10hx-5h+5h^2}{h}\\\\=\boxed{10x-5+5h}$

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2 years ago

Marley runs 5 yards down the track from point A to point B, and then stops and runs

julia-pushkina [17]

Answer:

$\sqrt{61}$ =AC or 7.8102=AC

Step-by-step explanation:

If we connect a line from point A to point C we create a triangle, and we can use pythagorean theorem to find this distance. So the line from point A to point C will be our hypotenuse and the other two distances will be out side lengths.

$5^{2}+6^{2}=AC^{2}$

25+36= $AC^{2}$

61= $AC^{2}$

$\sqrt{61}$ =AC or 7.8102=AC

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2 years ago

If the public debt of the United States in 2004 was $7,379,052,696,330.32 and the budget deficit in 2005 was $553,656,965,393.18

slava [35]

Since there is a shortage in the budget in 2005 by 553,656,965,393.18, the total debt that of the United States in 2005 will be the public debt by 2004 added with this deficit in the budget. Having said that, the public debt by 2004 should be equal to,
$ 7.9327 x 10^12

3 0

2 years ago

Read 2 more answers

480 is what percent greater than 160

MrMuchimi

160 is 100% of 160, 480 is 4 times that. So 400%

7 0

3 years ago

Read 2 more answers

The standard deviation of the distribution of sample means is​ _______.

The standard deviation of the distribution of sample means is _______.