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2 years ago

I can write numerical expressions involving whole-number exponents

Mathematics

1 answer:

DerKrebs [107]2 years ago

7 0

Answer:

yes

Step-by-step explanation:

nothing much u have to do like what ur teacher said

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A population has a mean, μ = 89 and a standard deviation,σ = 24.

Cloud [144]

Answer:

$\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

Let X the random variable of interest for a population. We know from the problem that the distribution for the random variable X is given by:

$X\sim N(\mu =89,\sigma =24)$

We take a sample of n=64 . That represent the sample size.

The sample mean is defined as:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we find the expected value and variance for the sample mean we got:

$E(\bar X) = \mu$

Var(\bar X) = \frac{\sigma^2}{n}[/tex]

The distribution for the sample mean is given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\bar X \sim N(\mu=89, \frac{24}{\sqrt{64}}=3)$

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2 years ago

Solve (t-5) = 2 where t is a real number.<br> Simplify your answer as much as possible.

In-s [12.5K]

Answer:

Step-by-step explanation:

T-5=2 2+5=7

7 0

3 years ago

All else being equal, a study with which of the following error ranges would be the most reliable?

romanna [79]

The answer is C (for APEX).

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3 years ago

Read 2 more answers

Write an equation in standard form for the line, where the points (-2, -1) and (0, 4) are on the line

DedPeter [7]

Answer:

An equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

Step-by-step explanation:

Given the points

(-2, -1) and (0, 4)

The slope between two points

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(0,\:4\right)$

$m=\frac{4-\left(-1\right)}{0-\left(-2\right)}$

$m=\frac{5}{2}$

Writing the equation in point-slope form

As the point-slope form of the line equation is defined by

$y-y_1=m\left(x-x_1\right)$

Putting the point (-2, -1) and the slope m=1 in the line equation

$y-\left(-1\right)=\frac{5}{2}\left(x-\left(-2\right)\right)$

$y+1=\frac{5}{2}\left(x+2\right)$

$y=\frac{5}{2}x+4$

Writing the equation in the standard form form

As we know that the equation in the standard form is

$Ax+By=C$

where x and y are variables and A, B and C are constants

$y=\frac{5}{2}x+4$

$\frac{5}{2}x-y=-4$

Therefore, an equation in standard form for the line is:

$\frac{5}{2}x-y=-4$

7 0

2 years ago

Which of the following is equivalent to 24g – 16g?

EleoNora [17]

Answer:

Step-by-step explanation:

g is distributed

6 0

2 years ago