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3 years ago

Solve the formula for the perimeter of a rectangle, with width wand length,

Mathematics

1 answer:

iren2701 [21]3 years ago

7 0

Answer:

l = P/2 -w

Step-by-step explanation:

P = 2w +2l

P/2 = w + l . . . . . . divide by 2

P/2 -w = l . . . . . . . subtract w

The desired formula is ...

l = P/2 -w

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Kim has 10 yellow hats. Her sister has 4 orange hats. How many sets of

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Answer:

1 set of 10 14 sets of 1 altogether is 14

Step-by-step explanation:

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3 years ago

Planets in Earth’s Solar System are grouped according to their distance from the Sun. Which choice correctly identifies an inner

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its inner mars made of gas

and outer Jupiter made of rock

Step-by-step explanation:

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3 years ago

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Suppose a simple random sample of size n is drawn from a large population with mean mu and standard deviation sigma. The samplin

Sidana [21]

Answer:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

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

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

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".

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Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

Where $\mu$ the mean and $\sigma$ the deviation

Since the distribution for X is normal then we can conclude that the distribution for the sample mean $\bar X$ is given by:

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

$\mu_{\bar X} = \mu$

$\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}$

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3 years ago

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Find the values for which the statement is true and mark them on the number line: |x|=x

gogolik [260]

Answer:

The function f(x) = IxI works as follows:

if x ≤ 0, then IxI = -x

if x ≥ 0, then IxI = x

notice that if x = 0, then I0I = 0 = -0

Now, we want that:

IxI = x

Then we have that x must be greater or equal than zero:

x ≥ 0.

To represent it in the number line, you should use a black dot in the zero an shade all the right region:

__-2__-1__0__1__2__3__4__5__6__....

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3 years ago

Explain why 21i^2 is equivalent to -21

Citrus2011 [14]

Answer:

Step-by-step explanation:

The imaginary number 'i' is equal to the square root of -1. If you were to square the square root, they both cancel and you get -1.

$21i^2=21(\sqrt{-1} )^2=21(-1)=-21$

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3 years ago