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2 years ago

The area of a circle is 37 square meters. find the radius to the nearest hundredth

Mathematics

1 answer:

son4ous [18]2 years ago

6 0

3.43 is the radius (20 CHARACTERS)

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In a population distribution, a score of x=57 corresponds to z=-0.25 and a score of x=87 corresponds to z=1.25. Find the mean an

Serggg [28]

Here is dependence between scores and x-values:

$Z_i=\dfrac{X_i-\mu}{\sigma},$

where $\mu$ is the mean, $\sigma$ is standard deviation and i changes from 1 to 2.

1. When i=1, $Z_1=-0.25,\ X_1=57,$ then

$-0.25=\dfrac{57-\mu}{\sigma}.$

2. When i=2, $Z_2=1.25,\ X_2=87,$ then

$1.25=\dfrac{87-\mu}{\sigma}.$

Now solve the system of equations:

$\left\{\begin{array}{l}-0.25=\dfrac{57-\mu}{\sigma}\\ \\1.25=\dfrac{87-\mu}{\sigma}.\end{array}\right.$

$\left\{\begin{array}{l}-0.25\sigma=57-\mu\\ \\1.25\sigma=87-\mu.\end{array}\right.$

Subtract first equation from the second:

$1.25\sigma-(-0.25\sigma)=87-57,\\ \\1.5\sigma=30,\\ \\\sigma=20.$

Then

$1.25=\dfrac{87-\mu}{20},\\ \\87-\mu=25,\\ \\\mu=87-25=62.$

Answer: the mean is 62, the standard deviation is 20.

3 0

3 years ago

Read 2 more answers

Becky bought a magazine for $3.68, and the sales tax was 8.25%. How much sales tax did Becky pay on the magazine?

Lerok [7]

Answer:

$0.30

Step-by-step explanation:

3.68*.0825= .3036

3 0

2 years ago

45 female signers, 40 male singers, 15 instrumental, what is probability that a set of 3 songs contain 1 male, 1 female, 1 inst.

Fantom [35]

Answer:

5 I think

Step-by-step explanation:

8 0

3 years ago

A rectangular rug has a perimeter of 460 meters. The width of the rug is five meters more than 4 times the length. Find the

Paladinen [302]

Answer:

Length = 45 m

Width = 185 m

Step-by-step explanation:

Given:

Perimeter of rectangular rug = 460 m

width of the rug is five meters more than 4 times the length

To find:

Width and length of rug = ?

Solution:

Let the length = $l$ m

As per given statement,

Width = $4l+5$ m

Formula for perimeter of a rectangle = $2\times (Length +Width)$

$460=2\times (l+4l+5)\\\Rightarrow 230 = 5l+5\\\Rightarrow l = \dfrac{225}{5} = 45\ m$

Width = $4l+5$ m

Width = $4\times 45+5 = 185\ m$

So, the answer is:

Length = 45 m

Width = 185 m

6 0

3 years ago

Which expression is a polynomial

patriot [66]

Answer:

$4x^3-2x^2+5x-6+\frac{1}{x}$ is a polynomial

Step-by-step explanation:

a polynomial is a set of numbers with multiple terms that are not simplify able

$9x^7y^{-3} z$ is not a polynomial because its actually one term, there is no addition/subtraction of different terms.

-13 is a single number, so not a polynomial

13x^-2 is also a single number, not a polynomial

8 0

2 years ago