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Degger [83]
3 years ago
6

Find z if X=27, μ=20, and α=3.4. Round to the nearest hundredth if necessary.

Mathematics
1 answer:
Scrat [10]3 years ago
7 0

Answer:

A. Z=2.06

Step-by-step explanation:

We want to find the Z-score of X=27 if the population mean is \mu=20,and the population standard deviation is \sigma=3.4.

We use the formula:

Z=\frac{X-\mu}{\sigma}

We substitute the values to obtain:

Z=\frac{27-20}{3.4}

Z=\frac{7}{3.4}

Z=2.06

The correct answer is A.

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Answer:

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Step-by-step explanation:

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3 years ago
Claire is putting up a fence around her rectangular garden. The length is four less than double the width. The perimeter is 22 f
Doss [256]

Answer:

The dimensions are 6 by 5 feet.

Length = 6 feet.

Width = 5 feet.

Step-by-step explanation:

Let the length = L

Let the width = W

Perimeter of a rectangle = 2L + 2W

Translating the word problem into an algebraic equation, we have;

L = 2W - 4 ........equation 1

22 = 2L + 2W .......equation 2

Substituting the value of "L" into equation 2, we have;

22 = 2(2W - 4) + 2W

22 = 4W - 8 + 2W

22 + 8 = 6W

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W = 30/6

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To find the length, L

Substituting the value of "W" into equation 1, we have;

L = 2W - 4

L = 2(5) - 4

L = 10-4

Length, L =6 feet

Therefore, the dimensions of the garden are 6 by 5 feet.

5 0
2 years ago
Find the zeros of polynomial function and solve polynomials equations.<br> f(x)=x^2-x-90
victus00 [196]

The zeros are:

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6 0
3 years ago
*Mastery Check. DO NOT ask for help. Find the area of the sector. Round your answer to the nearest tenth.
Juliette [100K]

The area of the sector is 472.6 ft²

<h3>Area of a Sector</h3>

For finding the area of the sector, you need apply the formula:

A=\pi r^2* \frac{\alpha }{360}, where:

r= radius

α= central angle

The question gives:

r= radius= 19 ft

α= central angle = 150°

Thus, the area of the sector will be:

A=\pi r^2* \frac{\alpha }{360}=\pi *19^2*\frac{150}{360} =472.6

Read more about the area of a sector here:

brainly.com/question/22972014

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2 years ago
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uysha [10]
P=2 then 2^2+4=8
P=11 then 11^2+4=125
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3 years ago
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