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4 years ago

The mean is 18.1

1 answer:

5 0

The standard deviation is 3.

The formula for a z-score is

z = (X-μ)/σ

Using our information, we have

-1.7 = (13-18.1)/σ

Multiplying both sides by σ,
-1.7σ = 13-18.1
-1.7σ = -5.1

Divide both sides by -1.7:
-1.7σ/-1.7 = -5.1/-1.7
σ = 3

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#18. estimate the perimeter and the area of the shaded figure to the nearest tenth

Gelneren [198K]

Answer:

Area = 22.3 m^2

Perimeter 27.4 m^2

Step-by-step explanation:

Perimeter = __ m

Area __ m^2

The area of the triangle is about 4.2,

The area of the square is 4,

The area of the semicircle is 14.1,

14.1 + 4.2 + 4 = 22.3

Area = 22.3 m^2

9.4 + 6 + 4 + 4 + 4 = 27.4

Perimeter = 27.4 m^2

Therefore the area of the shape is about 22.3 m^2 and the perimeter is about 27.4 m^2.

6 0

2 years ago

6x+18=h(3x+9) what value the constant h in the equation shown below will result in a infinite number of solutions

pav-90 [236]

For there to be an infinite number of solutions, the quantity on the left side of the equation must be the same as on the right.
First, distribute the equation to get
6x + 18 = 3xh + 9h
If h = 2, the equation on the right would also be 6x + 18 which would yield the same equation and hence an infinite number of solutions
So the answer is h = 2

4 0

3 years ago

Read 2 more answers

Rewrite in simplest radical form, thx :)

Aleks [24]

Answer:

The answer is

$\sqrt[3]{ {x}^{2} }$

Step-by-step explanation:

$\frac{ {x}^{ \frac{5}{6} } }{ {x}^{ \frac{1}{6} } }$

Since they have the same base and are dividing we can use the rules of indices

That's

subtract the exponents

So we have

${x}^{ \frac{5}{6} - \frac{1}{6} }$

${x}^{ \frac{4}{6} }$

$= {x}^{ \frac{2}{3} }$

Rewriting it in radical form

We have the final answer as

$\sqrt[3]{ {x}^{2} }$

Hope this helps you

6 0

3 years ago

An article describes the chemical compositions of certain minerals in the early Archaean mantle. For a certain type of olivine a

Ket [755]

Answer:

The mean is 40.35 and the standard deviation is 0.13.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a certain type of olivine assembly, the silicon dioxide (SiO2) content (in weight percent) in a randomly chosen rock has mean 40.35 and standard deviation 0.4.

Sample of 10:

By the Central Limit Theorem, the mean is 40.35, and the standard deviation is $s = \frac{\sigma}{\sqrt{n}} = \frac{0.4}{\sqrt{10}} = 0.13$

The mean is 40.35 and the standard deviation is 0.13.

5 0

3 years ago

Help a uneducated sis out✊

N76 [4]

Answer & Step-by-step explanation:

The domain of a set of points refers to the input, also known as the x values. To find the domain, record all the x values given (x,y):

$domain={-2,0,3,5}$

:Done

**The range is the output, aka the y values.

5 0

3 years ago