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3 years ago

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Test scores are normally distributed with a mean of 100 and a standard deviation of 15. an individual's iq score is found to be

90. find the z-score corresponding to this value.

1 answer:

Mnenie [13.5K]3 years ago

6 0

Z score=(data value-mean)/standard deviation
z=(90-100)/15=-0.6666666667

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Find the geometric mean of the pair of numbers

Svetach [21]

Answer: a. 55

Step-by-step explanation:

The formula to find the geometeric mean between two numbers a and b is given by :-

$G.M. =\sqrt{ab}$

The given numbers are : 275 and 11

The geometric mean of 275 and 11 is given by :-

$G.M.=\sqrt{275\times11}\\\\\Rightarrow\ G.M. =\sqrt{3025}\\\\\Rightarrow\ G.M.=\sqrt{55\times55}\\\\\Rightarrow\ G.M.=\sqrt{55^2}\\\\\Rightarrow\ G.M.=55$

Hence, the geometric mean of 275 and 11 is 55.

So , the correct option is a. 55 .

4 0

3 years ago

Write (y^2)^3 without exponents, and fill in the blank

irinina [24]

Answer:

y*y*y*y*y*y

Step-by-step explanation:

$(y^{2})^{3} = y^{6} = y*y*y*y*y*y$

7 0

3 years ago

chubhunter [2.5K]

Answer: 2 inches, 3 inches, or 3.125 and 2.083

Explanations:
The simplest way is to take 20% of the 2.5 inches and go that much above & below 2.5 inches.

2.5 x 20% = 2.5 x 0.20 = 0.5

So 2.5 - 0.5 = 2 inches was predicted
And 2.5 + 0.5 = 3 inches was predicted.

The more complicated way is to see number + 20% of that number = 2.5, and what number - 20% = 2.5.

Which solution sounds more like what you’re doing in class right now?

If it’s the more complicated way:

0.8x = 2.5 (80% of the predicted rain value equals 2.5)
x = 3.125 inches was predicted

1.2x = 2.5 (120% of the predicted rain value equals 2.5)
x = 2.083 inches was predicted

Sorry, this is probably confusing. Let me know what questions you have.

6 0

3 years ago

What is the length of the cylinder's height? Please help

raketka [301]

Answer:

Height = <u>9</u><u> </u>cm which means <u>Option </u><u>C </u>is the answer

Step-by-step explanation:

In the question we are given ,

Volume of cylinder = <u>2</u><u>2</u><u>5</u><u>π</u><u> </u><u>cm³</u>

Radius of cylinder = <u>5 cm</u>

And , we have to find the <u>height</u><u> of</u><u> </u><u>cylinder</u><u> </u>.

We know that ,

$\longrightarrow \pink{ \boxed{Volume \: of \: Cylinder = \pi r {}^{2}h }} \longleftarrow$

Our solution starts from here :

$\longmapsto \: \pi \: r {}^{2} h = 225\pi$

<u>Step </u><u>1</u><u> </u><u>:</u> Cancelling π with π :

$\longmapsto \: \cancel{\pi} \: r {}^{2} h = 225 \cancel{\pi}$

<u>Step </u><u>2</u><u> </u><u>:</u> Substituting value of radius which is 5 cm in the formula :

$\longmapsto \: (5) {}^{2} \times h = 225$

$\longmapsto \: 25h = 225$

<u>Step </u><u>3 </u><u>:</u> Transposing 25 to right hand side :

$\longmapsto \: h = \frac{225}{25}$

<u>Step </u><u>4</u><u> </u><u>:</u> Cancelling 225 by 25 :

$\longmapsto \: \red{\boxed{h = 9 \: cm}}$

<u>Henceforth</u><u> </u><u>,</u><u> </u><u>height</u><u> </u><u>of </u><u>cylinder</u><u> is</u><u> </u><u>9</u><u> </u><u>cm</u>

<h2 /><h2><u>#</u><u>K</u><u>e</u><u>e</u><u>p</u><u> </u><u>Learning</u></h2>

8 0

2 years ago

One plane leaves an hour after another plane. The first plane travels at 400mph. How fast must the second plane travel to catch

Dovator [93]

Answer:

200 mph

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

Plane a: 400mph

Plane b: x mph

2x=400

x=200

(っ◔◡◔)っ ♥ Hope this helped! Have a great day! :) ♥

BTW, brainliest would be greatly appreciated, I only need one more before I advance, thanks!

Also, I may have done something wrong, please tell me if it's incorrect!

4 0

3 years ago

Read 2 more answers