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kondor19780726 [428]
3 years ago
15

Write 11•47 using the distributive property. Then simplify.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
6 0
Distributive property :

a (b+c) = ab + bc

Try writing 47 = 50-3  or 47 = 40+7.

11 x 47 = 11 x (50-3) = 11 x 50 - 11 x 3 = 550 - 33 =  517

or 

11 x 47 =  11 x (40+7) = 11 x 40 + 11 x 7 = 440 + 77 = 517
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√8x^2 divided by √2x
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Question: Simplify \frac{\sqrt{8x^2}}{\sqrt{2x}}.

First off, you <em>never</em> want square roots on the bottom of a fraction, so let's multiply both sides by \sqrt{2x} to get rid of it. All we have to do from there is simplify!

\frac{\sqrt{8x^2}}{\sqrt{2x}}*\frac{\sqrt{2x}}{\sqrt{2x}}=\frac{\sqrt{8x^2}*\sqrt{2x}}{2x}}=\frac{\sqrt{16x^3}}{2x}=\frac{4x\sqrt{x}}{2x}=\boxed{2\sqrt{x}}


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2 years ago
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Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What
crimeas [40]

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

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5 0
1 year ago
write the equation that describes the line in slope-intercept form. slope = 4, point (3, −2) is on the line y = 4x 14 y = 4x − 2
amid [387]
Equation of a line is given by y - y1 = m(x - x1) where m is the slope and (x1, y1) is any point on the line.

y - (-2) = 4(x - 3)
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3 years ago
There are 5 boys and 10 girls in the glee club. Which ratio represents the number of boys in the club to the total number of stu
Misha Larkins [42]

Answer:

2:1

Step-by-step explanation:

If you that this would be 10:5 you would be half correct

Solution:

No. of boys in glee club:No.of girl in glee club

10:5

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2:1

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NEED ALL 4! With the solution and step by step on what to do !! worth 35 points
creativ13 [48]

Answer:

I got you, give me a few minutes

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Step-by-step explanation:

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