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3 years ago

Please help me with this question

Mathematics

1 answer:

Pavlova-9 [17]3 years ago

6 0

Answer:

Step-by-step explanation:

The mean is the average. There are two ways to do this question shown.

1- You can calculate the mean by adding them all up and find the current mean. You can then add the numbers and then divide again-

88+100+76+92+83=439.

439/5=87.8

The current average is 87.8. Now, you can add and divide again.

439+71=510. 510/6=85.

You now have the answer. However, you might want to check again.

439+76=515

515/6=85.833....3

It is more than 85, so the answer is 71.

2- Find out how much more all the numbers are than the smallest number.

First, I'll organize it.

-76, 83, 88, 92, 100-

The smallest number is 76, so subtract 76 from each.

0, 7, 12, 16, 24 added up together is 59.

59/5=11.8

76+11.8=87.8

That also gives you that the average is 87.8.

You can then see how much or less the number is than the average and then add.

71 is five LESS than the average, so it's -5.

54/6=9.

9+76=85.

Thus, 71

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4 years ago

How can (4x⁵/2x²)³ be solved in 2 different ways

Margaret [11]

We assume that we need to simplify the expression in two different ways.

Answer:

One way: Raise both, the numerator and denominator, to the third power, and then simplify the expression.

Second way: Simplify the terms inside parentheses, and then raise the result to the third power.

The result of both ways is the same: $\\8x^{9}$

Step-by-step explanation:

Raise both, the numerator and denominator, to the third power, and then simplify the expression:

$\\ (\frac{4x^{5}}{2x^{2}})^{3}$

$\\ (\frac{64x^{5*3}}{8x^{2*3}})$

$\\ (\frac{64x^{15}}{8x^{6}})$

$\\ \frac{64}{8}\frac{x^{15}}{x^{6}}$

$\\8x^{9}$

This is the first simplification.

<em>Second way</em>

Simplify the terms inside parentheses, and then raise the result to the third power.

$\\ (\frac{4x^{5}}{2x^{2}})^{3}$

$\\ (\frac{4}{2}*\frac{x^{5}}{x^{2}})^{3}$

$\\ (2*x^{5-2})^{3}$

$\\ (2*x^{3})^{3}$

$\\ (2^{3}*x^{3*3})$

$\\ (8*x^{9})$

or $\\ 8x^{9}$ .

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3 years ago