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3 years ago

Please help with this one.

Mathematics

1 answer:

quester [9]3 years ago

4 0

Answer:

x = 7

Step-by-step explanation:

$\frac{3}{7} x + 5 = 8$

$\frac{3}{7} x = 8-5$

$\frac{3}{7} x = 3$

$x = 3 / \frac{3}{7}$

$x = 3 * \frac{7}{3}$ cancel 3

Then

$x = 7$

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3 years ago

‼️GEOMETRY‼️

ella [17]

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

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2 years ago

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Use a graphing calculator to find the value of the correlation coefficient r and determine if there is a strong correlation amon

Natali [406]

The value of the correlation is -0.0721 and it is a weak negative correlation

<h3>How to determine the correlation coefficient?</h3>

The points are given as:

(12, 28), (15, 50), (18, 14), (21, 28), (24, 36)

Enter the above points in a graphing calculator.

From the graphing calculator, we have the following summary:

<u>X Values</u>

Sum X = 90
Mean = 18
∑(X - Mx)^2 = SSx = 90

<u>Y Values</u>

Sum Y = 156
Mean = 31.2
∑(Y - My)^2 = SSy = 692.8

<u>X and Y Combined</u>

N = 5
∑(X - Mx)(Y - My) = -18

<u>R Calculation</u>

r = ∑((X - My)(Y - Mx)) / √((SSx)(SSy))

This gives

r = -18 / √((90)(692.8)) = -0.0721

So, the correlation coefficient is -0.0721

The above is a negative correlation because it is less than 0 and it is a weak correlation because it is closer to 0 than -1

Hence, the correlation is a weak negative correlation

Read more about correlation coefficient at:

brainly.com/question/27226153

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2 years ago