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3 years ago

School administrators collect data on students attending the school. Which of the following variables is quantitative?

Mathematics

1 answer:

iVinArrow [24]3 years ago

8 0

the variable qould b and aStep-by-step explanation:

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

Elodia [21]

We have been given that a sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. We are asked to find the volume of the sphere.

We know that height of sphere is equal to its radius. This means that $r=h$ .

$\text{Volume of sphere}=\frac{4}{3}\pi r^3$

$\text{Volume of cylinder}=\pi r^2 h$

Using $r=h$ , we will get:

$\text{Volume of cylinder}=\pi r^2\cdot r$

$\text{Volume of cylinder}=\pi r^3$

Upon comparing volume of sphere and volume of cylinder, we can see that volume of sphere is $\frac{4}{3}$ times volume of cylinder.

$\pi r^3=21$

$\frac{4}{3}\pi r^3=\frac{4}{3}\cdot 21$

$\frac{4}{3}\pi r^3=4\cdot 7$

$\frac{4}{3}\pi r^3=28$

Therefore, the volume of the sphere would be 28 cubic meters.

4 0

3 years ago

Read 2 more answers

What is the arc length if Θ = 2 pi over 7 and the radius is 3 cm? A. 7 pi over 12

hodyreva [135]

Answer: Option 'C' is correct.

Step-by-step explanation:

Since we have given that

$\theta=\frac{2\pi}{7} \\\\r=3\ cm$

An arc is a part of total circumference of circle and length of that arc is the measurement of linear distance.

Since we know the formula for "Length of an arc " , we get

$L=r\times \theta\\\\L=\frac{2\pi}{7}\times 3\\\\L=\frac{6\pi}{7}$

Hence, Option 'C' is correct.

6 0

3 years ago

Read 2 more answers

I’m one day, 18 people each withdrew 1000$ from an atm machine. What was the overall change in the amount of money in the atm ma

labwork [276]

Let M = amount of money in ATM at the beginning

M - 18(100) = M - 1800

The change is a decrease of $1,800

4 0

3 years ago

Which equation is quadratic in form?

prohojiy [21]

Answer:

the quadratic formula is ax^2 + bx + c", if the first one is expanded out I will be 6x^2+8x+27 so that's the answer

4 0

2 years ago

X=x property of equality

Mekhanik [1.2K]

Answer:

Reflexive Property

Step-by-step explanation:

For all real numbers x , x=x . A number equals itself

7 0

3 years ago