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Sergeeva-Olga [200]
2 years ago
15

Mai has a dome paperweight that she can use as a magnifier. The paperweight is

Mathematics
1 answer:
Shkiper50 [21]2 years ago
6 0

Answer:

6 x 6 x 3 cm

Step-by-step explanation:

The base of the box needs to fit the base of the hemisphere.

The maximum width and length of the hemisphere is the diameter of the base of the hemisphere (which is circular)

Diameter of a circle = 2r

As the radius = 3 cm,  the diameter = 2 x 3 = 6 cm

Therefore, the width and length of the box should both be 6cm

The height of the box needs to accommodate the height of the hemisphere.  The height of the hemisphere is the radius, so the height of the box should be 3 cm.

Therefore, the dimensions of the box should be 6 x 6 x 3 cm

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"if the standard deviation of a group of 20 scores is 15, what is the variance?"
DerKrebs [107]

We have been given that the standard deviation of a group of 20 scores is 15 and we are asked to find variance.

Since we know variance is square of standard deviation. In order to find out the variance of the given data we have to take the square of 15.

\text{ Variance}=\sigma^{2}\\
=15^{2}=225

Therefore, our variance is 225.


7 0
3 years ago
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14
natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

r = 3 -- radius

h = 7 --- height

Rate = 14in^3/min

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

V = \frac{1}{3} \pi r^2h

This gives:

V = \frac{1}{3} * 3.14 * 3^2 * 7

V = \frac{1}{3} * 197.82

V = 65.94in^3

To calculate the time, we make use of the following rate formula.

Rate = \frac{Volume}{Time}

Make Time the subject

Time= \frac{Volume}{Rate }

This gives:

Time= \frac{65.94in^3}{14in^3/min}

Time= \frac{65.94in^3}{14in^3}min

Cancel out the units

Time= \frac{65.94}{14} min

Time= 4.71 min\\

3 0
2 years ago
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Subtract 4 1/5-2 1/2 please help!!!!!
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15 - 4x = -9x + 75
algol13

Answer:

x=12

Step-by-step explanation:

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2 years ago
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