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3 years ago

Find the volume of a cone with a radius of 12 units and a height of 6 units.

Mathematics

1 answer:

svlad2 [7]3 years ago

7 0

The volume is 905.32 i believe

12(12)=144, 144(3.14)=452.16, 452.16(6)=2712.96, 2712.96/3=904.32

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A flower bed is in the shape of a triangle with one side twice the length of the shortest side, and the third side is 13 feet mo

beks73 [17]

Let x represent the length of the shortest side. Then the perimeter is
.. x +2x +(x +13) = 149
.. 4x = 136
.. x = 34
2x = 68
x+13 = 47

The lengths of the sides are 34, 47, and 68 ft.

3 0

3 years ago

1) The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 5 years. Using the

8090 [49]

Answer:

1) 68%

2) 68%

Step-by-step explanation:

<h2>1) The ages of trees</h2>

We know the mean and the standard deviation.

The mean is:

$\mu=25$

The standard deviation is:

$\sigma=5$

The Z-score formula is:

$Z = \frac{x-\mu}{\sigma}$

For x=20 the Z-score is:

$Z_{20}=\frac{20-25}{5}=-1$

For x=30 the Z-score is:

$Z_{30}=\frac{30-25}{5}=1$

Then we look for the percentage of the data that is between $-1$ deviations from the mean.

According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of the trees are between 20 and 30 years old

<h2>2) Pizza delivery </h2>

First we calculate the Z-scores

We know the mean and the standard deviation.

The mean is:

$\mu=27$

The standard deviation is:

$\sigma=3$

The z-score formula is:

$Z = \frac{x-\mu}{\sigma}$

For x=24 the Z-score is:

$Z_{24}=\frac{24-27}{3}=-1$

For x=30 the Z-score is:

$Z_{30}=\frac{30-27}{3}=1$

Then we look for the percentage of the data that is between $-1$ deviations from the mean.

According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of pizzas are delivered between 24 and 30 minutes

8 0

3 years ago

What is the quotient of 0.72 ÷ -0.9

Marina CMI [18]

0.72 ÷ -0.9 = -0.8

The quotient is -0.8.

4 0

4 years ago

Read 2 more answers

Write a numerical expression for the calculation.

77julia77 [94]

Answer:246.475