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3 years ago

What is the volume of the cone with radius 4 ft and height 10 ft? Round to the nearest cubic foot.

Mathematics

2 answers:

GrogVix [38]3 years ago

7 0

Answer:168 ft3

Step-by-step explanation:

umka2103 [35]3 years ago

5 0

Answer:

D) 168 ft3

Step-by-step explanation:

The formula to find the volume of a cone is V=π $r^{2}$ $\frac{h}{3}$ .

We need to plug in the radius, 4, and the height, 10, into this equation.

V=π $(4)^{2}$ $\frac{10}{3}$

V=π16 $\frac{10}{3}$

V=π53.33

V=167.55

If we round up to the nearest whole number, we get 168 $ft^{3}$ . Therefore, the correct answer is D) 168 ft3.

I hope I helped!

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Which of the following scenarios MUST represent two independent events?

egoroff_w [7]

Answer: C) P(blue) = 70%, P(green) = 30%, P(blue and green) = 21%

Step-by-step explanation:

Given probabilities P(A) AND P(B) are independent, the probability that both events to occur is given by:

P(A)∩P(B)

thus from the example, independent events will be:

P(blue)=70%, P(green)=30%, P(blue and green)=21%

Because:

P(blue)∩P(green)=0.7×0.3=0.21=21%

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2 years ago

By what factor would your weight be multiplied if earth's diameter were 1/ 4 as big and earth's mass remained unchanged?.

GenaCL600 [577]

Answer:

Step-by-step explanation:

Your weight is (roughly) proportional to the inverse of the square of the distance you are from the center of the earth. If that distance is reduced to 1/4 its previous value, then your weight will be multiplied by the factor ...

1/(1/4)² = 16

You would weigh 16 times as much.

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<em>Additional comment</em>

The distribution of mass within the earth also affects your weight.

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2 years ago

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SashulF [63]

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3 years ago

The athletic departments at 10 randomly selected U.S. universities were asked by the Equal Employment Opportunity Commission to

Lesechka [4]

Answer: Mean = 3.5 , median = 2.5, mode = 2, geometric mean = 2.74

Median is the most appropriate measure of central tendency.

The least appropriate = mean

Yes there is an outlier.

Step-by-step explanation:

Given responses : 5, 4, 2, 1, 1, 2, 10, 2, 3, 5.

First arrange them in increasing order, $\sqrt[10]{1\times1\times2\times2\times2\times3\times4\times5\times5\times10 }\\\\=\sqrt[10]{24000} \approx2.74$

Its sum = 35

Mean of n observations = (Sum of observations) ÷ n

Mean = (35) ÷ 10

=3.5

Here n =10 (even)

Median = average of middle most numbers = $\dfrac{2+3}{2}=\dfrac52=2.5$

Mode = most repeated number = 2 (thrice)

geometric mean = $\sqrt[n]{x_1\times x_2\times.... x_n}$

10 is an outlier as it is very large as compare to other numbers.

When outlier is present in data , the median is the most appropriate measure of central tendency.

Mean affected badly by the outlier so it the least appropriate.

4 0

3 years ago

URGENT PLEASE HELP !!!!!

Mumz [18]

Answer:

Let P represent the number of pies sold and J represent the number of juices sold.

The first equation for the sum of the sales:

P + J = 79

P = 79 - J

Next, for the sum of the amounts earned:

1.65P + 1.36J = 118.17

Substituting P,

1.65 (79 - J) + 1.36J = 118.17

J = 42

Using this value of J,

P = 79 - 42

P = 37

Mr. Sanchez's class earned: 1.65 x 37 = $61.05

Mr. Kelly's class earned: 1.36 x 42 = $57.12

So Mr. Sanchez's class earned more money.

c) Mr. Sanchez's class earned:

61.05 - 57.12

= $3.93 more than Mr. Kelly's class

Step-by-step explanation:

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3 years ago