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Vlad1618 [11]
3 years ago
15

"determine the ratio of the volume of a" cone to the volume of a cylinder with the same height and base radius:

Mathematics
1 answer:
hichkok12 [17]3 years ago
4 0
Volume of cone is 10
if the radius is r and height is h
while volume of cylinder is pi r 2nd power h,
volume of cone is 1/3 pi r 2nd power h.
hence with same r and h the volume of cone is one-third of that of cylinder and hence 
volume of cone is 10.

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"Data from the World Health Organization in 2013 were used to predict the life expectancy of men in a country from the life expe
marshall27 [118]

Answer:

The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

Step-by-step explanation:

The least square regression line is used to predict the value of the dependent variable from an independent variable.

The general form of a least square regression line is:

\hat y=\alpha +\beta x

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>α</em> = intercept

<em>β</em> = slope

The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:

\hat y=3.73 +0.88 x

Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:

\hat y=3.73 +0.88 x

  =3.73 +(0.88\times 70)\\=3.73+61.6\\=65.33

Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.

6 0
4 years ago
An airplane travels 6903 kilometers against the wind in 9 hours and 8613 kilometers with the wind in the same amount of time. Wh
Rzqust [24]

Answer:

The rate of the plane is 862 miles per hour

Step-by-step explanation:

An airplane travels 6903 kilometers against the wind in 9 hours.

Speed = distance / time

Speed of the airplane while travelling against the wind is

6903/9 = 767 miles per hour

The airplane travelled 8613 kilometers with the wind in the same amount of time. This means that the speed while travelling with the wind will be

8613/9 = 957 miles per hour

Let x = speed of the airplane

Let y = speed of the wind

While travelling against the wind,

x - y = 767 - - - - - -- 1

While travelling with the wind,

x + y = 957 - - - - - - -2

Subtracting equation 2 from equation 1,

-y - y = 767 - 957

-2y = -190

y = -190/-2

y = 95 miles per hour

x = 957 - y

x = 957 - 95

x = 862 miles per hour

4 0
4 years ago
Select all the rates that correspond to a unit rate of $6 per sandwich. You must select all correct responses to receive credit.
faltersainse [42]

Answer:

B, C, and E

Step-by-step explanation:

A. 42/6 = 7     Not correct

B. 42/7 = 6     Correct

C. 108/18 = 6  Correct

D. 40/5 = 8     Not correct

E. 96/16 = 6     Correct

5 0
3 years ago
90 hundreds = how many thousands
alina1380 [7]

we know that

90 hundreds=90*100\\ =9,000

and

one.thousand=1,000

So

Divide

9,000 by 1,000

\frac{9,000}{1,000} =9

therefore

the answer is

9

3 0
3 years ago
Read 2 more answers
The graph of the sine curve below is of electromagnetic energy that represents indigo light:
makkiz [27]
The answer is <span>f(x) = sin pi over 215x
I just took the test</span>
4 0
3 years ago
Read 2 more answers
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