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VikaD [51]
3 years ago
8

The diameter of a softball is 3.8 inches. Estimate the volume within the softball. Round answers to the nearest whole number and

leave in the answer.
Mathematics
1 answer:
bekas [8.4K]3 years ago
4 0

Answer:

Volume of softball is 29 cubic inches.

Step-by-step explanation:

Here we are given that the diameter of a softball is 3.8 inches.

To find the volume of the softball, we must consider the volume of a sphere formula, which is given by:

V=\frac{4}{3}\pi r^{3}

We also know that radius is half of diameter.

Radius of softball is half of 3.8 which is 1.9 inches.

Plugging this value in the formula, we have

V=\frac{4}{3}\pi (1.9)^{3}

Volume = 28.73 cubic inches.

Rounding to the nearest whole number:

Volume of softball will be 29 cubic inches.

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Elena randomly chooses a number from 1 to 10. What is the probability she chooses a number greater than 5?
zepelin [54]

ANSWER

P(E)=\frac{1}{2}

EXPLANATION

From the given information, Elena chooses a number from 1 to 10.

The sample space is

S={1,2,3,4,5,6,7,8,9,10}

n(S)=10

The numbers greater than 5 are:

E={6,7,8,9,10}

n(E)=5

The probability that, she chooses a number greater than 5 is:

P(E) =  \frac{n(E)}{n(S)}

Substitute the values,

P(E) =  \frac{5}{10}

P(E) =  \frac{1}{2}

5 0
2 years ago
Part 3: Write the equation of and graph an ellipse.
tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

The center is halfway between vertices, at (4, -6).

It is also halfway between foci.

:::::

The vertices are vertically aligned, so the parabola is vertical.

General equation for a vertical ellipse:

 (y-k)²/a² + (x-h)²/b² = 1

with

 center (h,k)

 vertices (h,k±a)

 co-vertices (h±b,k)

 foci (h,k±c), c² = a²-b²

Apply your data and solve for h, k, a, and b.

center (h,k) = (4, -6)

h = 4

k = -6

vertices (4,-6±a) = (4,-6±9)

a = 9

foci (4,-6±c) = (4,-6±5√2)

b² = a² - c² = 9² - (5√2)² = 31

b = √31

The equation becomes

 (y+6)²/81 + (x-4)²/31 = 1

:::::

length of major axis = 2a = 18

length of minor axis = 2b = 2√31

8 0
3 years ago
The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of \piπ.
zaharov [31]

Answer:

Area = 9π sq. m.

Step-by-step explanation:

C = πd

6π = πd

d = 6

r = 3

A = πr^{2} = π3^{2} =  9π sq. m.

5 0
2 years ago
The cost mailing a first class is $0.46 for the first ounce and $0.20 for each additional ounce or portion of an ounce. The lett
Georgia [21]

Answer:

The total cost will be y = 0.46 + 0.20x.In this case, the intercept slope

Step-by-step explanation:

6 0
2 years ago
1) Graph y = f(x) = 3(2)%. Adjust the equation to make the y-intercept (0, -3). Which response is not correct?
Karolina [17]

Using the concept of y-intercept, it is found that the response that is not correct is given by:

B) Replace x with -x.

<h3>What is the y-intercept of a function?</h3>

It is the value of the function when x = 0, hence it is the point (0, f(0)).

In this problem, the function is:

f(x) = 3(2)^x

The y-intercept is given by:

f(0) = 3(2)^0 = 3

If we just replace x with -x, we still have the same expression as above, hence the y-intercept does not change and option B is the answer to this question.

More can be learned about y-intercepts at brainly.com/question/24737967

7 0
2 years ago
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