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strojnjashka [21]
4 years ago
12

Tennis balls with a diameter of 2.5 in.are sold in cans of three. The can is a cylinder. What is the volume of the space in the

can that is not occupied by tennis balls? Assume the tennis balls touch the can on the sides, top, and bottom.
Mathematics
1 answer:
Alexxandr [17]4 years ago
3 0

Using 3.14 for PI.

The radius of a ball and the can is half the diameter = 1.25

The height of the can is the height of 3 diameters = 7.5

Volume of one tennis ball:

4/3 x PI x 1.25^3 = 8.18 cubic inches.

Volume of 3 tennis balls: 3 x 8.18 = 24.54 cubic inches.

Volume of can:

PI x 1.25^2 x 7.5 = 36.80 cubic inches.

Space = 36.80 - 24.54 = 12.26 cubic inches.

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8 0
3 years ago
For what values of x is the expression below defined?<br> √x+4÷√1-x
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x=1

Step-by-step explanation:

4 0
2 years ago
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Meg has 32 feet of ribbon that she wants to divide into 4/5 of a foot pieces. How many 4/5 of a foot pieces are there in 32 feet
AveGali [126]

32 divided by 4/5=32*5/4/

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there are 40   4/5 foot pieces in 32 feet


3 0
4 years ago
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The life expectancy (in hours) of an electric bulb is normally distributed with a mean of 5000 and a standard deviation of 1000.
Sergeu [11.5K]

Answer:

P(z>1.3) = 0.9032

Step-by-step explanation:

We are given:

Mean = 5000

Standard deviation = 1000

x = 6300

P(x>6300)=?

z-score =?

z-score = x- mean/standard deviation

z-score = 6300 - 5000/1000

z- score = 1300/1000

z-score = 1.3

So, P(x>6300) = P(z>1.3)

Looking at the z-probability distribution table and finding value:

P(z>1.3) = 0.9032

So, P(z>1.3) = 0.9032

7 0
4 years ago
Barney's Book Store currently has 2000 books in stock. There are 3 times as many non-fiction books as fiction books. Determine t
xxMikexx [17]

Answer:

There are 1500 non fiction books and 500 fiction books currently in the store.

Step-by-step explanation:

Given:

Total Number of books = 2000

Let the number of fiction books be 'x'.

Now given:

There are 3 times as many non-fiction books as fiction books.

Number of non fiction books = 3x

We need to find the number of non-fiction and fiction books.

Solution:

Now we know that;

Total Number of books is equal to sum of the number of non-fiction and fiction books.

framing in equation form we get;

x+3x=2000\\\\4x=2000

Dividing both side by 4 we get;

\frac{4x}{4}=\frac{2000}{4}\\\\x= 500\ books

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Hence There are 1500 non fiction books and 500 fiction books currently in the store.

8 0
4 years ago
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