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ZanzabumX [31]
3 years ago
13

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will b

e needed to fill the room?
Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

10344.827586 basketballs

Step-by-step explanation:

A room measures 15 ft by 20 ft by 10 ft. If a basketball has a diameter of 9.6 inches, approximately how many basketballs will be needed to fill the room?

Step 1

We find the volume of the room

The room is rectangular in shape

Volume = Length × Width × Height

= 15ft × 20ft × 10ft

= 3000ft³

Step 2

Basket ball is spherical in shape

Volume of a sphere = 4/3πr³

Diameter = 9.6 inches

Radius = Diameter/2 = 9.6 /2 = 4.8 inches

Convert Radius from inches to ft

= 4.8inches/12

= 0.408333 feet

Volume of a sphere = 4/3 × π × 0.408333³

= 0.29 ft³

Step 3

3000 ÷ 0.29

10344.827586

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28 days or 672 hours
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Or of the following numbers from least to greatest.
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First, change the fractions into decimals. 7 3/4 changes to 7.75 and -7 2/3 changes to -7.66. And then order up the numbers from least to greatest. That will be -7.66(-7 2/3), then -7.3, then 7.23, and then 7.75(7 3/4)
3 0
4 years ago
The scores on a math test are normally distributed with a mean of 78 and a standard deviation of 6. The test scores range from 0
Hunter-Best [27]

Answer:

The estimate for the number of students who took the test is 23.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 78

Standard deviation = 6

Since the normal distribution is symmetric, 50% of the students had scores above the mean and 50% had scores below the mean.

Proportion of students who scored between 72 and 90:

72 = 78 - 6

So 72 is one standard deviation below the mean.

Of the 50% of the students who scored below the mean, 68% scored above 72.

90 = 78 + 2*6

So 90 is two standard deviations above the mean.

Of the 50% of the students who scored above the mean, 95% scored below 72.

Then

0.68*0.5 + 0.95*0.5 = 0.815

81.5% of the students scored between 72 and 90.

Nineteen students had test scores between 72 and 90. Estimate the number of students who took the test.

19 is 91.5% = 0.815 of the total number of students.

How much is 100% = 1?

19 - 0.815

x - 1

0.815x = 19

x = \frac{19}{0.815}

x = 23.3

Rounding to the nearest whole number

The estimate for the number of students who took the test is 23.

6 0
4 years ago
Kali earns $8 per hour. She worked x hours on both Monday and Tuesday. She also worked 5 hours on Thursday. The expression that
Sergio039 [100]

Answer:

2(8x)+5(8)

8

Step-by-step explanation:

The computation of the number that should go to finished the expression is as follows:

Given that

Kali earns $ 8 per hour.

If she worked for n hours so it would be $8n

And she worked on both monday and tuesday for x hours

So, the x hour earning is $8x and for both days it would be $2 (8x)

In addition to this, she worked 5 hours on thursday

So her earnings on thursday is  5×8=40

So, the total earning for the week is

2(8x)+5(8)

4 0
3 years ago
Read 2 more answers
4g−124, g, minus, 12 when g=5g=5
allsm [11]

Answer:

4g-124= -104, g-12= -7

Step-by-step explanation:

g=5

4g-124= ?     g-12

4(5)-124         5-12

4(5)= 20        5-12= -7

20 - 124= -104

4 0
4 years ago
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