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Gwar [14]
2 years ago
10

My bed is 3 inches by 2 2/3 inches by 1/3 inch.What is the volume of my bed

Mathematics
2 answers:
Gekata [30.6K]2 years ago
5 0

Answer:

2 2/3

Step-by-step explanation:

V=whl

3*8/3*1/3

3*8/3=8

8*1/3= 8/3= 2 2/3

pshichka [43]2 years ago
4 0

Answer:

volume of the bed is {\frac{8}{3}} cubic inches.

Step-by-step explanation:

It is given that the bed is 3{\times}2{\frac{2}{3}}{\times}{\frac{1}{3}} inches, thus the volume of the bed is given as:

V=l{\times}w{\times}h where l is the length, w is the width and h is the height of the bed.

Now, substituting the given values, we get

V=3{\times}2{\frac{2}{3}}{\times}{\frac{1}{3}}

V=3{\times}{\frac{8}{3}}{\times}{\frac{1}{3}}

V={\frac{8}{3} cubic inches.

Thus, the volume of the bed is {\frac{8}{3}} cubic inches.

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a) The minimum head breadth that will fit the clientele = 4.105 inches to 3d.p = 4.1 inches to 1 d.p

b) The maximum head breadth that will fit the clientele = 8.905 inches to 3 d.p = 8.9 inches to 1 d.p

Step-by-step explanation:

This is normal distribution problem.

A normal distribution has all the data points symmetrically distributed around the mean in a bell shape.

For this question, mean = xbar = 6.1 inches

Standard deviation = σ = 1 inch

And we want to find the lowermost 2.3% and uppermost 2.3% of the data distribution.

The minimum head breadth that will fit the clientele has a z-score with probability of 2.3% = 0.023

Let that z-score be z'

That is, P(z ≤ z') = 0.023

Using the table to obtain the value of z'

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But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z' = (x - xbar)/σ

- 1.995 = (x - 6.1)/1

x = -1.995 + 6.1 = 4.105 inches

The maximum head breadth that will fit the clientele has a z-score with probability of 2.3% also = 0.023

Let that z-score be z''

That is, P(z ≥ z'') = 0.023

Using the table to obtain the value of z''

P(z ≥ z") = P(z ≤ -z")

- z'' = - 1.995

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P(z ≥ 1.995) = 0.023

But z-score is for any value, x, is that value minus the mean then divided by the standard deviation.

z'' = (x - xbar)/σ

1.995 = (x - 6.1)/1

x = 1.995 + 6.1 = 8.905 inches

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3 years ago
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