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Hitman42 [59]
3 years ago
11

The inside dimensions of a rectangular box are 8 inches by 6 inches by 16 inches. How many cubes with the dimensions of 2 inches

by 2 inches by 2 inches can be packed in the box ?
Mathematics
1 answer:
Reil [10]3 years ago
3 0

Answer:

Can be packed 96 cubes in the box

Step-by-step explanation:

To solve this exercise we are going to calculate the two volumes

To calculate the volume of a rectangular prism we have to use the following formula:

v = volume

w = width  = 8 in

l = length  = 6 in

h = height  = 16 in

v = w * h * l

we replace the values that ​​we know        

v = 8 in * 6in * 16 in

v = 768 in³

The volume of the box is 768 in³

Now we calculate the volume of the cube

v = 2in * 2in * 2in

v = 8 in³

Now we divide the volume of the box by the volume of the cubes and it will tell us how many cubes fit in the box

768 in³  / 8 in³  = 96

Can be packed 96 cubes in the box

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Answer:

option (b) is correct.

The value of g(f(3)-2f(1))  is 0.

Step-by-step explanation:

Given: g(t)=t^2-t and f(x)=1+x

We have to find the value of g(f(3)-2f(1))

Consider the given function f(x)=1+x

First evaluate value of function f(x) at x = 3 and 1 then substitute it in g(f(3)-2f(1)) .

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Now evaluate g(t)=t^2-t at t = 0 , we get,

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Thus, option (b) is correct.

4 0
3 years ago
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At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. a random s
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Complete Question:

Heights of 9-Year-Olds At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. A random sample of 9-year-olds yielded these results. Estimate the mean difference in height between boys and girls with 95% confidence. Does your interval support the given claim?

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Sample Size                60                  50

Mean Height, cm        123.5             126.2

Population variance      98                 120

a.State the hypotheses and identify the claim.

b.Find the critical value(s).

c.Compute the test value.

d.Make the decision.

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Answer:

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Step-by-step explanation:

We are asked to choose the correct definition of frame from our given choices.

We know that a frame, in statistics, is a list of all those within a population who can be sampled. It may include individuals, households or institutions.

We also know that a frame is the source material or device from which a sample is drawn.

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Answer:diameter=9.92m

Step-by-step explanation:

Area=77.28

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77.28/3.14=(3.14x(d/2)^2)/3.14

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