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3 years ago

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

Mathematics

2 answers:

Snezhnost [94]3 years ago

7 0

Answer:

192

Step-by-step explanation:

Step 1:

The volume of the prism is 3 cubic units. This means the prism can be filled with 3 unit cubes.

Step 2:

How many cubes with 1/4-unit side lengths can fit in a cube with 1-unit side lengths?

Step 3:

There are 64 cubes with 1/4-unit side lengths in 1 cubic unit.

Step 4:

Since the rectangular prism is made up of 3 cubic units, we would have 3*64 total cubes with 1/4-unit side lengths.

3*64=192

Step 5:

It takes 192 of the 1/4 unit cubes to fill the prism.

ruslelena [56]3 years ago

6 0

Answer:

192

Step-by-step explanation:

The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.

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Angelina_Jolie [31]

Answer:

$P(X = 0) = 0.027$

$P(X = 1) = 0.189$

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$P(X = 3)= 0.343$

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each $x \leq n$ , the probability mass function is given by:

$P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}$

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We have 3 trials, so $n = 3$

The probability that a wafer pass a test is 0.7, so $p = 0.7$

Determine the probability mass function of the number of wafers from a lot that pass the test.

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Answer:5

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