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Yanka [14]
2 years ago
15

The bottom layer of a rectangular prism contains 15 unit cubes The prism is made up of 5 equal-size layers what is the volume of

the prism in cubic units
Mathematics
1 answer:
borishaifa [10]2 years ago
6 0

Answer:

75 cubic units

Step-by-step explanation:

Bottom layer of a rectangular prism is made up of 15 unit cubes.

Therefore, area of the 15 unit cubes = 15(area of the base of one unit cube)

                                                            = 15(1)²

                                                            = 15 unit²

Number of layers of unit cubes in the rectangular prism = 5

So the height of the prism = 5 units

Volume of the prism = (Area of the base) × Height

                                  = 15 × 5

                                  = 75 cubic unit

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Step-by-step explanation:

Inserting 2 to both formulas, you get different results. In that cases, a limit does not exist

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3 years ago
Your friend is willing to pay no more than $17.000 on aneu cor.
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Answer:

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2 years ago
Bowie used 1/6 cup of rasperries and 1/5 cup of blueberries to make a berry smoothie. How much fruit did he use in total?
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Step-by-step explanation:

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3 years ago
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3 years ago
Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a
Alina [70]

Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a person has the disease

<em>P</em> = the test result is positive

<em>N</em> = the test result is negative

Given:

P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10

Compute the value of P (P|X) as follows:

P(P|X)=1-P(P|X^{c})=1-0.15=0.85

Compute the probability of a positive test result as follows:

P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22

Compute the probability of a person having the disease given that he/she was tested positive as follows:

P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

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