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Mekhanik [1.2K]
2 years ago
13

The air conditioning unit for marcus building has the shape of a cube and has a volume of 0.512 cubic meters.This air conditione

r will be replaced with another cube-shaped unit with a volume of 1 cubic meter. By how much will the edge length of the air conditioner change?
Mathematics
1 answer:
katrin [286]2 years ago
8 0

Answer:

The edge length of the air conditioner changed by 0.2m

Step-by-step explanation:

The volume of a cube is S^3

The edge length of the former unit is cube root of 0.512 which is 0.8 m

The edge length of the new is cube root of 1 which is 1 m

The difference is 1-0.8 = 0.2 m

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See attachment for triangle

<em></em>

Step-by-step explanation:

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Required

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Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class wit
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Answer:

Probability that exactly 5 of them have blue eyes is 0.1165.

Step-by-step explanation:

We are given that Researchers claim that 8% of people have blue eyes. Suppose the researchers' claim is true. Mrs. Greene has a Geometry class with 40 students.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 40 students

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           p = probability of success which in our question is % of people

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<em>LET X = Number of students having blue eyes</em>

So, it means X ~ Binom(n= 40,p=0.08)

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Therefore, Probability that exactly 5 of them have blue eyes is 0.1165.

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