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coldgirl [10]
3 years ago
5

The formula s=SA/6 gives the length of the side s, of a cube with a surface area SA. With a surface area of 240 square meters th

an a cube with the surface area of 180 square meters?
Mathematics
1 answer:
Delvig [45]3 years ago
6 0

Answer:

0.84 m

The side of the cube with the surface area of 240 square meters is <u>0.84 meters</u> longer than the cube with the surface area of 180 square meters.

Step-by-step explanation:

The correct question must be:

The formula s=\sqrt{\frac{SA}{6}} gives the length of the side, s, of a cube with the surface area, SA. How much longer is the side of the cube with a surface area of 240 square meters than a cube with the surface area of 180 square meters ?

Given formula to calculate side of a cube:

s=\sqrt{\frac{SA}{6}}

where sis the side of the cube and SA is the surface area of the cube.

For a cube with surface area of 240 square meters, the side can be calculated as:

s=\sqrt{\frac{240}{6}}

s=6.32\ m

For a cube with surface area of 180 square meters, the side can be calculated as:

s=\sqrt{\frac{180}{6}}

s=5.48\ m

<em>The difference in the sides of the cubes is</em> = 6.32\ m-5.48\ m=0.84\ m

Thus, the side of the cube with the surface area of 240 square meters is 0.84 meters longer than the cube with the surface area of 180 square meters.

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Step-by-step explanation:

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Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The expected value of the binomial distribution is:

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The standard deviation of the binomial distribution is:

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