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Marat540 [252]
4 years ago
7

What is the probability that the small bowl of cereal contains more cereal than the large?

Social Studies
1 answer:
Sav [38]4 years ago
8 0

Answer:0.0228

Explanation:

Assuming the letter of Alphabet A is a random variable which represents the small bowl and the letter of Alphabet B is the random variable which represents the large bowl.......

Therefore, the total amount of large bowl and small bowl is B+A and the difference between the large bowl and the small bowl is B-A....................

The first thing to do is to find the variance followed by the determination of the z-score.

(A). Variance= σ= √( σ^2(B) + σ^2(A)..........-----------------------------------------------------------------------------------(1)..

Then,

σ= √(0.4^2 + 0.3^2).

σ= 0.5.

(B). Hence, we calculate for the z-factor.

Therefore, z= 0 - 1/ 0.5.

= -2.

So, P(B - A < 0) = 0.0228.

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The answer to the question is below:

If the designer of vegetable cans wants to double the area of the base of his new can but keep the same amount of content (i.e. the same volume), <u>what he should do with height is to reduce it by half</u>.

Explanation:

We will perform the appropriate mathematical process so you can see the change in the design of the can:

1. Suppose the can is cylindrical, since the vast majority of cans are, the volume formula that applies to a cylinder is:

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Therefore the volume formula could be:

  • <em>V= A*h</em>

We will provide a value of the volume (or the amount of product contained in the can) which will be 100 cm^3 in international units. If at the same time we assume that the area of the cylinder base is 12.5 cm^2, the formula would be:

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In the two different height values <u>you can identify that by doubling the area, the height was reduced by half</u>.

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