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antiseptic1488 [7]
3 years ago
7

A pretzel company calculated that there is a mean of 75.4 broken pretzels in each production run with a standard deviation of 5.

2. If the distribution is approximately normal, find the probability that there will be fewer than 66 broken pretzels in a run.
Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Answer:

P [ Z < 66 ]  = 35,15 %

Step-by-step explanation:

Normal Distribution

Population mean μ₀  = 75,4

Standard deviation  σ = 5,2

Then:

P [ Z < 66 ]  =  ( 66 - 75,4 ) / 5,2

P [ Z < 66 ]  = - 9,4 / 5,2

P [ Z < 66 ]  = - 1,81

In z-table we look for the reciprocate area for that  z score and find

P [ Z < 66 ]  = 0,3515

P [ Z < 66 ]  = 35,15 %

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Answer:

see the explanation

Step-by-step explanation:

we know that

If the triangular piece of sheet metal is a right triangle, then the side lengths must satisfy the Pythagorean Theorem

so

c^2=a^2+b^2

where

c is the hypotenuse (the greater side)

a and b are the legs of triangle

we have

c=205\ cm\\a=156\ cm\\b=133\ cm

substitute

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42,025=42,025 ----> is true

so

The side lengths satisfy the Pythagorean Theorem

therefore

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