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podryga [215]
2 years ago
5

Suppose that weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standa

rd deviation 0.6 ounces. A bag of chips is taken off the conveyor belt and weighed. If the weight found was 12.55 ounces, then what is the corresponding z-score for that data?
Round your answer to two decimal places.
Mathematics
1 answer:
alisha [4.7K]2 years ago
4 0

Answer:

std dev = 0.625

Given that  weights of bags of potato chips coming from a factory follow a normal distribution with mean 12.8 ounces and standard deviation .6 ounces.

We must change std deviation such that

P(X<12) =0.01

Mean would remain the same as 12.8 oz

From normal distribution score we can find

10th percentile is -1.28\

i.e. we must have

Std deviation should be 0.625

Step-by-step explanation:

Hope this helps:)

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Answer:

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Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

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•They must be separated by a negative sign.

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First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

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Then, find 2 squares that times together to make 49.

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You can put the two squares into a bracket with the x variable first, then the number:

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In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

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