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Anestetic [448]
3 years ago
9

A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p

roduction sample of 80 parts, what proportion of the sample can be expected to fall between 28 and 32 cm
Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

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Molodets [167]

Answer:

( {x}^{2}  + 16x + 64) - (x + 8)(x - 4) = k(x + 8) \\ ( {x + 8)}^{2}  - (x + 8)(x - 4) = k(x + 8) \\ (x + 8) - (x - 4) = k \\ k = (x - x) + (8 + 4) \\ k = 12

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2 years ago
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Jasmine goes bowling. She has $25.00 spend. She spends $4.50 to rent shoes. She spends $2.50 for each game she
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Answer:

25.00 < (with a line  under it) 4.50+2.50x

Step-by-step explanation:

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Katie has read 32 % of a book. If she has read 80 pages, how many more pages does Katie have left to read?
mestny [16]
Percentage of pages of a book read by Katie = 32%
Total number of pages of the book read by Katie = 80
Let us assume the number of pages that the book has = x
Then
(32/100) * x = 80
32x = 80 * 100
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x = 8000/32
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So the book has a total of 250 pages in it.
Then
The number of pages that Katie still needs to read = 250 - 80
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So Katie needs to read 170 more pages in the book.

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4x-1=3(x-1) Please help!
Sveta_85 [38]

Answer:

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Step-by-step explanation:

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5 0
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Which statement best explains the value of 16 − (−3)?
natta225 [31]

Answer:

  • The additive inverse of −3 is +3, so 16 − (−3) = 19
  • negative 6 over 8 minus negative 1 over 8 = negative 5 over 8; therefore, the distance from A to B is absolute value of negative 5 over 8 equals negative 5 over 8 units
  • Because it is 3 units to the left of 2 on a horizontal number line

Step-by-step explanation:

The answers <em>are</em> the explanation.

__

<em>Comment on the second question</em>

Note that the second question asks for the distance from -6/8 to -1/8. Ordinarily, the distance from A to B would be computed as B - A. In this set of answer choices, it is computed as |A - B|. In the end, the result is the same.

Personally, I would compute the distance between points on a number line by subtracting the left point from the right point. Here, that would also correspond to B - A.

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<em>Comment on choosing 'word' answers</em>

In a set of answers like these, one way to choose answers is simply to eliminate the ones that make a false statement. Often, you are left with only the correct answer choice.

For example, the statement "the additive inverse of -3 is -3" is a false statement, so the first two answer choices can be eliminated. Likewise, the statement 16 -(-3) = 13 is false, so that choice can be eliminated. The one remaining answer is the correct one.

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3 years ago
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