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777dan777 [17]
3 years ago
13

Solved Thanks,ghjggjjjkk

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

Step-by-step explanation:

Incomplete question.

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The lengths of nails produced in a factory are normally distributed with a mean of 4.84 centimeters and a standard deviation of
Helga [31]

Answer:

Top 3%: 4.934 cm

Bottom 3%: 4.746 cm

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 4.84, \sigma = 0.05

Top 3%

Value of Z when Z has a pvalue of 1 - 0.03 = 0.97. So X when Z = 1.88.

Z = \frac{X - \mu}{\sigma}

1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*1.88

X = 4.934

Bottom 3%

Value of Z when Z has a pvalue of 0.03. So X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 4.84}{0.05}

X - 4.84 = 0.05*(-1.88)

X = 4.746

8 0
3 years ago
Does 4 = 2+2 it seem like I'm really dumb but, trust me this is really hard
igomit [66]

Answer:

Yes it does

Sorry I need 20 characters so 2+2=4 there you go

5 0
3 years ago
Read 2 more answers
Translate the sentence into an inequality. Twice the difference of a number and 7 is at most −20 . Use the variable y for the un
3241004551 [841]
If the number is y then the inequality is
twice the difference of y and 7=2(y-7)
at most- 20=less than or equal to
2(y-7)≤-20
5 0
3 years ago
The sum of Jessica and her father is 42. If her father is 5 times her age, find the age of Jessica
Nostrana [21]

Answer:

8 and a half

Step-by-step explanation:

you will divide 42 and the 5

8 0
3 years ago
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The customer saves $1.65 by using a coupon. The coupon takes 30% off the original price of the cereal. What is the original pric
Ierofanga [76]
The original box was $5.50
7 0
3 years ago
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