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Ierofanga [76]
3 years ago
10

OMG HELP ILL GIVE U BRAINLIEST HDSJSHXHX

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0
ITS OK DONT MARK ME AS BRAINLIEST CAUSE IM PRETTY SURE LKJNTF CAN ANSWER IT
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The lengths of nails produced in a factory are normally distributed with a mean of 5.02 centimeters and a standard deviation of
zaharov [31]

Answer:

The length that separates the top 6% is 5.1 centimeters.

The length that separates the bottom 6% is 4.94 centimeters.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 5.02, \sigma = 0.05

Find the two lengths that separate the top 6% and the bottom 6%.

Top 6%:

The 100-6 = 94th percentile, which is X when Z has a pvalue of 0.94. So X when Z = 1.555.

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

1.555 = \frac{X - 5.02}{0.05}

X - 5.02 = 1.555*0.05

X = 5.1

So the length that separates the top 6% is 5.1 centimeters.

Bottom 6%:

The 6th percentile, which is X when Z has a pvalue of 0.06. So X when Z = -1.555.

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

-1.555 = \frac{X - 5.02}{0.05}

X - 5.02 = -1.555*0.05

X = 4.94

The length that separates the bottom 6% is 4.94 centimeters.

7 0
3 years ago
Anyone alive I need this answer
Juliette [100K]
503 lol I’m alive kid
5 0
3 years ago
The admission to the fair is $5 and the cost per ride is 50 cents. If his parents give hime $20, write and solve a linear equati
solniwko [45]

Answer:

Step-by-step explanation:

The admission to the fair is $5 and the cost per ride is 50 cents.

Let the number of rides that he can go on be x

If one ride costs 50 cents, x rides will cost 50×x = 50x cents. Converting 50 cents to dollar, it becomes 50/100 = $0.5.

So x rides will cost $0.5x

If his parents gave him $20, he will pay $5 to be admitted into the fair. He would be left with 20- 5 = $15

The equation to find how many rides he can go on will be

0.5x = 15

Since one ride costs $0.5

x rides cost $15

x = 15/0.5 = 30

He can go on 30 rides

8 0
3 years ago
Is math<br><br> a. bad<br> b. bad<br> c. bad<br> d. all of the above
Elina [12.6K]

Answer:

D

Step-by-step explanation:

brainliest pls

7 0
3 years ago
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A group of students plotted the number of hours they worked and the number of hours they spent talking to their friends on the p
deff fn [24]
The correct answer is <span>C:Greater hours worked, fewer hours spent talking on the phone.
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3 years ago
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