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soldier1979 [14.2K]
3 years ago
8

Need help with 16-20

Mathematics
1 answer:
Marta_Voda [28]3 years ago
6 0

16. 7

17. 250

18. 19.5

19. 45.09

20. 11.8

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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
What is 3√-1 square root
RUDIKE [14]

Answer:

3

Step-by-step explanation:

3√-1 = √9*-1= √-9 = 3 bcuase its always positive

6 0
2 years ago
Write a word name as you would on a check for the dollar amount $681.66. Choose the word name that would be written on a check f
Crank
Are you sure this is college mathimatics bec this doesn't look like it
7 0
3 years ago
.divide the problem.
quester [9]

Answer:

x - 2x - 15  \: divided \: by \: x - 3

  1. according to the above x²-2x-15 divided by the number below x-3 first I cancel out the x
  2. x  - 2x - 15 \: divided \: by \:  - 3
  3. the we solve the next x-5 divided by x²-9 then as usual rule out the x
  4. - 5 \: divided \: by \: x - 9
  5. now we only have x-2x-15 divided by-3 divided by-5÷x-9 now our next step is to again single the equations out
  6. x - 2x - 15 \: divided \: by \:  - 3 \: lets \: rue \\s \: rule \: out \:  - 3 \: and \: 15 \: giving \: us \: x - 2x - 5
  7. now the next -5 divided by x-9 here there's nothing to rule out therefore the sign "÷" is changed to "×" cancel out the -5 and therefore we have
  8. x - 2x = x - 9 \: as \: final \: answer

6 0
2 years ago
In Daniel’s fifth grade class, 37.5% of the 24 students walk to school. One-third of the walkers got a ride to school today from
Alexeev081 [22]
The percentage of walkers who got a ride is 37.5/3=12.5%
The number of that is 0.125*24=3 students.
5 0
3 years ago
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