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stich3 [128]
1 year ago
12

Scores on an exam follow an approximately normal distribution with a mean of 76. 4 and a standard deviation of 6. 1 points. What

is the minimum score you would need to be in the top 2%?.
Mathematics
1 answer:
crimeas [40]1 year ago
5 0

If scores on an exam follow an approximately normal distribution with a mean of 76.4 and a standard deviation of 6.1 points, then the minimum score you would need to be in the top 2% is equal to 88.929.

A problem of this type in mathematics can be characterized as a normal distribution problem. We can use the z-score to solve it by using the formula;

Z = x - μ / σ

In this formula the standard score is represented by Z, the observed value is represented by x, the mean is represented by μ, and the standard deviation is represented by σ.

The p-value can be used to determine the z-score with the help of a standard table.

As we have to find the minimum score to be in the top 2%, p-value = 0.02

The z-score that is found to correspond with this p-value of 0.02 in the standard table is 2.054

Therefore,

2.054 = x - 76.4 ÷ 6.1

2.054 × 6.1 = x - 76.4

12.529 = x - 76.4

12.529 + 76.4 = x

x = 88.929

Hence 88.929 is calculated to be the lowest score required to be in the top 2%.

To learn more about normal distribution, click here:

brainly.com/question/4079902

#SPJ4

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(21 + 34 + x + 25 + 37 + 22) / 6 = 30
(139 + x) / 6 = 30 .....multiply both sides by 6
139 + x = 30 * 6
139 + x = 180
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3 years ago
Five carpenters worked 15 & 3/4, 15 & 1/4, 17 & 1/2, 12 & 1/2 and 17 & 1/2 hours respectively. What was the
azamat

<u>The total </u><u>labor cost</u><u>  of the carpenters is $2296.91</u>

The carpenters worked 15\frac{3}{4} , 15\frac{1}{4}, 17\frac{1}{2}, 12\frac{1}{2}, 17\frac{1}{2}

<h3>Conversion of Fraction</h3>

Let's convert the mixed fraction to improper fraction

So, we would have

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<h3>Working Cost</h3>

Let's sum it up and multiply by the working cost per hour

63/4 + 61/4 + 35/2 + 25/2 + 35/2 =78.5

  • The total labor cost is = total hours worked * hourly rate.

This becomes 78.5*29.26=2296.91

<u>The total labor cost is $2296.91</u>

Learn more about rate here;

brainly.com/question/1115815

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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