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PilotLPTM [1.2K]
3 years ago
10

A scientist calculated the mean and standard deviation of a data set to be mean = 120 and standard deviation = 9. She then found

that she was missing one data value from the set. She knows that the missing data value was exactly 3 standard deviations away from the mean. What was the missing data value?
A. 129
B. 147
C. 360
D. 369
Mathematics
2 answers:
IceJOKER [234]3 years ago
7 0

Answer:

The missing data value is 147

Step-by-step explanation:

If a point lies 3 standard deviations away from the mean, then the data point can be determined by simplifying the expression; μ±3σ. Where μ is the mean and σ the standard deviation. In this case this would be; 120±3(9)

hoa [83]3 years ago
7 0

Answer: B on edg

Step-by-step explanation:

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2 years ago
The lengths of a particular snake are approximately normally distributed with a given mean mu = 15 in. and standard deviation si
Helga [31]

The percentage of the snakes is longer than 16.6 in. with a mean of 15 in. and a standard deviation of 0.8 in. is 2.275%.

<h3>What is a normal distribution?</h3>

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The z-score is a numerical measurement used in statistics of the value's relationship to the mean of a group of values, measured in terms of standards from the mean.

The lengths of a particular snake are approximately normally distributed with a given mean = 15 in. and standard deviation = 0.8 in.

Then the percentage of the snakes is longer than 16.6 in. will be

z = \dfrac{ x - \mu }{ \sigma }\\\\z = \dfrac{16.6-15}{0.8}\\\\z = 2

Then we have

\rm P(x > 16.6) = P(z > 2) = 0.02275  \ or  \ 2.275 \%

More about the normal distribution link is given below.

brainly.com/question/12421652

6 0
2 years ago
Simplify thefollowing algebraic expression 6(2y +8) -2 (3y
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Find the slope of the line through the points (-5, 2) and (5,0).
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A patient drinks 5 12ounce cups of coffee daily. The doctor recommends cutting back 60%, how many ounces of coffee can the patie
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The patient is recommended to take 24 ounces of coffee per day.

<u>Step-by-step explanation:</u>

Patient normal intake of coffee daily = 5 times 12 ounces

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Doctor recommends to cut off 60 % of the normal intake of coffee.

And advised to take only 40 % of the daily intake of coffee.

So 60 % of 60 ounces can be calculated as,

$\frac{60 \times 60}{100}= 36 ounces

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So 60 - 36 = 24 ounces of coffee per day

6 0
3 years ago
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