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weqwewe [10]
3 years ago
6

Given a normal distribution with a mean of 128 and a standard deviation of 15, what percentage of values is within the interval

83 to 173?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
Mathematics
1 answer:
tatyana61 [14]3 years ago
6 0

Answer:

E. 99.7%

Step-by-step explanation:

Calculate each z-score.

z = (x − μ) / σ

z = (173 − 128) / 15

z = 3

z = (x − μ) / σ

z = (83 − 128) / 15

z = -3

You can use a z-score table, or use the empirical rule.

P(-3 < z < 3) = 99.7%.

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FinnZ [79.3K]

Answer:

There are 60 tech workers altogether

Step-by-step explanation:

Let X be the total number of tech workers in the company

Out of X tech employees, 20 % applied for leaves

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Thus,

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On solving the above mathematical equation, we get -

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Hence, there are 60 tech workers altogether

6 0
2 years ago
The measure of an angle is three times the measure of its supplementary angle. What is the measure of each angle?
madreJ [45]

Answer:

45°

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Step-by-step explanation:

Let the measure of one angle be x

So, measure of its supplementary angle = 3x

\implies \: x  + 3x  = 180 \degree \\  \\  \implies \: 4x = 180 \degree  \\  \\\implies \: x = \frac{ 180 \degree}{4} \\  \\\implies \: x = 45 \degree \\  \\  \implies \: 3x  = 135 \degree

5 0
2 years ago
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Katena32 [7]

x + 15 = 24

subtract 15 from both sides

x = 24 - 15 = 9


4 0
3 years ago
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Volgvan

Answer:

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5 0
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39 + 45 = 84

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