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evablogger [386]
3 years ago
15

In a normal distribution, what is the probability that a randomly selected data value will fall within two standard deviations o

f the mean? Give your answer as a whole number percent.
Mathematics
1 answer:
Zepler [3.9K]3 years ago
5 0
The answer is 95%

This is something you should memorize. Specifically it is from the Empirical Rule (or 68-95-99.7 rule) which gives rough approximations of areas under the curve. 
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Kimmy earns a $200 commission on all
aalyn [17]
The equation is 30,000+200x=80,000. X is the number of sales.
8 0
3 years ago
9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan
Travka [436]

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

y=3x

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

y=3+2x

Therefore, the equations of Nancy and Juan are y=3x and y=3+2x respectively.

5 0
3 years ago
PLZ HELP
Agata [3.3K]

Answer:

\frac{5x^{2} }{12}

Step-by-step explanation:

Given: Height: x

          Base: \frac{5x}{6}

Now, finding the area of triangle.

Formula; Area of triangle= \frac{1}{2} \times base\times height

⇒ Area of triangle= \frac{1}{2}\times \frac{5x}{6} \times x

⇒ Area of triangle= \frac{5x^{2} }{12}

Hence, area of triangle= \frac{5x^{2} }{12}

4 0
3 years ago
A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s
Naily [24]

Answer:

The mean is \mu = 131

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\sigma = 39

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

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

2 = \frac{209 - \mu}{39}

209 - \mu = 2*39

\mu = 209 - 78

\mu = 131

The mean is \mu = 131

7 0
2 years ago
Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle. She ar
-Dominant- [34]
The right answer for the question that is being asked and shown above is that: "180 - line." Tanisha cut a triangle with angles of 62°, 30°, and 88° in three pieces so that each piece had one angle of the triangle.She arranged the three angles <span>connected together such that the three corners of the triangle were all touching.</span><span> </span>
8 0
2 years ago
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