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Contact [7]
3 years ago
10

Use the given function F(x)= 0.08x+4.02 to evaluate the values below

Mathematics
1 answer:
evablogger [386]3 years ago
3 0

Step-by-step explanation:

Substituting value of x in the equation we get the answers.

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According to the empirical (69-95-99.7) rule, if a random variable z has a standard normal distribution, then approximately 95%
Dmitry_Shevchenko [17]

Using z-scores, it is found that the value of z is z = 1.96.

-----------------------------

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean \mu and standard deviation \sigma, is given by:  

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

  • It measures how many standard deviations the measure is from the mean.
  • Each z-score has an associated p-value, which is the percentile.

  • The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
  • The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
  • The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
  • Thus, the value of Z is 1.96.

A similar problem is given at brainly.com/question/16965597

7 0
2 years ago
What is the solution to this equation? <br> 3x-x+8+5x-2=10
Kaylis [27]
3x - x + 8 + 5x - 2 = 10

combine like terms on the left, then add or subtract as asked
(3x - x + 5x) + (8 - 2) = 10

7x + 6 = 10
subtract 6 from both sides

7x = 4
divide both sides by 7

x = 4/7

Hope this helps! :)
7 0
4 years ago
How many more people studied for 0-30 minutes than people who studied for 121-150 minutes?
Rama09 [41]

Answer:

5 more people studied more in 0-30 minutes than people who studied 121-120 minutes.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
I need help with this math ​
ryzh [129]

Answer:

Right angle

Step-by-step explanation:  you take the 57% angle and ad that with

the 33% angle and you got a prefect 90% also known as a "Right angle"

6 0
3 years ago
Lisa has collected data to find that the number of pages per book on a book shelf has a normal distribution. What is the probabi
aev [14]

Answer:

2.5% probability that a randomly selected book has fewer than 133 pages.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 189 pages

Standard deviation = 28 pages

What is the probability that a randomly selected book has fewer than 133 pages?

133 = 189 - 2*28

So 133 is two standard deviations below the mean.

The Empirical Rule states that 95% of the measures are within 2 standard deviations of the mean. The other 5% is more than two standard deviations distant from the mean. The normal distribution is symmetric, which means that of those 5%, 2.5% are more than 2 standard deviations below the mean and 2.5% are more than 2 standard deviations above the mean.

This means that there is a 2.5% probability that a randomly selected book has fewer than 133 pages.

3 0
3 years ago
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