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wolverine [178]
3 years ago
5

If a data value in a normal distribution has a negative z-score, which of the following must be true?

Mathematics
2 answers:
Fynjy0 [20]3 years ago
8 0

Answer:

C. The data value must be less than the mean.

Step-by-step explanation:

We have been given a statement and we are asked to choose the correct option about our given statement.

Since a z-score tells us that a data value is how many standard deviation away from mean.

To find the z-score for a given data value or raw score, we subtract the mean of data set from the given raw score and divide the result by standard deviation of the data set

If a data value is greater than mean, then it will have a positive z-score. If a data value is smaller than mean, then it will have a negative z-score.

Upon looking at our given choices we can see that option C is the correct choice.

Tamiku [17]3 years ago
4 0
<span>The data value must be less than the mean.</span>
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15. An irregular pentagon has side lengths of (x + 3), (2x - 4), (4x + 5),
Kobotan [32]

Answer:

A. 11x-3

Step-by-step explanation:

perimeter=sum of all sides

=(x+3)+(2x-4)+(4x+5)+(3x-1)+(x)

= 11-3

3 0
2 years ago
Find the center and radius of the circle with the given equation. Then select the correct graph of the equation.
likoan [24]

Answer:

Step-by-step explanation:

In order to find the center and the radius of this circle, you have to complete the square on it. And only for the x-terms, because the y term is squared and there is no other y term. We'll get to that in a second.

Take half the linear x-term, square it and add it to both sides. Our linear term is 10. Half of 10 is 5, and 5 squared is 25. We add 25 to both sides:

The reason we do this is to create a perfect square binomial inside that set of parenthesis. Simplifying the right side as well gives us:

This tells us that the center is (-5, 0). Remember when I said we would get back to the y terms? Because there was only a y-squared and no other y terms, that is the same as writing the equation as

The radius is the square root of the constant. So the radius is 6.

D is the graph you want.

3 0
3 years ago
Describe or show two ways to find the following product: 1/4 x 2/3.
Anon25 [30]
1/4 = 0.25
2/3 = 0.666666667
0.25(0.666666667) = 0.166666667 = \frac{1}{6}
______________________________

\frac{1}{4} ( \frac{2}{3})  =  \frac{2}{12} =  \frac{1}{6} = 0.166666667

7 0
2 years ago
You just bought a new laptop and paid an initial payment of $150.00. You will make 12 payments of $69.50. How much will the comp
Flauer [41]

Using proportions, it is found that the computer will cost $1,043.04.

<h3>What is a proportion?</h3>

A proportion is a fraction of total amount.

In this problem, the total amount is composed by:

  • An initial payment of $150.
  • 12 payments of $69.50.
  • 6% sales tax, which means that the price is increased by 6%, that is, the previous amount is multiplied by 1.06.

Hence, the cost is given by:

C = 1.06 x (150 + 12 x 69.50) = 1043.04.

The computer will cost $1,043.04.

You can learn more about proportions at brainly.com/question/24372153

3 0
2 years ago
Write an inequality that describes the graph
umka2103 [35]

Answer:

y < 4

Step-by-step explanation:

4 0
3 years ago
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