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IRINA_888 [86]
3 years ago
14

On a unit test in a statistics class, the teacher determines that the mean test grade was 77.5 with a standard deviation of 5.2.

One test grade has a z-score of 2.4. Which of the following statements gives the best interpretation of this z-
score?

A. This student's test grade was higher than 2.4% of the other students' test grades.

B. This student's test grade was 2.4 standard deviations above the mean test grade.

C. This student's test grade was 2.4 standard deviations below the mean test grade.

D. The student's test grade was lower than 2.4% of the other students' test grades.​
Mathematics
1 answer:
katovenus [111]3 years ago
5 0

Answer: B. This student's test grade was 2.4 standard deviations above the mean test grade.

====================================================

Explanation:

The z score tells us how far away the raw score is from the mean. This distance is in terms of standard deviations.

  • z = 1 means we're 1 standard deviation above the mean
  • z = 2 means we're 2 standard deviations above the mean

and so on.

Negative z scores indicate the raw score is below the mean.

  • z = -1 means we're 1 standard deviation below the mean
  • z = -2 means we're 2 standard deviations below the mean

and so on. So that's why z = 2.4 indicates the students test grade was 2.4 standard deviations above the mean.

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Answer:c

Step-by-step explanation:

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3 years ago
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the length of a rectagle is 5 in longer than its width. if the perimeter of the rectangle is 56 in, find its length and width
lisabon 2012 [21]

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5)    = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5   = 56

4x  + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

            = 16.5 in

3 0
2 years ago
What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)?
Anna [14]
First reduce the brackets
Next Expand the expression
Then gather all like terms
And lastly simplify

Answer: B) 

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5 0
3 years ago
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When Jean was asked to say what the 3 in the fraction 2
JulijaS [17]

Fractions are quotients of two integers

A better way to say what the 3 in 2/3 represents is that, 3 is the denominator

<h3>How to determine what 3 represents</h3>

The fraction is given as: 2/3

A fraction is represented as: Numerator/ Denominator

By comparison;

  • Numerator = 2
  • Denominator = 3

Hence, a better way to say what the 3 in 2/3 represents is that, 3 is the denominator

Read more about fractions at:

brainly.com/question/11562149

7 0
2 years ago
Please explain also! I am not here just to get answers, I am here to understand. Thank you!
kolezko [41]

To help solve this, we need to use the slope formula.

(y2 - y1) / (x2 - x1). We get these values by picking two points on a line.

For JL, we will pick points (-5, -3) and (-2, -4).

y1 = -4

y2 = -3

x1 = -2

x2 = -5.

Let's plug these into our formula.

(-3) - (-4) / (-5) - (-2) = -1/3

For LN, we will pick points (-2, -4) and (7, -7).

y1 = -7

y2 = -4

x1 = 7

x2 = -2.

Lets plug these values into our equation.

(-4) - (-7) / (-2) - (7) = -1/3

Therefore,

(-3) - (-4) / (-5) - (-2) = (-4) - (-7) / (-2) - (7)

The correct answer is G.

3 0
4 years ago
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