Plzzzzzz helpppppppppp

The college Physical Education Department offered an Advanced First Aid course last summer. The scores on the comprehensive fina

dmitriy555 [2]

Answer:

a)

b. Joel

c. Juan

d. Linda

b)

b. Joel

c)

a. Jan

f.Susan

d)

a. Jan: 140

b. Joel: 156

c. Juan: 196

d. Linda: 191

e. Robert: 183

f. Susan: 110

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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, positive z-scores are above the mean, negative are below the mean and 0 is 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 p-value, we get the probability that the value of the measure is greater than X.

Question a:

Robert, Juan and Linda had positive z-scores, so they scored above the mean, and the correct options are c,d,e.

(b) Which of these students scored on the mean?

Joel, which had a z-score of 0, so the correct option is b.

(c) Which of these students scored below the mean?

Jan and Susan had negative z-scores, so them, options a and f.

Question d:

We have that $\mu = 156, \sigma = 24$ , so we have to find X for each student.

Jan:

Z = -0.65. So

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

$-0.65 = \frac{X - 156}{24}$

$X - 156 = -0.65*24$

$X = 140$

b. Joel

Z = 0, so:

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

$0 = \frac{X - 156}{24}$

$X - 156 = 0*24$

$X = 156$

c. Juan

Z = 1.66, so:

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

$1.66 = \frac{X - 156}{24}$

$X - 156 = 1.66*24$

$X = 196$

d. Linda

Z = 1.46. So

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

$1.46 = \frac{X - 156}{24}$

$X - 156 = 1.46*24$

$X = 191$

e. Robert

Z = 1.11. So

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

$1.11 = \frac{X - 156}{24}$

$X - 156 = 1.11*24$

$X = 183$

f. Susan

Z = -1.9. So

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

$-1.9 = \frac{X - 156}{24}$

$X - 156 = -1.9*24$

$X = 110$

8 0

3 years ago

What is the slope in the line formed by points (-1,-2) and (3,-3

tia_tia [17]

Slope of the line formed by points (-1,-2) and (3,-3) is $Slope=\frac{-1}{4}$

Step-by-step explanation:

We need to find slope of the line formed by points (-1,-2) and (3,-3)

Finding slope:

The formula used is:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

here, $x_1=-1,y_1=-2,x_2=3,y_2=-3$

Putting values and finding slope:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

$Slope=\frac{-3-(-2)}{3-(-1)}$

$Slope=\frac{-3+2}{3+1}$

$Slope=\frac{-1}{4}$

So, slope of the line formed by points (-1,-2) and (3,-3) is $Slope=\frac{-1}{4}$

Keywords: Equation of line using Slope

Learn more about Equation of line using Slope at:

#learnwithBrainly

3 0

3 years ago

13. Solve for y: 39x – 3y = 21

Agata [3.3K]

39x-3y=21
-3y=21-39x
(subtract both sides of the equation by 39x and divide both sides by -3)
y=-7+3x : would be the equation for y.

3 0

3 years ago

1/2(8-6y) + 1/5(10y - 25)<br> Please help :)

Nina [5.8K]

9-5y , o tambien puede ser -y-1

6 0

3 years ago

Find the square root of 8-2√5

Alex787 [66]

Answer:

1.88

Step-by-step explanation:

8-2√5=3.527864045

square root of 3.527864045=1.87826090972

the question will probably want it to 2d.p (decimal places) which means the answer would be 1.88

4 0

4 years ago

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