Evaluate the expression 4x^2 + 3y for x = 5 and = 6.

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

PLEASE ANSWER

ycow [4]

12/16 = (3x-12)/(2x+8)

16(3x-12)=12(2x+8)

48x-192=24x+96

48x-24x=192+96

24x=288

X=288/24

X=12

3x-12

=(12x3)-12

=36-12

=24

C is the answer

Hope this helps!

5 0

3 years ago

Read 2 more answers

3) You stand 100 feet from a tree. The angle of elevation from you to the top of the tree is

kipiarov [429]

Answer:

107 feet

Step-by-step explanation:

tan 47= x/100

100tan47= x

107 = x

8 0

3 years ago

Stephanie's cable company charges $29.95 per month, plus $3.00 for each on-demand

Stels [109]

Answer:

5

Step-by-step explanation:

44.95-29.95=15/3=5

8 0

3 years ago

Which of the following square roots would not be between 7 and 8

bekas [8.4K]

Answer:

C, √45

Step-by-step explanation:

First, we can use process of elimination to get rid of A and D, since we know we're looking for a range, and only the highest or the lowest number is going to be outside of that range.

Now we simply have to run the remaining answers through our calculators. √62 is 7.87 and √45 is 6.71. Since 7.87 is between 7 and 8 and 6.71 is not, C must be our answer.

4 0

4 years ago

Read 2 more answers