What is the slope of the line that passes through the points (5,-25) and (10, -15)

two high school students took equivalent language tests, one in German and one in French. The student taking the German test, fo

dedylja [7]

Answer:

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

Step-by-step explanation:

Z-score

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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. 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 pvalue, we get the probability that the value of the measure is greater than X.

German test

Mean was 66 and the standard deviation was 8, scored an 82.

So

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

$Z = \frac{82 - 66}{8}$

$Z = 2$

French test:

Mean was 27 and the standard deviation was 5, scored a 35.

So

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

$Z = \frac{35 - 27}{5}$

$Z = 1.6$

The student who did the German test scored 2 standard deviations above the mean and the student who did the French test scored 1.6 standard deviations above the mean. Relative to their classmates, the student who did the German test scored better due to the higher z-score.

5 0

3 years ago

Jo's collection contains US, Indian and British stamps. If the ratio of US to Indian stamps is 5 to 2 and the ratio of Indian to

Arisa [49]

Ratio of US to Indian stamps is 5:2
U/I = 5:2
= 25:10

Ratio of Indian to British stamps is 5:1
I/B = 5:1
= 10:2

Now , Ratio of US to British stamps
U/B = 25:2

The answer is E.

4 0

3 years ago

Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour

MrRissso [65]

Answer:

He can work a maximum of 2 8-hour days for the remainder of the week

Step-by-step explanation:

Firstly, from the question, we are made to know that the maximum work hours is 40 hours.

Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours

Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week

Mathematically, that would be 16 hours divided by 8-hours days

That is 16/8 = 2

7 0

3 years ago

Read 2 more answers

PLEASE PLEASE PLEASE HELP I WILL GIVE BRAINLIEST

Hunter-Best [27]

It’s D, because when using the word “area” it means you have to multiply. The term “times” in this case ALSO means to multiply. The iPadPro is 1.5 TIMES the size of the iPad mini. Hopefully this is correct good luck

4 0

3 years ago

A baby giraffe measures 6 feet tall when it is

Anni [7]

Answer:

Giraffes are the tallest mammal on Earth.
They can run as fast as 35 miles an hour!
They spend most of their lives standing up, they even sleep standing up!

3 0

3 years ago