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ivann1987 [24]
3 years ago
5

-8z+12=-12 plz help asap what is the answer and what does z stand for??!??

Mathematics
2 answers:
Sveta_85 [38]3 years ago
6 0

Answer:

z is a variable so it can be any number.

z=-3

if you do -8 times -3 that equals 24.

the answer is -3

Step-by-step explanation:

vichka [17]3 years ago
4 0

Answer:

<em>z </em>stands for 3.

Step-by-step explanation:

First, subtract 12 from both sides.

-8z + 12 - 12 = -12 - 12

-8z = -24

Next, let's put brackets [] between both numbers. Any number inside of these becomes positive.

[-8z] = [-24]

8z = 24

Finally, let's divide doth sides by 8!

8z/8 = 24/8

z = 3

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A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exa
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Answer:

z= \frac{85-70}{10}=1.5

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

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Step-by-step explanation:

Assuming this complete question:

A statistics student wants to compare his final exam score to his friend's final exam score from last year; however, the two exams were scored on different scales. Remembering what he learned about the advantages of Z scores, he asks his friend for the mean and standard deviation of her class on the exam, as well as her final exam score. Here is the information:

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His friend: Final exam score = 45; Class: M = 35; SD = 5.

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A) Our student, Z= -1.07; his friend, Z= -1.14.

B) Our student, Z= 1.50; his friend, Z=2.00.

C) Our student, Z= 1.07; his friend, Z= -1.14.

D) Our student, Z= 1.07; his friend, Z= 1.50

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution

Let X the random variable that represent the scores for our student, and for this case we know that:

E(X)= \mu =70, SD_X=\sigma=10  

The z score is given by:

z=\frac{x-\mu}{\sigma}

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z= \frac{85-70}{10}=1.5

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The z score is given by:

z=\frac{y-\mu}{\sigma}

If we use this we got:

z= \frac{45-35}{5}=2

So then the correct answer for this case is:

B) Our student, Z= 1.50; his friend, Z=2.00.

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