Mathematics: (c) the teacher wants to transform the test scores so that they have an approximately normal distribution with a mean of 80 points and a standard deviation of 10 points. to do this, she will use a formula in the form: new score = a + b (old score) find the values of a and b that the teacher should use to transform the distribution of test scores.

(c) the teacher wants to transform the test scores

jiboyajordan2069

05.01.2022

$a=-8\\ \\b=0.1$

Step-by-step explanation:

Use formula

$Z=\dfrac{X-\mu}{\sigma},$

where

= new score

= old score

$\mu$ = the mean

$\sigma$ = standard deviation

In your case,

$\mu=80\\ \\\sigma=10$

Hence,

$Z=\dfrac{X-80}{10}\\ \\Z=\dfrac{X}{10}-\dfrac{80}{10}\\ \\Z=0.1X-8\\ \\Z=-8+0.1X$

So,

$a=-8\\ \\b=0.1$

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saadizak7098

28.10.2020

31 days

Step-by-step explanation:

C = 35 + 10d

345 = 35 + 10d

310 = 10d

d = 31 days

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