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3 years ago

A line passes through the point (2, -9) and has a slope of -9. Write an equation in point-slope form for this line.

Mathematics

1 answer:

Natali [406]3 years ago

4 0

Answer:

$y+9 = - 9x +18$

Step-by-step explanation:

Line is passing through the point $(2,\: - 9) =(x_1,\:y_1)$ and has slope (m) = - 9

General equation of line in point slope form is given as:

$y-y_1 = m(x-x_1)$

Therefore

$y-(-9) = - 9(x-2)$

$y+9 = - 9x +18$

This is the required equation of line in point slope form.

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Please find the indicated power. (-3)2 = (-6)4 = (-1)8 =

VMariaS [17]

1: (-3)2= -6
2: (-6)4= -24
3: (-1)8= -8

3 0

3 years ago

Suppose that scores on a knowledge test are normally distributed with a mean of 60 and a standard deviation of 4.3. Scores on an

Sphinxa [80]

Question:

(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.

Answer:

The answers to the questions are;

(a) Based on the z score, Boris perform better on his aptitude test.

(b) Based on the z score, Callie perform better on his knowledge test .

Yes as Boris now performed best on the logic test.

Step-by-step explanation:

The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.

To solve the question, we note that we are required to find the z score as follows.

z score is given by $z = \frac{x -\mu}{\sigma}$

Where:

z = Standard score

x = Score

σ = Standard deviation

μ = Mean

(a) To find out which test did Boris performed better usin z score, we have

Boris scored a

57 on the knowledge test and

106 on the aptitude test

Therefore the z sore for the knowledge test is

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

Here

x = 57

μ = 60

σ = 4.3

Therefore

$z_{knowledge} = \frac{57 -60}{4.3}$ = -3/4.3 = -30/43 = -0.6977

The z sore for Boris on the aptitude test is

Here

x = 106

μ = 110

σ = 7.1

$z_{aptitude} = \frac{106 -110}{7.1}$ = -40/17 = -0.5634

Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977

(b) For Callie we have

Callie scored a

63 on the knowledge test and

114 on the aptitude test

Therefore the z sore for the knowledge test is

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

Here

x = 63

μ = 60

σ = 4.3

Therefore

$z_{knowledge} = \frac{63 -60}{4.3}$ = 3/4.3 = 30/43 = 0.6977

The z sore for Callie on the aptitude test is

Here

x = 114

μ = 110

σ = 7.1

$z_{aptitude} = \frac{114 -110}{7.1}$ = 40/17 = 0.5634

Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.

$z_{aptitude}$ = - 0.5634 then

$z_{logic}$ > $z_{knowledge}$ > $z_{aptitude}$

Therefore Boris now performed best on the logic test.

6 0

3 years ago

Name BOTH pairs of alternate interior angles. HELPPPPP PLEASE!!!!!!

shtirl [24]

Answer:

Angles 6 and 2

Step-by-step explanation:

They are in the "interior" of the figure, plus, ik how to do this

Hope this helped! Have a nice day! Plz mark as brainliest!!!