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umka21 [38]
4 years ago
12

Given the two points (-1,-4) and (2,5): a. Find the slope between these two points

Mathematics
1 answer:
Dvinal [7]4 years ago
4 0
Easy, using \frac{y1-y2}{x1-x2} to find the intercept:

\frac{-4-5}{-1-2}=

\frac{-9}{-3}=3

This is your slope. m=3

To find y=mx+b form

-4=3(-1)+b

-4=-3+b

-1=b

y=3x-1 in y=mx+b form
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The first eight quizzes in this class had average scores of 8,9,9,8,8,9,8,7. This gives a sample mean of 8.25 and a sample stand
alexira [117]

Answer:

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }  

            t = <em>1.076</em>

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given Mean of the Population (μ) = 8.0

<em>Mean of the sample (x⁻) = 8.25</em>

Given data

                  8,9,9,8,8,9,8,7

Given sample size  n= 8

Given sample standard deviation(S) = 0.661

<u><em>Step(ii):-</em></u>

<em>Null hypothesis : H:  (μ) = 8.0</em>

<em>Alternative Hypothesis :H:(μ) > 8.0</em>

<em>Degrees of freedom = n-1 = 8-1=7</em>

<em>Test statistic </em>

<em>               </em>t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }<em></em>

<em>              </em>t = \frac{8.25 -8.0}{\frac{0.661}{\sqrt{8} } }<em></em>

<em>            t =  1.076</em>

<em>Critical value </em>

<em>                    t₍₇,₀.₀₅₎   = 2.3646</em>

<em>The calculated value   t =  1.076 < 2.3646 at 0.05 level of significance</em>

<em>Null hypothesis is accepted</em>

<em>Test the hypothesis that the true mean quiz score is 8.0 against the alternative that it is not greater than 8.0</em>

<em></em>

3 0
3 years ago
In triangle ABC, mZA = (5x – 10), mZB = (12x)", and the exterior
Inessa [10]

Answer:

measure of exterior angle  at  C = 160°

Step-by-step explanation:

An exterior angle of a triangle equals the sum of the two remote interior angles

A and B are the remote interior angles.  So,

m∠A + m∠B = measure of exterior angle  at  C

5x - 10 + 12x = 16x

17x - 10 = 16x

x = 10

measure of exterior angle  at  C = 16x = 16(10) = 160°

7 0
3 years ago
Why do chairs have legs?
GalinKa [24]

Answer:

cuz they are chairs

Step-by-step explanation:

8 0
3 years ago
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If f(x) = x/2 -3 and g(x) = 3x² + x - 6, find (f + g)(x). O A. 3x O B. 3x² + 3x-9 3x O C. 3.x2 + x - 3 O D. 4x2-9​
Olenka [21]

Answer:

4x2-9

Step-by-step explanation:

it would be that because the number is in the c acis

8 0
3 years ago
PLEASE HELP!!!
Blababa [14]

Answer:

x = 12, y = 17

Step-by-step explanation:

x+5 = 2x-7

x = 12

y = x+5 = 17

6 0
3 years ago
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