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sdas [7]
2 years ago
5

Find an equation of the line through the given pair of points. (-7,-5) and (-1,-9) The equation of the line is (Simplify your an

swer. Type an equation using x and y as the variables. Use integers or fractions for any numbers in the equation.) please help​
Mathematics
1 answer:
Phantasy [73]2 years ago
7 0

Answer:

The equation of the line is y = -2/3x - 29/3

Step-by-step explanation:

The slope of these points (-7,-5) and (-1,-9) is m = -2/3

Once you plug that into the y = mx + b equation, you can see that the y-intercept is -29/3.

Put all of that into the y = mx + b equation and you'll get -->  y = -2/3x - 29/3

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The CEO of a large electric utility claims that more than 75 percent of his customers are very satisfied with the service they r
vichka [17]

Answer:

z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462  

Now we can find the p value using the alternative hypothesis with this probability:

p_v =P(z>0.462)=0.322  

Since the p value is large enough, we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

Step-by-step explanation:

Information provided

n=100 represent the random sample selected

\hat p=0.77 estimated proportion of students that are satisfied

is the value that we want to test

z would represent the statistic

p_v represent the p value

System of hypothesis

We want to verify if more than 75 percent of his customers are very satisfied with the service they receive, then the system of hypothesis is.:  

Null hypothesis:p\leq 0.75  

Alternative hypothesis:p > 0.75  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing the info given we got:

z=\frac{0.77-0.75}{\sqrt{\frac{0.75(1-0.75)}{100}}}=0.462  

Now we can find the p value using the alternative hypothesis with this probability:

p_v =P(z>0.462)=0.322  

Since the p value is large enough we have evidence to conclude that the true proportion for this case is NOT significanctly higher than 0.75 since we FAIL to reject the null hypothesis at any significance level lower than 30%

4 0
3 years ago
Pls help due in 1 hr
ratelena [41]

Answer:

x = 10.6

Step-by-step explanation:

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(49) = 8/x

x = 8/sin(49)

x = 10.6

5 0
3 years ago
Ben goes to work by car or by train. Out of 200 days, he went by car on 150 days. Work out the relative frequency that Ben goes
ElenaW [278]

Answer:

3/4 = 0.75

Step-by-step explanation:

150/200 = 3/4

3 0
3 years ago
Read 2 more answers
A survey was done in Ms. G's class regarding students preferred type of pizza.
EastWind [94]
So there are a couple ways to do this. You should figure out what 3/4 of 80 is. This could also be written as 3:4 = x:80. 80/4= 20. x/3= 20 as 3*20= 60. X=60, therefor 60 students prefer cheese. To check, see if 60/80 : 3/4. 60/3= 20 and 80/4 = 20
8 0
3 years ago
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Blank ÷7 > 800 answer
ivann1987 [24]
Is this a multipul choice question? if not its 5,607 or over
5 0
3 years ago
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