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blsea [12.9K]
3 years ago
10

The slope of a line passing through (0,1) and (3,-4) ?

Mathematics
2 answers:
Westkost [7]3 years ago
5 0

Answer:

m= -5/3

Step-by-step explanation:

y-y/x-x give you your slope

-4-1 = -5

3-0 = 3

-5/3 is -5/3

iren [92.7K]3 years ago
5 0

Answer:

-8/3

Step-by-step explanation:

I did the slope formula y2-y1 divided by x2-x1

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Write the equation of the line that passes through (-1,8) and is parallel to the graph of y = 4x - 2
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Answer:

When a line is parallel to another line, they have the same slope. So far the equation would be, y=4x+b. To find the value of b, substitute the given point into the equation.

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2 years ago
Use the given information to find the p-value. also use a0.05 significance level and state the conclusion about the null hypothe
omeli [17]

Answer:

(a) C: 0.0465 ; reject the null hypothesis

(b) B: 0.3409 ; fail to reject the null hypothesis

Step-by-step explanation:

Firstly, the decision rule based on P-value to reject the null hypothesis or fail to reject the null hypothesis is given by;

  • If the P-value of test statistics is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.
  • If the P-value of test statistics is more than the level of significance, then we have insufficient evidence to reject our null hypothesis due to which we fail to reject our null hypothesis.

(a) Now, we are given alternate hypothesis, H_1 : p < 3/5

Also, z test statistics is -1.68. Since this is a left tailed test, so P-value is given by;

             P-value = P(Z < -1.68) = 1 - P(Z \leq 1.68)

                           = 1 - 0.95352 = <u>0.0465</u>

Since, the P-value of test statistics is less than the level of significance as 0.0465 < 0.05, so we have sufficient evidence to reject our null hypothesis due to which <u>we reject the null hypothesis.</u>

(b) Now, we are given alternate hypothesis, H_1 : p > 0.383

Also, z test statistics is 0.41. Since this is a right tailed test, so P-value is given by;

             P-value = P(Z > 0.41) = 1 - P(Z \leq 0.41)

                           = 1 - 0.6591 = <u>0.3409</u>

Since, the P-value of test statistics is more than the level of significance as 0.3409 > 0.05, so we have insufficient evidence to reject our null hypothesis due to which <u>we fail to reject the null hypothesis.</u>

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