Answer: -x + y = 8
Step-by-step explanation:
So first you are going to want to find the slope of the equation. The equation for that it (y2 - y1)/(x2 - x1) = (10 - 7)/(2 - -1) and that equals 1. So your slope will be 1.
Now you have half of your equation complete, currently it looks like, y = x + b. So we have to find the y intercept. You can do that by plugging in a pair of coordinates into the current equation and solve for b.
Lets plug in (2,10)
10 = 2 + b
10 - 2 = b
b = 8
So now you have your equation in slope intercept form, y = x + 8. Just move the x over to the left side and there is your answer.
-x + y = 8
Answer:
d.
Step-by-step explanation:
if x varies directly as y,
x = ky
8 = 12k
12k = 8
k = 8/ 12
k = 2/3,
x = 2/3 y
now substitute the value of any of the numbers of each pair, and check if it works:
for e.g, find x when y = 15
x = 2/3y
x = 2/3 × 15
x = 10
since you obtain x = 10 when y = 15, the pair is a possible corresponding value of x and y. now do the same for the rest .
ii) x = 2/3y
x = 2/3 × 3, when y = 3
x = 2
hence, this is also a possible pair of x and y values.
iii) x = 2/3y
x = 2/3 × 9 when y = 9
x = 6
again, a possible pair of x and y values.
iv) x = 2/3y
x = 2/3 × 20 when y = 20
x = 40/3
here, when y = 20, x is not 15. it is 40/3.
thus, it can be determined that this is not a possible pair of x and y values.
please try to understand and have a great day!
The hypothesis test shows that we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
<h3>What is the claim that the return rate is less than 20% by using a statistical hypothesis method?</h3>
The claim that the return rate is less than 20% is p < 0.2. From the given information, we can compute our null hypothesis and alternative hypothesis as:
![\mathbf{H_o :p =0.2}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_o%20%3Ap%20%3D0.2%7D)
![\mathbf{H_i:p < 0.2}](https://tex.z-dn.net/?f=%5Cmathbf%7BH_i%3Ap%20%3C%200.2%7D)
Given that:
Sample size (n) = 6965
Sample proportion ![\mathbf{\hat p = \dfrac{x}{n} = \dfrac{1302}{6965} \sim0.1869}](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Chat%20p%20%3D%20%5Cdfrac%7Bx%7D%7Bn%7D%20%3D%20%5Cdfrac%7B1302%7D%7B6965%7D%20%5Csim0.1869%7D)
The test statistics for this data can be computed as:
![\mathbf{z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bz%20%3D%20%5Cdfrac%7B%5Chat%20p%20-%20p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%7D)
![\mathbf{z = \dfrac{0.1869 -0.2}{\sqrt{\dfrac{0.2(1-0.2)}{6965}}}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bz%20%3D%20%5Cdfrac%7B0.1869%20-0.2%7D%7B%5Csqrt%7B%5Cdfrac%7B0.2%281-0.2%29%7D%7B6965%7D%7D%7D%7D)
![\mathbf{z = \dfrac{-0.0131}{0.0047929}}](https://tex.z-dn.net/?f=%5Cmathbf%7Bz%20%3D%20%5Cdfrac%7B-0.0131%7D%7B0.0047929%7D%7D)
z = -2.73
From the hypothesis testing, since the p < alternative hypothesis, then our test is a left-tailed test(one-tailed.
Hence, the p-value for the test statistics can be computed as:
P-value = P(Z ≤ z)
P-value = P(Z ≤ - 2.73)
By using the Excel function =NORMDIST (-2.73)
P-value = 0.00317
P-value ≅ 0.003
Therefore, we can conclude that since P-value is less than the significance level at ∝ = 0.01, we reject the null hypothesis and there is sufficient evidence to support the claim that the return rate is less than 20%
Learn more about hypothesis testing here:
brainly.com/question/15980493
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I believe the answer is 2.02
There’s no photo so we can’t help you sorry :(