Answer:
![m = \frac{4}{7}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%7D%7B7%7D%5C%5C)
Step-by-step explanation:
Given
The attached graph
Required
The constant rate of change (m)
This is calculated as:
![m = \frac{y_2 -y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-y_1%7D%7Bx_2%20-%20x_1%7D)
From the graph, we have:
![(x_1,y_1) = (3,4)](https://tex.z-dn.net/?f=%28x_1%2Cy_1%29%20%3D%20%283%2C4%29)
![(x_2,y_2) = (10,8)](https://tex.z-dn.net/?f=%28x_2%2Cy_2%29%20%3D%20%2810%2C8%29)
So, the formula becomes:
![m = \frac{8-4}{10 - 3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B8-4%7D%7B10%20-%203%7D)
![m = \frac{4}{7}\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B4%7D%7B7%7D%5C%5C)
Answer:
The answer is below
Step-by-step explanation:
Given that:
Confidence interval (C) = 99%, mean (μ) = 19.5, standard deviation (σ) = 5.2, sample size (n) = 35
α = 1 - C = 1 - 0.99 = 0.01
α/2 = 0.005
The z score of α/2 (0.005) is the same as the z score 0.495 (0.5 - 0.005) which is equal to 2.576.
The margin of error (E) is given as:
![E=Z_\frac{\alpha}{2}*\frac{\sigma}{\sqrt{n} } \\\\E=2.576*\frac{5.2}{\sqrt{35} } \\\\E=2.264](https://tex.z-dn.net/?f=E%3DZ_%5Cfrac%7B%5Calpha%7D%7B2%7D%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%20%5C%5C%5C%5CE%3D2.576%2A%5Cfrac%7B5.2%7D%7B%5Csqrt%7B35%7D%20%7D%20%5C%5C%5C%5CE%3D2.264)
The confidence interval = (μ ± E) = (19.5 ± 2.264) = (17.236, 21.764).
The confidence interval is between 17.236 and 21.764.
Answer:
(4, 3)
Step-by-step explanation:
If this point is reflected about the x-axis, the x-coordinate does not change. The original y-coordiate, -3, becomes +3.
A': (4, 3)
The answer to your question is C)26