f(3) is where the line is on the Y axis when X is 3:
Looking at the red line when it passes over X3, the line is on Y8.
The answer is B.8
Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Step-by-step explanation:
Answer:
80.0456<
<81.1210
Step-by-step explanation:
-Given the mean, 
and 
, the confidence interval can be calculated using the formula:
#We substitute our values in the formula to solve for CI:
![=\bar x\pm z\times \frac{\sigma}{\sqrt{n}}\\\\=\bar y\pm z_{0.05}\times \frac{s}{\sqrt{72}}\\\\=80.5833\pm 1.645\times \frac{2.77369}{\sqrt{72}}\\\\=80.5833\pm0.5377\\\\=[80.0456,81.1210]](https://tex.z-dn.net/?f=%3D%5Cbar%20x%5Cpm%20z%5Ctimes%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%5C%5C%5C%5C%3D%5Cbar%20y%5Cpm%20z_%7B0.05%7D%5Ctimes%20%5Cfrac%7Bs%7D%7B%5Csqrt%7B72%7D%7D%5C%5C%5C%5C%3D80.5833%5Cpm%201.645%5Ctimes%20%5Cfrac%7B2.77369%7D%7B%5Csqrt%7B72%7D%7D%5C%5C%5C%5C%3D80.5833%5Cpm0.5377%5C%5C%5C%5C%3D%5B80.0456%2C81.1210%5D)
Hence, the confidence interval lies between 80.0456 and 81.1210
Answer:
x = -6
Step-by-step explanation:
Simplifying
3(1.5x + 9) = 0
Reorder the terms:
3(9 + 1.5x) = 0
(9 * 3 + 1.5x * 3) = 0
(27 + 4.5x) = 0
Solving
27 + 4.5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + 4.5x = 0 + -27
Combine like terms: 27 + -27 = 0
0 + 4.5x = 0 + -27
4.5x = 0 + -27
Combine like terms: 0 + -27 = -27
4.5x = -27
Divide each side by '4.5'.
x = -6
Simplifying
x = -6
