If 1 cm = 3 ft, then 5 cm = 5*3 = 15 ft.<==
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:
-2 and 24
Step-by-step explanation:
the trend line is linear,
let the unknowns be A and B
hence the equation becomes
K = AJ + B
from the graph we can see the following:
when J = 0, K = 24 (substitute this into the equation)
K = AJ + B
24 = A(0) + B
24 = B (Answer)
Also notice that when K = 0, J = 12
together with our previous finding that B = 24, the equation becomes:
K = AJ + B
0 = A(12) + 24
12A = -24
A = -24 / 12
A = -2 (answer)
Answer:
x ≥ 4
Step-by-step explanation:
-4(8 - 3x) ≥ 6x - 8
-32 + 12x ≥ 6x - 8
-32 + 8 ≥ 6x - 12x
-24 ≥ -6x
x ≥ 24 / 6
x ≥ 4
