Answer: m = 7/4
Step-by-step explanation: Use the slope formula to find the slope m.
Hope this helps you out! ☺
Answer:
123.7 meters
Step-by-step explanation:
If you draw a diagram, this will be a rectangle and the line across cuts it into a right triangle, with a base of 120 and a height of 30. The need to know the length of the hypotenuse of the triangle, so we can use the pythagorean theorem.
30^2 + 120^2 = c^2
c=123.7
Answer:
D: 1/4
Step-by-step explanation:
2^-4 = 1/16
2^2 = 4
1 / 16 x 4 = 4 / 16 = 1 / 4
Answer:
101, 3, 0.025, 0.7416
Step-by-step explanation:
Given that a random sample of n = 16 observations is selected from a population that is normally distributed with mean equal to 101 and standard deviation equal to 12.
As per central limit theorem we have
a) Mean of sample mean = ![E(\bar x) =\\ \mu =101](https://tex.z-dn.net/?f=E%28%5Cbar%20x%29%20%3D%5C%5C%20%5Cmu%20%3D101)
Std deviation of sample mean = ![\frac{\sigma}{\sqrt{n} } =3](https://tex.z-dn.net/?f=%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%20%7D%20%3D3)
Mean = 101
Std dev =3.00
b) ![P(\bar x >107) = P(Z>\frac{107-101}{3} )\\= P(Z>2) = 0.025](https://tex.z-dn.net/?f=P%28%5Cbar%20x%20%3E107%29%20%3D%20P%28Z%3E%5Cfrac%7B107-101%7D%7B3%7D%20%29%5C%5C%3D%20P%28Z%3E2%29%20%3D%200.025)
c) the probability that the sample mean deviates from the population mean μ = 101 by no more than 4.
=![P(|\bar x-101|) \leq 4\\= P(|z|\leq 1.13)\\= 2(0.3708)\\=0.7416](https://tex.z-dn.net/?f=P%28%7C%5Cbar%20x-101%7C%29%20%5Cleq%204%5C%5C%3D%20P%28%7Cz%7C%5Cleq%201.13%29%5C%5C%3D%202%280.3708%29%5C%5C%3D0.7416)