Answer:
Step-by-step explanation:
the coordinate of D is (3,-3) because it is 3 units right from the x axis and -3 units down in y axis.
Answer:
Mean 105
Standard deviation 1.89
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a random variable X, with mean
and standard deviation
, the sample means with size n of at least 30 can be approximated to a normal distribution with mean
and standard deviation ![s = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\mu = 105, \sigma = 17](https://tex.z-dn.net/?f=%5Cmu%20%3D%20105%2C%20%5Csigma%20%3D%2017)
If the sample size is n 81, find the mean and standard deviation of the distribution of sample means.
By the Central limit theorem
mean 105
Standard deviation
![s = \frac{17}{\sqrt{81}} = 1.89](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B17%7D%7B%5Csqrt%7B81%7D%7D%20%3D%201.89)
Answer Step-by-step explanation:
![\huge\boxed{(3x-2)(x+4)}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%283x-2%29%28x%2B4%29%7D)
![yes~that's~the~answer~to~your~question.](https://tex.z-dn.net/?f=yes~that%27s~the~answer~to~your~question.)
Less than because you get 50% chance for getting head on a penny because they're only 2 sides and dice have 6 sides so yeah
V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r
V(new cylinder)= πR²h = π(3r)²h=9πr²h
V(new cylinder)/V(cylinder)=9πr²h/πr²h=9
Volume new cylinder 9 times more the volume of old cylinder.