Answer:
A 2:3
Step-by-step explanation:
6y:9y
We can divide the ratio by 3y on both sides, since 3y goes into both numbers
6y/3y: 9y/3y
2: 3
Remember, the formula of a square is
. If I half x,
is the new formula. Because the exponent is around the varialbe(x/2), both are squares. Therefore, the formula is
.
Therefore, the new area is B: a quarter of the original.
Ben can type 510 words in ten minutes.
153 words/3 minutes = 153/3
= 153 words ÷ 3 / 3 min ÷ 3
= 51 words / 1 min
51 x 10 (minutes) = 510.
Answer:
![\mu_{x} = 64, \sigma_{x} = 12.83](https://tex.z-dn.net/?f=%5Cmu_%7Bx%7D%20%3D%2064%2C%20%5Csigma_%7Bx%7D%20%3D%2012.83)
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 ![\sigma_{x} = \frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In this problem, we have that:
![\mu = 64, \sigma = 77, n = 36](https://tex.z-dn.net/?f=%5Cmu%20%3D%2064%2C%20%5Csigma%20%3D%2077%2C%20n%20%3D%2036)
So
![\mu_{x} = 64, \sigma_{x} = \frac{77}{\sqrt{36}} = 12.83](https://tex.z-dn.net/?f=%5Cmu_%7Bx%7D%20%3D%2064%2C%20%5Csigma_%7Bx%7D%20%3D%20%5Cfrac%7B77%7D%7B%5Csqrt%7B36%7D%7D%20%3D%2012.83)