9514 1404 393
Answer:
C ∛((x+2)/5) -3
Step-by-step explanation:
To find the inverse function, solve for y:
x = f(y)
x = 5(y +3)³ -2 . . . . . . substitute f(y)
x +2 = 5(y +3)³ . . . . . add 2 -- already you know C is the answer
(x +2)/5 = (y +3)³ . . . . divide by 5
∛((x +2)/5) = y +3 . . . . take the cube root
∛((x +2)/5) -3 = y . . . . subtract 3
f^-1(x) = ∛((x +2)/5) -3 . . . . matches expression C
Answer:
$6
Step-by-step explanation:
Divide 1.80 by 3, then multiply that answer by 10.
Answer:
![A=11.7\ m^2](https://tex.z-dn.net/?f=A%3D11.7%5C%20m%5E2)
Step-by-step explanation:
Given that,
Central angle, ![\theta=160^{\circ}](https://tex.z-dn.net/?f=%5Ctheta%3D160%5E%7B%5Ccirc%7D)
Diameter,d = 5.8 m
Radius, r = 2.9 m
We need to find the area of sector. The formula for the area of sector is given by :
![A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2](https://tex.z-dn.net/?f=A%3D%5Cdfrac%7B%5Ctheta%7D%7B360%7D%5Ctimes%20%5Cpi%20r%5E2%5C%5C%5C%5C%3D%5Cdfrac%7B160%7D%7B360%7D%5Ctimes%203.14%5Ctimes%202.9%5E2%5C%5C%5C%5C%3D11.7%5C%20m%5E2)
So, the area of a sector is equal to
.
Im not sure but I think it is like 65
Answer:
5
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean
and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
![\mu = 80, \sigma = 20](https://tex.z-dn.net/?f=%5Cmu%20%3D%2080%2C%20%5Csigma%20%3D%2020)
On average, how much error would be expected between the sample mean and the population mean?
This is the standard deviation of the sample. We have that
. So
![s = \frac{\sigma}{\sqrt{n}} = \frac{20}{\sqrt{16}} = 5](https://tex.z-dn.net/?f=s%20%3D%20%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cfrac%7B20%7D%7B%5Csqrt%7B16%7D%7D%20%3D%205)
The answer is 5.