Let julia's age be x
Let Kara's age be 4x
x+4x=13
5x=13
x=13/5
2.6 years
since the diameter of the base of the cylinder is 6 feet, then its radius is half that, or 3 feet.
![\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=3\\ h=9 \end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bvolume%20of%20a%20cylinder%7D%5C%5C%5C%5C%0AV%3D%5Cpi%20r%5E2%20h~~%0A%5Cbegin%7Bcases%7D%0Ar%3Dradius%5C%5C%0Ah%3Dheight%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Ar%3D3%5C%5C%0Ah%3D9%0A%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Cpi%20%283%29%5E2%289%29%5Cimplies%20V%3D81%5Cpi)
Answer:
Step-by-step explanation:
Increasing the sample size in a particular study will bring about a decrease in the standard deviations of the means.
A decrease in the sample size for a particular study will bring about an increase in the standard deviations of the means.
Whereas the population mean of the distribution of sample means is the same as the population mean of the distribution being sampled from meaning that the population of the distribution of sample means never changes.
Answer:166
Step-by-step explanation:438x.38=166
438 being the total amount of students
.38 being the 38% involved (moved percentage two to the left to make it a decimal)