Answer:
x = 3
Step-by-step explanation:
(4/5)^x = 64/125 means that 4^x / 5^x = 64/125
x can only be 3 because 4^3 = 64 and 5^3 = 125
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The formula to calculate the amount is 1200(1+0.03/4)^5
5,000 dollars is what would be demanded.
Answer:
0.0423 is the probability that the adult female has a height less than 61.3 inches.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 65.3 inches
Standard Deviation, σ = 2.32 inches
We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.
Formula:
P(adult female has a height less than 61.3 inches)
Calculation the value from standard normal z table, we have,
0.0423 is the probability that the adult female has a height less than 61.3 inches.
if its diameter is 14, then its radius is half that or 7.
![\textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=7 \end{cases}\implies \begin{array}{llll} V=\cfrac{4\pi (7)^3}{3}\implies V=\cfrac{1372\pi }{3} \\\\\\ \stackrel{using~\pi =3.14}{V\approx 1436.03} \end{array}](https://tex.z-dn.net/?f=%5Ctextit%7Bvolume%20of%20a%20sphere%7D%5C%5C%5C%5C%20V%3D%5Ccfrac%7B4%5Cpi%20r%5E3%7D%7B3%7D~~%20%5Cbegin%7Bcases%7D%20r%3Dradius%5C%5C%5B-0.5em%5D%20%5Chrulefill%5C%5C%20r%3D7%20%5Cend%7Bcases%7D%5Cimplies%20%5Cbegin%7Barray%7D%7Bllll%7D%20V%3D%5Ccfrac%7B4%5Cpi%20%287%29%5E3%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B1372%5Cpi%20%7D%7B3%7D%20%5C%5C%5C%5C%5C%5C%20%5Cstackrel%7Busing~%5Cpi%20%3D3.14%7D%7BV%5Capprox%201436.03%7D%20%5Cend%7Barray%7D)