Answer:
Step-by-step explanation:
1) To find the cube root of a number prime factorize
46656 = 2*2*2*2*2*2 * 3 * 3 * 3 * 3 * 3 * 3
![\sqrt[3]{46656}=\sqrt[3]{2*2*2*2*2*2*3*3*3*3*3*3} =2*2*3*3 = 36](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B46656%7D%3D%5Csqrt%5B3%5D%7B2%2A2%2A2%2A2%2A2%2A2%2A3%2A3%2A3%2A3%2A3%2A3%7D%20%20%3D2%2A2%2A3%2A3%20%3D%2036)
Length of each side = 36 m
Q) i) -512 = (-8) * (-8)*(-8)
-512 is a cube number
v) -17576 = (-26) * (-26)*(-26)
-17576 is cube number
Answer:
The latest 2.5% of bills will be received in 20 more days after mail-out.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 31 days
Standard Deviation, σ = 6 days
We are given that the distribution of The number of days (X) is a bell shaped distribution that is a normal distribution.
Formula:


We have to find the value of x such that the probability is 0.025

Calculation the value from standard normal z table, we have,

Hence, the latest 2.5% of bills will be received in 20 more days after mail-out.
Answer:
Option B.
Step-by-step explanation:
The given quadratic equation is

We need to find the solution of given quadratic equation.
Divide both sides by 9.


Taking square root on both sides.


The solution of given equation are
and
.
Therefore, the correct option is B.
Answer:
0. 4329
Step by step explanation
Since both groups will have the same number of men, we would guarantee each group consists of three women and three men.
So theprobability is (6, 3)·(6, 3)/(12, 6)=100/231.