Answer:
7 
Step-by-step explanation:
volume is length X width X height
since a cube has the same measurement for length, width, and height, the volume is found by multiplying ![\sqrt[3]{7}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B7%7D)
X X
the answer is 7
There are 14 chairs and 8 people to be seated. But among the 8. three will be seated together:
So 5 people and (3) could be considered as 6 entities:
Since the order matters, we have to use permutation:
¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆ x 3!
2,162,160 x 6 = 12,972,960 ways.
Another way to solve this problem is as follow:
5 + (3) people are considered (for the time being) as 6 entities:
The 1st has a choice among 14 ways
The 2nd has a choice among 13 ways
The 3rd has a choice among 12 ways
The 4th has a choice among 11 ways
The 5th has a choice among 10 ways
The 6th has a choice among 9ways
So far there are 14x13x12x11x10x9 = 2,162,160 ways
But the 3 (that formed one group) could seat among themselves in 3!
or 6 ways:
Total number of permutation = 2,162,160 x 6 = 12,972,960
The given equation is:
14.8 = n - 0.3
Adding 0.3 to both sides, we get:
14.8 + 0.3 = n - 0.3 + 0.3
15.1 = n - 0
15.1 = n
Thus, the value of n for which the given equation is true is 15.1
I was only able to come up with the answer of 1. Here is my work (don’t mind the messy handwriting I was writing with my finger on my phone)
Answer:
The value is 
Step-by-step explanation:
Generally the number of employee to survey(sample size) is mathematically represented as
![n = [ \frac{z * \sigma }{E} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7Bz%20%2A%20%20%5Csigma%20%7D%7BE%7D%20%5D%5E2)
Here E is the margin of error which is given as E = 47
So substituting 1.645 for z and 155 for 
![n = [ \frac{1.645 * 155 }{47} ]^2](https://tex.z-dn.net/?f=n%20%3D%20%5B%20%5Cfrac%7B1.645%20%2A%20%20155%20%7D%7B47%7D%20%5D%5E2)
=>
