Answer:

Step-by-step explanation:
Given

Required
Solve
In laws of indices, we have:

So, the expression becomes:



Divide 3 and 6 by 3


This can be rewritten as:

Hence:

Answer:
$461
Step-by-step explanation:
First, find the cost with the daily charge of $29.
Multiply 14 by 29, since the car was rented for 14 days:
14(29)
= 406
Find the cost with the distance traveled. Since there is only a charge after the first 100 km, subtract 100 from 320.
320 - 100
= 220
Find the charge by multiplying this by 0.25:
220(0.25)
= 55
Add this to the daily charge:
55 + 406
= 461
So, the cost will be $461
Answer:

Step-by-step explanation:

The radical symbol when used for a square root means the non-negative square root. You cannot state that sqrt(x^2) = x because x may be negative. That is why you need use the absolute value symbol.
Answer:
The probability that a container will be shipped even though it contains 2 defectives if the sample size is 88, will be 
Step-by-step explanation:
The first step is to count the number of total possible random sets of taking a sample size of 88 engines over 1212 engines of the population, so ![\left[\begin{array}{ccc}1212\\88\end{array}\right] =1212C88=4.7205x10^{135}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1212%5C%5C88%5Cend%7Barray%7D%5Cright%5D%20%3D1212C88%3D4.7205x10%5E%7B135%7D)
The second step is to count the number of total possible random sets of taking a sample size of 88 engines over 1210 engines (discounting the 2 defective engines) as the possible ways to succeed, so ![\left[\begin{array}{ccc}1210\\88\end{array}\right] =1212C88=4.0596x10^{135}](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1210%5C%5C88%5Cend%7Barray%7D%5Cright%5D%20%3D1212C88%3D4.0596x10%5E%7B135%7D)
Finally we need to compute
, therefore the probability that a container will be shipped is
<span>Sin (x) = Cos (90 - x)</span>
<span>sin(2A) = cos (90 - 2A)
=cos (3A)
90 - 2A = 3A
5A=90
A=18</span>