Answer:

Step-by-step explanation:
We are given polynomial as

and it is divided by x=3 or x-3
we can use synthetic division
so, we got
Remainder =5
Quotient is


we can write as

Answer:
21
Step-by-step explanation:
Using<em> Simple Random Sampling</em>, we can estimate the sample size by the formula
where
n = sample size
Z = the z-score corresponding to the confidence level 99.5%
S = the assumed standard deviation = 3 seconds
e = margin of error = 2 seconds
<em>It is worth noticing that the higher the confidence level, the larger the sample should be.
</em>
The z-score corresponding to a confidence level of 99.5% can be obtained either with a table or the computer and equals
Z = 3.023
Replacing the values in our formula
So the size of the sample should be at least 21.
$3.75 would be rounded up and changed to $4
Answer:
x = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
= 
Note that ΔBCD is a 3- 4- 5 triangle ( Pythagorean triple), hence CD = 4
Substitute given values into the equation
=
( cross- multiply )
3x = 24 ( divide both sides by 3 )
x = 8