Answer:

Step-by-step explanation:
Given the expression:

We are to simplify and obtain an equivalent expression.
Step 1: Change to Improper Fractions

Step 2: Take the Lowest Common multiple of the denominators
LCM of 8 and 4 is 8.
Therefore:

Therefore, an equivalent expression to
is
.
Answer:
A sample of 1032 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of
.
The margin of error is:

A sample of 300 components showed that 20 were defective.
This means that 
99% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
How large a sample is needed to estimate the true proportion of defective components to within 2.5 percentage points with 99% confidence?
A sample of n is needed.
n is found when M = 0.025. So






Rounding up
A sample of 1032 is needed.
Answer:
0 and -4
Step-by-step explanation:
We have been given the following functions;
f(x) = 1/x
g(x) = x^2 + 4x
The first step would be to evaluate the composite function fºg.
fºg = f[g(x)]. We substitute g(x) in place of x in f(x)
fºg = 
This is clearly a rational function which will be defined everywhere except where the expression in the denominator will be equal to 0.
We solve for x;

Therefore, the two numbers that are not in the domain of fºg are 0 and -4
The answer is h= 2.9
steps:
-1.8 = h-4.7
+4.7 +4.7
2.9 = h