Answer:
below
Step-by-step explanation:
I would guess that they added 42 and 45 and then added 1 for their mistake. That might be a bit of stretch, but that is what I think
The main rules that we use here are :
i)

for nonnegative values a and b.
ii)

.
Thus, first 'decompose' the numbers in the radicals into prime factors:

.
By rule (i) we write:

.
We can collect these terms as follows:

, and by rule (ii) we have:

Answer:

.
Answer:
The difference in the sample proportions is not statistically significant at 0.05 significance level.
Step-by-step explanation:
Significance level is missing, it is α=0.05
Let p(public) be the proportion of alumni of the public university who attended at least one class reunion
p(private) be the proportion of alumni of the private university who attended at least one class reunion
Hypotheses are:
: p(public) = p(private)
: p(public) ≠ p(private)
The formula for the test statistic is given as:
z=
where
- p1 is the sample proportion of public university students who attended at least one class reunion (
)
- p2 is the sample proportion of private university students who attended at least one class reunion (
)
- p is the pool proportion of p1 and p2 (
)
- n1 is the sample size of the alumni from public university (1311)
- n2 is the sample size of the students from private university (1038)
Then z=
=-0.207
Since p-value of the test statistic is 0.836>0.05 we fail to reject the null hypothesis.
Answer:
option (a) $250
Step-by-step explanation:
Data provided in the question:
Fixed cost = $500
For 100 units produced Total cost = $3,500
For 101 units produced, Total cost = $3,750
Now,
Marginal cost is calculated as:
Marginal cost =
thus,
Marginal cost =
or
Marginal cost =
or
Marginal cost = $250
Hence,
The correct answer is option (a) $250