Answer:
Option D is correct.
Step-by-step explanation
Principal = $9250
rate of interest = 7% or 0.07
time = 5 years or 260 weeks
[ Since there are 52 weeks in a year . for 5 years it will be 5x52=260 weeks]
Applying the formula
Amount after t years = 
where P = principal
r = rate % in decimals
n= number of times in a year
t = times ( in years)
plugging the values in the formula
Amount = 
= 
= 
= 9250(1.418733588)
=$13123.29
Answer:
Therefore the expression is option A)

Step-by-step explanation:
Given:
Statement as ' 8 less than two times X'
To Find :
Expression for the statement
'8 less than two times X'
Solution:

Now 8 less than two times X means Subtract 8 from '2x'

Therefore the expression is option A)

Answer:
0.048 is the probability that more than 950 message arrive in one minute.
Step-by-step explanation:
We are given the following information in the question:
The number of messages arriving at a multiplexer is a Poisson random variable with mean 15 messages/second.
Let X be the number of messages arriving at a multiplexer.
Mean = 15
For poison distribution,
Mean = Variance = 15

From central limit theorem, we have:
where n is the sample size.
Here, n = 1 minute = 60 seconds
P(x > 950)
Calculation the value from standard normal z table, we have,

0.048 is the probability that more than 950 message arrive in one minute.
Let a set of

elements.
We can find

(factorial) of the

element.
However, combination of the element lead to less than

possibilities.
(combining like adding or multiplying)
So the proposition is false.
Point estimate proportion is the average of lower and upper interval limit.
Point estimate proportion )p) = x/n
Where x = observations, n=sample size
Substituting;
p= 40/493 = 0.0811