Answer:
Expanded Notation Form:
97,367 =
90,000
+ 7,000
+ 300
+ 60
+ 7
Expanded Factors Form:
97,367 =
9 × 10,000
+ 7 × 1,000
+ 3 × 100
+ 6 × 10
+ 7 × 1
Expanded Exponential Form:
97,367 =
9 × 104
+ 7 × 103
+ 3 × 102
+ 6 × 101
+ 7 × 100
To Find :-
- The algebraic equations to solve the above problem .
Solution :-
Let ,
- Large number = L
- Small number = S
— According to first statement ,
— According to second statement ,
- 3L + 4S = 54
- 3L + 4S - 54 = 0 .
These equations matches with the second option b .
Option b is the correct answer.
Answer:
The slope is negative. The relationship is proportional
Step-by-step explanation:
Answer:
a) A sample size of 5615 is needed.
b) 0.012
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:

99.5% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
(a) Past studies suggest that this proportion will be about 0.2. Find the sample size needed if the margin of the error of the confidence interval is to be about 0.015.
This is n for which M = 0.015.
We have that 






A sample size of 5615 is needed.
(b) Using the sample size above, when the sample is actually contacted, 12% of the sample say they are not satisfied. What is the margin of the error of the confidence interval?
Now
.
We have to find M.



X-intercept (0,4.5)
Y intercept(0,-1)