Simplifying
3x + 4 = 7 + -2x
Reorder the terms:
4 + 3x = 7 + -2x
Solving
4 + 3x = 7 + -2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x
Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x
Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7
Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4
Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4
Combine like terms: 7 + -4 = 3
5x = 3
Divide each side by '5'.
x = 0.6
Answer: x = 0.6
Answer:
Question 1:
(b) 4,445
Question 2:
(c) 2.1%
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 of:

95% confidence level
So
, z is the value of Z that has a pvalue of
, so
.
Question 1:
We have no previous estimate for the population proportion, so we use
.
The sample size is n for which M = 0.015. So






Samples above this value should be used, and the smaller sample above this value is of 4445, so the answer is given by option b.
Question 2:
Now we find M for which
.



So 2.1%, and the correct answer is given by option c.
Answer:
14
Step-by-step explanation:
its going down by 11