Group the terms with variables on one side of the equal sign, and simplify. 8t −15 = 32t
2 answers:
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Answer:
The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).
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 .
For this problem, we have that:
90% confidence level
So , z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 90% confidence interval for the population proportion who knew about the incentives is (0.28, 0.44).
For #1. Step 1: Set the equations equal to one another: (3x + 20) = (2x + 40)
Step 2: Subtract 2x on both sides of the equal sign: (3x-2x + 20) = (2x-2x + 40)
x + 20=40
Step 3: Subtract 20 on both sides of the equal sign: x + 20-20= 40-20
x=20
Step 4: plug in 20 for x: 3(20) + 20= 80 & 2(20) + 40= 80
Step 2: Subtract 2x on both sides of the equal sign: (3x-2x + 20) = (2x-2x + 40)
x + 20=40
Step 3: Subtract 20 on both sides of the equal sign: x + 20-20= 40-20
x=20
Step 4: plug in 20 for x: 3(20) + 20= 80 & 2(20) + 40= 80