Solve for x 5(x+4)=2x+20+2x
2 answers:
We need to distribute and add like terms on both sides.
5x+20=20+4x
Now let's try to isolate x by first subtracting 4x from both sides.
x+20=20
Now, subtract 20 from both sides.
X=0
So, let's try to plug in 0 for x to check.
5(0+4)=2(0)+20+2(0)
5(4)=0+20+0
20=20
So, x=0.
Also, let's see where the lines intersect. The intersection will be the y intercept.
5x+20=20+4x
Now let's try to isolate x by first subtracting 4x from both sides.
x+20=20
Now, subtract 20 from both sides.
X=0
So, let's try to plug in 0 for x to check.
5(0+4)=2(0)+20+2(0)
5(4)=0+20+0
20=20
So, x=0.
Also, let's see where the lines intersect. The intersection will be the y intercept.
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Answer:
a. The 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
b. Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.
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 .
Sample of 1,664 adult Americans, 939 people in the sample would have given themselves a grade of A or B in personal finance.
This means that
95% 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 95% confidence interval for the proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is (0.54, 0.588). This means that we are 95% sure that the true proportion of all adult Americans who would give themselves a grade of A or B on their financial knowledge of personal finance is between these two bounds.
(b) Is the confidence interval from part (a) consistent with the statement that a majority of adult Americans would give themselves a grade of A or B?
Yes, because the confidence interval is entirely above 0.5.
Because this confidence interval is entirely above 0.5, the interval is consistent with the statement that a majority of adult Americans would give themselves a grade of A or B.