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jonny [76]
3 years ago
5

On a map’s coordinate grid, Walt City is located at ()20, 23−−and Disneyvilleis located at ()54, 49 .What are the coordinates of

the midpoint of the two cities
Mathematics
1 answer:
victus00 [196]3 years ago
4 0
The coordinates of the midpoint is 32, 36
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A report on consumer financial literacy summarized data from a representative sample of 1,664 adult Americans. Based on data fro
daser333 [38]

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 \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

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 n = 1664, \pi = \frac{939}{1664} = 0.5643

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 - 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.54

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5643 + 1.96\sqrt{\frac{0.5643*0.4357}{1644}} = 0.588

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.

8 0
2 years ago
Can anyone rewrite the quadratic function in standard form?
yulyashka [42]

Answer:

Step-by-step explanation:

y=3(x-3)(x-4)

=3(x²-4x-3x+12)

or y=3(x²-7x+12)

or y=3x²-21x+36

5 0
3 years ago
Read 2 more answers
Todd has been helping his grandmother vanilla ice cream. Yesterday morning they made 4.5 quarts of ice cream. They are going to
netineya [11]

Answer:

Todd will need 9 pint-sized containers to store 4.5 quarts of ice cream.

8 0
2 years ago
jacob received $500 for christmas from his parents, he wants to put it into an account that will pay him 7.75% interest each yea
disa [49]

Answer:

He will have $538.75 after one year.

Step-by-step explanation:

First we need to find how much is 7.75% of 500. We can find it by multiplying 500 x .0775

This equals 38.75

That means after one year, he has $38.75 more.

500+38.75=538.75

He will have $538.75 after one year.

7 0
2 years ago
Solve for x in the diagram below. Will mark brainliest if your answer is correct!♡
katen-ka-za [31]
I think it should be x=12.
The equation should be 6x-2+20°=90°
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