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Scorpion4ik [409]
3 years ago
14

Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-9,7) and (4,-3) on the coo

rdinate plane. If each square on the graph represents one city block, what is the perimeter of Central park?
Mathematics
1 answer:
Softa [21]3 years ago
3 0
The distance between the abscissas (x-coordinates) of the points is equal to 13. That of the ordinates (y-coordinates) is equal to 10. Thus, the area is obtained by multiplying these values. The answer is equal to 130 units squared. 
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The answer is glide reflection
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3 years ago
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Evaluate 16^1/2 and show work​
LUCKY_DIMON [66]
Here is your answer

{16}^{1/2} = ({4}^{2})^{1/2}\\= {4}^ {2× 1/2}\\= 4

HOPE IT IS USEFUL
4 0
3 years ago
A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th
andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

H_0: p = 0.5

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

H_1: p > 0.5

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that \mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that n = 100, X = \frac{60}{100} = 0.6

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}

z = 2

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0
3 years ago
Please need HELP with A, B, and C!!
Simora [160]

Answer:

as in pic below

Step-by-step explanation:

7 0
2 years ago
A line passes through the points (-4,n) and (2,4n) and has the slope of 6. What’s the value of n?
Wittaler [7]

Not sure about this one sorry bud

4 0
3 years ago
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