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cricket20 [7]
3 years ago
10

Bro. sarah.sue.and Aron will share the cost of buying a flat screen tv

Mathematics
1 answer:
pishuonlain [190]3 years ago
5 0
What's the cost....?
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10. In a survey of 212 people at the local track and field championship, 72% favored the home team
igomit [66]

Answer:

a. The margin of error for the survey is of 0.0308 = 3.08%.

b. The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error of the survey is:

M = \sqrt{\frac{\pi(1-\pi)}{n}}

The confidence interval can be written as:

\pi \pm zM

In a survey of 212 people at the local track and field championship, 72% favored the home team winning.

This means that n = 212, \pi = 0.72

a. Find the margin of error for the survey.

M = \sqrt{\frac{0.72*0.28}{212}} = 0.0308

The margin of error for the survey is of 0.0308 = 3.08%.

b. Give the 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning.

95% confidence level

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

Lower bound:

\pi - zM = 0.72 - 1.96*0.0308 = 0.6596

Upper bound:

\pi + zM = 0.72 + 1.96*0.0308 = 0.7804

As percent:

0.6596*100% = 65.96%

0.7804*100% = 78.04%.

The 95% confidence interval that is likely to contain the exact percent of all people who favor the home team winning is (65.96%, 78.04%).

7 0
3 years ago
Enter the words as an expression.<br><br> Subtract 15 from 60, then divide by 9.
Andru [333]

Answer:

60-15/9

Step-by-step explanation:

Subtract (-) 15 from 60: 60-15

Divide (/) by 9: 60-15/9

7 0
3 years ago
Read 2 more answers
You need a 15% acid solution for a certain test, but your supplier only ships 5% solution and 17.5% solution. If you need 20 lit
Nimfa-mama [501]

Answer:

4 liters of 5% and 16 liters of 17.5%

Step-by-step explanation:

Let quantity of 5% be x liters and of 17.5% be y liters

x+y=20 hence y=20-x

Introducing percentages

0.05x+0.175(20-x)=0.15*20

0.05x+3.5-0.175x=3

-0.125x=-0.5

x=\frac {-0.5}{-0.125}=4

Therefore, y=20-x=20-4=16

You need 4 liters of 5% and 16 liters of 17.5% to achieve 20 liters of 15% acid solution

6 0
2 years ago
Read 2 more answers
The price have changed from $120 to $75. By how many
Kitty [74]

Answer:

35.7%

Step-by-step explanation:

The change is 45 dollars. (120-75)

The percent of change is the dollars divided by the original price.

45/120=0.357

Or 35.7%

3 0
3 years ago
Read 2 more answers
Samantha is making goodie bags for a birthday party. She puts 2 slices of pie in each goodie bag. Her sister then puts an equal
Diano4ka-milaya [45]
5 goodie bags
25 pies
25/2= 12.5
12.5=2.5
The answer varies if you choices are whole numbers or fraction, right now it would be 2 and a half pies but it could change if they are asking for a whole number
7 0
2 years ago
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