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patriot [66]
3 years ago
11

Use the distributive property to express the sum of 48+84 as a multiple of 2 numbers with no common factor.

Mathematics
1 answer:
sesenic [268]3 years ago
6 0
48 + 84
12 (4+ 7)
12 times (11)
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Answer:

This means that on the coordinate plane, the coordinates for the vertices of the figure will change. To graph a translation, perform the same change for each point. ... In a reflection, the figure flips across a line to make a mirror image of itself.

Step-by-step explanation:

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Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and $0.08 per ball. The field has a pr
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Step-by-step explanation:

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What is the value of h?????
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5 0
3 years ago
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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
If a right triangle has a hypotenuse of length 20 units and one leg of length 16 units, find the length of the other leg. A. 12
xxTIMURxx [149]

Answer:

12

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

c is hypotenuse and a and b are the legs

we need to find a^2 so

a^2 + 16^2 = 20^2

a^22 + 256 = 400

then subtract 256 from 400

a^2 = 144

square root 144

= 12

5 0
2 years ago
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