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slega [8]
2 years ago
13

Bobby has a 17 foot ladder and is standing 9 feet from a wall. How far up the wall

Mathematics
1 answer:
barxatty [35]2 years ago
6 0

Answer:

8 feet because 17-9=8 .

Step-by-step explanation:

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The points (4,- 4) and (4,- 6) lie on a circle with a radius of 1. Find the center point of the circle.
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If we intersect the circle of radius 1 around (4,-4) and the circle of radius 1 around (4,-6) they'll intersect at the center of circle radius 1 that has both those points.  

Here we don't really have to do any math.  It's clear that the midpoint (4,-5) is 1 away from both (4,-4) and (4,-6) so that's our answer:

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Read 2 more answers
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co
lesantik [10]

Answer:

The test statistic for Business College is -0.9944

The test statistic for Liberal Arts College is 1.1483

The test statistic for Education College is 0

Step-by-step explanation:

The percentage of ABC University college students in

Business College = 35%

Liberal Arts College = 35%

Education College = 30%

The number of students in the sample = 300 students

In the sample, the number of students in;

Business College = 90

Liberal Arts College = 120

Education College = 90

Therefore;

The percentage of Business College students = 90/300 × 100 = 30%

The percentage of Liberal Arts College,  = 120/300 × 100 = 40%

The percentage of Education College, \hat p = 90/300 × 100 = 30%

The test statistic for the difference in two proportions is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}

Where;

\hat p = The sample proportion

p = The population proportion

q = 1 - p

n = The sample size

The test statistic for Business College is;

z=\dfrac{0.3-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{90}}} \approx -0.9944

The test statistic for Liberal Arts College is;

z=\dfrac{0.4-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{120}}} \approx 1.1483

The test statistic for Education College is;

z=\dfrac{0.3-0.3}{\sqrt{\dfrac{0.3 \times 0.70}{120}}} \approx 0

7 0
2 years ago
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