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lapo4ka [179]
3 years ago
10

When constructing a perpendicular line through a point on a line, how can you verify that the lines constructed are perpendicula

r?
Mathematics
1 answer:
nika2105 [10]3 years ago
7 0

Answer:

The answer in the procedure

Step-by-step explanation:

Let

m1 and m2 ----> the slopes of the lines constructed

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

therefore

To verify if the lines constructed are perpendicular

Multiply their slopes

if m1*m2=-1 ------> the lines are perpendicular

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nydimaria [60]

Answer:

We need a sample size of 564.

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}.

For this problem, we have that:

\pi = \frac{81}{130} = 0.6231

The margin of error is:

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

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.

Based upon a 95% confidence interval with a desired margin of error of .04, determine a sample size for restaurants that earn less than $50,000 last year.

We need a sample size of n

n is found when M = 0.04

So

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

0.04 = 1.96\sqrt{\frac{0.6231*0.3769}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.6231*0.3769}

\sqrt{n} = \frac{1.96\sqrt{0.6231*0.3769}}{0.04}

(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.6231*0.3769}}{0.04})^{2}

n = 563.8

Rounding up

We need a sample size of 564.

4 0
3 years ago
In Youngtown, the population reached 4420 people in 1993. In 1998, there were 5600 residents. What was the population in the yea
Ede4ka [16]
<span>Growth rate = (Present - Past)/Past Plugging in what we know Growth rate =(5600â’4420)/4420 Thus Growth rate=.26697 Now we can plug the growth rate into our first formula which gives us P=5600e^(.26697â‹…2) Solve for P and we get P = 9551.58 however since you can not have .58 of a person we round down to 9551. So Youngtown will have 9551 citizens in the year 2000</span>
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3 years ago
What is the answer to (7.26×10^6)−(1.3×10^4) in scientific notation
EleoNora [17]

Answer:

5.96 x 10 2

Step-by-step explanation:

3 0
2 years ago
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iren [92.7K]

Answer:

See below.

Step-by-step explanation:

1/2 = shrink by a factor of 1/2.

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HELP PLEASE! FAST! WILL GIVE 5 STARS AND THANKS!<br> 5/6 x 18
Yuri [45]

Answer:

15

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15

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3 years ago
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