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erastovalidia [21]
3 years ago
11

Natalie is standing 10 feet from the base of a flagpole. Her angle of elevation to the top of the pole is 61o; how tall is the f

lagpole if Natalie’s eyes are 5 feet from the ground? Round to the nearest tenth of a foot.
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

560

Step-by-step explanation:

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2y-3[3-4(y-5)+2(1-3y)]
soldi70 [24.7K]

Answer:

- 75 - 32y

Step-by-step explanation:

2y-3[3-4(y-5)+2(1-3y)]

= 2y - 3(3 - 4y + 20 + 2 - 6y)

= 2y - 3(25 - 10y)

= 2y - 75 - 30y

= - 75 - 32y

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x=3.45/60

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Colt1911 [192]

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6.4

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3 years ago
You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you beli
zhuklara [117]

Answer:

We need to sample at least 1069 parents.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

How many parents do you have to sample?

We need to sample at least n parents.

n is found when M = 4, \sigma = 79.5. So

M = z*\frac{\sigma}{\sqrt{n}}

4 = 1.645*\frac{79.5}{\sqrt{n}}

4\sqrt{n} = 1.645*79.5

\sqrt{n} = \frac{1.645*79.5}{4}

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