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1 year ago

What is the length of the hypotenuse in a right triangle?

Mathematics

1 answer:

Whitepunk [10]1 year ago

3 0

Answer:

the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.

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2 years ago

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2 years ago

The amount that households pay service providers for access to the Internet varies quite a bit, but the mean monthly fee is $50

Natali5045456 [20]

Answer:

(a) See Explanation

(b) $\bar x =50$ and $\sigma_x = 0.8944$

(d) $P(\bar x > 55) = 0$

Step-by-step explanation:

Given

$\mu = \$50$ -- mean

$\sigma = \$20$ --- standard deviation

$n=500$ --- sample size

Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.

The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.

Hence, the probability cannot be calculated.

Solving (b): Sample mean and Sample standard deviation

The sample mean estimates the population mean

So:

$\bar x =\mu$

$\bar x =50$

The sample standard deviation is calculated as thus:

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{20}{\sqrt{500}}$

$\sigma_x = \frac{20}{22.36}$

$\sigma_x = 0.8944$

Solving (c): The shape of the distribution.

We have:

$n = 500$ --- The sample size

According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.

<em>Hence, the shape is normal</em>

Solving (d): $P(\bar x \ge 55)$

Calculate the test statistic (t)

$t = \frac{\bar x - \mu}{\sigma}$

$t = \frac{55 - 50}{0.8945}$

$t = \frac{5}{0.8945}$

$t = 5.590$

So:

$P(\bar x > 55) = P(t > 5.590)$

Referencing the z table, we have:

$P(t > 5.590) = 0$

Hence:

$P(\bar x > 55) = 0$

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2 years ago

What is not a function?

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Answer:

a nonfiction is when you touch both sides of the line doing a line test with a pencil. of it touches the line twice it's not a function but if it touches once it is.

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2 years ago

Given the arithmetic sequence where a1 = -5 and d = 6, what is a5? Completing these tests is what determines whether or not i gr

Taya2010 [7]

Since the first term is -5 and the difference is 6 so a2=1,a3=7,a4=13,a5=19. Hope that helped. if you have any questions regarding how I got the values, feel free to ask. :')

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2 years ago

What is the length of the hypotenuse in a right triangle? ​

What is the length of the hypotenuse in a right triangle?