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alexandr402 [8]
3 years ago
12

Find the exact value of tan 67.5° trig

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer: 1 + \sqrt{x} 2

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Give each a sum or difference: <br> a. -12+4= <br> b. -4+1= <br> c. 4 - 12= <br> d. 4+12=
wlad13 [49]
A. -8
B. -3
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Which whole number is closest to 577.41 closest to?
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The points (x, 3) and (-2, 2) have a slope of 1. What is the x-coordinate of the point<br> (x, 3)?
Naya [18.7K]

Answer:

(-1,3)

Step-by-step explanation:

The slope is given by

m = (y2-y1)/(x2-x1)

1 = (2-3)/(-2-x)

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(-2-x) = -1

Multiply by -1

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3 years ago
Suppose the true proportion of high school juniors who skateboard is 0.18. If many random samples of 250 high school juniors are
madreJ [45]

Answer:

0.024

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Suppose the true proportion of high school juniors who skateboard is 0.18.

This means that p = 0.18

Samples of 250 high school juniors are taken

This means that n = 250

By how much would their sample proportions typically vary from the true proportion?

This is the standard error, so:

s = \sqrt{\frac{p(1-p)}{n}}

s = \sqrt{\frac{0.18*0.82}{250}}

s = 0.024

So 0.024 is the answer.

6 0
3 years ago
8 to the power of 15 over 8 to the power 13 simplified
Aleksandr-060686 [28]

\dfrac{8^{15}}{8^{13}}=8^{15-13}=8^2=64\\\\Used:\\\\a^n:a^m=\dfrac{a^n}{a^m}=a^{n-m}

4 0
3 years ago
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