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Ymorist [56]
3 years ago
15

The pitch of a roof is its slope. The roof of a home rises vertically a distance of 8 ft through a horizontal distance of 15 ft.

Find the pitch of the roof.
Mathematics
1 answer:
PIT_PIT [208]3 years ago
4 0
If we discuss this as if it is a triangle then the "rise" is the vertical side and the "run" is the adjacent side.
So the ratio of the rise to the run is 8 / 15 which equals <span> <span> <span> 0.5333333333 </span> </span> </span>
To find the angle of this roof pitch we look up the arc tangent of <span> <span> <span> 0.5333333333  </span> </span> </span> and we find that is 28.072 Degrees

Trigonometry Calculator:
http://www.1728.org/trigcalc.htm




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8 0
4 years ago
According to a survey, 62% of murders committed last year were cleared by arrest or exceptional means. Fifty murde committed las
alexira [117]

Answer:

a) The probability that exactly 41 of the murders were cleared is 0.0013

b) The probability that between 36 and 38 of the murders, inclusive, were cleared is 0.0809.

c) Yes, it would be unusual

Step-by-step explanation:

Let p=62% considered as the probability of having a commited that is cleared by arres or exceptional means. We assume that choosing each of the 50 commited is independent of each choose. Then, let X be the number of cleared. In this case, X is distributed as a binomial random variable. Recall that, in this case,

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a) We have that

P(X=40) = \binom{50}{40} p^{40}(1-p)^{50-40} =0.001273487

b) We are asked for the following

P(36\leq X \leq 38) = P(X=36)+P(X=37)+P(X=38) = 0.080888936&#10; (The specific calculation is omitted.

c) We will check for the following probability P(X\leq 19)

P(X\leq 19 ) = \sum_{k=0}^{19} P(X=k) = 0.000499222&#10;

Given that the probability of this event is really close to 0, it would be unusual if less than 19 murders are cleared.

4 0
3 years ago
Last month, Luiza's bank statement said that she had money in her account. Her bank balance was 109.32 rubles. This month, Luiza
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Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Please anything helps
lisov135 [29]

Answer:

D- Neither graph is a funvtion.

Step-by-step explanation:

A function can only have one input to one output.  These have more than one output for each input.  You can also do the vertical line test, if it touches more than two points at the same time while going horizontally across, it is not a function.

3 0
3 years ago
Please answer 100 points
Verizon [17]

Answer:

d

Step-by-step explanation:

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shaded area = square - circle

= 49 - 38.46

= 10.54

ans is d


4 0
3 years ago
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