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2 years ago

5

In a Right Triangle, if the measurement for the base (B) equals a negative 6 and the hypotenuse equals (C) equals 12, then what

is the value of the side (A)?

1 answer:

katen-ka-za [31]2 years ago

8 0

Explanation:
Use pythagorean theorem: a^2+b^2=c^2
a^2+(-6)^2=(12)^2
a^2+36=144
a^2=108
a≈12.58

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3 years ago

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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,

$P(X=k) = \binom{50}{k} p^{k}(1-p)^{50-k}$ for $0\leq k \leq 50$ , with p=0.62

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

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3 years ago

50 POINTS!!!!! HELP Soybean meal is 16% protein; cornmeal is 8% protein.How many pounds of each should be mixed together in orde

tia_tia [17]

The first thing we are going to do for this case is define variables.
We have then:
x: Amount of soybean meal
320 - x: quantity of cornmeal
We now write the equation that models the problem:
$0.16x + 0.08 (320-x) = 0.09 (320)
$
Rewriting we have:
$0.16x + 25.6 - 0.08x = 28.8
$
From here, we clear x:
$0.16x - 0.08x = 28.8 - 25.6

0.08x = 3.2

x = 3.2 / 0.08

x = 40$
Then, the amount of Soybean meal is:
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Answer:
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3 years ago