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Finger [1]
3 years ago
10

Given: 3c + d = f + g, d = f, g = c + 8 Prove: c = 4

Mathematics
1 answer:
Viktor [21]3 years ago
8 0
3c+d= f+g (substitute using d=f and g=c+8)
3c+f= f+c+8
2c=8
C=4
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Rewrite the equation y−2=−3/2(x+6) in standard form.
navik [9.2K]

For this case we have that by definition, the standard form of the equation of the line is given by:

ax + by = c

We have the following equation:

y-2 = - \frac {3} {2} (x + 6)

We manipulate the equation algebraically:

y-2 = - \frac {3} {2} x- \frac {3 * 6} {2}\\y-2 = - \frac {3} {2} x \frac {18} {2}\\y-2 = - \frac {3} {2} x-9\\y-2 + 9 = - \frac {3} {2} x\\y-7 = - \frac {3} {2} x\\2 (y-7) = - 3x\\2y-14 = -3x\\3x + 2y = 14

Finally, the equation is:

3x + 2y = 14

Answer:

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3 0
3 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,

P(X=k) = \binom{50}{k} p^{k}(1-p)^{50-k} for0\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


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
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gulaghasi [49]
The formula for a volume of a cylinder is v=πr²h. So your radius is 6 and the height is 12. so v=pi x6²x12 which equals 1,356 cubic inches. So your answer is D) 1,356.

Hope this helps!!
4 0
3 years ago
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valentinak56 [21]

Answer:

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3 0
2 years ago
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