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BartSMP [9]
3 years ago
12

2x+ 8y = -3 3x+ 6y = -4 Choose all answers that apply

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

multiply the top equation by 3, multiply the bottom equation by 4, then subtract the bottom equation from the top equation

multiply the top equation by 3, multiply the bottom equation by -2, then add the equations

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A plane traveled 360 miles each way to Athens and back. The trip there was with the wind. It took 3 hours. The trip back was int
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S=32.5

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5 0
3 years ago
A random variable follows the continuous uniform distribution between 160 and 340. Calculate the following quantities for the di
Firlakuza [10]

Answer:

a) 0.3889

b) 0.5

c) 0.8333

d) The mean is 250 and the standard deviation is 51.96.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability of finding a value of X higher than x is:

P(X > x) = 1 - \frac{x - a}{b-a}

The probability of finding a value of X between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The mean and the standard deviation are, respectively:

M = \frac{a+b}{2}

S = \sqrt{\frac{b-a}^{2}{12}}

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This means that a = 160, b = 340

a)

P(220 \leq X \leq 290) = \frac{290 - 220}{340 - 160} = 0.3889

b)

P(160 \leq X \leq 250) = \frac{250 - 160}{340 - 160} = 0.5

c)

P(X > 190) = 1 - \frac{190 - 160}{340 - 160} = 0.8333

d)

M = \frac{160 + 340}{2} = 250

S = \sqrt{\frac{340 - 160}^{2}{12}} = 51.96

The mean is 250 and the standard deviation is 51.96.

8 0
3 years ago
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