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Mariulka [41]
3 years ago
10

Suppose y varies directly as x, and Y=80 when x=16 . Which of the following statements is true?

Mathematics
1 answer:
liubo4ka [24]3 years ago
5 0
The following answer is B because it shows that it has to multiply the x - axis by the slope (5) to make sure that it can be equat to the y - axis.

y = 5x
y =5(16)
y = 80

(x, y) = (16, 80)
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Suppose that the probabilities are 0.4, 0.3, 0.2, and 0.1, respectively, that 0, 1, 2, or 3 power failures will strike a certain
defon

Answer:

mean = 1 power failure

variance = 1 (power failure)²

Step-by-step explanation:

Since the mean is computed as

mean = E(x) = ∑ x * p(x) for all x

then for the random variable x=power failures , we have

mean = ∑ x * p(x) = 0 * 0.4 + 1* 0.3 + 2*0.2 + 3* 0.1 = 1 power failure

since the variance can be calculated through

variance =  ∑[x-E(x)]² * p(x) for all x

but easily in this way

variance = E(x²) -  [E(x)]² , then

E(x²) = ∑ x² * p(x) = 0² * 0.4 + 1²* 0.3 + 2²*0.2 + 3²* 0.1 = 2 power failure²

then

variance = 2 power failure² - (1 power failure)² = 1 power failure²

therefore

mean = 1 power failure

variance = 1 power failure²

7 0
3 years ago
A bag contains green marbles and red marbles, 36 in total. The number of green marbles is 1 more than 4 times the number of red
tatuchka [14]

Answer:

29

Step-by-step explanation:

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So, green marbles = 4X + 1

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Answer:

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Step-by-step explanation:


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Answer:

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Step-by-step explanation:

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