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vichka [17]
2 years ago
13

Use multiplcation to solve the proportion. a/40 = 3/10​

Mathematics
1 answer:
max2010maxim [7]2 years ago
8 0

Answer:

a=12

Step-by-step explanation:

a/40=3/10

10 x 4=40, so

3 x 4=12

a=12

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Answer:

Step-by-step explanation:

Break down the figure into two shapes.

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SHAPE B: The smaller one. We're going to use the same method as we did with the first one, and infer the lengths of the other sides using the existing ones.

To calculate area, it's length times width.

SHAPE A: Its two side measures are 6 and 7, which equates to 42 cm^2.

SHAPE B: Its two side measures are 2 and 3, which equates to 6 cm^2.

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

Answer:

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

In which

x is the number of sucesses

e = 2.71828 is the Euler number

\mu is the mean in the given interval.

Mean of 0.6 times a day

7 day week, so \mu = 7*0.6 = 4.2

What is the probability that, in any seven-day week, the computer will crash less than 3 times? Round your answer to four decimal places.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}

P(X = 0) = \frac{e^{-4.2}*(4.2)^{0}}{(0)!} = 0.0150

P(X = 1) = \frac{e^{-4.2}*(4.2)^{1}}{(1)!} = 0.0630

P(X = 2) = \frac{e^{-4.2}*(4.2)^{2}}{(2)!} = 0.1323

So

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0150 + 0.0630 + 0.1323 = 0.2103

0.2103 = 21.03% probability that, in any seven-day week, the computer will crash less than 3 times.

3 0
3 years ago
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