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3 years ago

Find the mean absolute deviation of the following numbers: 53, 39, 40, 42, 36, 58, 49, 55, 44, 51. i need help

Mathematics

2 answers:

Darya [45]3 years ago

8 0

add the numbers together 53, 39, 40, 42, 36, 58, 49, 55, 44, 51 = 467

then 467 divided 10 ( because there is 10 numbers together ) = 46.7

Neko [114]3 years ago

6 0

$\left|\dfrac{53+39+40+42+36+58+49+55+44+51}{10}\right|\\\\=\left|\dfrac{467}{10}\right|=|46.7|=46.7$

Answer: 46.7

MAD:

first you add up all the values, next you divide by the number of values.

If the number results as a negitave number, use the absolute value.

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kicyunya [14]

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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

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

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

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

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

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

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

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3 years ago

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amid [387]

Answer:

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Step-by-step explanation:

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What are these as equalivalent equations

tatiyna

Answer:

6x - 2(x - 3) and x + 3(x - 2) - 6

The two expresaions that are quivalent are <u>6x - 2(x - 3)</u> and <u>x + 3(x - 2) - 6</u>.

Step-by-step explanation:

First expression which is 4(x - 3) is an example of a binomial that when multiplied together, the product would be 4x - 12. Therefore, second and third expressions are the answer.

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3 years ago

A triangle has two sides of length 13 and 10. What is the largest possible whole-number length for the third side?

NeTakaya

In order for a triangle to exist, the two smaller sides must add to a number greater than the largest side.

So, 13+10 = 23

So, the number has to be smaller than 23, and the largest whole number less than 23 is 22.

22 Is the largest possible whole number.

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