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3 years ago

-2/9 - (-1/3 divided 3/5) PLEASE HURRYY

Mathematics

2 answers:

charle [14.2K]3 years ago

6 0

Answer:

1/3

Step-by-step explanation:

-1/3 divided by 3/5 = -5/9

-2/9 - -5/9 = 1/3

Masja [62]3 years ago

6 0

Answer:

-1/45

Step-by-step explanation:

Rewrite this as:

-2/9 - (-1/5), or -2/9 + 1/5

Here the LCD is (9)(5) = 45. Rewriting the above expression, we get:

-10/45 + 9/45 = -1/45

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3 years ago

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3) The sum of three consecutive numbers is 72.<br> What are the smallest of these numbers?

Oksi-84 [34.3K]

Answer:

Step-by-step explanation:

x+x+1=x+2=72

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3 years ago

The number of failures of a testing instrument from contamination particles on the product is a Poisson random variable with a m

Mazyrski [523]

Answer:

The probability that the instrument does not fail in an 8-hour shift is $P(X=0) \approx 0.8659$

The probability of at least 1 failure in a 24-hour day is $P(X\geq 1 )\approx 0.3508$

Step-by-step explanation:

The probability distribution of a Poisson random variable X representing the number of successes occurring in a given time interval or a specified region of space is given by the formula:

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

Let X be the number of failures of a testing instrument.

We know that the mean $\mu = 0.018$ failures per hour.

(a) To find the probability that the instrument does not fail in an 8-hour shift, you need to:

For an 8-hour shift, the mean is $\mu=8\cdot 0.018=0.144$

$P(X=0)=\frac{e^{-0.144}0.144^0}{0!}\\\\P(X=0) \approx 0.8659$

(b) To find the probability of at least 1 failure in a 24-hour day, you need to:

For a 24-hour day, the mean is $\mu=24\cdot 0.018=0.432$

$P(X\geq 1 )=1-P(X=0)\\\\P(X\geq 1 )=1-\frac{e^{-0.432}0.432^0}{0!}\\\\P(X\geq 1 )\approx 0.3508$

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3 years ago