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ryzh [129]
3 years ago
6

Solve -2(4y + 6) = 52. 5 -5 8 -8 please help and hurry!!!!!!!!!!!

Mathematics
1 answer:
scoray [572]3 years ago
3 0
-2(4y+6) = 52
-8y -12 = 52
Add 12 on both sides

-8y= 64
Y= -8

Hope this helps!
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if the scale on a map is inches/miles = 1/50, find the following actual distances: 2.5 inches, 4.75 inches, and 7.6 inches.
Ber [7]
2-5 inches =125miles
4-75inches=237.50 miles.
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3 years ago
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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

3 0
3 years ago
Which side lengths form a right triangle?
soldier1979 [14.2K]

Answer:

B

Step-by-step explanation:

1^2+8^2=\sqrt 65\\

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3 years ago
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Answer:

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Step-by-step explanation:

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The m represents the slope of the line. Since we know the slope is -2, substitute -2 for m. The x_1 and y_1 represent the x and y values of the point the line passes through. Since the line passes through (4, -6), substitute 4 for x_1 and -6 for y_1. This gives the following answer and equation:

y-(-6) = -2 (x - (4))\\y + 6 = -2 (x-4)

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