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3 years ago

2. Determine which form of a line the given equation is in. Then, determine the slope and y-intercept.

Mathematics

1 answer:

xxMikexx [17]3 years ago

5 0

Answer:

67 the answer is 67 because u add it all up

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Please help need done today

joja [24]

Answer:

area of the BCD triangle=1/2×10×9

=45

area of the ABD triangle=1/2×10×3

=15

Total area=45+15

=60 square centimetres

7 0

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 $\mu=24\cdot 0.018=0.432$

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

3 0

3 years ago

Solve for X. <br><br> <img src="https://tex.z-dn.net/?f=log_%7B8%7D%20x-log_%7B8%7D%20%28-2x%2B4%29%20%3D%20log_%7B8%7D%203" id=

taurus [48]

Answer: $x=\frac{12}{7}$

Step-by-step explanation:

Remember the logarithms properties:

$log(m)-log(n)=log(\frac{m}{n})\\\\b^{log_b(a)}=a$

Then,simplifying:

$log_{8}(\frac{x}{-2x+4}) = log_{8}(3)$

Apply base 8 to boths sides and then solve for "x":

$8^{log_{8}(\frac{x}{-2x+4})}=8^{log_{8}(3)}\\\\\frac{x}{-2x+4}=3\\\\x=3(-2x+4)\\\\x=-6x+12\\x+6x=12\\7x=12\\\\x=\frac{12}{7}$

4 0

3 years ago

Read 2 more answers

Help me with another question please.

loris [4]

Answer:

Yes, because it is a ratio, it is a proportional relationship.

8 0

3 years ago

What is slope and how is it determined on a graph

BaLLatris [955]

A slope is the change in position with respect to x and y. Use y2-y1 over x2-x1. The 2s and 1s are supscripts in this equation.

3 0

3 years ago