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Tom [10]
3 years ago
5

The slope of the line below is -3 use the coordinates of the labeled point to find a point slope equation

Mathematics
1 answer:
neonofarm [45]3 years ago
6 0

Answer:

y = -3x + 8

Step-by-step explanation:

(5,-7), slope is -3

y - y₁ = m(x - x₁)

y₁ = -7

x₁ = 5

m = -3

y + 7 = -3(x - 5)

y + 7 = -3x + 15

y = -3x + 8

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The computer that controls a bank's automatic teller machine crashes a mean of 0.5 times per day. What is the probability that,
dexar [7]

Answer:

0.3216 = 32.16% 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 time interval

Mean of 0.5

7-day week, so \mu = 7*0.5 = 3.5

What is the probability that, in any seven-day week, the computer will crash less than 3 times?

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^{-3.5}*(3.5)^{0}}{(0)!} = 0.0302

P(X = 1) = \frac{e^{-3.5}*(3.5)^{1}}{(1)!} = 0.1057

P(X = 2) = \frac{e^{-3.5}*(3.5)^{2}}{(2)!} = 0.1850

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0302 + 0.1057 + 0.1857 = 0.3216

0.3216 = 32.16% probability that, in any seven-day week, the computer will crash less than 3 times

3 0
3 years ago
Which points on this vertical number line best represent the locations of 2.5 and minus 3 over 2 ?
rodikova [14]

Answer:

ok listen when looking at the graph the answer is easy its b

Step-by-step explanation:

5 0
3 years ago
Artist heard that as a general rule
zhenek [66]
What does this mean idk but thanks for the free answer

6 0
3 years ago
Ho do I put this into a simpler expression
Mashutka [201]
The instruction is right there ! "COMBINE THE LIKE TERMS". That means ==> add up all the 'n' terms and make a single 'n' term, then ==> add up all the plain numbers to make a single plain number.
3 0
3 years ago
Read 2 more answers
Ab-0.5bab−0.5ba, b, minus, 0, point, 5, b when a=1a=1a, equals, 1 and b=5b=5
barxatty [35]

Answer:

  2.5

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic:

  ab - 0.5b = (1)(5) -0.5(5) = 5 - 2.5 = 2.5

4 0
3 years ago
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