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n200080 [17]
4 years ago
7

Which ordered pair is a solution of the equation y=-9x+4

Mathematics
2 answers:
dmitriy555 [2]4 years ago
8 0
I'm gonna gonna go with C
fredd [130]4 years ago
6 0

Answer:

Option A. is the solution

Step-by-step explanation:

The equation of the line is y = - 9x + 4

We will plug in the values of each ordered pair given in the options. If they satisfy the equation, will be the solution of the eqaution.

Option A.

(10, -86)

-86 = - 9(10) + 4

-86 = -90 + 4

-86 = -86

Therefore, this ordered pair is the solution of the equation.

Option B.

(-4, -58)

-58 = -9(-4) + 4

-58 = 36 + 4

-58 = 40

Not the solution of the equation.

Option C.

(6, -41)

-41 = -9(6) + 4

-41 = -54 + 4

-41 = -50

Not the solution of the equation.

Option D.

(-6, 57)

57 = -9(-6) + 4

57 = 54 + 4

57 = 58

Not the solution of the equation.

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2 years ago
The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
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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

So

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.

3 0
3 years ago
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