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mrs_skeptik [129]
3 years ago
13

Patrick pays $10 per month for recycling. He expects the cost to increase 90¢ every 3 years. What is the slope that represents h

is cost change per year?
Mathematics
1 answer:
Leokris [45]3 years ago
3 0
If the cost increases $0.90 every three years , then the cost increases $0.30 per year. the slope will be 0.3/1 or just 0.3
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The computer that controls a bank's automatic teller machine crashes a mean of 0.6 times per day. What is the probability that,
professor190 [17]

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
2.74 as a mix number
Inga [223]

Answer:

2 74/100

Step-by-step explanation:

6 0
3 years ago
Can some one help me ‼ pleasee ‼
marshall27 [118]

Answer:

12

Step-by-step explanation:

The 2 lines are equal in length. Therefore:-

ST = 21 - 9 = 12

7 0
3 years ago
Math question. Genius, please answer correctly.
yarga [219]

Answer:

16-31     20, 18,25,28,31,23,19,27,22,25,20     11

32-47      33,42,36,41,47     5

48-65     65,52,61,50     4

Step-by-step explanation:

3 0
3 years ago
Find the surface area of the rectangular prism with l=15m, w=16m and h=4. im confused pls help me
ser-zykov [4K]

Answer:

surface area= 728

please give me brainliest!! :)

Step-by-step explanation:

A = 2 ( w*l + h*l + h*w )

2 · ( 16 · 15 + 4 · 15 + 4 · 16 ) = 728

3 0
3 years ago
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