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Norma-Jean [14]
3 years ago
9

Find the volume of a shipping container in terms of x with the given dimensions, length of x+1, width of x-4, and height of x +

8
Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0
The answer is below, hopefully this helps

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During the period of time that a local university takes phone-in registrations, calls come in at the rate of one every two minut
Marizza181 [45]

Answer:

The expected number of calls in one hour is 30.

The probability of three calls in five minutes is P(3) \approx0.2138

The probability of no calls in a five-minutes is P(0) \approx 0.0821

Step-by-step explanation:

We know that the calls come in at the rate of one every two minutes. To find the expected number of calls in one hour you need to:

\frac{1 \:call}{2 \:minutes} \cdot 60 \:minutes=30 \:calls

To find the probability of these events:

  • three calls in five minutes
  • no calls in a five-minutes

We are going to use the Poisson distribution because is used when it is desirable to determine the probability of obtaining x occurrences over an interval of time like in this situation.

The Poisson probability function is defined by

P(x)=\frac{e^{-\mu}\mu^x}{x!}

where

x = 0, 1, 2, 3 ...

e = 2.71828

μ = mean number of successes in the given time interval or region of space

  • To find the probability of three calls in five minutes you need to:

Find μ

\mu=\frac{1 \:call}{2 \:minutes} \cdot 5 \:minutes=2.5 \:calls

Evaluate the formula for k = 3 and μ = 2.5

P(3)=\frac{e^{-2.5}2.5^3}{3!}\\P(3) \approx0.2138

  • To find the probability of no calls in a five-minute period you need to:

Evaluate the formula for  k = 0 and μ = 2.5

P(0)=\frac{e^{-2.5}2.5^0}{0!}\\P(0) \approx 0.0821

3 0
3 years ago
I need help pleasee!!
Harlamova29_29 [7]

Answer:

Step-by-step explanation:

1. the exterior angle in a triangle is equal to the sum of the 2 furthest angles in the triangle

9x+4=4x-7+86

this equation will give you what x is

after you find x, plug it into 9x+4 and set it = to 7y-1

5 0
4 years ago
CAN SOMEBODY PLS FILL THIS OUT ASAP!!!!
Margaret [11]

Answer:

3

6

9

12

15

Step-by-step explanation:

substitute them all and this is what you will get

3 0
3 years ago
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Find the value of each variable using sine and cosine.
kolbaska11 [484]

Answer:

Step-by-step explanation:

Sin 50° = \frac{opposite}{hypotenuese} = \frac{8}{n}

n=\frac{8}{sin 50} = 10.44

Cos 50° = \frac{adjacent}{hypotenuese}  = \frac{m}{n}

m = n cos 50 =  6.71

5 0
3 years ago
Mark had 312 books. He has 11 times more fiction than nonfiction. How many fiction does he have
andrew11 [14]
He has about 28 fiction books. Since 312 divided by 11 is equal to <span>28.3636363636, you can't have a decimal number for the amount of books, so you round down to 28. </span>
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3 years ago
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