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andrey2020 [161]
2 years ago
7

Modeling the number of transport bus breakdowns in every month to determine if an additional bus should be purchased. The runnin

g average has been 5 breakdowns per month. To calculate the probability of exactly 2 breakdowns next month:
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
6 0

Answer:

The probability of exactly 2 breakdowns next month = 0.08422

Step-by-step explanation:

To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 5 breakdowns per month

x = 2 breakdowns per month

P(X = 2) = (e⁻⁵)(5²)/2!

P(X = 2) = 0.08422

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What is the average rate of change for <br><br> f (x)=0.5 (-10x + 24)?
xenn [34]

Answer:

The rate of change of the function is -5.

Step-by-step explanation:

Given : Function f(x)=0.5(-10x+24)

To find : What is the average rate of change ?

Solution :

Function f(x)=0.5(-10x+24)

The rate of change is the first derivative.

f(x)=-5x+12

Derivate w.r.t. x,

f(x)=-5

Therefore, The rate of change of the function is -5.

5 0
3 years ago
2.<br> A line goes through the points (0, 10) and (-1, 1).<br> 2a<br> What is the slope of the line?
sashaice [31]

Answer:

9

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1 -10)/(-1 -0)

   = -9/-1

   = 9

6 0
3 years ago
Read 2 more answers
Rearrange the forumla<br> v = u + at for t.
bezimeni [28]
T=v-u/a Hope this helps??!?
7 0
3 years ago
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A miner descended 1200 feet into a mine. While in the mine, he then rose 900 feet and then descended 350 feet. What was the mine
solniwko [45]
We can just add all these numbers together because they are just addition and subtraction.

We assume the miner starts at 0 (the surface).

0 - 1200 (down) + 900 (up) - 350 (down) = -650 (C)
6 0
2 years ago
PLEASE HELP PICTURE IS SHOWN
Tomtit [17]
Looking at the attachment, we'll determine entire hexagon area with this formula:
area = apothem^2 *Number of sides * tan(180/n)
area = 17.32^2 * 6 * tan (30)
area =  <span> <span> <span> 299.9824 </span> </span> </span> * 6 * 0.57735
area = <span><span><span> 1,039.16903184 </span> </span> </span>
Now we subtract the triangle area (16*20 = 320)
shaded area = <span> 1,039.16903184 -320 = </span> <span> <span> <span> 719.16903184 </span> </span> </span>
<span>answer is D
  </span>


6 0
2 years ago
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