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sdas [7]
3 years ago
8

Ruby has a bird feeder which is visited by an average of 13 birds every 2 hours during daylight hours. What is the probability t

hat the bird feeder will be visited by more than 3 birds in a 40 minute period during daylight hours? Round your answer to three decimal places.
Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

62.93%

Step-by-step explanation:

We have to solve it by a Poisson distribution, where:

p (x = n) = e ^ (- l) * l ^ (x) / x!

Where he would come being the number of birds that there would be in 40 minutes, we know that in 2 hours, that is 120 minutes there are 13, therefore in 40 there would be:

l = 13 * 40/120

l = 4,333

Now, we have p (x> 3) and that is equal to:

p (x> 3) = 1 - p (x <= 3)

So, we calculate the probability from 0 to 3:

 p (x = 0) = 2.72 ^ (- 4.33) * 4.33 ^ (0) / 0! = 0.01313

p (x = 1) = 2.72 ^ (- 4.33) * 4.33 ^ (1) / 1! = 0.0568

p (x = 2) = 2.72 ^ (- 4.33) * 4.33 ^ (2) / 2! = 0.12310

p (x = 3) = 2.72 ^ (- 4.33) * 4.33 ^ (3) / 3! = 0.17767

If we add each one:

0.01313 + 0.0568 + 0.12310 + 0.17767 = 0.3707

replacing:

p (x> 3) = 1 - 0.3707

p (x> 3) = 0.6293

Which means that the probability is 62.93%

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The length of an arc is 18cm and the radius of the circle is 6cm. What is the radian
ruslelena [56]

Answer:

3

Step-by-step explanation:

Radian= arc/radius

18/6=3

6 0
2 years ago
An article bought for rs.800 is sold for 5/4 of the cost price. Find the profit percentage​
irina [24]

Answer:

the answer is 25% :D

3 0
3 years ago
Miguel recently sold some farmland and bought a new plot that consists of 968 acres. Miguel calculates that this is 20% less acr
Delicious77 [7]

Answer:

1210 acres

Step-by-step explanation:

Given data

let the old farmland be x acres

new farmland = 968 acres

therefore

let us find 20% of the old farmland

=20/100x

=0.2x

Hence

968+0.2x=x

collect like terms

968=x-0.2x

968=0.8x

x= 968/0.8

x=1210 acres

6 0
3 years ago
What is the value of H
never [62]

Answer:

h = 55

Step-by-step explanation:

the sum of the 3 angles in a triangle = 180°

the 2 unknown interior angles = 180 - 2h ( straight angle ), hence

the sum of the 3 angles

180- 2h + 180 - 2h + 40 = 180

400 - 4h = 180 ( subtract 400 from both sides )

- 4h = - 220 ( divide both sides by - 4 )

h = 55


6 0
3 years ago
Total mass vs. numbers of cd and numbers of cd
Gekata [30.6K]

Answer: Choice A) M = 0.25n + 100

=============================================================

Explanation:

For now, I'll treat n as x, and M as y.

In other words,

  • x = number of CDs
  • y = total mass in kg

Let's select two points from this graph. I'll pick (200,150) and (400,200)

The slope of the line through those points is

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

m = (200-150)/(400-200)

m = 50/200

m = 0.25

Now we'll use the point (x,y) = (200,150) along with that slope value to find the y intercept b

y = mx+b

150 = 0.25*200+b

150 = 50+b

150-50 = b

100 = b

b = 100

You could also use (x,y) = (400,200) and you should get the same b value.

In fact, any other point from this graph works as well.

------------------------------

Since m = 0.25 and b = 100, we go from y = mx+b to y = 0.25x+100

This then translates over to M = 0.25n + 100 which is choice A

To help verify this, let's say we plugged in n = 100

M = 0.25*n + 100

M = 0.25*100 + 100

M = 25 + 100

M = 125

Which is confirmed by what the graph shows. I'll let you check the other points as well.

7 0
3 years ago
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