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Bogdan [553]
3 years ago
5

Many urban zoos are looking at ways to effectively handle animal waste. One zoo has installed a facility that will transform ani

mal waste into electricity. To estimate how many pounds of waste they may have to fuel the new facility they began keeping meticulous records. They discovered that the amount of animal waste they were disposing of daily is approximately Normal with a mean of 348.5 pounds and a standard deviation of 38.2 pounds. Amounts over 350 pounds would generate enough electricity to cover what is needed to for the entire aquarium that day. Approximately what proportion of the days can the zoo expect to obtain enough waste to cover what is needed to run the entire aquarium for the day?
(A) 0.484
(B) 0.499
(C) 0.516
(D) 0.680
(E) 0.950
Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer: The correct answer is (A).

Step-by-step explanation:

Let X = the amount of waste produced in a given day. X follows a distribution that is approximately Normal with a mean of 348.5 pounds and a standard deviation of 38.2 pounds.

P(X > 350) = Normalcdf(lower: 350, upper: 1000, mean: 348.5, SD: 38.2) = 0.484.

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The Louvre is an art museum in Paris. A glass square base pyramid sits in front of the entrance to the museum. If the pyramid is
Sveta_85 [38]

Answer:

lateral area = 2320 m²

Step-by-step explanation:

The question wants us to calculate the lateral area of a square base pyramid. The square base pyramid has a side of 40 meters.The height is 21 meters.

Half of the square base is 40/2 =  20 meters . With the height it forms a right angle triangle. The hypotenuse side is the slant height of the pyramid.

Using Pythagoras's theorem

c² = a² + b²

c² = 20² + 21²

c² = 400 + 441

c² = 841

square root both sides

c = √841

c = 29 meters

The slant height of the pyramid is 29 meters.

The pyramid has four sided triangle. The lateral area is 4 multiply by the area of one triangle.

area of triangle = 1/2 × base × height

base = 40 meters

height = 29 meters

area = 1/2 × 40 × 29

area = 580

area of one triangle = 580 m²

Lateral area = 4(580)

lateral area = 2320 m²

5 0
3 years ago
Question 2
kari74 [83]

Answer:

7:55 am

Step-by-step explanation:

To determine the time needed to leave, add up all of the elapsed time and subtract that from the 8:50 departure time. The 10 minutes from walking to the platform puts us at 8:40 am, 30 minutes to reach the station puts us at 8:10 am, and the extra 15 minutes gives a time of 7:55 am.

4 0
2 years ago
What is 1/10 of an income of 97.50?
rosijanka [135]
9.75 thats the answer
3 0
3 years ago
Rectangle ABCD has vertices A(1, 2) , B(4, 2) , C(1, −2) , and D(4, −2) . A dilation with a scale factor of 6 and centered at th
iogann1982 [59]
B because its ratio matches the (4,2)
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3 years ago
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The guest at a party shared five pies equally in each person get 1/8 of a pie how many guest were at the party?
masya89 [10]

Answer: 40 people

Step-by-step explanation:

There were 5 pies in the party and each person that came got an equal share of 1/8.

The number of people who were there is therefore:

= Number of pies / Share each person got

= 5 ÷ 1/8

= 5 * 8/1

= 40 people

6 0
3 years ago
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