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tester [92]
3 years ago
14

The floor of a large ware house is rectangular in shape and its length is twice as long as its width. The area of the floor of t

he warehouse is 39,200 square feet. What is the length of the floor of the warehouse in feet?
Mathematics
1 answer:
Alex787 [66]3 years ago
4 0

Answer:

The length of the warehouse is 280 feet.

Step-by-step explanation:

Let A be the area of the warehouse floor, W be its width, and L be its length.

A = W * L

We know that the length is twice the width:

L = 2W

Substitute the second equation into the first equation and we get:

A = 2W * W

Solve for W (A = 39200):

39200 = 2W * W

39200 = 2W²

19600 = W²

W = 140

Plug that number into the second equation to get the length:

L = 2 * 140

L = 280

So the length of the warehouse is 280 feet, the width is 140 feet, and the total area is 39200 ft²

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A school newspaper reporter decides to randomly survey 17 students to see if they will attend Tet (Vietnamese New Year) festivit
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There is a typing mistake in part (d) of the question. Original question states that total student are 17. In part (d) it asks out of 12 which I think is a mistake as total is 17. Therefore, I am finding the answers with total students as 17. In case if the total is 12 then by just replacing 17 with 12 we can find the answer.

 

Answer:

All the answers and explanations are given below.

Step-by-step explanation:

(a)

The random variable X will be defined as the number of students who will attend the Tet (Vietnamese New Year) festivities this year.

(b)

As X is the number of students so it can take any value from 0 to 17. This means that when X = 0, 0 student will attend the Tet (Vietnamese New Year) festivities this year. Similarly if X = 17, all 17 students will attend the Tet (Vietnamese New Year) festivities this year. It can only take whole number values because its the  number of students.

(c)

X follows Binomial distribution with probability of success = 23% (success defined as attending the festivities).

n = 17 (total number of students)

p = 23% = 0.23 (probability of success)

X ~ Binomial (17, 0.23)

(d)

The number can be found out by  n*p

n = 17

p = 0.23

np =  3.91

(e)

Using binomial cdf function in the calculator or any Binomial Probability Calculator  online we can find

P(X ≤ 4) = 0.65

<em>This means at most the value can be 4. So the we need to find probability of less than or equal to 4.</em>

(f)

To find probability of more than 2 students  we first find probability of less than and equal to 2 students and then subtract it from the total probability which is 1.

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3 years ago
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Step-by-step explanation:

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Answer:

1 5/8

Step-by-step explanation:

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