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Stels [109]
3 years ago
8

Two trees are in a garden. The 20-foot tree casts a shadow four feet long. If the other tree is 15-foot tall, how long will its

shadow be?
1. 3 feet
2. 5 feet
3. 5 1/3
4. 8 feet
Mathematics
1 answer:
Usimov [2.4K]3 years ago
5 0
20/4 = 15/x
20x = 60
x = 3 feet
choice (1.) is the answer


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At a large nursery, a border for a rectangular garden is being built. Designers want the border’s length to be twice as long as
sasho [114]

Let

x--------> the border’s length

y--------> the border’s width

P--------> perimeter of the border

we know that

x=5+y------> equation 1

P=2*[x+y]-----> P=2x+2y

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substitute the equation 1 in equation 2

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A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and fe
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Based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

<h3>What is probability?</h3>

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Two events, A and B are independent, if:

P(A \cap B) = P(A) P(B)

In this problem, the events are:

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Out of the 1000 people, 450 are female, hence:

P(A) = \dfrac{450}{1000} = 0.45

850 earn over $50,000, hence:

P(B) = \dfrac{850}{1000} = 0.85

375 are women who earn over $50,000, hence:

P(A \cap B)  = \dfrac{375}{1000} = 0.375

The multiplication of the probabilities is:

P(A \cap B)  = 0.45(0.85} = 0.3825

Therefore based on the data, it is found that "being female" and "earning over $50,000" are not independent events. the correct answer is option D.

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