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Dahasolnce [82]
3 years ago
7

You and a friend want to know how much rope you need to climb a large rock.  Your friend is 5.5 feet tall and casts a shadow tha

t is 18 feet long.  If the rock casts a shadow that is 209.5 feet long, calculate the height of the rock from the ground.  Round your answer to the nearest foot.  (Hint: make a drawing)

Mathematics
1 answer:
siniylev [52]3 years ago
6 0
The drawing shows the rock height to be 64 ft.

The shadow lengths are proportional to the object heights, so we have
   (rock height)/(209.5 ft) = (5.5 ft)/(18 ft)
   (rock height) = (209.5 ft)*(5.5/18) ≈ 64.01 ft

The height of the rock from the ground is about 64 ft.

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Salsk061 [2.6K]

Answer:

22

Step-by-step explanation:

f. 24-(5-9+18)÷7

24-(14)÷ 7

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hope it helps.....

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Read 2 more answers
4x + 12 = 12 one solution
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Answer:

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Step-by-step explanation:

4x+12=12

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4 years ago
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tatyana61 [14]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
A multiple choice exam has ten questions. Each question has five possible answers, of which one is correct. Suppose that a stude
Ber [7]

Answer:

8.81% probability that the student answers exactly 4 questions correctly

Step-by-step explanation:

For each question, there are only two possible outcomes. Either he answers it correctly, or he does not. The probability of answering a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

A multiple choice exam has ten questions.

This means that n = 10

The probability of answering any question correctly is 0.20.

This means that p = 0.2

What is the probability that the student answers exactly 4 questions correctly

This is P(X = 4).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 4) = C_{10,4}.(0.2)^{4}.(0.8)^{6} = 0.0881

8.81% probability that the student answers exactly 4 questions correctly

4 0
4 years ago
All of these have to be estimated using the chart shown^
umka21 [38]
Dont click that link its a virus
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