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Sedbober [7]
3 years ago
6

Find the probability that a point choseb at randon the figure will lie in the shaded region. Write your anser as a percentage ro

unding to the nearest hundreth in percentage form

Mathematics
2 answers:
nika2105 [10]3 years ago
8 0
<h3>Answer:  21.46%</h3>

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

Explanation:

Let's find the area of one of the circles

A = pi*r^2

A = pi*10^2

A = 100pi

One circle is exactly 100pi square meters in area.

Four of the circles then combine to a total area of 4*100pi = 400pi square meters.

The distance along the bottom of the square is equal to two diameters, each diameter being 2r = 2*10 = 20 meters. So the distance along the bottom of the square is 2*20 = 40 meters. The square has an area of 40^2 = 1600 square meters.

The shaded region would therefore have an exact area of 1600-400pi square meters.

This approximates to 1600-400pi = 343.362938564082

Divide this over the area of the square to get the probability we want to find:

343.362938564082/1600 = 0.21460183660256

That's roughly 0.2146, which converts to 21.46%

Mashcka [7]3 years ago
3 0

Answer:

21.5%

Step-by-step explanation:

Find the area of the square, which is 40² or 1600 sq m

Find the area of one circle, multiply it by 4, then subtract that from 1600

A = 100(3.14) = 314

314 x 4 = 1256

1600 - 1256 = 344

Probability of landing in the shaded region is 344/1600 = 21.5%

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In which of these examples, binomial distribution can be used? a) Finding the best month to launch a new product b) Accurately p
irina1246 [14]

Answer: The answer is (d) Accurately predicting who will be promoted at work.


Step-by-step explanation:  We are given four options and asked in which of these four, we can use binomial distribution.

Binomial distribution is used in that experiments where there are only two outcomes, either success or failure.

In the given four options, (a), (c) and (d) are incorrect, because the number of outcomes are not fixed there and hence we cannot use binomial distribution.

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7 0
3 years ago
The measure of the angle of depression from the top of a 270 m building tweet park bench on the ground is 63° 43’.How far Where
Norma-Jean [14]

Answer:

547 m

Step-by-step explanation:

Given :

Angle of depression, θ = 63°43' ; 43/60 = 0.7167 = 63 + 0.7167 = 63.7167°

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The distance of park bench from the building, d is given by :

Tan θ = opposite / Adjacent

Tan 63.7167 = d / 270

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8 0
2 years ago
What is the area of the triangle?
Roman55 [17]

Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
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