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Gre4nikov [31]
3 years ago
14

The 7th graders at Sunview Middle School were helping to renovate a playground for the kindergartners at a nearby elementary sch

ool. City regulations require that the sand underneath the swings be at least 15 inches deep. The sand under both swing sets was only 12 inches deep when they started.
The rectangular area under the small swing set measures 9 feet by 12 feet and required 40 bags of sand to increase the depth by 3 inches. How many bags of sand will the students need to cover the rectangular area under the large swing set if it is 1.5 times as long and 1.5 times as wide as the area under the small swing set?
Mathematics
1 answer:
Alexus [3.1K]3 years ago
3 0
Please please thank you lord lord thank you please
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Pollution of the rivers in the United States has been a problem for many years. Consider the following events: a: the river is p
vampirchik [111]

Answer:

The answer is below

Step-by-step explanation:

P(A') = 1 - P(A) = 1 - 0.3 = 0.7

P(B'/A) = 1 - P(B/A) = 1 - 0.75 - 0.25

P(B/A') = 0.2, P(B'/A') = 1 - 0.2 = 0/8

P(C|A∩B) = 0.20,

P(C|A'∩B) = 0.15,

P(C|A∩B') = 0.80, and

P(C|A'∩B') = 0.90.

A) From conditional probability;

P(B/A) = P(B ∩ A) / P(A)

P(B∩A) = P(B/A) × P(A) = 0.75 × 0.3 = 0.225

P(C/A∩B) = P(A∩B∩C)/P(A∩B)

P(A∩B∩C) =  P(C/A∩B) × P(A∩B)

P(A∩B∩C) = 0.2 ×0.225 = 0.045

B) P(A∩B∩C) = P(A) × P(B/A) × P(C/A∩B)

P(B'∩C) = P(A∩(B'∩C)) + P((A'∩B')∩C)

P(B'∩C) = P(A) × P(B'/A) × P(C/A∩B') + P(A') × P(B'/A') × P(C/A'∩B')

P(B'∩C) = 0.3 × 0.25 × 0.8 + (0.7 × 0.8 × 0.9) = 0.06 + 0.504 = 0.564

C) P(C) =  P(A∩B∩C) +  P(A'∩B∩C)  +  P(A∩B'∩C) +  P(A'∩B'∩C)

P(A'∩B∩C) = P(A') × P(B/A') × P(C/A'∩B) = 0.7 × 0.2 × 0.15 = 0.021

P(A∩B'∩C) = P(A) × P(B'/A) × P(C/A∩B') =  0.3 × 0.25 × 0.8 = 0.06

P(A'∩B'∩C) = P(A') × P(B'/A') × P(C/A'∩B') = 0.7 × 0.8 × 0.9 = 0.504

P(C) =  P(A∩B∩C) +  P(A'∩B∩C)  +  P(A∩B'∩C) +  P(A'∩B'∩C) = 0.045 + 0.021 + 0.06 + 0.504 = 0.63

D) P(A/B'∩C) = P(A∩B'∩C)/P(B'∩C)

P(A/B'∩C) = 0.06 / 0.564 = 0.106

6 0
3 years ago
Six times a number is decreased by 5, the result is 19.what is the number?
marishachu [46]
Simple...

6x-5=19

x= 19+5
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x= 24/6
  = 4

Thus, your answer is 4.

Hope This Helps!
6 0
4 years ago
Select the correct graph and equation.
Natalija [7]

Answer: T = 3c - 150

So bottom right graph.

Hope this helps you!


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How do I find the missing value?
Usimov [2.4K]
Hope the given solution helps:) Have a great day. Do mark me brainliest if it has really helped you. Thank You.

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Mr.Williams drew
tia_tia [17]

Answer: Answer C , Only student 2, because dilation preserve angle measures and side lengths are proportional

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