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liberstina [14]
3 years ago
15

How many​ flowers, spaced every 4 ​in., are needed to surround a circular garden with a 125​-ft ​radius? Use 3.14 for pi

Mathematics
1 answer:
Vesna [10]3 years ago
6 0

Answer:

2356 flowers

Step-by-step explanation:

The number of flowers will be given by

F=1+p/s

Where p is perimeter and s is rhe spacing

Perimeter of a circle is given by

P=2\pi r

Where r is the radius of the garden.

Substituting 125 ft for radius, rhe perimeter will be

P=2*3.14*125=785 ft

Conversion

Converting ft to inches, we multiply ft by 12 hence 785*12=9420 inches

Number of flowers will then be

F=1+9420/4=1+2355=2356 flowers

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4 years ago
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75% of all undergraduates are in the College, 10% are in Engineering, 8% are in Commerce, 4% are in Nursing, and 3% are in Archi
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Answer:

the probability a randomly selected student is a third-year that they are in the College is 0.1743

Step-by-step explanation:

Given information

75% College = C = 0.75

10% are in Engineering, Eng = 0.1

8% are in Commerce, Com = 0.08

4% are in Nursing, Nurs = 0.04

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21% Third year student = S = 0.21

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25% in Engineering = 0.25

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P(SlC) = 0.75 x 0.21 = 0.1575 is the probability of third year student in college

P(SlEng) = 0.1 x 0.25 = 0.025

P(SlCom) = 0.08 x 0.49 = 0.0392

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P(SlArch) = 0.03 x 0.33 = 0.0099

P(S) = P(SlEng) + P(SlCom) + P(SlNurs) +P(SlArch)

       = 1- (0.025 + 0.0392 + 0.0288 + 0.0099)

       = 0.9031

The probability of third year student in college is

P(ClS) = P(SlC) / P(S)

           = 0.1575 / 0.9031

           = 0.1743

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4 years ago
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