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Zolol [24]
3 years ago
15

Members of a community center have decided to paint a large circular mural in the middle of the parking lot. The radius of the m

ural is to be 11 yards. Before they begin painting the mural, they use a rope to form the outline. How many yards of rope will they need?
Mathematics
1 answer:
ss7ja [257]3 years ago
6 0

Answer:

<h2>69.124 yards of rope</h2>

Step-by-step explanation:

This problem bothers on the mensuration of flat shapes, circles.

given that  the members of the community used  rope as outline for the circular shape mural.

we can tell that the perimeter of the mural is same as the perimeter of the rope.

Hence the length of rope used is same as the perimeter of the circular mural.

we know that the perimeter of a circle is given as

C=2\pi r\\\\

substituting radius r= 11 yards

we have

C= 2*3.142*11\\\\C= 69.124 yards

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An apartment complex rents an average of 2.3 new units per week. If the number of apartment rented each week Poisson distributed
masya89 [10]

Answer:

P(X\leq 1) = 0.331

Step-by-step explanation:

Given

Poisson Distribution;

Average rent in a week = 2.3

Required

Determine the probability of renting no more than 1 apartment

A Poisson distribution is given as;

P(X = x) = \frac{y^xe^{-y}}{x!}

Where y represents λ (average)

y = 2.3

<em>Probability of renting no more than 1 apartment = Probability of renting no apartment + Probability of renting 1 apartment</em>

<em />

Using probability notations;

P(X\leq 1) = P(X=0) + P(X =1)

Solving for P(X = 0) [substitute 0 for x and 2.3 for y]

P(X = 0) = \frac{2.3^0 * e^{-2.3}}{0!}

P(X = 0) = \frac{1 * e^{-2.3}}{1}

P(X = 0) = e^{-2.3}

P(X = 0) = 0.10025884372

Solving for P(X = 1) [substitute 1 for x and 2.3 for y]

P(X = 1) = \frac{2.3^1 * e^{-2.3}}{1!}

P(X = 1) = \frac{2.3 * e^{-2.3}}{1}

P(X = 1) =2.3 * e^{-2.3}

P(X = 1) = 2.3 * 0.10025884372

P(X = 1) = 0.23059534055

P(X\leq 1) = P(X=0) + P(X =1)

P(X\leq 1) = 0.10025884372 + 0.23059534055

P(X\leq 1) = 0.33085418427

P(X\leq 1) = 0.331

Hence, the required probability is 0.331

6 0
3 years ago
A triangle has two sides of lengths 7 and 12 what value could the third side be?
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a,b,c- sides\ of \ triangle\\\\Conditions\ for\ triangle \existing\\\\a+b>c\\b+c>a\\a+c>b\\\\\ a=7\\b=12\\\\1.\\7+12>c\ \ \ -->c7\ \ \ -->c>7-12\ \ c>\ -->-5\\3.\\7+c>12\ \ -->c>12-7\ \ -->c>5\\\\Product \ of\ all\ conditions\\ c\in(5,19)
7 0
3 years ago
Suppose the average farm owned by the farmers who joined Shays' Rebellion had an area of
zloy xaker [14]

Answer:

d would be the answer

Step-by-step explanation:

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8 0
3 years ago
What is the missing number in this sequence:<br> 1, 16, __, 100, 169
Viefleur [7K]

Answer: 49

Step-by-step explanation:

7 0
4 years ago
Holly had 30 pencils.she gave 6 pencils to her friends .3/8 of her pencils need to be sharpened.How many of Holly’s pencils need
mafiozo [28]
This is the concept of algebra. Given that Holly has 30 pencils, the total number of pencils that Holly remained with after she gave her friends 6 pencils are:
Total=30-6=24 pencils 
The fraction of pencils that need to be sharpened is 3/8
The number of pencils represented by this fraction will be:
(fraction of un-sharpened pencils)×(total number of remaining pencils)
3/8×24
=9 pencils
therefore we conclude that 9 pencils are not sharpened.
6 0
4 years ago
Read 2 more answers
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