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PilotLPTM [1.2K]
3 years ago
6

Sandy wants to cover a wooden cylinder with a diameter of 1 ft and a height of 4 ft with carpet to build a scratching post for h

er cats. What are the steps she needs to take to complete this task?
Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

Sandy needs 14.13\ ft^{2} of carpet to build a scratching post for her cats

Step-by-step explanation:

Sandy needs to calculate the surface area of the cylinder

The surface area of the cylinder is equal to

SA=2\pi r^{2}+2\pi r(h)

we have

r=1/2=0.5\ ft ----> the radius is half the diameter

h=4\ ft

assume

\pi =3.14

substitute the values  

SA=2(3.14)(0.5)^{2}+2(3.14)(0.5)(4)

SA=14.13\ ft^{2}

Sandy needs 14.13\ ft^{2} of carpet to build a scratching post for her cats

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Hence,

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Answer:

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Step-by-step explanation:

Denote the events as follows:

<em>R</em> = reported case of rabies is a raccoon

<em>F</em> = reported case of rabies is a fox

<em>B</em> = reported case of rabies is a bat

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The data provided is:

P (R) = 0.55

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(a)

A property of a probability distribution is that the sum of all individual properties is 1.

That is, \sum P(X)=1

Compute the value of <em>x</em> as follows:

\sum P(X)=1\\P(R)+P(F)+P(B)+P(O)=1\\0.55+0.11+0.04+x=1\\0.70+x=1\\x=1-0.70\\x=0.30

Thus, the value of <em>x</em> is 0.30.

(b)

The probability of the complement of an event is the probability of its not happening.

P(A^{c})=1-P(A)

Compute the probability that a reported case of rabies is not a raccoon as follows:

P(R^{c})=1-P(R)\\=1-0.55\\=0.45

Thus, the probability that a reported case of rabies is not a raccoon is 0.45.

(c)

Compute the probability that a reported case of rabies is either a bat or a fox as follows:

P(B\cup F)=P(B)+P(F)\\=0.11+0.04\\=0.15

Thus, the probability that a reported case of rabies is either a bat or a fox is 0.15.

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