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kykrilka [37]
3 years ago
14

Find the circumference, perimeter, and area.

Mathematics
1 answer:
Vinil7 [7]3 years ago
5 0

Answer:

Perimeter b = circumference b = 10π; Area b = 50π

Perimeter c = circumference c = 10.5π; Area b = 27π

Step-by-step explanation:

b. Circumference = perimeter

Circumference of semicircle= πr=10π =Perimeter

Area of semi circle=πr^2/2=10^2π/2=50π

c. Circumference = 7/4πr=1.75*6π=10.5π=Perimeter

Area of the diagram = 3/4πr^2=0.75π*6^2=0.75π*36=27π

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Step-by-step explanation:

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ExtremeBDS [4]

Step-by-step explanation:

the circumference of a circle is

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now, it is the same wire of the same length that is now forming a circle.

so, the circumference of the square is also the circumference of the circle.

therefore,

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Is this a function. ?
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3 years ago
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If 90 percent of automobiles in Orange County have both headlights working, what is the probability that in a sample of eight au
Marta_Voda [28]

Answer:

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And we can find the individual probabilities using the probability mass function

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P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

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Step-by-step explanation:

Previous concepts  

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".  

Solution to the problem

Let X the random variable of interest "number of automobiles with both headligths working", on this case we now that:  

X \sim Binom(n=8, p=0.9)  

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

And for this case we want to find this probability:

P(X \geq 7) = P(X=7) +P(X=8)

And we can find the individual probabilities using the probability mass function

P(X=7)=(8C7)(0.9)^7 (1-0.9)^{8-7}=0.3826  

P(X=8)=(8C8)(0.9)^8 (1-0.9)^{8-8}=0.4305  

And replacing we got:

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Will choose brainliest! Please help! (This is Khan Academy)
NeTakaya

Answer:

Option B. A = (5/6)^-⅛

Step-by-step explanation:

From the question given above, we obtained:

(5/6)ˣ = A¯⁸ˣ

We can obtain the value of A as follow:

(5/6)ˣ = A¯⁸ˣ

Cancel x from both side

5/6 = A¯⁸

Recall:

M¯ⁿ = 1/Mⁿ

A¯⁸ = 1/A⁸

Thus,

5/6 = 1/A⁸

Cross multiply

5 × A⁸ = 6

Divide both side by 5

A⁸ = 6/5

Take the 8th root of both sides

A = ⁸√(6/5)

Recall

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