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cluponka [151]
2 years ago
12

Pleaseeeee help with this! Thank you so much!

Mathematics
1 answer:
algol [13]2 years ago
6 0

Answer:

≈ 7.85 cm

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

given A = 225π , then

πr² = 225π ( divide both sides by π )

r² = 225 ( take square root of both sides )

r = \sqrt{225} = 15

the arc length is calculated as

arc = circumference × fraction of circle

      = 2πr × \frac{30}{360}

      = 2π × 15 × \frac{1}{12}

      = 30π × \frac{1}{12}

      = \frac{30\pi }{12}

      ≈ 7.85 cm ( to 2 dec. places )

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Hank buys a used car for $8,900 and plans to sell it on his used car lot. What is the price of the car after a markup of 12%? Ro
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Coby needs to know the area and perimeter of his farm property. The length of his property is 1 6 mile and the width is 2 9 mile
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P= 7/9 miles

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Step-by-step explanation:

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3 years ago
In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample
Rasek [7]

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) 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".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

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 we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

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3 years ago
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