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emmainna [20.7K]
3 years ago
6

Select the correct answer from each drop down menu?

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:  Area of Fountain = 147/147.58

               Area of Circular path = 28.26

Step-by-step explanation:

formula for area of circle = pi x r^2

radius of fountain - \\ \sqrt{47} \\

area= 22/7 x 47 (as \sqrt{47} is squared)

<u><em>=147</em></u>

radius of circular path - \sqrt{56}

area= 22/7 x 9 ( \sqrt{56} is radius and \sqrt{47} is of the fountain subtract them you'll get 9 )

<em><u>=28.26</u></em>

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Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes

Step-by-step explanation:

Dylan,

If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.

To set up the "equation" think about it this way:  (1 mile/ t) = (4 mile/ 1 hr)

so 1/t = 4/1 hr  

now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)

t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.

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Answer:

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Step-by-step explanation:

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Damon buys lumber worth $562. He gets a 20% contractors discount. The sales tax is 6%. His credit card gives him 2% off. How muc
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Answer:

$467.05

Step-by-step explanation:

By getting a discount of 20%, it means he pays 100-20=80% of the initial price

80% is same as 0.8

Price after discount will be

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Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06

Final price inclusive of tax

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Answer:

slope: -1/2

y-intercept: 2

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According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth wh
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Answer:

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

Step-by-step explanation:

For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.

This means that p = 0.267

What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

10 individuals, so n = 10.

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.267)^{0}.(0.733)^{10} = 0.0448

P(X = 1) = C_{10,1}.(0.267)^{1}.(0.733)^{9} = 0.1631

P(X = 2) = C_{10,2}.(0.267)^{2}.(0.733)^{8} = 0.2673

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0448 + 0.1631 + 0.2673 = 0.4752

47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth

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