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stiks02
8 hours ago
6

A newspaper vendor sells three papers to 135 customers, the papers are the daily times, the observer and the new Nigeria. 70 cus

tomers buy the daily time, 60 the observer, 50 the new Nigeria, 17 buy both the daily times and the observer, 15 buy both the observer and the new time Nigeria, 16 the daily times and new Nigeria, how many customers brought (1) all the three papers​
Mathematics
1 answer:
AnnZ [3.8K]8 hours ago
5 0

Answer:

Three customers purchased all three newspapers.

Step-by-step explanation:

Let D, O, and N stand for the three newspapers.

D = The Daily Times

O = The Observer

N = The New Nigeria.

According to the provided information,

n(D\cup O\cup N)=135, n(D)=70,n(O)=60,n(N)=50

n(D\cap O)=17, n(O\cap N)=15, n(D\cap N)=16

We can deduce that:

n(A\cup B\cup C) = n(A) + n(B) + n(C)-n(A\cap B)-n(B\cap C)-n(C\cap A) + n(A\cap B\cap C)

Applying this formula, we discover

n(D\cup O\cup N) = n(D)+n(O) + n(N)-n(D\cap O)-n(O\cap N)-n(N\cap D) + n(D\cap O\cap N)

135 =70+60+50-17-15-16 +n(D\cap O\cap N)

135 =132+n(D\cap O\cap N)

135 -132=n(D\cap O\cap N)

3=n(D\cap O\cap N)

Hence, three customers bought all three papers.

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Answer:

The likelihood of selecting an individual with high blood pressure who is also a runner is 2/3.

Step-by-step explanation:

Based on the data provided:

P( Choosing someone with high blood pressure )  =  0.3

or stated as P(H)  = 0.3

P( Choosing a runner )  =  0.4

or stated as P(R)  = 0.4

Now, P( Selecting a person with high blood pressure as well as being a runner)  = 0.2

⇒ P(H∩ R)  = 0.2

Next, we want to calculate the P(the selected individual is a runner, given they have high blood pressure)

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Using BAYES THEOREM:

P(R/H) = \frac{P(R\cap H)}{P(H)}

\implies P(R/H) = \frac{0.2}{0.3 } = \frac{2}{3}

So, the chance of choosing a person with high blood pressure who is a runner stands at 2/3.

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3 days ago
You need to haul a load of patio bricks to a job site. each brick weighs 4 pounds 14 ounces. your truck can carry a 3/4-ton load
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To solve this problem, we need to convert the measurements so we can carry out the necessary calculations. A ton equals 2000 pounds, therefore, 3/4 ton translates to 1500 pounds. Since there are 16 ounces in a pound, 4 pounds and 14 ounces amounts to 4.875 pounds. To find the number of bricks, we divide:
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7 0
1 day ago
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Step-by-step explanation:

Let h denote the hourly rate for the rototiller rental.

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Answer:

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Mathematically, R>10 indicates the required domain.

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