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marshall27 [118]
3 years ago
12

In the Venn diagram alongside, shade the region representing the following sets. (a) ĀUB (b) Ā-B ​

Mathematics
1 answer:
Natali5045456 [20]3 years ago
4 0

Refer to the attachment

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If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers. Roun
AlekseyPX

Answer:

P = 0.008908

Step-by-step explanation:

The complete question is:

The table below describes the smoking habits of a group of asthma sufferers

               Nonsmokers      Light Smoker     Heavy smoker      Total

Men                        303                     35                           37        375

Women                   413                     31                            45        489

Total                        716                     66                           82        864

If two different people are randomly selected from the 864 subjects, find the probability that they are both heavy smokers.

The number of ways in which we can select x subjects from a group of n subject is given by the combination and it is calculated as:

nCx=\frac{n!}{x!(n-x)!}

Now, there are 82C2 ways to select subjects that are both heavy smokers. Because we are going to select 2 subjects from a group of 82 heavy smokers. So, it is calculated as:

82C2=\frac{82!}{2!(82-2)!}=3321

At the same way, there are 864C2 ways to select 2 different people from the 864 subjects. It is equal to:

864C2=\frac{864!}{2!(864-2)!}=372816

Then, the probability P that two different people from the 864 subjects are both heavy smokers is:

P=\frac{82C2}{864C2}=\frac{3321}{372816}=0.008908

4 0
3 years ago
Your friend claims that if a line has a slope less than 1, then any line perpendicular to it must have a positive slope. Is your
mezya [45]

Answer:

The friend's claim is not correct

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal yo -1)

Example

A given line has a slope of m_1=1/2  ---> (is less than 1)

the slope of the line perpendicular to the given line is equal to

m_1*m_2=-1

substitute

(1/2)*m_2=-1

m_2=-2

so

the perpendicular line don't have a positive slope

therefore

The friend's claim is not correct

5 0
3 years ago
All natural numbers are real numbers
docker41 [41]

Answer: True

Step-by-step explanation: Natural numbers are the set of counting numbers and they begin at 1 and go on forever. All natural numbers are real numbers. In fact, the majority of numbers are real numbers such as imaginary numbers.

6 0
3 years ago
The pro shop at the Live Oak Country Club ordered two brands of golf balls. Par One balls cost $2.00 each and the Pro Sport ball
mario62 [17]

Answer:

If an equal number of each brand was ordered, how many dozens of each brand were ordered?

  • 50 dozens of each brand

Step-by-step explanation:

in order to determine the number of balls purchased, we must first determine the difference in price between them = $2 - $0.90 = $1.10

since the total difference in price was $660 and an equal number of balls were purchased, then the number of balls purchased = $660 / $1.10 = 600 balls

to determine the number of dozens purchased of each brand we just divide 600 by 12 = 50 dozens

8 0
3 years ago
A store has the following candles in a basket:
Inga [223]
This is your answer.

5 0
3 years ago
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