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Alexus [3.1K]
3 years ago
11

What is the solution set of { x I x < -5} n { x I x> 5

Mathematics
1 answer:
Shtirlitz [24]3 years ago
5 0

For this case we have to:

x Represents the solution of all strict minor numbers to -5.

x> 5: Represents the solution of all strict major numbers to 5.

The global solution is given by the intersection of both sets. The symbol of intersection is denoted as: ∩

If we represent the solution in a numerical line, it gives us empty. do not intersect.

Answeer:

Empty set

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Find the fraction of stundents enrolled in each language
blondinia [14]

Fraction of students enrolled in Chinese = \frac{51}{126}

Fraction of students enrolled in French = \frac{33}{126}

Fraction of students enrolled in Spanish = \frac{42}{126}

Solution:

Total number of students = 51 + 33 + 42

                                          = 126

Number of students enrolled in Chinese = 51

Fraction of students enrolled in Chinese

             $=\frac{\text{Number of students enrolled in Chinese}}{\text{Total number of students}}

             $=\frac{51}{126}

Fraction of students enrolled in Chinese = \frac{51}{126}

Number of students enrolled in French = 33

Fraction of students enrolled in French

             $=\frac{\text{Number of students enrolled in French}}{\text{Total number of students}}

             $=\frac{33}{126}

Fraction of students enrolled in French = \frac{33}{126}

Number of students enrolled in Spanish = 42

Fraction of students enrolled in Spanish

             $=\frac{\text{Number of students enrolled in Spanish}}{\text{Total number of students}}

             $=\frac{42}{126}

Fraction of students enrolled in Spanish = \frac{42}{126}

7 0
3 years ago
The diameter of a round dinner plate is 10 inches. What's the area of the plate?
Anni [7]
Lets say pi is 3.14
The area of a circle is: pi*radius squared
The radius is half the diameter so it is 5 inches.
3.14*5 squared 2
3.14*25
78.5inches squared

3 0
3 years ago
Read 2 more answers
Find the volume of each cone.
SVEN [57.7K]

Answer:

1. V={π(3^2)*9 in^3}/3=84.82 in^3

2. V= {π(7^2)*11 in^3}/3=564.44 in^3

3. V= {π(15^2)*20 in^3}/3=4,712.39 yd^3

Step-by-step explanation:

V=π(r^2)h

5 0
3 years ago
Charlie wants to buy new carpet for his living room floor the floor is in the shape of a rectangle its length is 15 feet and the
sdas [7]

Answer:

135 square ft.

Step-by-step explanation:

To solve this equation, you need to find the area of this rectangle. Area is always base x height, or in this case, length x width. Now you multply your length, 15', by your width, 9', to get your answer, 135 square feet. When you multiply two measurments of the same unit together, you get square (units), which simply means that you multiplied two of the same unit of measurment together.

8 0
3 years ago
Michael is running for president. The proportion of voters who favor Michael is 0.8. A random sample of 100 voters is taken.
Anton [14]

Answer:

Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.

a)

What is the expected value :: n*p = 100*0.8 = 80

standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16

where q is proportion of voters who do not favor Michael. (q=0.2)

and shape of the sampling distribution is binomial distribution  which is  approximately a  bell shaped.

-------------------------

what is the probability that the number of voters in the sample who will not favor Michael will be more than 16

P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587        

P(X > 16.0) = 1 - 0.1587 = 0.8413

5 0
3 years ago
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