Which of the following pair of sets is an example of disjoint sets?
X={rational numbers} and Y={whole numbers}
P={multiples of 2} and Q={multiples of 3}
G={multiples of 5} and H={multiples of 10}
E={even numbers} and F={odd numbers}

Answers

Answer 1

We want to see which pair of sets is disjoint, this is, see which pair of sets does not share any element.

The correct option is: E = {even numbers} and F = {odd numbers}

So we only need to see which one is the pair of sets that does not share any element, so we can analyze the given options and see if we can find a number that belongs to both sets.

1) X = {rational numbers} and Y = {whole numbers}

Any whole number is also a rational number, for example:

2 = 4/2

So we can write the number 2 as a quotient of two integers, then we can see that these sets share elements.

2) P={multiples of 2} and Q={multiples of 3}

The number 6 is a multiple of both 2 and 3, thus the number 6 belongs to bot sets, then the sets are not disjoint.

3) G={multiples of 5} and H={multiples of 10}

10 is a multiple of 10 and 5, so the number 10 belongs to both sets, thus the sets are not disjoint.

4) E={even numbers} and F={odd numbers}

We define the even numbers as the ones divisible by 2, while the odd numbers are those that are not divisible by 2. Then by definition, there is no even number that is also odd.

Then we can see that these two sets are disjoints, and this is the correct option.

If you want to learn more, you can read:

https://brainly.com/question/13143676


Related Questions

A company’s board of directors took a random sample of 10% of the company’s employees and surveyed them about their happiness at work. What would most likely happen if they decided to randomly sample 15% of the company’s employees instead?
A. The sample mean would more closely model the population mean.
B. The sample mean would not be affected.
C. There is not enough information to determine how the sample mean would be affected.
D. The sample mean would less closely model the population mean.

Answers

Answer:

The sample mean would more closely model the population mean.

Step-by-step explanation:

6.7
x 2.5
2 x 6 =
2 x 0.7 =
1
11
0.5 x 6 =
0.5 x 0.7 =

Answers

Answer:

6.7

x 2.5

2 x 6 =53

Step-by-step explanation:

Answer:

1. 16.75

2. 12

3. 1.4

4. 1

5. 11

6. 3

7. 0.35

Manuel has $50 in his bank account. Starting this week, he will deposit $30 into the
account each week. If Manuel does not take any money out of his account, how many
weeks will it take for the total amount of money in his account to reach $320?

Answers

Answer:

9 weeks

Step-by-step explanation:

50+ (30x9)=320

8 weeks because $50+$30 is $80. $80-$320 is $240.split $240 into 8 separate payments of $30

Please help! Thank you!

Answers

Answer:

X=sigma xi/no of observation

5= (?) /4

5*4=sum of all numbers

20=sum of all the observation

If you are helped by this answer pls tag me brianliest I really want it

THANK YOU.......

What is???????????????

Answers

Answer:

the product should be [tex]-10 \frac{5}{16}[/tex]

Step-by-step explanation:

just multiply 2, and 1/16 by -5.

1/4 • (-12) help please

Answers

Answer:

-3 is the answer to this question.

Answer: Your answer is -3

Step-by-step explanation:

1/4 x -12/1

-12 is  whole number so when multiplying just put it over 1 to make it a fraction.

then you get -12/4 and this is simplified to -3. Make sure you make it negative since the 12 is negative! Hope this helps! I love fractions so let me know if you need more help!  :)

In how many ways can 10 horses be arranged in a merry-go-round?​

Answers

Answer:

120 possible combinations

Step-by-step explanation:

sets:

{1,2,3} {1,2,4} {1,2,5} {1,2,6} {1,2,7} {1,2,8} {1,2,9} {1,2,10} {1,3,4} {1,3,5} {1,3,6} {1,3,7} {1,3,8} {1,3,9} {1,3,10} {1,4,5} {1,4,6} {1,4,7} {1,4,8} {1,4,9} {1,4,10} {1,5,6} {1,5,7} {1,5,8} {1,5,9} {1,5,10} {1,6,7} {1,6,8} {1,6,9} {1,6,10} {1,7,8} {1,7,9} {1,7,10} {1,8,9} {1,8,10} {1,9,10} {2,3,4} {2,3,5} {2,3,6} {2,3,7} {2,3,8} {2,3,9} {2,3,10} {2,4,5} {2,4,6} {2,4,7} {2,4,8} {2,4,9} {2,4,10} {2,5,6} {2,5,7} {2,5,8} {2,5,9} {2,5,10} {2,6,7} {2,6,8} {2,6,9} {2,6,10} {2,7,8} {2,7,9} {2,7,10} {2,8,9} {2,8,10} {2,9,10} {3,4,5} {3,4,6} {3,4,7} {3,4,8} {3,4,9} {3,4,10} {3,5,6} {3,5,7} {3,5,8} {3,5,9} {3,5,10} {3,6,7} {3,6,8} {3,6,9} {3,6,10} {3,7,8} {3,7,9} {3,7,10} {3,8,9} {3,8,10} {3,9,10} {4,5,6} {4,5,7} {4,5,8} {4,5,9} {4,5,10} {4,6,7} {4,6,8} {4,6,9} {4,6,10} {4,7,8} {4,7,9} {4,7,10} {4,8,9} {4,8,10} {4,9,10} {5,6,7} {5,6,8} {5,6,9} {5,6,10} {5,7,8} {5,7,9} {5,7,10} {5,8,9} {5,8,10} {5,9,10} {6,7,8} {6,7,9} {6,7,10} {6,8,9} {6,8,10} {6,9,10} {7,8,9} {7,8,10} {7,9,10} {8,9,10}

Which measurement is most accurate to describe the weight of an adult?

1.5 tons
50 lb.
160 oz.
180 lb.

Answers

Answer:

180 lb for an adult

Answer:

180 lb.

Step-by-step explanation:

This is due to the fact that 1.5 tons is literally 3,000 pounds and someone would have to be morbidly obese to weigh that much, 50 lbs. is underweight for an adult, 160 oz is 10 lbs which is even more underweight, which leaves 180 lbs as the last resort as well as the one that makes the most sense.

Brainliest please

9 years 11 months =
_months?

Answers

Answer:

108

Step-by-step explanation:

Answer:

119 months

OkIe DoKiE

Find the area of the figure ​

Answers

Answer:

174.14 im not sure tho

Step-by-step explanation:

How will the graph of
f(x)=7(.5x)
be different from
g(x)=7(.5x)−4

Answers

Answer:

g(x) is shifted down 4 units

Step-by-step explanation:

PLEASE HELP ME THANKS IF u do

Answers

Answer:

The third one

Step-by-step explanation:

It can't be the first one since the peak is 4 since it is the highest

It can't be the second one because the data is all different

It could be the third one since their are gaps

And It can't be the fourth one because the range is 7

So it must be the third one

I what is the area of this rectangle

Answers

11 * 17 = 187

187 is your answer

Answer:

187in Squared

Step-by-step explanation:

A central angle of a circle measures π/3 radians.The length of the minor arc intercepted by this central angle is 7 inches. Find the length of the radius of the circle.

Answers

9514 1404 393

Answer:

  6.68 in

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ . . . . θ in radians

Then the radius is ...

  r = s/θ

  r = (7 in)/(π/3) = 21/π in ≈ 6.6845 in

The radius of the circle is about 6.68 inches.

Answer:

Solution :-

Angle of circle = π/3 r

Length of minor arc = 7 in

Now

We know that

Radius = Length/Angle

Radius = 7/(π/3)

Radius = 7/π × 3

Radius = 21/π

[tex] \\ [/tex]

What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?

cm

Answers

Answer:

Step-by-step explanation:

What is the residual of a customer with a height of 155 cm who rents a bike with a 51 cm frame?

cm

Answer:

Step-by-step explanation:

-1

Helpppp meeee plzzzzz

Answers

Answer:

No

Step-by-step explanation:

As the hypotenuse is not equal to base and perpendicular.

Find the length of the missing side of the triangle

Answers

Answer:

65ft

Step-by-step explanation:

Pythagoreom therom

PLEASE HELP THANK YOU

Answers

Answer:

thanks you too for having us

can anyone help with this??

Answers

Answer:

y=x+6

Step-by-step explanation:

the co-ordinate points are (-2,4)and (4,10) so y2-y1

                                                                           x2-x1    

10-4 =6

4-2    =6   which will be 1 as the gradient so you will form an equation

y-10 =1 cross multiply the values with one so the answer will be y-10=x-4

x-4  

take -10 to the other side it will be y=x-4+10 hence y= x+6

                                           

。゚゚・。・゚゚。
゚。Pain is temporary, swag is forever
゚・。・ <3

Answers

very very tru thank u for the inspiring quote

Kim has $260 in her checking account. She deposits $39. Then she writes a check for $58. How much is left in Kim's account?

Answers

Answer:

241

Step-by-step explanation:

260+39-58=241

What's 1 plus 0
[tex]1 + 1[/tex]

Answers

Answer:

0

Step-by-step explanation:

this is the correct answer you want please follow me ol

1 lol um im pretty sure

How to do this work

Answers

Answer:

26x+32

Step-by-step explanation:

2(3x+5+10x+11)

6x+10+20x+22

26x+32

Answer:

if yiu want to expand it is solved as the following :

V: 2(13 x +15 )

=26x +30

Step-by-step explanation:

if you want to solve 26x + 30=0

26x =30

x =30÷26=1.15

30 points please I really need help

Answers

Answer :

$38 + $2(n) where n is the no. of cars.

Step-by-step explanation:

He earns $38 daily which is fixed and additional $2 wage depends on the no. of cars which means no. of cars will determine how many $2's he earns.

25 cars = $38 + $2 (25) = $88

30 cars = $38 + $2 (30) = $98

35 cars = $38 + $2 (35) = $108

40 cars = $38 + $2 (40) = $118

is 30x176 is three times larger than 10x176

Answers

Answer:

yes

Step-by-step explanation:

Write 9^3 as an equivalent expression using repeated multiplication.

Answers

Answer:

9x9x9

Step-by-step explanation:

9x9x9 hope this helps!!!

Two sides of a triangle have lengths of 120 cm and 95 cm.
Which could NOT be the length of the third side?
A. 25 cm
B. 70 cm
C. 95 cm
D. 210 cm
IM GIVING BRAINLIEST

Answers

Answer: the answer is D = 210cm

HELP ASAP!!!!! SOMEONE HELP ME?!?!

Answers

Answer:

The first step when factoring any polynomial is to factor out the GCF. The GCF is the greatest common factor for all the terms of the polynomial. By factoring out the GCF first, the coefficients and constant term of the polynomial will be reduced.

it's all on the picture ​

Answers

13+x=50
-13 -13
—————-
X= 37

Maya brought some orange slices for her volleyball team to eat between games. They
divided the orange slices equally among the 8 team members, so each team member got
6 orange slices. Lets be the number of orange slices Maya brought. Write and solve an
equation to find s.

Answers

Answer:

48

Step-by-step explanation:

6 times 8=48

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