Which of the following pairs of events are disjoint (mutually exclusive)?
a) A: odd numbers; B: the number 5

b) A: even numbers; B: numbers greater than 10
c)A: numbers less than 5; B: all negative numbers
d)A: numbers above 100; B: numbers less than -200​

Answers

Answer 1

Answer:

d

Step-by-step explanation:

d because there are no numbers common to  both sets

Answer 2

Disjoint sets are those sets that have no common values between the sets.

A: numbers above 100; B: numbers less than -200​ is a disjoint set.

Option D is the correct answer.

What is a set?

A set is a collection of items where there are operations such as:

Union of sets, the intersection of sets, complements of sets.

We have,

Disjoint sets are those sets that have no common values between the sets.

a) A: odd numbers; B: the number 5

Set A = {1, 3, 5, 7, 9,.....}

Set B = {5}

A ∩ B = {5}

This is not a disjoint set.

b) A: even numbers; B: numbers greater than 10

A =  {2, 4, 6, 8, 10, , , }

B = {11, 12, 13, 14, 15, 16, 18,,,,,}

A ∩ B = {12, 14, 16, 18,,,}

This is not a disjoint set.

c) A: numbers less than 5; B: all negative numbers

A = {, , ,, -3, -2, -1, 0, 1, 2, 3, 4}

B = {, , , , -3, -2, -1}

A ∩ B = { , , , , -3, -2, -1}

This is not a disjoint set.

d) A: numbers above 100; B: numbers less than -200​

A = {101, 102, 103, 104, ,,,,,,}

B = {, , , , -204, -203, -202, -201}

A ∩ B = Ф

There are no common values between set A and set B.

This is a disjoint set.

Thus,

A: numbers above 100; B: numbers less than -200​ is a disjoint set.

Option D is the correct answer.

Learn more about sets here:

https://brainly.com/question/8053622

#SPJ2


Related Questions

(this is all the points I'm able to give) Find the surface area of the composite figure.
SA = [ ? ] cm^2

Answers

Answer:

{x}^{2}+5x+6

x  

2

+5x+6

Step-by-step explanation:

A shot put throwing area is composed of a throwing circle and a sector of a larger concentric circle. The standard measurements for the diameter of the throwing circle, the radius of the sector, and the central angle of the sector are shown in the diagram below. What is the area of the composite figure? Use a problem-solving model. No answer provided . 193.69 b. 190.36 C 3.58 d. 181.21

Answers

Answer:

193.69

Step-by-step explanation:

In the coordinate plane, point C lies on segment AB. If the ratio of the length of segment AC to the length of segment CB is 3:1, find the x-coordinate of C given the coordinates of A(3, 12) and B (14, 17).


Question 14 options:


A. 11.25



B. 6



C. 5.75



D. 12

Answers

Answer:

A. 11.25

Step-by-step explanation:

If point C(x, y) divides line segment AB with end points at A([tex]x_1,y_1[/tex]) and B([tex]x_2,y_2\\[/tex]) in the ratio on n:m, then the coordinates of point C is:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1 \\\\y=\frac{n}{n+m}(y_2-y_1)+y_1[/tex]

Given that segment AB is divided by point C in the ratio of 3:1. Given A(3, 12) and B (14, 17). Let coordinate of C be (x, y), hence:

[tex]x=\frac{n}{n+m}(x_2-x_1)+x_1\\\\x=\frac{3}{3+1}(14-3)+3=\frac{3}{4}(11)+3=11.25 \\\\\\y=\frac{n}{n+m}(y_2-y_1)+y_1\\\\y=\frac{3}{3+1}(17-12)+12=\frac{3}{4}(5)+12=15.75[/tex]

Therefore, the coordinate of point C = (11.25, 15.75)

The x coordinate of point C is 11.25

Explain how to add 5.3 + 9.079​

Answers

Answer:

14.379

Step-by-step explanation:

1. Line up from left to right

2. Make sure that the decimals are lined up

3. Add the thousandths and hundredths with 0

4. Add 3 in the tenths place

5. Add up 9 and 5 to make 14

*IF YOU DID THE STEPS RIGHT, THEN YOU SHOULD HAVE 14.379 AS YOUR ANSWER*

Answer:

9.079

+5.300

_______

14.379

Step-by-step explanation:

Just line the decimals up and add zeros for 5.3 to 5.300 because you can't do 9.079

   +5.3   because your decimal will be in the wrong spot and your answer will come out wrong

   

hii please help i’ll give brainliest

Answers

1.1 families

2.6

3.3

Step-by-step explanation:

i believe that the answer, am sorry if am wrong

Answer:

1.) 4

2.) 1 + 2 + 3 + 4 + 5 + 6 = 21 families

3.) 4 + 5 + 6 = 15 families

Hope this helps!

ON CYLINDERS PLEASE HELP DUE IN 15 MIN

Answers

Answer:

4.13

Step-by-step explanation:

good luck

Help plz. If u know the answer also show work for how you got it plz. Thanks!

Answers

The answer is 37. You use Pythagorean theorem so you get 5 squared + b squared= 13 squared. You’d get 25+ b squared= 169. You subtract 25 from 169 and you get b squared equals 144. You square root both the b and 144 and You would get 12 for that side. Then you do Pythagorean theorem again. You do 12 squared+ 35 squared= c squared. This would turn into 144+1,225= c squared this simplifies to 1,369= c squared. You square root both sides and you get your final answer 37

Please help me quick please solve in inequality form

Answers

Answer:

D

Step-by-step explanation:

|x+7|>3

help me pleaseeee

Answers

Answer:

x>-4

Step-by-step explanation:

|x+7| is just x+7

x+7>3

-7 on both sides

x>-4

Tan C=
Help help help

Answers

Answer:

I believe the ans is (B) 40/9

Answer:

The answer is B. 40/9.

Step-by-step explanation:

We know, tan= opposite/adjacent

so, tan C = 40/9

Helpmeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

B)

Step-by-step explanation:

distances:

AB = 6

BC = √4+25 = √29

CD = √0+144 = 12

AD = √5²+4² = √41

Someone plz help me giving brainliest

Answers

Answer:

I think 129 miles.... ..........

Answer:

129 miles

Step-by-step explanation:

Hi, I need help pretty please! (This time with 5 screenshots)

Answers

Hey I’m Pretty sure the question 5 is 36n*2

Find the sum of the first 10 terms for the following sequence: a = {-1, 2, 5, ... }

Answers

Answer:

see, to find the next number, you need to add three to the last one

for example, the 3 was added to 2, so we have five here

5+3=8

8+3=11

and ....

so the next ten numbers are:

8, 11, 14, 17,20,23,26,29,32,35

I'm sorry, my mother tongue isn't English so please accept my apology if I haven't been able to explain it clearly, it's a pretty easy math problem so I think you got it

Answer:

it's +3 each time

Step-by-step explanation:

the formula for the nth term of an arithmetic progression is

[tex]a _{n} = d \times n + a _{1} - d[/tex]

Using the tax schedule below, which equation would you use to calculate the tax for a couple with taxable income of $188,500?
Taxable Income.
If line 10 is-
At least $100,000 but not over $165,000
Over $165,000 but not over $315,000
Over $315,000 but not over $400,000
Over $400,000 but not over $600,000
Over $600,000
(a)
Enter the amount
from line 10
$
$
$
$
s
(6)
(c)
Multiplication
Multiply
amount (a) by )
x 22% (0.22) S
x 24% (0.24) S
X 32% 0.32) $
x 35% (0.35) s
x 37% (0.37) IS
(d)
Subtraction amount
$ 8,121.00
$11,421.00
$36,621.00
$48.621.00
$60,621.00
Tax.
Subtract (d) from (c)
Enter the result here
and on the entry
space on line 112
$
S
$
$
$

Answers

Answer: I think it is B

Step-by-step explanation:

A soccer player kicks a ball towards the goal. The height of the ball follows a path modeled by the function ℎ()=−162+112. How long does it take the ball to hit the ground?

Answers

If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then it's height above the earth in feet is given by s(t)=-16t^2+32T where t

4x²=9/16 Solve the equation and show your work.​

Answers

4*x^2 = 9/16 // - 9/16

4*x^2-(9/16) = 0

4*x^2-9/16 = 0

4*x^2 = 9/16 // : 4

x^2 = 9/64

x^2 = 9/64 // ^ 1/2

abs(x) = 3/8

x = 3/8 or x = -3/8

The basketball game lasted 1 hour and 40 minutes. If the game started at 7:30 p.m., what time did it end?

(Answer:_:__)​

Answers

Answer:

9:10pm

Step-by-step explanation:

the game ended at 9:10pm

Answer:

21:10 (24-hour clock) or 9:10 ( 12-hour clock)

Step-by-step explanation:

Two ways it can be solved:

Starting time: 7:30

Game lasted- 1 hour and 40 minutes

Ending time-?

7:30 is converted to 24 hrs timing clock:

hr  I min

   7   :  30 pm

+ 12  :  00

___________

=  19  :  30

Then, hr  I min

        19  :   30

    +   1    :   40

______________

=       20  :   70

    +    1   : - 60

______________

=       21   :  10

So it ended at 21:10 (24-hour clock) or 9:10 ( 12-hour clock).

or you can just add up :

  hr  I min

   7  : 30pm

+ 1   :  40

________

=  8 :  70

 + 1  : - 60

_________

=  9  : 10 pm

how can I do this ???​

Answers

Answer:

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

Step-by-step explanation:

A triangle is formed by either knowing the lengths of its three sides or knowing two angles and the length of a side or knowing a angle and the lengths of two sides. By Geometry, we know that sum of internal angles in triangles equals 180°. In order to construct this triangle, we need to know the measures of angles E, F and G by means of the Law of Cosine:

Angle E

[tex]E = \cos^{-1}\left[\frac{(7\,cm)^{2}-(12\,cm)^{2}-(8\,cm)^{2}}{-2\cdot (12\,cm)\cdot (8\,cm)} \right][/tex]

[tex]E \approx 34.093^{\circ}[/tex]

Angle F

[tex]F = \cos^{-1}\left[\frac{(12\,cm)^{2} - (8\,cm)^{2} - (7\,cm)^{2}}{-2\cdot (8\,cm)\cdot (7\,cm)} \right][/tex]

[tex]F \approx 106.068^{\circ}[/tex]

Angle G

[tex]G = \cos^{-1}\left[\frac{(8\,cm)^{2}-(12\,cm)^{2}-(7\,cm)^{2}}{-2\cdot (12\,cm)\cdot (7\,cm)} \right][/tex]

[tex]G \approx 39.838^{\circ}[/tex]

The triangle EFG can be constructed with the following specifications: [tex]EF = 8\,cm[/tex], [tex]FG = 7\,cm[/tex], [tex]EG = 12\,cm[/tex], [tex]E \approx 34.093^{\circ}[/tex], [tex]F \approx 106.068^{\circ}[/tex], [tex]G \approx 39.838^{\circ}[/tex].

What is the answer to this question?

Answers

See the picture below

Answer:

10

Step-by-step explanation:

70-30=40

50-40=10

fsgsgsgdg

please help as soon as possible

Answers

18. 23 units

19. x = 1

If A is the reference angle, which side is the opposite?
AB
BC
AC
Explain your thinking.


Answers

Answer:

BC

Step-by-step explanation:

it would be BC because you are basically taking the angle and drawing an arrow to the opposite side. another trick would be choosing an answer choice without the letter in it. also you didn't put what shape so I assumed it was a triangle

PLZ HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!

Answers

The closest answer I can see you type is: 35/1.66666666

This is because you divide 21 by 18 which (if you divide 21 by 1.666666 you get 18) and whatever you do to 1 side, you do to the other, then you get 35/1.6666666

Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:

Answers

Answer:

a = 21%

b = 260%

c = 25%

Step-by-step explanation:

I just answered that question

Carla is solving a math problem. Which answer shows the equation and solution
to x times 3 plus 4 equals 16? *
3x + 16 = 4; x = -4
3x + 4 = 16; x = 4
3x = 4 + 16; x = 2/3
3(x + 4) = 16; x = 4/3

Answers

Last one 3(x+4) x=4/3

what is the value of x in 40,000 = 10x g?

Answers

Answer:

x=4000

Step-by-step explanation:

Answer:

4,000 = x

Step-by-step explanation:

40,000 = 10x

=> Divide 10 to each side of "="

40,000/10 = x

4,000 = x

Hope this helps!

What is 9 - 10 as a decimal number

Answers

If you meant, 9/10 then that equals 0.9, because 9/10 is “nine tenths” which is the same way you would say 0.9.

Someone please help will mark as brainliest

Answers

The answer is D lolllll

Answer: the answer is C.

Can someone help me with this?

Answers

Answer:

Option 4

Step-by-step explanation:

The circle is filled so it must be either :less then or equal to: or :greater then or equal to: and since it is going to the left that means it is on the less then or equal to.

Answer:

option 4

Step-by-step explanation:

the circle is filled so it can be equal

it shows n is everything lower then -1 so

n<=-1

Someone plz help me I suck at doing that

Answers

Answer:

D - 4.6

Step-by-step explanation:

Hope it Helps!

:)

and sorry for the late answer

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