The numbers 20 through 30 are written on cards and placed in a box. Explain whether the events of choosing a number that is a multiple of 3 or choosing a number that is a multiple of 4 are mutually exclusive.

A. Mutually Exclusive
B. Not Mutually Exclusive

Answers

Answer 1

Answer:

A. Mutually Exclusive is the correct answer

Answer 2

The events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.

What is Mutually Exclusive ?

Mutually Exclusive means when two sets have no common elements.

What is Not Mutually Exclusive ?

Not Mutually Exclusive means when two sets share common elements.

We have,

Cards numbered [tex]20[/tex] to [tex]30[/tex].

Let's

Set [tex]A =[/tex] Multiple of [tex]3[/tex]

i.e. Set [tex]A = \ \{ 21, 24,27,30\}[/tex]  

Set [tex]B =[/tex] Multiple of [tex]4[/tex]

i.e. Set [tex]B = \{20,24,28\}[/tex]

So, Set [tex]A[/tex] and Set [tex]B[/tex] have common element [tex]24[/tex], so we call them Not Mutually Exclusive, from the mentioned definition we find out this.

Hence, we can say that the events of choosing a number that is a multiple of [tex]3[/tex] or choosing a number that is a multiple of [tex]4[/tex] are not mutually exclusive.

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Related Questions

A hunter shot 7 ducks. The hunter's dog recovered 5/7 of the ducks. How many ducks were recovered

Answers

Answer:

I think it would be 5/7

Explanation:

The question states "The hunter's dog recovered 5/7 of the ducks.", so I am guessing it would be 5/7

Hope this helps :)

Answer:

5 Ducks

Step-by-step explanation:

It is given that there were 7 ducks and 7 of those were shot in total. 7/7

It is also given that the dog retrieved 5/7 of them.

So, 7/7-5/7=2/7

2 ducks were not recovered, and 5 were

Hope I helped

If b=79° and c=83°
Work out angle a and d.

(15points)

Answers

Answer:

????????????????????

Answer:

A = 101 degrees         d = 97 degrees

Step-by-step explanation:

180 - 79 = 101    as angles in a straight line = 180

101 + 79 + 83 = 263

360 - 263 = 97 degrees

Iced tea and lemonade sell for different prices per gallon at Chicken-Fill-Up. Two gallons of iced tea and 3 gallons of lemonade cost a total of $23.25. Five gallons of iced tea and 4 gallons of lemonade cost a total of $41.50. What is the price per gallon for each drink at Chicken-Fill-Up?

Answers

Answer:

the price per gallon for each drink is $4.5 and $4.75 respectively

Step-by-step explanation:

The computation of the price per gallon for each drink is as follows;

Let us assume the ice tea be x

And, lemonade be y

So the equations are

2x +  3y = $23.25 .......(i)

5x + 4y = $41.50     ................(ii)

Now multiplied by 5 and 2 in equation 1 and 2

10x + 15y = $116.25

10x + 8y = $83

7y = 33.25

y = $4.75

Now put the y value in any of the equation

2x + 3($4.75) = $23.25

x = $4.5

So, the price per gallon for each drink is $4.5 and $4.75 respectively

If a beetle crawls at a constant rate of 3 feet per minute, how long, in minutes, will it take the beetle to travel 75 feet?
A. 25 min.
B. 72 min.
C.78 min.
D. 225 min.

Answers

A. 25 min,

3/1=75/x
x=25

Answer:

A. 25 minutes

Step-by-step explanation:

3ft/min = 75ft/?min

75ft ÷ 3ft = 25min

it will take the beetle 25 minutes to travel 75 feet.

Please help! I don't get it cause the person that was teaching it had horrible handwriting ;-;

Answers

Answer: power of a power

Step-by-step explanation:

in the expression (x^4)^9, 4 and 9 are powers. 9 is the power of x^4, so you have to multiply 4 by 9 to get x^36. this means it's a power of a power

Can somebody help me with these 3. Will mark brainliest.

Answers

Not 100% but 1) 3 2) true 3) false

I don’t get 9.) so if anyone can’t skip it I need help with 10.) too

Answers

Answer:

ok number 9.) i believe its 7 if im wrong im so sorry

Step-by-step explanation:

Answer:

I will help with 10 i don't get 9 sorry so the answer is (a) F(5,4)

Step-by-step explanation:

So you have the midpoint and you put f(x, y) and D(-3,-8)

So

E=(x-3/2, y-8/2) =(1,-2) so

X-3/2 =1 , x-3=2 so x = 5

And y-8/2 = - 2. , so y-8 = - 4. , so y =4

So F =(5, 4)

Aidan will roll a fair 10-sided number die showing the numbers 1 – 10.

If Aidan rolls the number die exactly 300 times, which statement is the best
prediction about the outcome?

A. Aiden should expect a multiple of 3 to be rolled 100 times.
B. Aiden should expect a 2 to be rolled 60 times.
C. Aidan should expect a multiple of 2 to be rolled 150 times.
D. Aiden should expect a 4 to be rolled 75 times.

Answers

Answer:

Aiden should expect a multiple of 2 to be rolled 150 times.

Step-by-step explanation:

300 can be divided evenly 2 times.

please help meeee im doing an iready lol

Answers

Answer:

the answer is 252

Step-by-step explanation:

7 x 8 x 9

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

     2

What is the equation of the line that passes through the point (-2, 1) and has a
slope of 3/2?

Answers

Answer:

y=3/2+4

Step-by-step explanation:

6(7 + x) + 5x
???? Help me

Answers

Answer:

11x+42

Steps:

42+6x+5x

42+11x

Can someone help me please

Answers

Answer:

I think the answer is B

I had that but got two out of order so that’s the best option for me

Answer:

D.

2/3 in percentage form is 66.6666667%

0.23=23%

25%

5/8=62.5%

60%

then you would have to put them in order.

Hope this helps!!

what is the y-intercept for f(x)=x2-8x+15

Answers

Answer:

(0, 15)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function NotationThe y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

Step 1: Define

f(x) = x² - 8x + 15

Step 2: Find y-intercept

Substitute x = 0:                    f(0) = 0² - 8(0) + 15Exponents:                             f(0) = 0 - 8(0) + 15Multiply:                                 f(0) = 0 + 15Add:                                       f(0) = 15Rewrite:                                 (0, 15)

 I WILL GIVE BRAINLIEST AND POINTS HELP PLEASE

Answers

Answer:

a) [tex]( -[/tex]∞[tex], -\frac{4}{3}[/tex][tex])[/tex] ∪ [tex](-\frac{4}{3}[/tex] , ∞[tex])[/tex]

b) [tex][-\frac{5}{2} ,[/tex] ∞)

Step-by-step explanation:

The domain of a function is known as the input. We need to find whatever set of numbers can be plugged into every x of a function so that the result is a real number.

a) This problem is a fraction alone, so we need to find out what input of x will make the denominator zero - that will be the number we "skip" when writing out the domain. This is because if the denominator were zero, then it would be 1 divided by 0, which would be undefined and therefore not a real number.

To find this number, we can just take the denominator and solve for x:

[tex]3x + 4 = 0[/tex]

[tex]3x = -4\\x = -\frac{4}{3}[/tex]

Therefore [tex](-[/tex]∞, [tex]-\frac{4}{3}[/tex]) ∪ [tex](-\frac{4}{3},[/tex] ∞[tex])[/tex] is our answer.

b) This problem is just a square root alone, so we need to find out what input of x will make the number inside the square root negative - that number, and the numbers less than it, will be the numbers that we "skip." This is because if the number inside the square root was negative, then it would produce an imaginary answer and not a real one.

A simple trick to find the domain would be to set the terms inside the square root greater than or equal to 0 then solve for x:

[tex]2x + 5\geq 0 \\2x \geq -5\\\\x \geq \frac{-5}{2}[/tex]

Thus, the domain would be any number greater than or equal to [tex]-\frac{5}{2}[/tex], which in interval notation would be written [tex][-\frac{5}{2} ,[/tex] ∞).

What are the coordinates of B' after the translation? (1, 6) (–3, 6) (0, 0) (3, 1)
will mark brainlyest

Answers

The answer is (3,1) thanks for the points bud

Answer:

B (-3, 6)

Step-by-step explanation: I did it on edge 2021

8. The direction of current in the Fleming's left hand rule is given by
A: thumb
B: middle finger
C: index finger
D: little finger

Answers

Answer:

B: middle finger

Step-by-step explanation:

Fleming's Left Hand Rule  states "that when you hold out your left hand with the forefinger, second finger and thumb mutuallly at the right angle to one another. If the forefinger represents the direction of the field and the second finger represents that of the current, then thumb gives the direction of the force"

The answer is B. middle finger

If two out of every 10 high school students are licensed drivers, about how many students would be expected to have drivers' licenses in a high school with 615 students?

Answers

Answer: 123 students

Step-by-step explanation:

2/10 is 20% so you'd take 615 x 0.20 which is 123.

help meh pls 【=◈︿◈=】 What division problem does this area model represent?


Enter your answer in the boxes.

÷ 75 = R

Answers

From the information, the correct value that expresses the division will be 300 ÷ 75 = R

How to calculate the division?

From the information given, the thing to do is simply to use the number in the box to divide the number beside it and get the information.

This will be:

= 3000 ÷ 75 = 40

= 300 ÷ 75 = 4

Therefore, the expression is 300 ÷ 75 = R.

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Express the following relationship as a rate.
Reading 30 pages in 10 minutes
O 30 pages per hour
O 30 pages per minute
O3 pages per minute
O 10 pages per minute

Answers

Answer: 3 pages per minute

Explanation: Thirty pages divided by 10 minutes gives you 3 pages per minute.
3 pages per min because of there being 30 pages and only 10 mins

1st min you should read pages 1,23

2nd min 4,5,6

so on and so on.

Write an equation and solve. Round to the nearest hundredth where necessary.

What is 25% of 96?


A.) n • 0.25 = 96; 384

B.) n = 0.25 • 96; 24

C.) n = 25 • 0.96; 24

D.) n = 25 • 96; 2400

Answers

Answer:

see explanation

Step-by-step explanation:

I think its c n=25. 0.96; 24

girls:3
boys:2
If there are 50 students in the chorus, how many are girls and how many are boys? How do you know?

Answers

Answer:

30 are girls, and 20 are boys because every 3 out of five students are girls, and every 2 out of 5 students are boys.

Answer:

Step-by-step explanation:

30 girls, 20 boys. So easy!!!

10x^2 y –5xy^2–2x^2 y +x^2y –3xy^2

Answers

Answer:

[tex]9x^{2}y - 8xy^{2}[/tex]

Step-by-step explanation:

[tex]10x^{2}y - 5xy^{2} - 2x^{2}y + x^{2}y - 3xy^{2} =[/tex] --> Equation

[tex](10x^{2}y - 2x^{2}y + x^{2}y) + (- 5xy^{2} - 3xy^{2}) =[/tex] --> Combine Like Terms

[tex]9x^{2}y - 8xy^{2}[/tex] --> Simplify

Hope this helped! <3

One-third of Olivia age , increased by 12 , is equal to twice her age , decrease by 3. How old is Olivia

Answers

Answer:

she would be 9

Step-by-step explanation:

Answer:9

Step-by-step explanation:

I really need help for this geometry question, I would appreciate any help thank you.

Answers

Answer:

hypotenuse = 4.24

Step-by-step explanation:

sin θ = opposite / hypotenuse

sin 45 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

0.707 = 3[tex]\sqrt{2}[/tex]/ hypotenuse

hypotenuse = 4.24

write an equivalent expression for 8x + 9

Answers

Answer:

8+8+8+8+8+8+8+8+8.

Step-by-step explanation:

Just add 8 nine times.

Answer:

9 + 8x

Step-by-step explanation:

it's the same but backwards

it's called a Palindrome

Hope this helped a little!

Solving Multi-Step Equations Maze
Drag the appropriate arrow to
show your path as you go
from the start to the finisch
DOWN START ve cochojuan for Xbo v pollo heard
START
(2x + 1) - 36
5(x ) - 100
2.75
Jul
10
Jul
3(2x + 4) 19
182x-X-7
18-15-3(6x + 5)
15
Til hay
II
58 7x25 - 4
X-9.6x22.5
15
-6,3
THE
END

Answers

Hmmm ik it’s called the hot dog method

A. I and II ONLY
B. II and III ONLY
C. I and III ONLY
D. I , II and III

Answers

The statement supported the graph is

The axis of symmetry is x = 3

The coordinates of the y-intercept are (0,7)

What is axis of symmetry?

A line that divides an object into two equal halves and produces a mirror-like reflection of each side of the object is known as an axis of symmetry.

1. The axis of symmetry is x = 3

The axis of symmetry is the central axis of the graph, which signifies the middle point of the graph. It is evident that this graph is centered on x = 3.

2. The coordinates of the y-intercept are (0,7)

The y intercept is the point where the graph meets the y-axis, that is, the value of y on the graph when x=0.

From the graph, the coordinates of the y-intercept is (0, 7)

3. The X-intercept is located at (-3,0)

The x intercept is the point where the graph meets the x-axis, that is, the value of x on the graph when y=0.

From the graph the curve x axis at x= 1.5 and x= 4.5

So, the x-intercept is truly located at (1.5, 0) and (4.5,0)

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which number line model of the sum of 8 + -12 correctly ​

Answers

Answer:

U did not add a picture but if u do I will help.

Step-by-step explanation:

It should be 8 to the right and 12 to the left which should end at -4

Answer:

The answer is 4?? tell me if it's wrong or not.

help
help
help
help
help
help
help

Answers

Answer:

it's answer c and why so many helps



Last year, there were k ples baked for the bake sale. This year, there were 216pies baked. Using k, write an expression for the total number of pies baked in
the two years.

Answers

Answer:

216 + k = total pies

Step-by-step explanation:

216 pies this year + k pies last year = total pies

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