Use a Venn diagram to answer.
If n(A) = 8, n(B) = 9 and n(An B) = 6, what is n(AUB)?

Answers

Answer 1

Answer:

[tex]n(A \cup B) = 6[/tex]

Step-by-step explanation:

In Venn sets, we have that:

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]

In which n is the number of elements that each set contains.

In this question:

[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]

So

[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]

So

[tex]n(A \cup B) = 6[/tex]


Related Questions

Which of the following is closest to the mean absolute deviation of this
data set: 2.1, 3.5, 4.6, 5.8, 3.9, 4.2, 2.8?

A. 0.89
B. 1.6
C. 3.84
D. 3.9

Answers

Answer:

0.89

Step-by-step explanation:

Trust

Dennis Hampton earns a straight com-
mission of 7% on sales of $5,000 or less
and 9% on sales in excess of $5,000. One
week Dennis had a gross pay of $578.
What were his total sales for that week?

Answers

Answer:

Denis's total sales that week were $ 6,422.22.

Step-by-step explanation:

Since Dennis Hampton earns a straight commission of 7% on sales of $ 5,000 or less and 9% on sales in excess of $ 5,000, if one week Dennis had a gross pay of $ 578, to determine what were his total sales for that week the following calculations must be performed:

7 = 578

100 = X

100 x 578/7 = X

57,800 / 7 = X

8,257.14 = X

9 = 578

100 = X

100 x 578/9 = X

57.800 / 9 = X

6,422.22 = X

Therefore, Denis's total sales that week were $ 6,422.22.

1 Remy has 4 monster trucks, 3 firetrucks, 1 ambulance, and 2 taxis. He will randomly choose. what is the probability that Remy will choose a taxi
A 1/10
B 1/5
C 2/4
D 1/3

Answers

Answer:

B) 1/5

Step-by-step explanation:

Remy has 2 taxis, and 10 cars in all. It is asking for the probability that Remy will choose a taxi. Divide the amount of taxis from the total amount of cars. Simplify the fraction:

2/10 = (2/10)/(2/2) = 1/5

B) 1/5 is your answer.

~

Answer:

Mmmmm maybe is A 1/10 por que se suman todas las posibilidades y luego se le coloca la cantidad que podria elegir

No bots. No bots. No bots Please, someone please answer this, and No bots!!

Answers


t/5 = 2.9
For the first step, I would multiply both sides by 5, to get rid of the fraction.

That will leave
t = 14.5

So with what you have on your screen, I would drag “x” and “5” to both sides of the equation.

help please i need it asap

Answers

Answer:

x = 5

Step-by-step explanation:

[tex]\frac{4.5}{7.5}[/tex] = [tex]\frac{3}{x}[/tex]

cross multiply

4.5x = 7.5(3)

4.5x = 22.5

divide

x = 5

What is the recursive rule for an=4n-3

Answers

Answer:

1

Step-by-step explanation:

n=1

4×1=4

4-3=1

Find the volume of the sphere! Plsssss

Answers

Answer:

The first is the right answer

Step-by-step explanation:

V = ( 4/3)*π*(R^3) = (4/3)*3.14*(8^3) =2143.6

I need the median the mode the range and the mean plz help the numbers are 13, 21, 14, 29,26, 14, 23.
Plz help

Answers

Answer:

Mean: 20

Median: 21

Mode: 14

Range: 16

Answer:

the median is 21. the mode is 14 and the range is 16

Step-by-step explanation:

Kam
Find the area of this
irregular figure.
-9 ft
[?] square feet
8 ft
15 ft
26 ft

Answers

Answer:

c

Step-by-step explanation:

im on plato just passed the test

Find an ordered pair (x,y) that is a solution to the equation.
5x+y=6

Answers

Answer:

(0,6) and (1.2 , 0)

Step-by-step explanation:

5x + y = 6

if we take x=0

5(0) + y = 6

y = 6            ; so, one of the solution is (0,6)

if we take y=0

5x + (0) = 6

5x = 6

x = 6/5 = 1.2     ; so, the other solution is (1.2 , 0)

But basically, you can find other solutions of the equation if you do this:

5x + y = 6

5x = (6 - y)

x = (6 - y) / 5    ; so if you use whatever number of y, you will find the rigth solution for x.

and you can do the opposite too:

5x + y = 6

y = 6 -5x       ; with this, you can use whatever number of x, and find the right y.

I hope this helps you!!!

8) Lisa and Jasmine are selling cheesecakes for a school fundraiser. Customers can buy pecan
cheesecakes and apple cheesecakes. Lisa sold 3 pecan cheesecakes and 7 apple cheesecakes for a
total of $130. Jasmine sold 12 pecan cheesecakes and 14 apple cheesecakes for a total of $338.
Find the cost each of one pecan cheesecake and one apple cheesecake.

Answers

9514 1404 393

Answer:

  both cost $13 each

Step-by-step explanation:

Let p and a represent the costs of pecan and apple cheesecakes, respectively.

  3p +7a = 130 . . . . . . Lisa's sale

  12p +14a = 338 . . . . Jasmine's sale

Both the ratios of p-coefficients (4) and a-coefficients (2) are "nice" numbers, so "elimination" is a viable solution method here.

Subtracting twice the first equation from the second eliminates 'a'.

  (12p +14a) -2(3p +7a) = (338) -2(130)

  6p = 78 . . . . . simplify

  p = 13 . . . . . . .divide by 6

Substituting into the first equation gives ...

  3(13) +7a = 130

  7a = 91 . . . . . . . subtract 39

  a = 13 . . . . . . . . divide by 7

The cost of one pecan cheesecake is $13; the cost of one apple cheesecake is $13.

__

A graphing calculator can solve the two equations nicely. Below is a graph of them, showing the solution is (p, a) = (13, 13). Graphing calculators and some scientific calculators can also solve these equations when they are written in matrix or augmented matrix form. It can be worthwhile to learn how to use these calculator features.

guys please i need help in this question, whoever gets it right will get a brainliest

Answers

Answer:

4/20 or 1/5 if you want it simplified

What is the answer no link I will report and banned you

Answers

25% is the correct answer!1,000 ÷ 4,000 = 0.250.25 = 25%

Please answer ASAP
Will give Brainleist

Answers

Answer:

51

Step-by-step explanation:

range = highest number - lowest number

54 - 3 = 51

What is the y-intercept of the graph of h(x) = 2^x - 4

Answers

Answer:

If I remember correctly isn't it -4

Step-by-step explanation:

I am pretty sure that's it

What is the radian measure of an angle of 75º?

Answers

The second answer is correct.

The first sequence follows the rule add 5. The second sequence follows the rule add 3. Both sequences start from 2. Select the option that correctly shows the first 5 terms for each sequence. Question 1 options: First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 5, 8, 11, 14 First sequence: 0, 5, 10, 15, 20 and second sequence: 0, 2, 4, 6, 8 First sequence: 2, 6, 10, 14, 18 and second sequence: 2, 5, 8, 11, 14 First sequence: 2, 7, 12, 17, 22 and second sequence: 2, 6, 10, 14, 18

Answers

Option 1 because they both need to start sequence from 2

Is 12.8 greater than 12.815?

Answers

Answer:

No,

12.8 = 12.800

Obviously, 12.800 < 12.815.

[tex] \infty \infty [/tex]

Answer:

[tex]12.8 < 12.815 \: \\ with \: a \:range \: of \: 0.015[/tex]

Plz help me well mark brainliest!

Answers

Answer:

9:59

Step-by-step explanation:

Answer:

C) 9:59

Step-by-step explanation:

Now 9:29

in 30 min 9:59

Find the Area of the figure below, composed of a rectangle with a semicircle removed
from it. Round to the nearest tenths place.

Answers

Answer:

69.9 sq units

Step-by-step explanation:

find area of entire rectangle then subtract out area of semi-circle

(14 x 6) - (3²π ÷ 2)

84 - 14.1 = 69.9

69.9

Step-by-step explanation:

in a population of grasshoppers, the ratio of grasshoppers with a white marking to those without a white marking is 2:3. An entomologist captures and photographs 290 grasshoppers. How many photographs are likely to show grasshoppers with a white marking?
A. 193
B. 58
C. 112
D. 116

Answers

Answer:

D. 116

Step-by-step explanation:

Let the grasshoppers with a white marking be 2x.

Let the grasshoppers without a white marking be 3x.

2x + 3x = 290

5x = 290

x = 290 / 5

x = 58

The grasshoppers with a white marking

= 2x

= 2 ( 58 )

= 116

Jose earns $24.30 per hour teaching swimming lessons.
2
How much will he earn in 7.5 hours?

Answers

yes i do you have a good day today

Answer:

$182.25

Step-by-step explanation:

You just times the per hour to the amount of hours. Hope this helps

Help me please. I need it rn​

Answers

Answer:

We have

selling price=Discount + sales price

discount=discount rate×selling price.

discount=discount /selling price ×100%

Sales price =selling price - discount

Mark of price=mark up price rate ×original price

Selling price:mark of price + original price

commission amount=commission rate ×total sales

simple interest=principal amount ×rate×time/100

Help me please!!!!! I need help with angles

Answers

Answer:

<CFE = 28

<RPQ = 53

Step-by-step explanation:

1)

<CFE + 152 = 180

<CFE = 180 - 152

<CFE = 28

2)

Complementary means the angles add up to 90 so:

<RPQ + 37 = 90

<RPQ = 90 - 37

<RPQ = 53

I need help DONT scam me with a link or I report

Answers

Answer:

9 blue

Step-by-step explanation:

It said 3 blue and 4 white

but Jade put 12 white and to get 12 from 4 you need to multiply 4 by 3

so you would also need to do the same for blue, 3 x 3 = 9

Answer:

how do you report sombody

Step-by-step explanation:

A rectangular prism has a length of 112feet, a width of 212feet, and aheight of 8 inches. What is the volume of the prism in cubic inches?
pls hurry :)

Answers

Answer:

27,353,088 cubic inches

Step-by-step explanation:

How to find the volume of a rectangular prism

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Solve

In this case, The volume of a rectangular prism with a length of 112feet,

width of 212 feet, and height of 8 inches:

But in this case, we need to convert both the length and width to inches.

If 1ft = 12in

Then, 112ft = 1344in  (Multiply 112 by 12)

Also, 212ft = 2544 (Multiply 212 by 12)

So, the volume = 1344 x 2544 x 8

Calculated out this gives a volume of 27,353,088 cubic inches.

if you actually know plz give an explanation to the answer so i know you aren't just answering for points, please help this is due before 12:00

Answers

Answer:

A.

Step-by-step explanation:

it is the only one that makes sense, because it deals with 8th graders, all others include gender which i do not think that matters.

server F, working 7 hours offers to join the group of five servers sharing their workload. If server F joins will the mean number of hours worked increase or decrease​

Answers

π I don’t really know the answer I’m really sorry

5x^{2}-44x+120=-30+11x i am confuseddddd

Answers

Answer: x=6  x=5

Step-by-step explanation:

Answer:

take hints and don't be confused on such question

HELP ASAP PLS NO LINKS
Which of the following values in the set below will make the equation 5x + 6 = 6 true? (Only input the number.)
{0, 1,2,3,4}
Numerical Answers Expected!
Answer for Blank 1:

Answers

Answer:

0

Step-by-step explanation:

0

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