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

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

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

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

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]

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 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:

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 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:

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

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%

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

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 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!!!

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

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

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

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

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.

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

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.

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.

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 recursive rule for an=4n-3

Answers

Answer:

1

Step-by-step explanation:

n=1

4×1=4

4-3=1

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

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:

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.

Other Questions
A city planner knows that the number of daily riders on the subway is expected to increase by 12% over the next year. If the current number of daily riders is represented by d, which expression does NOT represent the expected number of daily riders next year?A.d+0.12dB. 1.12d C. (1 + 0.12)dD.0.12d Why did President Andrew Jackson agree to a compromise during the nullification crisis? A. He hoped to encourage other countries to get rid of tariffs. B. He hoped to achieve peace and gain support from the Republican Party. C. He wanted to replace the Second Bank of the United States with a new bank. D. He wanted to find a solution that would satisfy both the South and the North. Problem 10-39 (LO. 2, 3, 4, 5, 6, 7) Linda, who files as a single taxpayer, had AGI of $280,000 for 2020. She incurred the following expenses and losses during the year: Medical expenses (before the 7.5%-of-AGI limitation) $33,000 State and local income taxes 4,800 State sales tax 1,300 Real estate taxes 6,000 Home mortgage interest 5,000 Automobile loan interest 750 Credit card interest 1,000 Charitable contributions 7,000 Casualty loss (before 10% limitation but after $100 floor; not in a Federally declared disaster area) 34,000 Unreimbursed employee business expenses 7,600 Calculate Linda's allowable itemized deductions for the year. $fill in the blank 1 . write an equation for the nth term of the arithmetic sequence. Then find a40.1/4,1/2,3/4,1,... Find the value of y.120 Based on the sources, which of the following conclusions can be drawn about the effect of transportation technologyduring the latter half of the 20th century?Use of private vehicles in Canada decreased as suburban areas became connected to cities by publictransportation, thereby increasing access to economic opportunities.O More people purchased private vehicles in Greece despite the prohibitive cost of maintenance, and this hadpositive effects on suburban economies.O Suburban sprawl in places like Sweden was mitigated by public transportation systems, and the use of privatevehicles grew very little.O The popularity and purchase of private vehicles supported the United States' suburban development andexpansion because it enabled more people to work. The first sequence rule is subtract 8 starting from 72. The second sequence rule is subtract 6 starting from 58. What is the first number that appears in both sequences?Question 2 options:16404652 What social support was available for Taylor in 16 and Pregnant? 1: Can The environment determines all physical features on plants?2: Can The environment can affect physical features on plants?No links!!! Find the sentence in which the bold-faced is used incorrectly. describe a chemical reaction . Which of the following is NOT source material Will Arbery used to write Quiet Fighter?Sun Tzus book, The Art of War.the sone lyrics of country music legend George Straitmaps of Vietnambooks on coyote behavior To answer the question below, browse the Recreation section in the CultureGrams.What is the "sga"? A dance a type of music a popular band a casino $9000.00 decreased by 0.5% make sure to show your work In the diagram, x is a negative number and y is a positive number. Select the expression that is a positive. Answer choices:x(y) x - yy/xy - x Please help me if you understand this! (USAtest prep)same question from earlier but i actually attached the image ;-; What are the coordinates of the vertex of the graph of the function y=-x^2+ 6x -11?A. (3.-2)B. (3.16)C. (-3, -29)D. (-3, -20) HELPPPPPPP MEEEEE WILL MARK BRAINLIESTTTTT How is the tips for enhancing relationship I need so much help with these could you help me?