Given that n(A) = 12, n(B) = 7
and n(AUB) = 10
Find n(AnB)
Pls show working

Answers

Answer 1

Answer:

n(A) + n(B) - n(AnB) = n(AUB)  

12 + 7 - n(AnB) = 10

19 - n(AnB) = 10

19 - 10 = n(AnB)

n(AnB) = 9

Step-by-step explanation:

Answer 2

Step-by-step explanation:

n(A)=12

n(B)=7

n(AUB)=10

n(AnB)=?

let,n(AnB) be x

We know that,

or, n(AUB) = n(A)+n(B)-n(AUB)

or, 10 =12+7+x

or, 10 =19+x

or, 10-19=x

or,9=x

so, the value of x is 9

then (AnB)=9


Related Questions

Please awnser this for brainliest

Answers

Answer:

she will pay 25% of the cost

Step-by-step explanation:

Well .35 is 35%

35+40 = 75

100-75 = 25

25%


What is
[tex] {5}^{7} [/tex]

Answers

35 because you multiply 5times 7

Answer:

78,125

Step-by-step explanation:

5 × 5 × 5 × 5 × 5 × 5 × 5 = 78125

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Have a good day :)

please help! answer and step by step explanation needed

Answers

Answer:

Step-by-step explanation:

Due to the equation [tex]y = mx+c[/tex],

y = y

mx = [tex]\frac{2}{5}x[/tex]

c = -7

Hence, from 'mx',

m = 2/5

Hence, the slope is 2/5

Feel free to mark it as brainliest :D

Answer:

slope is

[tex] \frac{2}{5} [/tex]

Step-by-step explanation:

from the linear equation we consider the Cof of x is slope Y = a x ± b a is slope and b is intercept - y then 2/5 is slope and -7 is intercept

To determine which window cleaner is most effective, Thad washes half of the windows in his house with one brand and the other half with a different brand. He then compares the results to draw a conclusion about which cleaner is most effective.

What kind of statistical study did Thad conduct?








A.

survey

B.

observational study

C.

theoretical study

D.

experiment

Answers

Answer:

the answer for the question is D,experiment

The kind of statistical study that Thad Conducted is called; Experiment

How to Identify Statistical Study?

We ae told that we want to determine the cleaner that has the best effectiveness.

Now, since he compares the result of washing with let's say brand A to the result of washing with maybe brand B, then we can say that it is called an experiment due to the fact that it involves the procedure used to determine the efficacy or likelihood of something.

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pls help i need help

Answers

Answer:

Put x's on the numbers on the line that are above the line

Step-by-step explanation:

I BELIVE IN YOU

it’s the box closets to the top

35 POINTS!!!!

Every morning, Jorge runs a circular path that has a radius of 42 ft. How far does Jorge run if he does one lap around the track? Round your answer to the nearest foot. Use π=3.14.

A. 264 ft
B. 66 ft
C. 5,539 ft
D. 132 ft

Answers

A) 264 ft would be how far he does one lap around the track

Write the fraction as a decimal and a percent. 13/9​

Answers

Answer:

Decimal form = 1.44

Fraction form = 144/100

Hope this helps!

percent: 144.44%

decimal: 1.4444444444444

I need help with this!!!!!

Answers

Answer:

48

Step-by-step explanation:

An equation with no solutions
3x + 7 = X + 3

Answers

Answer:

X = -2

Step-by-step explanation:

Hope this helps

a chord 30cm long is 20cm from the centre of a circle. Calculate the length of a chord which is 24cm from the centre. please show workings​

Answers

The length of a chord which is 24cm from the Centre is: 14 cm

How to find the length of the chord?

Applying the Pythagorean theorem to the two right angle triangles that will be formed gives the radius of the circle from the first condition as:

R = √[(30/2)² + 20²]

R = √(15² + 20²)

R = √625

R = 25 cm

The length L of the another chord is calculated as:

L/2 = √(R² - 24²)

L/2 = √(25² - 24²)

L/2 = √49

L/2 = 7

L = 14 cm

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PLEASE HELP ITS DUE SOON!!!!

Answers

Answer:

x=4

Step-by-step explanation:

4x+7=23

4x=23-7

4x=16

x=16÷4

x=4

Answer:

4

Step-by-step explanation:

4 x 4 + 7 = 23

ASAP
-WILL MARK BRIANIST

Answers

Answer:

25 + x = y

Step-by-step explanation:

Answer:

25+x=y

Step-by-step explanation:

25 plus the birthday cards(x)= total cards(y)

A bag contains 8 apples and 6 oranges. You randomly draw a piece of fruit from the bag, eat it, and than randomly draw another. What is the probability you draw and eat an apple than draw an orange?

Answers

Answer:

[tex]probability \ of\ choosing\ apple\ first = \frac{8}{14}\\\\probability\ of\ choosing\ orange\ second = \frac{6}{13}\\\\probability \ of \ choosing \ apple \ and \then \ orange = \frac{8}{14} \times\frac{6}{13} = \frac{24}{91}[/tex]

Returns on stock X are listed below: Period 1 2 3 4 5 6 7 Stock X 6% 5% -2% 10% 3% 8% -4% What is the mean of the data?

Answers

Answer:

The mean of the data is of 3.7143%.

Step-by-step explanation:

Mean of the data:

Sum of all returns divided by the number of returns.

Returns:

6% 5% -2% 10% 3% 8% -4%

7 returns.

Sum: 6 + 5 - 2 + 10 + 3 + 8 - 4 = 26%

Mean: 26%/7 = 3.7143%

The mean of the data is of 3.7143%.

Find the distance from point A(2,-1) to the line y=-x+4

Answers

9514 1404 393

Answer:

  (3/2)√2 ≈ 2.1213 units

Step-by-step explanation:

The distance d from point (x, y) to line ax+by+c = 0 is given by ...

  d = |ax +by +c|/√(a^2 +b^2)

We can write the equation of the line as ...

  x + y -4 = 0

so the distance is ...

  d = |x + y - 4|/√(1^2 +1^2)

For point (x, y) = (2, -1), the distance is ...

  d = |2 +(-1) -4|/√2 = 3/√2 = (3√2)/2

The distance from A(2, -1) to the line y = -x +4 is (3√2)/2 units.

What percent of 8 is 6? pls give a detailed explanation thanks

Answers

Answer:

x/100 x 8 = 6

8x/100 = 6

x100    x100

8x = 600

Divide by 8 on both sides:

X = 75

Consider a percent out of 100. 'Of' meaning multiplication. 'is' meaning equal to that number.

(unknown number/percent)x/100 x 8(of 8) = 6(is 6)

A) En cada caja hay 5 caramelos. Si tengo 8 cajas ¿cuántos caramelos tengo? b) Romina tiene 9 pelotas y Lidia 4 veces más que ella. ¿Cuántas pelotas tiene Lidia?

Answers

Answer:

a) 40 caramelos

b) 13 bolas

Step-by-step explanation:

A) En cada caja hay 5 caramelos. Si tengo 8 cajas, ¿cuántos caramelos tengo?

1 caja = 5 caramelos

8 cajas = x

Multiplicar cruzada

x × 1 caja = 8 cajas × 5 caramelos

x = 8 cajas × 5 caramelos / 1 caja

x = 40 caramelos

b) Romina tiene 9 bolas y Lidia 4 veces más que ella. ¿Cuántas bolas tiene Lidia?

Romina = 9 bolas

Lidia = 4 bolas más que ella

Lidia = 9 bolas + 4 bolas

= 13 bolas

what question is being asked ?​

Answers

Answer:

4 meters

Step-by-step explanation:

Assuming that the garden is a rectangular garden, its area would be length ×width.

Let the length be L meters and the width be W meters.

Area= L ×W

48= LW -----(1)

Given that the length is 3 times the width,

L= 3W -----(2)

Substitute (2) into (1):

48= 3W(W)

3W²= 48

Divide both sides by 3:

W²= 48 ÷3

W²= 16

Square root both sides:

[tex]W = \sqrt{16} [/tex]

W= 4 (reject negative as width cannot be a negative number)

Thus, the width of the garden is 4 meters.

What is the answer to the math question attached

Answers

Answer:

OK so this may or may not help u ...

this can be taken as the straight line with equation

y = mx + c

here f(x) is taken to be y

the attached pic is the graph of this function

so I think the value of x before it explodes would be 18.875

as in 18.875 seconds the rocket has reached its maximum height ( from 0 to 302)

and x represents the time

the time before it explodes = 18.875

and f(x) represents height so we see that the highest possible value of f(x) from the graph is 302

the height at which it explodes would be = 302

y=x^2+8x+10

what does X=

Answers

For this problem you will need to use the quadratic formula. [tex]x=\frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex] (the + and - are together. basically the plus is on top and the minus is on bottom. you should have seen it in your notes hopefully). a = 1, b = 8, and c = 10. from there you just plug everything in and solve.

Increase £140 by 5%.
Thank you so much

Answers

Answer:

£140 increased by 5% is £147.00

Answer:

it should be 147.00 , I'm so sorry if I'm wrong!

What is the area of a square if the base is 4.25ft and the height is 4.25 ft?

Answers

Answer:

18.0625 ft²

Step-by-step explanation:

4.25 × 4.25

18.0625 ft²

Jean took out a 5- year car loan of Rs 600 000.
He paid back a total of Rs 840 000.
What simple interest rate did he pay for this load?

Answers

interest= 840000-600000= 240000

P= 600000

R=?

t= 5 yrs

I = prt

240000 = 600000 × r × 5

r= 240000/600000×5

r = 0.08

interest rate = 0.08× 100 = 8%

A 25.5 foot ladder rests against the side of a house at a point 24.1 feet above the ground. The foot of the ladder is x feet from the house. Find the value of x to one decimal place.

Answers

Answer:

8.3

Step-by-step explanation:

Use the pythagorean theorem: a2 + b2 = c2 a2 would be 24.1 and c2 would be 25.5. square them then subtract a2 from b2. then find the square root of your answer which is 8.3

Which of the following is the graph of (x + 3)2 + (y - 1)2 = 9? A B с 2. 2 2 2 4 -2 4 2 -2 2 2 4 2.​

Answers

The third one is the correct graph for the equation

hope it helps !!

The equation  [tex]\left(x-3\right)^{2}+\left(y-1\right)^{2}=3^{2}[/tex]  is the equation of a circle. Graph B shows the given equation.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The standard equation of the circle is;

[tex]\left(x-h\right)^{2}+\left(y-k\right)^{2}=r^{2}[/tex]

Where,

(h,k) are the coordinates of points on the x and y-axis.

r is the radius

The equation  [tex]\left(x-3\right)^{2}+\left(y-1\right)^{2}=3^{2}[/tex]  is the equation of a circle.

Hence, graph B shows the given equation.

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PLSSS HELP ASAP I NEED HELP

Answers

Answer: 39.4 m^2


Explanation:
The area of a circle is pi * radius squared. The diameter is 4 m, the radius is half the diameter so for the equation the radius is 2 m.

Pi times 2 is 6.28 (remember that pi is roughly 3.14), then square that sum of 6.28.

6.28^2= 39.4384

The answer is 39.44 but the answer must be rounded to the nearest tenth, 39.4384 is 39.4 rounded to the nearest tenth.

I need the answer nowwwwww right nowwwwww

Answers

Answer:

160 cm i think

Step-by-step explanation:

What is the value of 11g - 9k + 3 when g = 9 and k = 11?
Neatly show your work.

Answers

Answer:

3

Step-by-step explanation:

11g - 9k + 3

Let g = 9 and k =11

11 * 9 - 9*11 +3

Multiply

99 - 99 +3

Add

3

Answer:

3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

Identify

11g - 9k + 3

g = 9

k = 11

Step 2: Evaluate

Substitute in variables:                                                                                     11(9) - 9(11) + 3Multiply:                                                                                                             99 - 99 + 3Subtract:                                                                                                            3

Which expression is equivalent to (2x+3)(3x2−2x+5)?

Answers

Answer:

See the steps below:)

Step-by-step explanation:

Expression is equivalent to (2x+3)(3x²−2x+5) is 6x³+5x²+4x+15.

What are equivalent expressions ?

An expression can be of many types numerical expressions, Algebraic expressions.We can also form these mathematical expressions from a given statement or by observing a real world scenario.

Equivalent expressions are same expressions in different forms.To check whether an expression is equivalent to another expression or not we just need to do some algebraic manipulations.Like distributing or taking common and other algebraic and arithmetic operations.

According to the given problem we have to write an expression which is equivalent to the expression (2x+3)(3x²-2x+5).

(2x+3)(3x²-2x+5)

= (2x+3)(3x²-2x+5)

=2x(3x²-2x+5)+3(3x²-2x+5)                                (now we will distribute)

=6x³-4x²+10x+9x²-6x+15

=6x³+5x²+4x+15.

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Find the area of a regular pentagon that is inscribed in a circle of radius 3. Round to the nearest whole number.

Answers

Answer:

The area of the pentagon is approximately 21 square units

Step-by-step explanation:

The radius of the circle in which the regular pentagon is inscribed, r = 3

The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;

A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)

Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈  21

The area of the pentagon, A ≈ 21 square units.

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