A bag contains 12 balls which are numbered from 1 to 12. If two ball are selected at random, what is the probability that the total sum of the balls will be an even number

Answers

Answer 1

Answer:

5/11.

Step-by-step explanation:

The number of ways 2 balls can be selected = 12P2

= 12!/10!

= 12*11

= 132.

There are 6 even numbers and 6 odd numbers in the bag.

If both numbers drawn are even there are 6P2 = 30 ways that sum is even.

If the 2 numbers are odd there are also 30 ways that sum is even.

Any other combination wil be odd.

So the required probabilit = 2(3) / 132

= 60/132

= 5/11.


Related Questions

Lacie bought a $20 shirt that was marked down 30%. what did she pay after tax of 6% was added to the price of the shirt?

Answers

Answer:

14.84

Step-by-step explanation:

20*(6%+1)*(1-30%)

20*(0.06+1)*1-0.3)

20*1.06*0.7

14.84

Find in the inverse algebraically y=2(x-3)3+1

Answers

the answer to this would be y=6x-17

Answer:

Step-by-step explanation:

Y=(X-3) 3+1

1. Flip the way the equation is facing

1+3 (3-x)=Y

2. Add or Subtract

4 (3-x)=Y

3. Do the parentheses

4(-3x)=Y

4. Solve for X ( Undo addition or Subtraction)

(4-4)=0

What ever you do to one side you have to do to the other!

Y-4

Your New Equation Looks Like

-3x= -4 + Y

5. Undo Multiplication

-3x/3= x

What ever you do to one side you have to do to the other!

-4/3 y/3

6. Divide Y

y/3= 3

7. New equation

X= -4/3 + 3

8. Plug in X to the Original Equation

Y=2(-4/3+3) -3 +(3+1)

9. Solve accordingly

pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY

Answers

2. 2l has to be less than or equal to 108-40

This is because the garden is a rectangle, meaning that the 2 widths and 2 heights will be the exact same.

So, if the width is 20 and there are 2 “width” sides of a rectangle, the total perimeter - 40 will give you length of the 2 other sides, combined. This is why 2x the length has to be less or equal to 108-40.


4. 0.25

Mika does 3 things everyday for 5 days, which takes 7.5 hours.

So, 7.5 / 5 = time spent doing 3 things everyday

Mika spends 1.5 hours everyday cleaning, tuning, and playing.

BUT,

The question is asking how long she spends JUST cleaning and tuning.

It also tells you that he practices for 1.25 hours everyday.

So, if he takes 1.5 hours to do all 3 things and practices for 1.25,

1.5 - 1.25 = 0.25

She does spends 0.25 hours everyday cleaning and tuning.

Which value would make the inequality 4.5d > 31.5 true?
A. d=8
B. d=7
C. d=6
D. d=5

Answers

Answer:

d=8

Step-by-step explanation:

4.5(8)>31.5 works because 36>31.5

Help please!! Thank you!! :)
Let m = x^2+3
Which equation is equivalent to (x^2+3)^2+7x^2+21=-10 in terms of m?
A. m^2+7m+10=0
B. m^2-7m+10=0
C. m^2+7m+31=0
D. m^2-7m+31=0

Answers

Answer:

  A.  m^2+7m+10=0

Step-by-step explanation:

This is a problem in pattern matching, and in substituting a variable for a pattern.

  (x^2+3)^2 +7x^2 +21 = -10 . . . . . . given

  (x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms

  m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3

  m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A

Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39, and the second boat travels 4 knots at a bearing of S87°W. 2 degrees * E a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?

Answers

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

V'=22.93KmB=132°

What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

Read more about Speed

https://brainly.com/question/4931057

-3.28+4.4-9.7

fdsafdsa

Answers

Answer: -8.58

Explanation

we add -3.28+-9.7

-(12.98 - 4.4) = -8.58

Please Help! Will Give Brainlest!

Answers

Answer:

[tex] \frac{ - \sqrt{3} }{2} [/tex]

Step-by-step explanation:

First, we find the coterminal angle of

[tex] \frac{ - 8\pi}{3} [/tex]

to do that, first, convert this into degrees.

[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]

Know, continously add 360 until we get our first positve number,

[tex] - 480 + 360 = - 120[/tex]

[tex] - 120 + 360 = 240[/tex]

So our coterminal angle is 240.

We need to know sin (240), the y value of sin (240) will gives us our answer.

That answer is

[tex] \frac{ - \sqrt{3} }{2} [/tex]

What is the slope of the line that has equation. y -4.33=1.67(x+7.95)

Answers

The slope of the line is 1.

Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)

Answers

Answer:

x⁴ - 8x² + 9

Step-by-step explanation:

The Area of the smallest square is A1 = x . x = x²

The Area of the second square is A2 = ( x² - 3 )(x² - 3)

A2 = x⁴ - 3x² - 3x² + 9

A2 = x⁴ - 6x² + 9

The Area of the Shaded shape is A2 - A1

x⁴ - 6x² + 9 - x²

x⁴ - 8x² + 9

James has 16 balloons . 1/4 of his ballons are red. How many red ballons does he have

Answers

Answer:

James has 4 red balloons

Step-by-step explanation:

16 × 1/4 = 4

You could also say 16 ÷ 4 = 4

Hope that helps!

The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =

Answers

The distance between the two points pictured will be [tex]\sqrt{61}[/tex].

What is the distance between the two points?

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].

To learn more about the distance between the two points refer to;

https://brainly.com/question/16410393

Answer:

n=61

Step-by-step explanation:

. In the diagram of collinear points, if AB = 42, AC = 65, then BC = _

Answers

Answer:

Bc 23

Step-by-step explanation:

because you muply 42 to 65 and u will get that the same answer

Marcus works as a salesman at a car dealership. He is paid a base salary of $1,137.89 each month, and he receives a commission of $212.69 for each vehicle he sells. If last month Marcus earned $9,220.11, how many cars did he sell last month?

Answers

Answer:

He sold 38 cars

Step-by-step explanation:

first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22

then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.

Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

6 units
12 units
14 units
4 units

Answers

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]

     = [tex]\sqrt{(-12)^2+0^2}[/tex]

     = [tex]\sqrt{144+0}[/tex]

    = [tex]\sqrt{144}[/tex]

    = 12

What are the coordinates of the vertices of the image?
Rotate shape A 90° clockwise with centre of rotation (0,0).
Will mark brainliest

Answers

Step-by-step explanation:

(2,4)===(4,-2)

(4,3)===(3,-4)

(2,3)===(3,-2)

Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.

Answers

X= 2.5 2.75 divided by 1.10 =2.5

what is the correct answer to this?

Answers

Answer:

1.4 meters

Step-by-step explanation:

Given,

Volume of rectangular prism ( V ) = 18.144 cubic meters

Width ( w ) = 2.7 m

Length ( l ) = 4.8 m

To find : d

Here, d is Height ( h ).

Formula : -

V = whl

18.144 = 2.7 x 4.8 x d

18.144 = 12.96 x d

d = 18.144 / 12.96

d = 1.4 meters

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex]v = l \times w \times h[/tex]

[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]

[tex]18.144 {m}^{3} = 12.96 \times d[/tex]

[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]

[tex]1.4m = d[/tex]

Find yolanda’s finance charge in november using the previous balance method, the adjusted balance method, and the daily balance method. among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $12.53 b. $11.59 c. $12.05 d. $10.91

Answers

Answer:

i believe its B

Step-by-step explanation:

Answer:

The Answer is B. $11.59

Step-by-step explanation:

Edge 2022

solve pls brainliest

Answers

Answers:
1. No
2. No
3. No
4. Yes
5. Yes

Answer:

No, no, no, yes, yes.

Step-by-step explanation:

A integer is a whole number, 1, 2, 3, etc.

please help me! I will make whoever answers brainiest! please help it's for a test!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.

1
0
3
4
2

6(2a − a + 1) = 24

4 + 3(a + 2) = 16

3a − 2a − 4 = 0

2a + 3(a + 1) = 8

Answers

Answer:

6(2a-a+1)=24 =(3)

4+3(a+2)=16 =(2)

3a-2a-4=0 =(4)

2a+3(a+1)=8 =(1)

Step-by-step explanation:

6(2a-a+1) =24

6(2a-a+1) =2412a-6a+6 =24

6(2a-a+1) =2412a-6a+6 =246a =24-6

6(2a-a+1) =2412a-6a+6 =246a =24-66a= 18

6a/6= 18/6

a = 3

4+3(a+2)=16

4+3a+6=16

3a+10=16

3a=16-10

3a=6

3a/3=6/3

a=2

3a-2a-4=0

a-4=0

a=0+4

a=4

2a+3(a+1)=8

2a+3a+3=8

5a+3=8

5a=8-3

5a=5

5a/5=5/5

a=1

If p
=
1
2
, q
=

1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)

Answers

Answer:

26535600

Step-by-step explanation:

This took so much work to get into a format I could read hahaha!

I hope it helps!

30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600

Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?

Answers

Let’s make

P = Pamela
J = Jiri

J - 6 = P

P + J = 78

We can replace P with J - 6 because they are the same thing.

J - 6 + J = 78

2J - 6 = 78

2J = 84

J = 42

Jiri is 42 years old.



please please someone help

i put a picture ​

Answers

Check the picture below.

can someone help me with this

Answers

What do you need help with???!!

Ms. Lynch drove her new car
50000000 fast (12 miles in 6 mins.)
that she nearly scared Ms. Allen to
death; who was riding in the car.
What is her speed in miles per hour?

Answers

Answer:

120 miles/hour

Step-by-step explanation:

6 x 10= 60 min

12 x 10= 120 miles

Answer:

Definitely 120 miles per hour.

Step-by-step explanation:

First, if she drove 50,000,000 fast, you need to do 6 minutes x 10 because 10 can go into 50,000,000. So, yes, it's 60. But that isn't right... it's too short. Try the next one.

How about we do the miles. 12 miles x 10 will get you your answer; 120.

I honestly don't know what I'm doing. It most likely isn't 120, but I did the math, and it was hard.

Write the following as an inequality
X is greater than -9 and less than 9
use x only once in your inequality.

Answers

Answer:

-9 < x < 9

Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.

Which ratio below is equivalent to the ratio 7 : 350?

Answers

1:50 because (7/350)/7 = 1:50

Answer:

7/350 7 to 350

Step-by-step explanation:

there are 3 ways to write a ratio

:

to

/

In this triangle, a = 10 cm, b = 24 cm, and c = 26 cm.

What is the area of this triangle?


312 cm²

240 cm²

130 cm²

120 cm²

Answers

120 cm^3

The equation for a triangle: 1/2bh.

1/2(a)(b)

1/2(10)(24)

1/2(240)

120 cm^3

PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)

Two functions, function A and function B, are shown below:


Function A


x y

7 21

8 24

9 27


Function B

the picture.



Which statement best compares the rate of change of the two functions? (1 point)


The rate of change of both functions is 2.

The rate of change of both functions is 3.

The rate of change of function A is greater than the rate of change of function B.

The rate of change of function B is greater than the rate of change of function A.

Answers

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

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