If pair of dice are rolled, what is the probability of getting (i) A total of 9. (ii)
Same faces on both dices.

Answers

Answer 1

Answer:

I) 1/9; II) 1/6.

Step-by-step explanation:

I) a total of 9 is possible, if: 4+5; 5+4; 3+6; 6+3.

The probability of 4+5 is 1/6*1/6; of 5+4 is 1/6*1/6, of 3+6 is 1/6*1/6; of 6+3 is 1/6*1/6.

The required probability is:

1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=1/36 *4=1/9.

II) the same faces on both dices is possible, if: 1+1; 2+2; 3+3; 4+4; 5+5; 6+6.

The probability of 1+1 is 1/6*1/6; of 2+2 is 1/6*1/6; 3+3 is 1/6*1/6; 4+4 is 1/6*1/6; 5+5 is 1/6*1/6; 6+6 is 1/6*1/6.

The required probability is:

1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6+1/6*1/6=6* 1/36=1/6


Related Questions

pleaseee i need helpppppppppp

Determine whether ABC and PQR ar. congruent. Support your answer by describing a transformation. A(3,-1). B(4, 0), C(5, 3), P(-3, 1), Q(-4, 0), R(-5, -3) ​4. ​

Answers

A I think that’s what it is

Using the table, what is the cost of the luxury items?
A.$108.94
B.$187.12
C.$99.42
D.$78.18
Item Cost Item Cost
Store brand soap $2.99 Name brand soap $3.95
Name brand shoes $38.65 Store brand shoes $20.35
Name brand socks (3 pairs/pack) $6.89 Store brand socks (3 pairs/pack) $7.25
Store brand khakis for work $25.94 Name brand khakis for work $34.50
Name brand dress shirt $24.95 Store brand dress shirt $21.65

Answers

Answer:$108.94

Step-by-step explanation:

HELPPP 13 ( 11 - 3x) - 5(16- 4x)

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

2

Show work pls

Answers

13•11-13•3x-5•16-5•4x = Socratic app

what is 90900909909090909099009099090 +242424242424-6566556637
you probably used a calculator too find this out

Answers

Answer:

90900909909090909334866784877

or 9.0900909909090909334866784877 × 10²⁸

Step-by-step explanation:

I need help ASAP please!! Giving brainliest!!!

Answers

It’s the third option

A customer paid 9x + 11y dollars for a bag that contains x pounds of chocolate and y pounds of almonds.
Which statements about the expression are true?
Select the three statements that are true.
The amount the customer paid, in dollars, for the chocolate in the bag is 9x.
The amount the customer paid, in dollars, for the chocolate in the bag is 11y.
The total weight of the bag of chocolate and almonds is 9x + 11y.
O O O O O O
The total weight of the bag of chocolate and almonds is x + y.
The cost per pound of the chocolate is $11.
The cost per pound of the almonds is $11.

Answers

Answer:

Answer is a,d, and f

Step-by-step explanation:

HELP PLEASE! (Look at the picture!!!!)

Answers

Answer:

8

Step-by-step explanation:

The radius is part of a 3-4-5 special right triangle.

The diameter is two times the radius, so 4*2=

I hope this helps! :)

PLEASE HELP AND HURRY!! how many centimeters are in 5 quarts.

Answers

Answer:4731.76

Step-by-step explanation:

Which shortcut can be used to prove the triangles are congruent?

Answers

Answer:

Option 2: AAS is the right answer

Step-by-step explanation:

In the diagram, two triangles are given with two angle measurements and one non-included side.

It can also be seen that the respective angles of both triangles have same measurement and the non-included side is also congruent.

AAS Postulate:

"AAS postulate states that when two angles and one excluded side are congruent in two triangles then the triangles are congruent."

Hence,

Option 2: AAS is the right answer

The UK currently has a progressive income tax system on earnings. The rules are as follows: Any earnings under 11,500 GBP are taxed at 0%. Any earnings between 11,500 GBP and 33,500 GBP are taxed at 20%. Any earnings between 33,500 GBP and 150,000 GBP are taxed at 40%. Any earnings above 150,000 GBP are taxed at 50%. An executive earns 175,000 GBP gross. How much tax does he pay? Give your answer in pounds to the nearest pound. Do not include commas or the pound symbol in your answer.

Answers

The amount to tax that the executive pays is 87,500 GBP.

How much does the executive pay?

Tax is a compulsory payment that is levied on the income or one the sales of certain goods and services. Tax is imposed by the government to achieve various macroeconomic objectives. Taxes reduces the income of an individual.

When tax is levied on the income of an individual, it is known as an income tax. There are various types of taxes, one of them includes progressive tax. Progressive tax levies a higher tax percentage on those that earn an higher amount of money. Thus, the tax rate increases as income increases.

The executive earns 175,000 GBP gross. 175,000 GBP is greater than 150,000 GBP, thus, he would be taxed at a rate of 50%. In order to determine the tax the executive would pay, multiply the income of the executive by the tax rate.

Multiplication is the mathematical operation that is used to calculate the product of two or more numbers. The sign that is used to represent multiplication is x.

Tax that would be paid = tax rate x gross income

175,000 x 0.5 =87,500 GBP

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100 times my
number is 12.6 more
than 5,000.

Answers

Answer:

50.126

Step-by-step explanation:

50.126 is the correct answer

Ms. Regan has determined that she cannot spend more than $50 every two months on carrot sticks? Do you think she’s meeting her goal?

Answers

We need what the goal would be to answer the question. But to help out in 4 months it would be $100. And in one year it would be $300

Slope is 9 and (−5, −1) is on the line.

The equation of the line in point-slope form is:

Answers

Answer:

y + 1 = 9 (x + 5)

Step-by-step explanation:

point slope form is

y - y1 = m (x - x1)

replace the y1 with the y point, the x with the x point, and m with the slope

y - (-1) = 9 (x - (-5) )

now simplify

y + 1 = 9 (x + 5)

if you need slope intercept, just simplify more

distribute the 9 to the x and 5

y + 1 = 9x + 45

and subtract the 1 from both sides

y = 9x + 44

v²=u²+2as make u as the subject

Answers

Answer:

u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Step-by-step explanation:

Given;

v² = u²+2as

To make u the subject of the formula, the following steps are taken;

v² = u²+2as

v²  - 2as = u²

take the square - root of both sides of the equation;

[tex]\sqrt{u^{2} } = \sqrt{v^{2}-2as } \\\\u = \sqrt{v^{2}-2as }[/tex]

Thus, u as the subject of the given formula is, [tex]u = \sqrt{v^{2}-2as }[/tex]

Camry's Dairy Factory produces milk in three flavors: vanilla, strawberry, and
chocolate. The amount of vanilla-flavored milk they produce in a day is 2 times
the amount of chocolate-flavored milk. The amount of chocolate-flavored milk
they produce in a day is 3 times the amount of strawberry-flavored milk.
What is the ratio of the amount of vanilla-flavored milk to the amount of
chocolate-flavored milk to the amount of strawbery-flavored milk it produces
in a day?
a.

Answers

Answer:

vanilla to chocolate is 2:1

and chocolate to strawberry is 3:1

Step-by-step explanation:

Now I am hungry.(magnum is my favorite ice cream)

Which of the following are needed to make an EXPRESSION?
A variable(s)
B operation(s)
C number(s)
D equal sign

Answers

A I’m not sure though

Answer:

a

Step-by-step explanation:

Can someone help me?

Answers

Answer:

They are similiar

But which options of answers do you have?

What is the difference between 61.8 and 27.3 write the answer as a decimal to nearest tenth (please answer ASAP)

Answers

Answer:34.5

Step-by-step explanation:

Difference = subtract

The difference between 61.8 and 27.3 is 34.50.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

Given, Two numbers 61.8 and 27.3

Difference between these numbers = 61.8 - 27.3

Difference between these numbers = 34.50

Therefore, 34.50 is the difference between 61.8 and 27.3.

Learn more about Mathematical operations here:

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Please help me I’ve been stuck on this since 9:00 am

Find the value of x.
Round to the nearest tenth.
14
8
X
19
x = [? ]°
Law of Cosines: c2 = a2 + b2 - 2ab cos C

Answers

Answer:

OK i will try to help if u can tell me what the complement of rolling a 3 on the die is

Step-by-step explanation:

You roll a 6-sided die.
What is P(1 or divisor of 63)?
Simplify your answer and write it as a fraction or whole number.
Submit

Answers

Answer:

63diveded by 6

63/6

twenty one divided two is correct ans

21/2

I will braninlest you

Which situation would require determining volume?

a. Kiki wants to know how wide her window is.

b.Nick wants to know how much tile it takes to cover the floor of a room.

c. Min wants to know how much fence is needed to go around the edges of his yard.

d. Sarah wants to know how much water her fish tank can hold.

Answers

Answer:

d

Step-by-step explanation:

Volume is space inside something, like water in a fish tank

Find the center and radius of this circle x^2+y^2-6x-10y+30=0

Answers

Answer:

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2

The coordinates of the center will be - O(3, 5) and the radius will be - 2 units

We have the following equation of a circle -

[tex]x^{2} +y^{2} -6x-10y+30=0[/tex]

We have to find the radius and center coordinates of this circle.

What is Circle ?

A Circle is a curve traced out by a point that moves in a plane such that its distance from a given point is constant.

According to the question, we have the equation of circle -

[tex]x^{2} +y^{2} -6x-10y+30=0[/tex]

[tex]x^{2} +y^{2} -6x-10y=-30\\x^{2} -6x +y^{2} -10y = -30\\x^{2} -6x +(\frac{-6}{2} )^{2} +y^{2} -10y +(\frac{-10}{2} )^{2} = -30+(\frac{-6}{2} )^{2} +(\frac{-10}{2} )^{2}\\\\x^{2}-6x +9+y^{2} -10y+25 = -30 +9+25\\(x-3)^{2} + (y-5)^{2} =4[/tex]

Compare the above equation with the general equation of circle -

[tex](x-a)^{2} +(y-b)^{2} =r^{2}[/tex]

We get -

the coordinates of center will be - O(3, 5) and the radius will be = [tex]\sqrt{4}[/tex] = 2 units.

Hence, the coordinates of the center will be - O(3, 5) and the radius will be - 2 units

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Please please help

What is the answerrrr

I neeed help

Answers

angles 2 and 3 im pretty sure that is right

help with this!thank you!

Answers

Answer:

≈ 3.75°

Step-by-step explanation:

Let the slope be x

tan x = 3/36tan x = 1/12x = arctan 1/12x ≈ 3.75°

CHALLENGE 5 QUESTIONS you up for it the 5 are down below ITS MATH WILL GIVE BRANLEY AND 18 POINTS

Answers

Answer:

The answer is D

Step-by-step explanation:

And u lied you said 18 points when this question is up for 9 points

PLEASE ONLY ANSWER IF YOU KNOW THE ANSWER!!! I WILL GOVE BRAINIEST IF CORRECt

Answers

Answer:

26 2/3 * [tex]\pi[/tex] or about 74.31 cubic inches.

Step-by-step explanation:

Find a solution to the linear equation 6x+y=6

Answers

Answer:

y = -6x + 6

Step-by-step explanation:

Unless you are asking for solving the linear equation itself, the answer would be y = -6x + 6.

If you were trying to set up systems and then solve for actual solutions, you would need two equations. I will go with solving the linear equation, but if you meant solving systems, the answer cannot be found.

I need help with this!! ASAP

Answers

Answer:

x = 16

Step-by-step explanation:

I'd explain but I should also be doing school so I can no longer help you in your journey of greatness my friend...

Goodbye!

Which of the following is equal to 3 quarts?

a 8pints

b 12cups

c 64fl oz

d .34 gallon ​

Answers

Answer:

b

Step-by-step explanation:

there are 16 cups in a gallon and there are 4 quarts in a gallon. 3 quarts is 3/4 of a gallon and so is 12 cups.

Answer:

B

Step-by-step explanation:

1 quart=4 cups

So 4x3=12

Find the Find the slope of the line that passes through (19, -2) and (-11, 10) *
3 points
slope of the line that passes through (19, -2) and (-11, 10) * 3 points

Answers

Answer:

The slope of the line   [tex]m = \frac{2}{5}[/tex]

Step-by-step explanation:

Given points are ( 19 , -2) and (-11 , 10)

The slope of the line

           [tex]m = \frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

          [tex]m = \frac{10-(-2)}{-11-19}[/tex]

         [tex]m = \frac{10+2}{-11-19}[/tex]

        [tex]m = \frac{12}{30}[/tex]

The slope of the line   [tex]m = \frac{2}{5}[/tex]

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