A pair of dice is tossed. what is the probability of getting sum of 5 or 9?
A)7/9
B)5/9
C)1/9
D)2/9​

Answers

Answer 1

Answer:

[tex]Probability = \frac{2}{9}[/tex]

Step-by-step explanation:

Given:

A pair of dice

Required

Determine the probability of a sum of 5 or 9

Let the sample space of the first die be S1 and the second, S2

[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes

[tex]S_2 = {1,2,3,4,5,6}[/tex]  --- 6 outcomes

Number of sample space, n is:

[tex]n = 6 * 6[/tex]

[tex]n = 36[/tex]

Next, we list out all possibilities of obtaining a sum of 5

[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]

n(Sum5 )= 4

Next, we list out all possibilities of obtaining a sum of 9

[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]

n(Sum9)= 4

The required probability is then calculated as:

[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]

[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]

Take LCM

[tex]Probability = \frac{4+4}{36}[/tex]

[tex]Probability = \frac{8}{36}[/tex]

Simplify

[tex]Probability = \frac{2}{9}[/tex]


Related Questions

4.SEP Use Mathematics
The force of
gravity on the moon is only 16.6% the force
of gravity on Earth. For each item listed in the
table below, fill in what its weight would be on

Answers

The complete table is given below:

  ITEM                                   W(E)                               W(M)

  Apple                                 150 g                               25 g

  Hammer                            1.5 lbs                             0.25 lbs

  Person                              180 lbs                              30 lbs

  Blue whale                      200 tons                          33.3 tons

Here, we are given that the force of gravity on the moon is only 16.6% the force of gravity on Earth.

This means that for an object of mass 'm' -

F(M) = 16.6% of F(E)

This means that a person would weigh six times less on the moon than they do on Earth

W(moon) =  [W(earth)]/6

Thus, we can complete the table as follows-

  ITEM                                   W(E)                               W(M)

  Apple                                 150 g                        1/6 x 150 = 25 g

  Hammer                            1.5 lbs                        1/6 x 1.5 = 0.25 lbs

  Person                              180 lbs                       1/6 x 180 = 30 lbs

  Blue whale                      200 tons                     1/6 x 200 =  33.3 tons

Hence, the complete table is given above.

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Your question was incomplete. Check for the missing table below.

A family used a professional decorator to help furnish their new home. The decorator selected $1,580 worth of furnishings. In addition to paying for the purchases, the family paid 4.5% tax on the purchases. The decorator's fee was 12% of the purchases, not including the tax. Write an equation in the form of y=kx to represent the decorator's fee. Then use the equation to calculate the amount of that fee. Round to the nearest hundredths place if necessary.

Answers

Answer:

Step-by-step explanation:

Worth of furnishings = $1580

Tax rate = 4.5%

Tax = 4.5% × $1580 = 0.045 × $1580 = $71.10

Amount paid = $1580 + $71.10 = $1651.10

Since the decorator's fee was 12% of the purchases. This will then be calculated as:

y = kx

where,

y = decorators fee

k = percentage of decorators fee on purchases

x = amount paid

y = 12% × $1651.10

= 0.12 × $1651.10

= $198.132

Which one is it please help

Answers

Answer:

its 4+(-10)

Step-by-step explanation:

Help me with elar pls

Answers

Answer: indirect characterization

Step-by-step explanation:

Indirect characterization is a method of indicating what a character is like by revealing their personality through descriptions of their actions, speech, appearance, and interactions with other characters.

Simplify the expression using the Distributive Property.

½(10x + 20y)

Answers

Answer:

Step-by-step explanation:

The distributive property affects both terms.

1/2 * 10x + 1/2 * 20 y

5x + 10 y <===== Answer

Answer:

5x+10y

Step-by-step explanation:

1/2•10= 5

1/2•20= 10

5x+10y

McKinney High School band has 105 members that play percussion
instruments. There are 350 members in the band. What percentage of the
band members play percussion instruments?
O 21%
O 30%
42%
10.5%

help me please i will really appreciate it

Answers

Answer:

30 percent. Trust me, if not then look it up

The width of a rectangle is 1 units less than the length. The area of the rectangle is 20 units. What is the width, in units, of the rectangle?

Answers

19units should be the with

Which of these triangles appears not to be congruent to any others shown
here? Check all that apply.

i need help!

Answers

Answer:

B, C, F

Step-by-step explanation:

B- has different lengths for each side and different angles

C-has different lengths for each side and different angles

F-has different lengths for each side and different angles

Non congruent triangles means if shape is reflected or rotated they would not look the same. Congruent triangles have same equal length and angles are equal in measure.

What is 23/41 as a percentage?
Give your answer rounded to one decimal place.

Answers

Answer:

i think it's 56.1% but the decimal may be wrong

The value of the equation A = 23/41 is 56.1 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 23/41   be equation (1)

On simplifying the equation , we get

A = 0.56097

Now , the value of A in percentage is

A = 56.097 %

Now , on simplifying the equation , we get

A = 56.1 %

Therefore , the value of A is 56.1 %

Hence , the equation is 56.1 %

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Solve the inequality n divided by -3 + 8 > 6.

Answers

5>6 I hope this helps

Answer:

n<30

Step-by-step explanation:

have a great day

Please Help Its urgent!
Ill give brainliest!!!

Answers

Answer: a.70% b.38% c.100% d.31% e.67%

Step-by-step explanation:

Solve for X
4x + 8 = 2x + 2​

Answers

Answer:

x = -3

Step-by-step explanation:

this is your answer hope this helps !!

a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?

A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)

Answers

Answer:

c or d

Step-by-step explanation:

Y = 3/4x + b
2 = 3/4 + b, b = 1.25
Y = 3/4x + 1.25
Plug in the points and see
6 = 3 + 1.25, false
7 = 3 + 1.25, false
5 = 3.75 + 1.25, true
Solution: C. (5,5) is the answer

carlos montado was born on saturday, november $9$, $2002$. on what day of the week will carlos be $706$ days old? (spell out the entire day of the week.)

Answers

When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.

Given,

Carlos born on November 9 2002 which was Saturday

We know,

1 week = 7 days

100 week = 700 days

The 700th day will be Saturday. because the days will repeat every 7 days

707th day will be Saturday, therefore

706th day will be Friday

Hence, When Carlos was born on Saturday November 9 2002, then on Friday he will be 706 days old.

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John who is 5 ft tall is standing 20 feet away from a tree, and you measure the angle of elevation to be 38∘. How tall is the tree? Find your answer to the nearest tenth

Answers

Answer:

The tree is 20.6 ft tall.

Step-by-step explanation:

Please check the attached graph.

From the diagram, it is clear that John is 5 ft tall is standing 20 feet away from a tree, making an angle of elevation to be 38⁰.

The diagram makes a right-angled triangle.

Given the angle = Ф = 38⁰Adjacent = a = 5 ftOpposite = b = 20 ftHypotenuse = Tree length = c  ?

Pythagorean Theorem:

For a right-angled triangle, with sides 'a' and 'b', the hypotenuse 'c' is defined as:

[tex]\:c=\sqrt{a^2+b^2}[/tex]

substituting a=5, b=20

[tex]c=\sqrt{5^2+20^2}[/tex]

[tex]c=5\sqrt{17}[/tex]

[tex]c=20.6[/tex] ft

Thus, the tree is 20.6 ft tall.

Answer correct for brainliest!!

Answers

Answer:

im going for b

Step-by-step explanation:

Answer:

B is correct

Step-by-step explanation:

You can tell by the equation and the direction of the "<" sign that b is correct.

I've done lots of these problems before.

in 2012, approximately what percentage of high school seniors sampled had used lsd sometime during their life?

Answers

In 2012, 8 percentage of high school seniors sampled had used lad sometime during their life.

How common is LSD use among high school seniors?

LSD use among secondary school understudies is a specific concern. In excess of 8% of secondary school seniors in the United States utilized the medication something like once in the course of their life, and almost 4% involved the medication in the previous year, as per the University of Michigan's Monitoring the Future Survey. In spite of the fact that by the 1980s LSD use had extraordinarily declined, it made a resurgence during the 1990s, basically among teens. An overview led by Monitoring the Future Study discovered that 13.6 percent of 1997's secondary school seniors had tried different things with LSD no less than once contrasted with just 7.2 percent in 1986.

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what is 0.42 10 times as much?

Answers

Answer:

Answer is 4.2

Step-by-step explanation:

the lengths of a triangle are 12 and 23 meters find the range of possible lengths for the third side

Answers

Answer: 11 < x < 35

suppose: the length of the third side is x

because x is the third side of a triangle

=> 23 - 12 < x < 23 + 12

⇔ 11 < x < 35

Step-by-step explanation:

If segment RS has endpoint R(-4,-6) and midpoint M(3,-4) what is point S

Answers

Based on the calculations using the midpoint rule, the value of point S is equal to (10, 12).

What is a line segment?

A line segment can be defined as the part of a line in a geometric figure such as a triangle, circle, quadrilateral, etc., that is bounded by two (2) distinct points and it typically has a fixed length.

How to determine the other endpoint?

In order to determine the midpoint of a line segment with two (2) endpoints, we would add each point together and divide by two (2).

Midpoint on x-coordinate is given by:

xm = (x₁ + x₂)/2

3 = (-4 + x₂)/2

Cross-multiplying, we have:

6 = -4 + x₂

x₂ = 6 + 4

x₂ of S = 10.

Midpoint on y-coordinate is given by:

ym = (y₁ + y₂)/2

3 = (-6 + y₂)/2

Cross-multiplying, we have:

6 = -6 + y₂

y₂ = 6 + 6

y₂ of S = 12.

Therefore, point S is equal to (10, 12).

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A bike store has a blue bike that is $125 after a 9% tax, what is the cost of the bike?

Answers

Answer:

134.38 dollars

Step-by-step explanation:

In parallelogram HIJK, the measure of angle H is 45 degrees. 1.Find the measure of J and explain how you know

Answers

Answer:

45°

Step-by-step explanation:

A parallelogram is a polygon with 4 sides and 4 angles (that is a quadrilateral).

For a parallelogram ABCD, Opposite sides and opposite angles are equal (i.e. BC = AD and ∠A = ∠C).

Consecutive angles are supplementary that is ∠A + ∠B = 180°.

The diagonals of a parallelogram bisect each other also separating the parallelogram into two congruent triangles.

In parallelogram HIJK, ∠H and ∠J are opposite angles. hence:

∠H = ∠J (opposite angles of a parallelogram are equal)

∠J = 45°

Show that
(2 x 10^2) x (3 x 10^5) = 3.5 x 10^7 + 2.5 x 10^7

Answers

We have proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

In the given question

we have to prove that

(2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

For proving we will solve the LHS and RHS separately and then equate them .

First Solving LHS

we have

=(2*10²)*(3*10⁵)

=(2*3)*(10²*10⁵)

=6*10²⁺⁵       ...( because aⁿ.aˣ = aⁿ⁺ˣ )

=6*10⁷    ...(i)

Now solving RHS

we have

=3.5*10⁷+2.5*10⁷

taking 10⁷ common , we get

=(3.5+2.5)*10⁷

Adding the terms in the bracket we get

=6*10⁷     ...(ii)

As we can see that from equation (i) and (ii) we have LHS=RHS

Hence proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷

Therefore , Proved that (2*10²)*(3*10⁵) = 3.5*10⁷+2.5*10⁷  .

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HURRRYYYYY PLEASEEEEE

Answers

Answer:

I believe it's 12.

Step-by-step explanation:

The interquartile is the box I think.

how to do 3(x-2)= -6

Answers

Answer:

3×x -3×2=-6

or,3x-6=-6

or,3x=-6+6

or,x=0/3

therefore=x =1 answer

Answer:

x = 0

Step-by-step explanation:

Distribute the left side

3(x-2) = -6

3x-6 = -6

Add 6 to both sides

3x = 0

Divide both sides by 3

x = 0/3

x = 0


If m TUV = 64, mZTUW = 7x - 2,
and mZWUV = 24, find the value of x.
1
ud
V
X =

Answers

X=6

The easiest way to solve is
64-24=40
40/7= 6
X=6

You have 6 blue skittles, 10 red skittles, 15 orange
skittles and 9 green skittles in a bag. What are
your chances of reaching into the bag and
getting a red skittle? (make sure you simplify)

you’ll get brainliest if you solve this problem

Answers

Answer:1/4

Step-by-step explanation:

10/40

1/4

Play Prodigy
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$
Soap
Week of 09/5/22 Probability Review/Unit Test...
T/
D
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3/12 -
>
The company Sea Esta has ten members on its board of directors. In how many different ways can it
elect a president, vice-president, secretary and treasurer?

Answers

there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.

Total members = 10

number of positions = 4

Now, we will use permutations.

So, we get that:

Number of ways = 10 × 9 × 8 × 7

Number of ways = 90 × 56

Number of ways = 5040 ways

Therefore, we get that, there are 5040 ways by using permutations to select a president, vice-president, secretary and treasurer from 10 members on its board of directors.

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graph function need help

Answers

theres no graph with the question ?


Consider the matrix. What is |j| ?

Answers

Answer:

- 28

Step-by-step explanation:

Determinant of matrix J is

- 2(5) - 3(6) = - 28

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