Help PLEASE!
Two distinct number cubes are rolled together. Each number cube has sides numbered 1 through 6.

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 3?



Enter your answer, in simplest fraction form, in the box.

Answers

Answer 1

Answer:

The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

P( E∪F)  [tex]= \frac{24}{36}[/tex]

Step-by-step explanation:

Given Each number cube has sides numbered 1 through 6

Two distinct number cubes are rolled together

Total number of exhaustive cases n(S) = 36

Let 'E' be the event of getting sum is even

n(E) = {(1,3),(1,5), (2,2),(2,4),(2,6),(3,1),(3,3),(3,5),(4,2),(4,4), (4,6),(5,1),(5,3),(5,5),(6,2),(6,4),(6,6)} = 17

[tex]P(E) = \frac{n(E)}{n(S)} = \frac{17}{36}[/tex]

Let 'F' be the event of getting sum that is a multiple of '3'

n(F) = {(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3),(6,6) = 12

[tex]P(F) = \frac{n(E)}{n(S)} = \frac{12}{36}[/tex]

n((E∩F) = {(2,4),(3,3),((4,2),(5,1),(6,6)} =5

[tex]P(En F) = \frac{n(En F)}{n(S)} = \frac{5}{36}[/tex]

The probability that the outcome of the roll is an even sum or a sum that is a multiple of 3

P( E∪F) = P(E) + P(F) - P( E∩F)

            [tex]\frac{17}{36} +\frac{12}{36} - \frac{5}{36} = \frac{24}{36}[/tex]


Related Questions

Can someone help me with this one I’m stuck please and thank you

Answers

Answer:

none of them it should be ac,cb,ab. From my point of view

Which is the equation in slope-intercept form of a line that contains points D and E?

Answers

Answer:

y=1x

Step-by-step explanation:

theirs no b because it goes through (0,0)

to find slope you do 2-4 over 2-4 and it equals 1

hope this helps:)

EASY question for y’all mathy people, multiple choice. Ez points, question in photo

Answers

Answer: c

Step-by-step explanation:

Answer:

Subtract both sides by 2x

Divide each side by 6

Step-by-step explanation:

2x+6 = 8x

Subtract both sides by 2x

2x+6 -2x = 8x-2x

6 = 6x

Divide each side by 6

6/6 = 6x/6

1 =x

help help help help help help

Answers

Answer:

21.98

Step-by-step explanation:

C = Dπ

D = 7

7 * 3.14 = 21.98

The units of the subway map at the right are in miles. Suppose the routes between stations are straight, find the distance you would travel between each the Elm and Symphony Stations. Round your answer to the nearest tenth of a mile. The distance between the Elm and Symphony Stations is how many miles?

Answers

Answer:

Distance between 2 stations= 8.94 miles

Step-by-step explanation:

The coordinates of Symphony Station is given by:

Symphony Station: (x₁ , y₁) : (1,2)

The coordinates of Elm station is given by:

Elm Station: (x₂ ,y₂) : (-3,-6)

We know that the distance formula can be used to find distance between these 2 points. Distance formula is given as

d= √((x₂ - x₁)² + (y₂ - y₁) ²)

Substitute values

d= √((-3 - 1)² + (-6 - 2) ²)

d= √((-4)²+(-8)²)

d= √(16+64)

d=√80

d= 8.94 miles

Diameter:
17 in
Radius:
Circumference:
What is the circumference of 17inches

Answers

The circumference is 8.5

Katie has 348 gel pens. She gives away 3/4 of them away how many does she give away?

Answers

Answer:

261

Step-by-step explanation:

Answer:

Katie gave away 261 gel pens.

Step-by-step explanation:

3/4 ÷348= 261

which two operations are needed to write the expression that repersents "four times the difference of a number and three"​

Answers

Answer:

4 (x-3)hhkjcdrtuvddistheansww

Dwie proste przecinają się, tworząc kąty ostre i rozwarte. Miara kąta ostrego jest dwukrotnie mniejsza od miary kąta rozwartego. Oblicz miarę kąta rozwartego daje naj

Answers

Answer:

The obtuse angle is 120°.The acute angle is 60°.

Step-by-step explanation:

This problem is about two crossing line, when that happens, we have 4 angles, two acute and two obtuse, where adjacent angles are supplementary and vertical angles are equal.

We can form the expression

[tex]A = \frac{O}{2}[/tex]

Where [tex]A[/tex] is an acute angle and [tex]O[/tex] is an obtuse angle.}

Using all the given information, we have

[tex]O + \frac{O}{2}=180\°[/tex]

Solving for [tex]O[/tex], we have

[tex]\frac{3O}{2}=180\\ O=120\°[/tex]

Therefore, the obtuse angle is 120°, which means the acute angle is 60°, because they are supplementary angles, as we said befor.

A bag contains 2 red, 5 blue, and 2 white marbles. Find the probability of randomly picking a red marble, keeping the marble, and then picking a blue marble.


A) 7/8

B) 10/81

C) 5/36

D) 1/9

Answers

Answer:

5/36

Step-by-step explanation:

There are 9 marbles in the bag

P( red) = number of red / total

           = 2/9

Keep the marble

1 red, 5 blue, and 2 white  = 8 marbles

P( blue) = number of blue / total

           = 5/8

P(red, keep,blue) = 2/9 * 5/8 = 10/72 = 5/36

.............................

Answers

Answer:

[tex]\frac{18p-5}{30}[/tex]

Step-by-step explanation:

Answer:

18p-5 over 30.

Found in the LCM method

What type of transformation has taken place in the picture shown?
10
D
В
-10
-5
0
5
10
C'
-B-5
A!
-101
O translation
O rotation
O reflection
O dilation

Answers

Answer:

Reflection and translation.

Step-by-step explanation:

The picture shows the preimage ABCD and the image A'B'C'D'.

Notice that both images are at the same distance from the x-axis, which implies a reflection across the x-axis. Them, the image was translated 1 units to the left.

Therefore, the right answers are reflection and translation.

Help me!

A spinner can land on either red or blue. You spin the spinner and then roll a six-sided number cube.

What is the sample space of outcomes?


{(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

{(R, B), (B, R), (R, 1), (B, 2), (R, 3), (B, 4), (R, 5), (B, 6)}

{BR, 123456}

{1, 2, 3, 4, 5, 6, B, R}

Answers

A sample set contains every possible outcome.

The answer would be:

(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

The sample space of the outcomes is {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

How to determine the sample space

The sample space of the spinner is:

S1 = {R, B}

The sample space of the six-sided number cube is:

S2 = {1,2,3,4,5,6}

When the two sample spaces are merged together, we have:

S = {(R, 1), (R, 2), (R, 3), (R, 4), (R, 5), (R, 6), (B, 1), (B, 2), (B, 3), (B, 4), (B, 5), (B, 6)}

Hence, the sample space of the outcomes is (a)

Read more about sample space at:

https://brainly.com/question/5750471

7. A shopkeeper buys 300 identical articles a tota
cost of $1500. He sells 260 articles at a price
20% above the cost price Each of the remain
anicles is sold at a price that is 50% of the si
price of each of the 260 articles Express the
shopkeeper's profit as a percentage of his cost price?

Answer this Q. so that i will mark u as tge brainliest!​

Answers

Step-by-step explanation and answers:

300 articles at a total cost of $1500:

        $1500 / 300 = $5 / article

Sells 260 articles at a price 20% above this ^ price:

         20% of $5 is $1,   so $5 + $1 = $6

               Then he sells 260 articles at the price of ^ $6

               260 * $6 = $1560

Each of the remaining articles is sold at a price that's 50% of the 260 he sold.

         He sold those for $6,  so he would now sell the last 40 for $3

               From the remaining 40 articles, he makes 40 * $3, or $120

The shopkeeper made $1560 + $120 = $1680,  which is $180 more than he bought them for ($1500)

Therefore, he made a profit percentage of $180 / $1500,  (the amount of profit over the amount spent).

He made a profit percentage, compared to the cost price, of 12%.

For each set of probabilities, determine whether the events A and B are independent or dependent.

Answers

Answer:

[tex]\fbox{\begin{minipage}{15em}a, d: A and B are not independent\\b, c: A and B are independent\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Apply the correct formula to check whether two events are independent or not

If the events A and B are independent, then:

P(A) x P(B) = P(A⋂B)

The formula of conditional probability:

P(A⋂B) = P(A|B) x P(B) = P(B|A) x P(A)

Step 2: Perform the calculation

a)

P(A) x P(B) = (1/6) x (1/4) = 1/24

P(A⋂B) = P(A|B) x P(B) = (1/5) x (1/6) = 1/30

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

b)

P(A) x P(B) = (1/2) x (1/4) = 1/8

P(A⋂B) = 1/8

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

c)

P(A) x P(B) = (1/2) x (1/6) = 1/12

P(A⋂B) = P(A|B) x P(B) = (1/2) x (1/6) = 1/12

=> P(A) x P(B) is equal to P(A⋂B)

=> A and B are independent.

d)

P(A) x P(B) = (1/3) x (1/6) = 1/18

P(A⋂B) = P(B|A) x P(A) = (1/2) x (1/3) = 1/6

=> P(A) x P(B) is not equal to P(A⋂B)

=> A and B are not independent.

Hope this helps!

:)

what is the length of BC?please help!!!

Answers

Answer:

2.1

Step-by-step explanation:

using cosine theorem or substraction of two vector

b = AC = 5

c = AB = 6

a² = b² + c² - 2bc cos A

a² = 5² + 6² - 2*5*6 cos 20°

a² = 4.62

a = √4.62

a = 2.149

a ≈ 2.1

Need it for grade: What is X???

Answers

Answer:

x=6

Step-by-step explanation:

FG + GH = FH

4+x-3 = 2x-5

Combine terms

x+1 = 2x-5

Subtract x from each side

x+1-x = 2x-5-x

1 = x-5

Add 5 to each side

1+5 = x-5+5

6 =x

Answer:

x=6

Step-by-step explanation:

F G + G H = F H

4+x-3 = 2x-5

Mark is making concrete. Concrete is made by mixing cement, sand and gravel in the ratio 1:2:3. Mark wants to make 600kg of concrete. How much sand does Mark need

Answers

Answer:

200 kg

Step-by-step explanation:

To satisfy the ratio 1:2:3, Mark must use 100 kg cement, 200 kg sand, and 300 kg gravel

Answer:

6 kg

Step-by-step explanation:

if f(x) is a linear function and the domain of f(x) is the set of all real number which statement cannot be true?

Answers

Options:

The graph of f(x) has zero x-intercepts. The graph of f(x) has exactly one x-intercept. The graph of f(x) has exactly two x-intercepts. The graph of f(x) has infinitely many x-intercepts.

Answer:

(C)The graph of f(x) has exactly two x-intercepts.

Step-by-step explanation:

Given a linear function f(x)=ax+b where the domain of f(x) is the set of all real numbers, x.

(A)If f(x)=y, the graph of f(x) will have zero x-intercepts except at y=0 which is the equation of the x-axis.

(B)A linear function can only intersect the x-axis at exactly one point.

(D)When the linear function is f(x)=0, all points of x are x-intercepts of f(x). Therefore f(x) will have infinitely many x-intercepts at this point.

However:

A straight line cannot intersect the x-axis twice, therefore the graph of f(x) cannot have two x-intercepts.

The statement which cannot be true is Option C.

Answer:

C

Step-by-step explanation:

yes

What is the measure of the angle formed by a side of the given angle and the given angle's bisector? 30° 52° 172° 171°30'

Answers

Answer:

30°=15° 52°=26° 172°=86° 171'30°=85.75°

Step-by-step explanation:

okay so re-reading over the question, and analyzing what the question wants us to answer, you will then realize that the way to get the answer is to divide x by 2.

our x examples, in this case, would be 30°,52°,172°, and 171'30°.

and that's how you find the answer to this type of question. :)))

Which number sentence below matches this word problem? Grandma's house is 12 miles away. Aunt Millie's house is only 9 miles away. How much farther is Grandma's house than Aunt Millie's?

Answers

Answer:12-9=3

Step-by-step explanation: I mean like the grandma house is 12 mile from your house and the Aunt is 9 mil from your house so th numbe sentence would be 12-9

Ian has 20 football cards, and Jason has 44 baseball cards. They agree to trade such that jason
gives Ian 2 baseball cards for every card Ian gives to Jason. After how many such trades will Ian
and Jason each have an equal number of cards?

Answers

Answer:

12 trades

Step-by-step explanation:

Let's call 'x' the number of trades they will do.

After each trade, the number of cards Ian has increase by 1 (he gives 1 but receives 2), and the number of cards Jason has decrease by 1 (he receives 1 but gives 2), so after x trades, the number of cards Ian has is 20 + x, and Jason has 44 - x.

To find the number of trades when they will have the same amount of cards, we have that:

20 + x = 44 - x

2x = 24

x = 12 trades

The number of trades will Ian  and Jason each have an equal number of cards is 12 trades

The calculation is as follows;

Let's us assume the x' be the number of trades they will do.

 

20 + x = 44 - x

2x = 24

x = 12 trades

Learn more: brainly.com/question/16911495

An urn contains 7 pink and 5 black balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all 4 balls drawn from the urn are pink? Round your answer to three decimal places.

Answers

Answer:

.116

Step-by-step explanation:

7 pink and 5 black balls. = 12 balls

P( pink) = pink balls/ total = 7/12

replace

P( pink) = pink balls/ total = 7/12

so  this is true for each case

P( pink, pink, pink, pink) = 7/12*7/12*7/12*7/12 = 2401/20736

                                        =.115788966

To 3 decimal places

.116

Find the gradient of the line segment between the points (-5,-2) and (-3,-8)

Answers

Answer:

- 3

Step-by-step explanation:

Calculate the gradient (slope) m using the slope formula

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

with (x₁, y₁ ) = (- 5, - 2) and (x₂, y₂ ) = (- 3, - 8)

m = [tex]\frac{-8-(-2)}{-3-(-5)}[/tex] = [tex]\frac{-8+2}{-3+5}[/tex] = [tex]\frac{-6}{2}[/tex] = - 3

[tex]S= \frac{n}{2} [2a + (n - 1)d][/tex]
Make d the subject of the formula. Please help I need answer ASAP. ​Please help!!!!!!!!!!!!

Answers

Answer:

d = [tex]\frac{2S-2an}{n(n-1)}[/tex]

Step-by-step explanation:

Given

S = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]

Multiply both sides by 2 to clear the fraction

2S = n [ 2a + (n - 1)d ] ← distribute the bracket by n

2S = 2an + n(n - 1)d ( subtract 2an from both sides )

2S - 2an = n(n - 1)d ← divide both sides by n(n - 1)

[tex]\frac{2S-2an}{n(n-1)}[/tex] = d

Answer:

Hope this helps:)

If so please mark me as Brainliest.

Solve for x.
8(x + 1) - 31x + 4) = 7(2 - x)

Answers

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

I need help with this question

Answers

Answer:

15

[tex] \\ [/tex]

Step-by-step explanation:

[tex] = \sqrt{ {12}^{2} + {9}^{2} } \\ = \sqrt{144 + 81} \\ = \sqrt{225} \\ = 15[/tex]

Answer:

the missing side of the triangle is of length 15

Step-by-step explanation:

This problem is asking to find the hypotenuse (longest side) of a right angle triangle, so we can use the Pythagorean theorem, which tells us that the square of the hypotenuse in a right angle triangle equals the addition of the squares of the legs of the triangle (in our case 9 and 12).

We can then find the length of the hypotenuse applying the square root on both sides:

[tex]hyp^2=leg_1^2+leg_2^2\\hyp^2=9^2+12^2\\hyp^2=81+144\\hyp^2=225\\hyp=\sqrt{225} \\hyp=15[/tex]

What is the following product? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0

StartRoot 5 x Superscript 8 Baseline y squared EndRoot times StartRoot 10 x cubed EndRoot times StartRoot 12 y EndRoot
3 x Superscript 5 Baseline y StartRoot 3 x y EndRoot
10 x Superscript 5 Baseline y StartRoot 6 x y EndRoot
3 x cubed y StartRoot 3 x squared y squared EndRoot
10 x cubed y StartRoot 6 x squared y squared EndRoot

Answers

[tex]answer \\ = 10 {x}^{5} y \sqrt{6xy} \\ please \: see \: the \: attached \: picture \: for \\ full \: solution \\ hope \: it \: helps[/tex]

The product of the given expression is;

B: 10x^(5) • y√(6xy)

Laws of Exponents

We are given the expression;

√(5x^(8) • y²) × √(10x³) × √(12y)

Now, according to laws of exponents, we know that; √(a⁴) × √(b³) = √(a⁴ × b³)

Thus, our given expression will be;

√(5x^(8) • y²) × √(10x³) × √(12y) = √[(5x^(8) • y²) × (10x³) × (12y)]

Collecting like terms, we will have;

√[(5x^(8) × 10x³) × (y² × 12y)]

This now gives;

√(50x¹¹ × 12y³)

>> √(600x¹¹y³)

Now, further break down of this gives;

10x^(5) • y√(6xy)

Read more about Laws of exponents at; https://brainly.com/question/11761858

2y/5y cube + 4y square + 6y

Answers

Answer:

here down is the answer

(2y/5y)^3+4y^2+6y

8y^3/125y^3 +16y^2+6y

8/125+16y^2+6y

8/125+16y^2+6y=0

16y^2+6y+8/125=0

it is in the form of quadratic equation

formula :

x=(-b+-square root of b^2-4ac) /2a

here a=16,b=6&c=8/125

x=(-b+-square root of b^2-4ac)/2a

x=(-6+-square root of 36-4.09)/2a here 4.09 came by calculation

x=(-6+-31.91)/2

so

x=(-6+31.91)/2 first (+);

x=25.91/2

x=12.955;

x=(-6-31.91)/2 then(-);

x=-37.91/2

x=-18.955 ;

ans is = 12.955&-18.955;

A number is chosen at random from the set of two digits numbers from 10 to 99 inclusive. what is the probability the number contains at least one digits 2?.​

Answers

Answer:

[tex]\frac{1}{5}[/tex]

Step-by-step explanation:

There are 99 - 10 + 1 = 90 numbers between 10 and 99

There are 18 numbers that have at least one two digit.

[tex]\frac{18}{90}=\frac{1}{5}[/tex]

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(Enter your answer in dollars, not millions of dollars, e.g., 1,234,567.) How do streams relate to erosion? Streams can produce water erosion to break apart rocks. Streams relocate all rocks to the bottom. Streams relocate all rocks into the oceans. Streams can produce wind erosion to break apart rocks. bc cc ex were deee zss nd u Candace is wanting to be sure that she is doing what she can to prevent the spread of disease. Which of the following should she sure to do? 21.A sensao de fraqueza de Andrew, segundo ele, era apenas imaginria. Tinha se recuperado da operao. Mesmo assim encostou-se, da maneira mais discreta possvel, na parede. Se sentasse, no poderia dissimular.--- O voto decisivo ser essa semana, Andrew --- disse Li-hsing --- No consegui continuar adiando por mais tempo, e certo que vamos perder. Depois disso no tem mais condies, Andrew.--- Me sinto muito grato pela tua habilidade em me protelar. Me deu o prazo que precisava e me arrisquei a fazer o que queria.--- Que risco foi esse? --- perguntou Li-hsing, j francamente preocupada.--- No podia contar a voc nem ao pessoal da Feingold & Martin. Tinha certeza de que no iriam consentir. Veja s, se o que est em jogo o crebro, tudo no se resume numa questo de imortalidade? Ningum liga a menor importncia para o aspecto, a origem ou modo de fazer um crebro. O que importa que as clulas do crebro humano morrem, tem de morrer. Mesmo que todos os outros rgos do corpo se conservem ou sejam substitudos, as clulas cerebrais, que no podem ser trocadas sem modificar e, portanto, matar a personalidade, com o tempo acabam morrendo.''O meu prprio comportamento positrnico j durou quase dois seculos sem nenhuma modificao perceptvel e capaz de durar muito mais ainda. No essa a objeo fundamental? A humanidade pode tolerar um rob imortal, porque pouco importa quanto tempo a mquina dure, mas no pode tolerar um homem imortal uma vez que a prpria mortalidade s sustentvel na medida em que for geral. E uma vez que a prpria mortalidade s sustentvel na medida em que for geral. E por esse motivo no concordam com minha exigncia de me tornar humano.''--- Aonde que voc quer chegar, Andrew? --- perguntou Li-hsing.--- Acabei com esse problema. Dcadas atrs o meu crebro positrnico foi ligado a nervos orgnicos. Agora, uma ltima operao conseguiu dar um jeito para que essa ligao, aos poucos, paulatinamente, perdesse esse potencial do meu comportamento. [...] --- Andrew, isso no vai dar certo! Troca de novo.--- Impossvel. Os danos foram enormes. Tenho um ano para viver, mais ou menos. Vou sobreviver at festejar meu bicentenrio. No tive foras para protestar contra essa condio. [...](TRECHO DO LIVRO O HOMEM BICENTENRIO)1 - Releia o capitulo 21, o trecho entre o terceiro e o sexto pargrafos. a) Indique a expresso desse trecho que revela que o texto de fico cientifica.b) Procure no restante do texto outras expresses que se relacionam fico cientfica e cite-as.c) O uso dessas expresses auxiliou voc a se ambientar na realidade criada pela narrativa? Por qu?