If two fair dice are rolled, find the probability that the sum of the dice is 9, given that the sum is greater than 5.
The probability is

Answers

Answer 1
Answer:  2/13

=====================================================

Explanation:

Refer to the dice chart below. It represents all possible ways to roll two dice and sum up the face values.

According to the table, there are...

A = 1 copy of the sum "2"B = 2 copies of the sum "3"C = 3 copies of the sum "4"D = 4 copies of the sum "5"

There are A+B+C+D = 1+2+3+4 = 10 instances where we get a sum between 2 and 5. The table shows 6*6 = 36 sums total. This means there are 36-10 = 26 sums where they are between 6 and 12, aka "the sum being greater than 5".

Those 26 sums are what we focus on. Out of those 26 items, four of them are sums of "9".

The probability we want is therefore 4/26 = 2/13

If Two Fair Dice Are Rolled, Find The Probability That The Sum Of The Dice Is 9, Given That The Sum Is
Answer 2

The probability that the sum of the dice is 9, given that the sum is greater than 5 is 0.154

See attachment for the sample space of a roll of two dice.

From the attached sample space,

The number of sum greater than 5 is: 26The number of sum greater than 5 that is 9 is: 6

Represent the events that a sum is greater than 5 with A, and a sum is greater than 5 is 9 with B.

So, we have:

[tex]n(A) = 26[/tex]

[tex]n(A\ n\ B) = 4[/tex]

The probability that the sum of the dice is 9, given that the sum is greater than 5 is then calculated using:

[tex]Pr = \frac{n(A\ n\ B)}{n(A)}[/tex]

This gives

[tex]Pr = \frac{4}{26}[/tex]

[tex]Pr = 0.154[/tex]

Hence, the probability is 0.154

Read more about probability at:

https://brainly.com/question/251701

If Two Fair Dice Are Rolled, Find The Probability That The Sum Of The Dice Is 9, Given That The Sum Is

Related Questions


Richard and Teo have a combined age of 36 Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)

Answers

Answer:

Richard is twenty-six and Teo is ten.

Step-by-step explanation:

Let x = Richard's age and y = Teo's age

x = 2y + 6

(2y + 6) + y = 36

3y + 6 = 36

-6            -6

3y = 30

y = 10

x = 2(10) + 6

x = 20 + 6

x = 26

Richard is 26

Teo is 10

Use the commutative property to simplify the expression 1/8 x 2/5 x 16?

A. 16 x 1/8 x 2/5 = 2x 2/5 = 4/5
B. 2/5 x 1/8 x 16 = 2/40 x 16 = 3/4
C. (1/8 + 2/5) x 16 + 32/5
D. 1/8 x (2/5 x 16) = 2/5

Answers

The correct answer is A

what is the area of the triangle?

Answers

Answer:
The second one (B) I think hope this is correct! Have a good day! :) or night

Estimate the quotient for 608 divided by 23

Answers

Answer:

18

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

When estimating we round to the nearest 1.s.f

Thus...

608 rounded to the nearest 1sf

= 600

and....

23 rounded to the nearest 1sf

=20

Therefore- 600÷ 20 = 30

Hope this helped you- have a good day bro cya)

Keisha is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $100 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?

Answers

Answer:

The mileages for which company A charge less than company B when , y  50 .

Step-by-step explanation:

Given as :

The two truck companies have following prices

Company A

The initial fee = i = $110

And unlimited mileage

Company B

The initial fee = I = $65

Additional charge = $0.90 per mile driven

Let it driven x mile

Let The mileages for which company A charge less than company B = y

Now, According to question

Charges of company A = charges of company B

i.e i = I + 0.90 × x

Or, $110 = $65 + 0.90 × x

Or, $110 - $65 = 0.90 × x

Or, $45 = 0.90 × x

∴    x =  

i.e  x = 50

i.e.  Company B driven x = 50 miles

So, the mileages for which company A charge less than company B = y

And y x

i.e. y 50

Hence, The mileages for which company A charge less than company B when, y 50. Answer

Step-by-step explanation:

Hope this helps:)

Brooklyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 5 hours at the grocery store and 11 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?

Answers

Answer:

~$331 - *16 hours

Step-by-step explanation:

~ $20x5=$100

~ $21x11=$231

~ $231+$100=$331

* 5+11=16

3. Put your straightedge along this line. Draw this line as long as you can.
Why can't you make it longer?

Answers

The answer is 26 trust me I will be ur friend

Line l is a reflection in the x-axis of line k. Write an equation that represents line k.

Answers

Answer:

(-4,3)

Step-by-step explanation:

nejsjsjssjsususheheueueyeehejebebe

Answer: y = (5/3)x + -1

Step-by-step explanation:

The slope is -5/3, so since its a reflection in the x - axis, the new slope would be the opposite, 5/3. Now for the +1, you just have to find the y intercept by plotting the dots at the opposite version of the y number that is already there. For example because the point (0,1) has 1 as its y number, you make it into -1, and for example if you have the point (3,-4) since -4 is the y number you change it to 4.

Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,

Answers

Answer:

[tex]a_n=-1+(n-1)(-2)[/tex]

Step-by-step explanation:

The arithmetic sequence formula looks like this:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.

Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:

[tex]a_n=-1+(n-1)(-2)[/tex]

Just to confirm:

[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]

And it works, -5 is the 3rd term in the sequence.

Answer:

[tex]a_{n}[/tex] = 1 - 2n

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then

[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n

Given f(x) = 2x - 5 , find the average rate of change of f(x) from x = 2 to x = 5?

Answers

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)=2x - 5 \quad \begin{cases} x_1=2\\ x_2=5 \end{cases}\implies \cfrac{f(5)-f(2)}{5-2}\implies \cfrac{[2(5)-5]~~ - ~~[2(2)-5]}{3} \\\\\\ \cfrac{5-(-1)}{3}\implies \cfrac{5+1}{3}\implies 2[/tex]

Write the prime factorization of 185.​

Answers

Answer:

5 ⋅ 37

Step-by-step explanation:

185 has factors of 5 and 37.

Answer:

Step-by-step explanation:

All Factors of 185: 1, 5, 37 and 185.

Negative Factors of 185: -1, -5, -37 and -185.

Prime Factors of 185: 5, 37.

Prime Factorization of 185: 5^1× 37^1

Sum of Factors of 185: 228.

Which equation is linear? y=x4 y=xy –x3 ОООС f(x) = 3х + 1 y=xУ​

Answers

Answer:

f(x) = 3х + 1

Step-by-step explanation:

Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?

I WILL MARK YOU A BRAINLIEST​

Answers

Answer:

25-10  (25 - A and 10 - B)

Step-by-step explanation:

25 - 10 equals the 15 point margin

25 plus 10 equals the 35 point score combined

Hope it helps

THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE TO THE NEAREST DEGREE.

Answers

Answer:

1

Step-by-step explanation:

Can someone help with question #4 please

Answers

Answer:

4,0 is the right ok I am a professor

help me plz im desperate

Answers

Answer:

B) y = 2x - 3

Step-by-step explanation:

We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.

For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).

So, that's our answer. If you need more help, let me know! :)

Answer: B

Step-by-step explanation:

The slope is 2 as it shown rise (2) over run (1)

Y-intercept is -3

Angel invests money in an account paying simple interest. He invests $110 and no money is added or removed from the investment. After one year, he has $115.50. What is the simple percent interest per year?

Answers

Answer:

5%

Step-by-step explanation:

First let's find the interest,

$ 115.50 - $ 110

= $ 5.5

Now let's use this formula to find the simple percent interest.

Simple interest =  P × r × t / 100

Here,

P = Principle

r = rate

t = time

Let us find now.

[tex]5.5 =\frac{P *r*t}{100} \\5.5 = \frac{110*r *1}{100} \\550=110r\\\frac{550}{110} =\frac{110r}{110} \\5=r[/tex]

Therefore, the percentage is 5%

Hope this helps you.

Let me know if you have any other questions :-)

Violet is playing a board game with her friends. She earned 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve the equation for b.

Answers

Answer:

78 + B = 91...

91 - 78 = B

91 - 78 = 13

B = 13

Step-by-step explanation:

In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize

Answers

Answer:

Let X be other interior opposite angle of a △XYZ.

Let Y be the third angle.

Exterior angle is equal to sum of interior opposite angles.

120

o

=30

o

+∠X

⇒∠X=90

o

Now, Sum of interior angles of a triangle is 180

o

⇒90

o

+30

o

+∠Y=180

o

⇒∠Y=180

o

−120

o

=60

o

Step-by-step explanation:

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Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.

Answers

Answer:

  13.05%

Step-by-step explanation:

The value of an ordinary annuity earning interest compounded annually is ...

  A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P

For this account, the balance after 5 years will be ...

  A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739

The sum of payments is ...

  payment total = 3000·5

Then the amount of interest is ...

  3000·(5.750739 -5) = 3000·0.750739

and the fraction that is of the account balance is ...

  (3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%

About 13.05% of the balance is interest earned.

7.
Identify the vertex of the parabola.



A. (1, 2)

B. (−2, −1)

C. (−1, −2)

D. (−3, 2)

Answers

Answer: I can't find the answer :(

B. (−2, −1)

Step-by-step explanation: I don't know :(

From when I am looking at the graph it looks like the answer would be

P= (-2, -1)

Q= (1, -2)

Original price of shorts $53.95 Discount 30% Tax 4.5?
Please help what’s the correct answer ???

Answers

Answer:

72.8325

Step-by-step explanation:

I think it is that

In the equation y ≈7x-9,if x≥2, then what is the value of y?​

Answers

Answer:

y[tex]\geq[/tex]5

Step-by-step explanation:

7(2)-9

14-9

5

y[tex]\geq[/tex]5

If x−3=5, what is the value of 2(x+4)?

Answers

Answer:

24

Step-by-step explanation:

x-3=5, solve for x so that x=5+3

now put this in place of x in the expression 2(x+4)

2[(5+3)+4]

2(8+4)

2(12)

24

We have x - 3 = 5 => x = 8
So 2(x+4) = 2(8+4) = 2. 12 = 24

Ok done. Thank to me:>

Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35 find the cost of the tie

Answers

Using linear system of equations, the cost tie is £7.43.

Linear equations -

In everyday life, we can utilize linear equations to compare prices, make predictions, create budgets, and more. When all of the variables have a highest power of one, an equation is considered to be linear. Each variable is reliant on the others. A one-degree equation is another name for this kind of equation. Continue reading to learn how to solve a linear equation in one or two variables using its standard form, formula, graph, and rules.

Given,

Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35,

According to question,

let cost of shirt = x

cost of tie = y

Now putting it in the equation,

13x + 22y = 363.01

given x = 15.35

⇒ y = 363.01 - 13(15.35) / 22

y = 363.01 - 199.55 / 22

y = 7.43

To learn more about linear system of equations from given link

https://brainly.com/question/25858757

#SPJ1

A calculator is selling for $80 with an 8.5% tax. How much will you pay in tax for the calculator?

Answers

Answer:

$86.80

Step-by-step explanation:

A shirt that normally cost $30 is on sale for $21.75 what percent of the regular price is the sale price

Answers

Answer: 72.5%

Step-by-step explanation:

I used trial and error to figure this out.

I first found a quarter of 30 which is 7.5, so the percentage is near 75% since when 7.5 is times by 3 it becomes 22.5 which is close. Then I found what one is by dividing 30 by 100 and guessed the percentages getting closer to the answer basing on whether my last answer was to low or high and found 72.5% of 30 is 21.75 so the answer is 72.5%.

Pls sove brailest will be given

Answers

Answer:  6a3b3

Step-by-step explanation:

Reformatting the input:

Changes made to your input should not affect the solution:

(1): "0.6" was replaced by "(6/10)".

STEP 1:

Equation at the end of step 1

       6

 0-(((——•(a2))•b)•(0-(2•5ab2)))

      10

STEP 2:

           3

Simplify   —

           5

Equation at the end of step 2:

         3

 0 -  (((— • a2) • b) • ( -2•5ab2))

         5

STEP 3:

Equation at the end of step 3

        3a2

 0 -  ((——— • b) • ( -2•5ab2))

         5

STEP 4:

Multiplying exponential expressions :

4.1    a2 multiplied by a1 = a(2 + 1) = a3

Multiplying exponential expressions :

4.2    b1 multiplied by b2 = b(1 + 2) = b3

Canceling Out:

4.3      Canceling out  5  as it appears on both sides of the fraction line

Equation at the end of step 4:

 0 -  -6a3b3

STEP 5:

Final result :

 6a3b3

A principal is choosing between two field trips. The first cost $240 plus $40 per student. The second costs $600. For what number of students is the first trip more expensive than the second?

Answers

Answer:

If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.

Step-by-step explanation:

240 + 40x = 600

- 240           -240

40x = 360

40x/40 = 360/40

x = 9 students

Use the following function rule to find f(3) f(x)=3(4)^x+2

Answers

Answer:

3f×16=36

Step-by-step explanation:

f(x)=2x×fx

(substitute

=3f×16

=36f

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