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bija089 [108]
2 years ago
14

What is the probability of rolling a number greater than or equal to 9 with the sum of two dice, given that at least one of the

dice must show a 6? A. 4/11 B. 7/11 C. 2/11 or D. 9/11
Mathematics
1 answer:
olga55 [171]2 years ago
6 0
Conditional probablility P(A/B) = P(A and B) / P(B). Here, A is sum of two dice being greater than or equal to 9 and B is at least one of the dice showing 6. Number of ways two dice faces can sum up to 9 = (3, 6), (4, 5), (4, 6), (5, 4), (5, 5), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 10 ways. Number of ways that at least one of the dice must show 6 = (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (6, 6), (6, 5), (6, 4), (6, 3), (6, 2), (6, 1) = 11 ways. Number of ways of rolling a number greater than or equal to 9 and at least one of the dice showing 6 = (3, 6), (4, 6), (5, 6), (6, 3), (6, 4), (6, 5), (6, 6) = 7 ways. Probability of rolling a number greater than or equal to 9 given that at least one of the dice must show a 6 = 7 / 11
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The matrix 1 2 4(0 1 6/7 is being used to solve a system of equations. The solution to the system is
loris [4]
| 1 2 ||x| = |4| - | 3 -1 ||y| |6| <span>-3 | 1 2||x| = |4| </span>
<span>| 3 -1||y| |6| </span>

<span>|-3 -6||x| = |-12| </span>
<span>| 3 -1||y| |6 | </span>


<span>| 0 -7 ||x| = | -6 | </span>
<span>| 3 -1 ||y| | 6 | </span>

<span>y = 6/7 </span>

<span>x = 16/7</span>
5 0
3 years ago
Courtney had $55 to spend at the fair. She paid $22.50 for rides and $14.25 for lunch and snacks. Courtney says she has $18.25 l
IrinaVladis [17]
She has $55. She spent $22.50 on rides so now she has $32.50 . Then she spends $14.25 on lunch and snack so now she has $18.25.


A. would be wrong because Courtney IS correct, she has $18.25 left.

C. is also wrong because, again, Courtney IS correct.

So the only option left is B and it explains why Courtney is correct.

Option B is the correct answer.

Hope this helps.

4 0
3 years ago
Could you please help me on question 5
morpeh [17]
Question plz thxs 
your welcome
7 0
3 years ago
Need help with this question
AleksAgata [21]

First, let's find the slope of the line using the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

((x_1, y_1) and (x_2, y_2) are points on the line)


In context of this problem, we can use the formula to find the slope of the line between the two points:

m = \dfrac{-2 -6}{7 - (-1)} = \dfrac{-8}{8} = -1


Now, we can use the slope in the point-slope formula, which will help us find the final equation of the line. (For reference, the point-slope formula is (y - y_1) = m(x - x_1) where (x_1, y_1) is a point on the line)


In the context of the problem, we could use the formula to find the equation of the line:

(y - 6) = -1(x + 1)

(y - 6) = -x - 1

\boxed{y = -x + 5}


The equation of the line is y = -x + 5.

4 0
3 years ago
Solve the inequality- x+18 ≥ 8x+4 or 15x-15 ≤ 15x+5<br><br> I give Brainliest!
r-ruslan [8.4K]

Answer:

x ≥ 2

0 ≤ 20 (not quite sure if the question is right)

Step-by-step explanation:

x+18 ≥ 8x+4

x - 8x ≥ 4 - 18

-7x ≥ -14

x ≥ \frac{-14}{-7}

x ≥ 2

________________

15x-15 ≤ 15x+5

15x - 15x ≤ 5 + 15

0 ≤ 20

(I don't think this is the right question...cuz theres a 0)

6 0
2 years ago
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