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Ad libitum [116K]
3 years ago
10

A standard pair of six-sided dice is rolled. What is the probability of rolling a sum less than 7? Express your answer as a frac

tion or a decimal number rounded to four decimal places.
Mathematics
1 answer:
zzz [600]3 years ago
8 0

Answer:

0.4167 is the probability of rolling a sum less than 7.  

Step-by-step explanation:

We are given the following in the question:

Event: A standard pair of six-sided dice is rolled

A: rolling a sum less than 7

Sample space:

{(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

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

A:

{(1,1),(1,2),(1,3),(1,4),(1,5),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(4,1),(4,2),(5,1)}

Formula:

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

P(A) = \dfrac{15}{36} = 0.4167

0.4167 is the probability of rolling a sum less than 7.

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Which ordered pair in the form (a,b) is a solution of the equation?
kondor19780726 [428]

Answer:

A. (6,0)

Step-by-step explanation:

4a- 5b = 24

Check each point to see if its is true

A. (6,0)

4(6) - 5(0) = 24

24 = 24

true

B. (-5, -2)

4(-5) -5(-2)= 24

-20 +10 = 24

-10 =24

False

C. (0,6)

4(0) -5(6) =24

-30 =24

False

D. (-2, -5)

4(-2) -5(-5)=24

-8+25=24

18=24

False

3 0
3 years ago
Sophia pays £222 for a plane ticket.
Maurinko [17]

9514 1404 393

Answer:

  24.6%

Step-by-step explanation:

The cost of the ticket in euros is ...

  £222 × €1.38/(£1) = €306.36

Then the ratio of the tax to the to the total cost is ...

  €100/(€306.36 +100) = 100/406.36 ≈ 24.6%

6 0
3 years ago
A store manager is accepting applications for part-time workers. he can hire no more than 14 people. so far,he has hired 9 peopl
Lorico [155]

The manager already hired 9 people. Let x be the number of people he still can hire. Since these people will add to the 9 he already hired, when the hiring campaign will be over he will have hired 9+x people. We know that he can't hire more than 14 people, so the number of people hired must be less than or equal to 14:

9+x \leq 14

If we subtract 9 from both sides, we have

x \leq 14-9=5

so, the manager can hire at most 5 other people

6 0
3 years ago
2) 45+ 17 = 62<br><br> 3) X + 5/6 = 7/16<br><br> 4) Y + 1/7 = 5/8
Montano1993 [528]

9514 1404 393

Answer:

  2) true

  3) X = -19/48

  4) Y = 27/56

Step-by-step explanation:

3) Subtract 5/6 from both sides

  X = 7/16 -5/6 = (7·6 -16·5)/(16·6) = (42 -80)/96

  X = -19/48

__

4) Subtract 1/7 from both sides

  Y = 5/8 -1/7 = (5·7 -8·1)/(8·7)

  Y = 27/56

6 0
3 years ago
If 7 less than 4 times a number is two more than that number, what is the result when the number is subtracted from 50?
Tasya [4]

Answer:

4x-7=x+2

3x=9

x=3

3-50=-47

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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