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timama [110]
3 years ago
6

17/18 - 8/9 equal out to

Mathematics
1 answer:
Nutka1998 [239]3 years ago
8 0
\frac{17}{18}-\frac{8}{9}=x
You must find a common denominator(bottom)
\frac{8}{9}×\frac{2}{2}=\frac{16}{18}
\frac{17}{18}-\frac{16}{18}=\frac{1}{18}
Your answer is x=\frac{1}{18}
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Lizzie rolls two dice. What is the probability that the sum of the dice is:
zhenek [66]

Answer:

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Step-by-step explanation:

Total outcomes possible: 36

A. Divisible by 3

Possible options are:

3, 6, 9 and 12.

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Possible outcomes for 9 are: {(3,6), (4,5), (5,4),(6,3)} Count 4

Possible outcomes for 12 are: {(6,6)} Count 1

Total count = 2 + 5 + 4 + 1 = 12

Probability of an event E can be formulated as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A)  = \dfrac{12}{36} = \dfrac{1}{3}

B. Less than 7:

Possible sum can be 2, 3, 4, 5, 6

Possible cases for sum 2: {(1,1)}  Count 1

Possible cases for sum 3: {(1,2), (2,1)}  Count 2

Possible cases for sum 4: {(1,3), (3,1), (2,2)}  Count 3

Possible cases for sum 5: {(1,4), (2,3), (3,2),(4,1)}  Count 4

Possible cases for sum 6: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

Total count = 1 + 2 + 3 + 4 + 5 = 15

P(B)  = \dfrac{15}{36} = \dfrac{5}{12}

C. Divisible by 3 and less than 7:

P(A \cap B) = \dfrac{n(A\cap B)}{\text{Total Possible outcomes}}

Here, common cases are:

Possible outcomes for 3 are: {(1,2), (2,1)} Count 2

Possible outcomes for 6 are: {(1,5), (2,4), (3,3), (5,1),(4,2)} Count 5

P(A \cap B) = \dfrac{7}{\text{36}}

5 0
3 years ago
I need to find the area
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4 0
2 years ago
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Ymorist [56]

Answer:

<em><u>5/18</u></em>

Step-by-step explanation

when you divide 5/6 by 3 you multiply 5/6 by 1/3 and you get 5/18!

I hope this helps!

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4 years ago
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Less than is subtraction so your answer to "six less than a number is 14" would be

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