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Marrrta [24]
3 years ago
8

Two dice are numbered 1,2,3,4,5,6 and 1,1,2,2,3,3 respectively. They are rolled and

Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

P(2) = 1/18

P(3) = 1/9

P(4) = 1/6

P(5) = 1/6

P(6) = 1/6

P(7) = 1/6

P(8) = 1/9

P(9) = 1/18

Step-by-step explanation:

Each die has six possible outcomes, so both dice together have 6*6 = 36 outcomes:

(1,1), (1,1), (1,2), (1,2), (1,3), (1,3),

(2,1), (2,1), (2,2), (2,2), (2,3), (2,3),

(3,1), (3,1), (3,2), (3,2), (3,3), (3,3),

(4,1), (4,1), (4,2), (4,2), (4,3), (4,3),

(5,1), (5,1), (5,2), (5,2), (5,3), (5,3),

(6,1), (6,1), (6,2), (6,2), (6,3), (6,3).

The sum of the values for each outcome is:

2, 2, 3, 3, 4, 4,

3, 3, 4, 4, 5, 5,

4, 4, 5, 5, 6, 6,

5, 5, 6, 6, 7, 7,

6, 6, 7, 7, 8, 8,

7, 7, 8, 8, 9, 9.

To find the probability of each sum, we just need to divide the number of times this sum appears over the total number of possibilities (36), so we have:

P(2) = 2/36 = 1/18

P(3) = 4/36 = 1/9

P(4) = 6/36 = 1/6

P(5) = 6/36 = 1/6

P(6) = 6/36 = 1/6

P(7) = 6/36 = 1/6

P(8) = 4/36 = 1/9

P(9) = 2/36 = 1/18

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1/5n -3/4 + 7/10n<br><br> Need to simplify
svlad2 [7]
·1/5n becomes 4/20n
·Leave 3/4 alone
·7/10n becomes 14/20n
·Combine like terms: 14/20n + 4/20n = 18/20n
·Simplify 18/20 to 9/10
·Final Answer : 9/10 - 3/4

Hope this helps you out in future problems!
6 0
3 years ago
Solve the problem.
zmey [24]

Answer:

the percent of increase is 24%

Step-by-step explanation:

The percent of increase in general could be calculate as:

\frac{Vf - Vi}{Vi} *100

where Vf is final value and Vi is initial value.

From the question we know that Vi is equal to 25 and Vf is equal to 31. Replacing this values on the equation we get:

\frac{31-25}{25} *100=24%

That's mean that at second attempt the percent of increase is 24%, taking into account that at the first attempt a student get 25 questions correct.

6 0
3 years ago
The expression (n^14)(n^3) is equivalent to n^x<br> What is the value of x
Andre45 [30]

Answer:

17

Step-by-step explanation:

add the exponents

7 0
3 years ago
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One day is about 0.00274 years. How is this expressed in scientific notation?
Verdich [7]

Answer: C

Step-by-step explanation:

3 0
3 years ago
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vodomira [7]
Contradictions usually mean they go against established rules. Squaring a negative number is one example if it is in math. But just think of anything that goes against what is known.  
3 0
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