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Wewaii [24]
3 years ago
12

What is the probability of rolling a sum of 8 on a standard pair of six-sided dice? express your answer as a fraction or a decim

al number rounded to three decimal places, if necessary?
Mathematics
1 answer:
maxonik [38]3 years ago
7 0
First lets see how many combinations there are that make 8 from the numbers 1-6:

2+6
3+5
4+4
5+3
and 6+2. 

Note: the order does matter, because you roll two die. This means the first die has a number and the second die also has a number. 2 on 1st dice and 6 on 2nd dice would be a different combination than 2 on 2nd dice and 6 on 1st dice.

Now we calculate the probability of getting a number 2 through 6 on the first dice: which is 5/6.

Then calculate the probability of getting a number that pairs up with the first number to make 8: *Note: once you get a number 2 through 6, there is only one other number that you can roll to make 8. This means the probability of getting a match would be 1/6 on the 2nd dice.

Finally, multiply the two fractions we got earlier: 5/6 x 1/6 = 5/36

Your probability would be 5/36 in fraction form, 13.89% in percent form, or 0.139 in decimal form rounded 3 places.

Hope this helps, and May the Force Be With You!

-Jabba the Hut
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A particle moves on a line away from its initial position so that after t hours it is s = 2t^2 +3t miles from its initial positi
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Answer:

Average speed of the particle is 13 miles per hour.

Step-by-step explanation:

From the given question expression for distance traveled by the particle is

s=2t^{2}+3t

Then fro the time interval (1, 4) we have to calculate the average speed.

At t=1, s=2(1)²+3(1) =2+3 =5 miles

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4 0
3 years ago
PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!
Alenkasestr [34]

Answer:

A = -10

Step-by-step explanation:

x^2 + 10x + 24 = 0

To find the roots, we need to factor the equation.

What 2 numbers multiply to 24 and add to 10

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Using the zero product property

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x = -6   x = -4

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