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SVEN [57.7K]
3 years ago
6

Two 6-sided dice are rolled. what is the probability that the sum of the two numbers on the dice will be greater than 9?

Mathematics
1 answer:
AVprozaik [17]3 years ago
3 0
What combination of numbers are needed in order to get a sum of 9?
        It can be:
             •  First die is 6 , second die is 3 
             •  First die is 3 , second die is 6
             •  First die is 4 , second die is 5
             •  First die is 5 , second die is 4

How many possible combinations are made? Yep, 4 possible combinations.

Recall the formula for probability
       Probability =   \frac{Number of desired outcomes}{Number of all possible outcomes}

There are 4 desired number of outcomes.
How about the total possible outcomes?
     • How many numbers are possible to appear when the first die is rolled?
        Answer: 6
     • What about the second die?
        Answer: Also 6
     • Therefore, total possible outcomes = 6 * 6 = 36 outcomes

You can now solve for the probability.

      Probability = \frac{4}{36} =  \frac{1}{9} or approximately 11.11%
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12 – 7x ≤-2 <br> solve and show work
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x≥2

Step-by-step explanation:

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Step 2: Subtract 12 from both sides.

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2 years ago
If f(x)=x and g(x) =2, what is (f•g)(x)
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3 years ago
Otto invests $1,000 at age 20. Otto wants theinvestment to be worth $4,000 by age 30. Ifinterest is compounded continuously, wha
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r\approx0.139

1) Since this is a Continuously Compounded operation in a 10 yrs period, then we can write out the following equation:

\begin{gathered} A=Pe^{rt} \\  \end{gathered}

2) Plugging into the equation the given data and since Otto is 20 yrs old and he plans to get $4,000 in ten years, we can write out:

\begin{gathered} 4000=1000e^{\mleft\{10r\mright\}} \\ \frac{4000}{1000}=\frac{1000e^{10r}}{1000} \\ 4=e^{10r} \\ \ln (4)=\ln (e)^{10r} \\ 10r=\ln (4) \\ r=\frac{\ln (4)}{10} \\ r=0.1386 \end{gathered}

3) Thus the rate Otto needs is

r=0.1386\approx0.139

Note that since the 0.1386 the six here is greater than 5 then we can round up to the next thousandth, in this case: 0.139. For the 0.1386 is closer to 0.139 (0.004) than to 0.138 (0.006).

Or 13.9%

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1 year ago
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