The answer is 400
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Answer:
The probability of rolling a 3 and then a 5 is 1/36.
Step-by-step explanation:
Rolling a six sided die is an independent event. That means for each roll, you have the same chance of rolling a number as the previous roll. Since there are six different numbers on a die, then there are six different outcomes for each roll - 1, 2, 3, 4, 5 or 6. The chances that you would roll a '3' is 1 out of 6, or 1/6. The chances that you would roll a '5' is also 1 out of 6, or 1/5. However, when we combine these events, we need to take each probability and multiply them. So, the probability of rolling a '3' and then a '5' is 1/6 x 1/6 or 1/36.
Answer:
square roots
quadratic formula
factoring
complete the square
Step-by-step explanation:
1. In the first one, we can divide both sides by -2 and then square root it, getting x^2 = -98 so x = 7i \sqrt(2).
2. We can use the quadratic formula to find out the second one.
3. We can factor 4x^2 - 21x - 18 = 0 and get (x + 6)(4x - 3).
4. In the last one, we can complete the square, getting (x + 9)^2 + 16.
Given x = hypothenuse
10.8 = opposite
Degree = 57
You can use Sine (O/H)
Sin(57) = 10.8/x
0.8386705679 = 10.8/x
10.8 = 0.8386705679x
x = 10.8/0.836705679
x = 12.90776467 (round to tenth)
Solution: x = 12.9