Answer:
i^16 = 1
Step-by-step explanation:
i = √-1 = i
i^2 = i * i = (√-1)^2 = -1
i^3 = i^2 * i^1 = -1 * √-1 = -√-1 or -i
i^4 = i^2 * i^2 = -1 * -1 = 1
the order keeps following......
i^16 = 1
since i^16 is same thing as i^4 * i^4
and we know i^4 = 1 so 1*1=1
20.7 degrees C
Step-by-step explanation:
Here's the easiest way to solve. Grab a calculator, or a piece of paper. (its simple math) SOOOO, The start is 19.4. Then, it rises 3.8. So add that to 19.4. That gives you 23.2, BuT, it falls again, back down 2.5 degrees. so take 23.2, and subtract 2.5 from it. That should give you 20.7 degrees.
Answer:
land on 3: 36 times
land on 4: 63 times
Step-by-step explanation:
A biased dice is the opposite of a fair dice.
A fair dice has the same probability of landing any of the six numbers: 1/6
The biased dice has different probabilities for its results.
To solve this question, first we need to find the probability of landing a 3.
The sum of all probabilities need to be 1, so:
0.13 + 0.05 + p(3) + 0.21 + 0.19 + 0.3 = 1
p(3) = 1 - 0.88 = 0.12
If we roll the dice 300 times, the expected number of times the dice will land:
on 3: 300 * p(3) = 300 * 0.12 = 36 times
on 4: 300 * p(4) = 300 * 0.21 = 63 times
You must first normalize this in order to use a Z-score table. To convert what you have into a Z score you must use this formula: (x- mean) /standard deviation. In your case (334-310)/12=2. So now you want the probability that a score is greater than 334, which in turn means you want P(Z>2)=1-P(Z<2)=1-.9772=0.0228=2.28%.
Answer: the shaded squares are equal to 0.3
