Answer:
The proportion of piano prices higher than the electric piano is 98.3%
Step-by-step explanation:
The first thing to do here is to calculate the standard score of the price of the electric piano given.
Mathematically, this is
z-score = (x-mean)/SD
where mean is 3000 and SD is 200, x is 2576
z-score = (2576-3000)/200 = -2.12
Now we proceed to calculate the probability of this z-score
The probability we are trying to calculate is
P( x > $2576) or simply P ( z > -2.12)
Using standard score probability calculator or table, we have
P(x>2576) = 1 - P(x<2576)
But, P(x<2576) = 0.017003
P(x>2576) = 1 - P(x<2576) = 0.983
This is same as 98.3%
Step-by-step explanation:
This is actually a very old riddle, but it is two guards and two doors life death .
So let's apply the same logic to this one.
You only meet one villager and you don't know if he is one of the ones who only tells the truth or always lies, to answer this riddle, the question is actually to an hypothetical third party, another villager, not present, this is a little convoluted so bear with me:
(Pointing to one of the roads): If I asked another villager if this road would lead me to the ruins, would he be correct?
If the villager is a truth one, the true-villager, would tell you that the liar-villager would say no (thus leading you to the jungle).
- Let's analyze this one, so the villager always tells the truth, and you happen to be pointing to the right direction (ruins), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the right direction, a liar would tell you no, because the liar would point you to the other road as the correct (jungle), so the true-villager will say no
- If you happen to be pointing to the wrong direction (jungle), he is answering, that if you would ask another villager whether that is the correct road, that villager would say yes, since you are pointing at the wrong direction, the truth-villager would tell you no, because the liar would point you to the wrong road as the correct (jungle), so the villager will say no
Therefore, no matter what villager you run into, the question will always lead you to the jungle, and therefore you pick the other road.
Answer:
x=10.8
Step-by-step explanation:
9²+6²=c²
81+36=c²
117=c²
√117=10.81
x=10.81
