Larry fills his bathtub at a constant rate. The amount of water in his tub is proportional to the amount of time he spends filli
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ANSWER:
d. (−4, 10)
STEP-BY-STEP EXPLANATION:
The midpoint has the following definition:
We can calculate point B, using the following equations obtained taking into account the above:
The correct answer is: d. (−4, 10)
Answer:
a) No, because the probabilities of winning the 2nd game are dependant on the result of the 1st game. The probabilities are different if you win or lose the first game.
b) P=0.42
c) P=0.08
d)
X | P(X)
------------------
0 | 0.42
1 | 0.50
2 | 0.08
e) E(x)=0.66
s.d.=0.62
Step-by-step explanation:
a) No, because the probabilities of winning the 2nd game are dependant on the result of the 1st game. The probabilities are different if you win or lose the first game.
b) The probability of losing the first game is
The probability of losing the second game, given that the first game was lost is:
So the probability of losing both games is:
c) The probability of winning both games is:
d) The variable X can take values 0, 1 and 2.
X=0 is when both games are lost. This happens with probability P=0.42.
X=2 is when both games are won. This happens with probability P=0.08.
X=1 is when one game is won and the other is lost. This happens with probability P=1-0.42-0.08=0.50.
Then the table of probabilities become:
X | P(X)
------------------
0 | 0.42
1 | 0.50
2 | 0.08
e) The expected value is:
The variance and standard deviation of x are:
The standard deviation can
There are two congruent triangles that are being formed from the lamppost, the light, the ground and the man. Always try to draw a picture for these types of problems. It helps a lot when solving. Your answer should be about 4.3ft
