Answer:
-1, 2, 6
Step-by-step explanation:
We have to solve the equation as follows: 1/(x-6) + (x/(x-2)) = (4/(x²-8x+12)).
Now, we have,
⇒
⇒
⇒
⇒
⇒ or,
If, (x-2)(x-6) =0, then x=2 or x=6
If, , then
and (x-6)(x+1) =0
Therefore, x=6 or -1
So the solutions for x are -1, 2 6. (Answer)
Answer: a. 154 is larger than 27 by 127.
b. 25 is larger than 12 by 13.
c.135 is larger than 127 by 8.
d.46 is larger than 24 by 22.
Step-by-step explanation:
Subtract second number from the first number.
a. 154 and 27
Difference=
Hence, 154 is larger than 27 by 127.
b. 25 and 12
Difference=
Hence, 25 is larger than 12 by 13.
c. 135 and 127
Difference=
Hence, 135 is larger than 127 by 8.
d. 46 and 24
Difference=
Hence, 46 is larger than 24 by 22.
Answer:
The expected value of the proposition is of -0.29.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either the player will make it, or he will miss it. The probability of a player making a free throw is independent of any other free throw, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
Suppose a basketball player has made 231 out of 361 free throws.
This means that
Probability of the player making the next 2 free throws:
This is P(X = 2) when n = 2. So
Find the expected value of the proposition:
0.4095 probability of you paying $31(losing $31), which is when the player makes the next 2 free throws.
1 - 0.4059 = 0.5905 probability of you being paid $21(earning $21), which is when the player does not make the next 2 free throws. So
The expected value of the proposition is of -0.29.