Answer:
∠ 6 = 45°
Step-by-step explanation:
∠ 6 and ∠ 7 are alternate angles and are congruent, thus
4x - 15 = x + 30 ( subtract x from both sides )
3x - 15 = 30 ( add 15 to both sides )
3x = 45 ( divide both sides by 3 )
x = 15
Thus
∠ 6 = 4x - 15 = 4(15) - 15 = 60 - 15 = 45°
You can use your calculator if you have one or do long division. just make sure to move the decimal so it looks like this: 63 divided by 7. you answer should be 9
Answer:
30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Step-by-step explanation:
For each game, there are only two possible outcomes. Either the Islanders win, or they do not. The probability of the Islanders winning a game is independent of other games. So we use the binomial probability distribution 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.
The probability that the islanders will beat the rangers in a game is 0.44
This means that 
What is the probability that the islanders will win exactly one out of four games in a series against the rangers?
This is P(X = 1) when n = 4. Then


30.91% probability that the islanders will win exactly one out of four games in a series against the rangers
Answer:
f(-1)=6×(-1)^-4=6/(-1)^4=6/1=6