Answer:
W = 87 degrees
Step-by-step explanation:
First we can rearrange the question so that W is isolated on the left side, which we do by dividing both sides by tan:
tanW/tan = 19.0811/tan
W = 19.0811/tan
Now we can use the inverse tan function on the calculator () to calculate it:
W = 19.0811 x
W = 87 degrees
Hope this helped!
Answer:
0.03125 = 3.125% probability of obtaining 5 heads from 5 coin flips.
Step-by-step explanation:
For each coin flip, there are only two possible outcomes. Either it is heads, or it is tails. The probabilities for each flip are independent from each other. 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.
In this problem we have that:
For each coin toss, heads and tails are equally as likely, so
What is the probability of obtaining 5 heads from 5 coin flips?
This is P(X = 5) when n = 5.
So
0.03125 = 3.125% probability of obtaining 5 heads from 5 coin flips.