Answer with explanation:
It is given that:
At an ocean depth of 8 meters, a buoy bobs up and then down 5 meters from the ocean's depth.
Sixteen seconds pass from the time the buoy is at its highest point to when it is at its lowest point.
Assume at x = 0 the buoy is at normal ocean depth.
this means that when x=0 the value on the y-axis is -8.
Also, the buoy bobs up 5 meters up so the maximum height reached by him is -3.
( Since -8+5=-3)
So, the sine function that will represent this situation is:
Now, the graph of this situation is attached to the answer and the mid-line and the first and the second points on it are labelled.
Answer:
The slope is -2/3
Step-by-step explanation:
It is recommended to solve for 'y' variable the equation given, this means, leave the 'y' variable alone in one side of the equation. Doing that, leaves us the following:
This is the general equation of a line: where 'm' is the slope (by comparison), thus We have the desired result
Answer:
19.35% probability that five will have completed four years of college
Step-by-step explanation:
For each individual chosen, there are only two possible outcomes. Either they have completed fourr years of college, or they have not. The probability of an adult completing four years of college is independent of any other adult. So 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.
28% of individuals
This means that
For a sample of 15 individuals, ages 25 and older, what is the probability that five will have completed four years of college?
This is P(X = 5) when n = 15. So
19.35% probability that five will have completed four years of college