Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time <em>t</em> = 0. It is modeled by the function:
The domain of the function is time <em>t</em>. The range of the function is the ball's height in the air <em>h</em>.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
And as an inequality:
Since there are 24 hours in a day and you want to figure out how many pounds a baby blue whale gains per hour you divide 200 by 24. You should get 8.3 as you answer. Hope I helped with that!
Use this formula (x1+x2 over 2, y1+y2 over 2)
Answer: -3/8
Step-by-step explanation:
Answer:
0.3164 = 31.64% probability the team wins all its conference games
Step-by-step explanation:
For each conference game, there are only two possible outcomes. Either the team wins it, or they lose. The probability of winning a game is independent of any other game. This 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.
A football team has a probability of .75 of winning when playing any of the other four teams in its conference.
The probability means that 
, and four games means that 
If the games are independent, what is the probability the team wins all its conference games?
This is P(X = 4). So
0.3164 = 31.64% probability the team wins all its conference games
