A distribution is binomial when their is only two available choices for the variable of interest.
In option A, X is not a binomial distribution because there are more than two diamonds in a card.
In option B, X is not a binomial distribution because there are more than two clubs in a card.
In option C, X is a binomial distribution because a woman in the sample can either be shorter than 64 inches or not.
In option D, X is a binomial distribution because a girl in the sample can either agree to a date or not.
In option E, X is a binomial distribution because a student in the sample can either be shorter than 64 inches or not.
P.Theorem says a^2 + b^2 = c^2
We know c^2 is 10, the diagonal length, and one leg we will call a^2 is 9
10^2 - 9^2 = b^2 (width)
Width is 4.36
Answer:
x = number of students tickets = 1,000
y = number of adults tickets = 250
Step-by-step explanation:
Let
x = number of students tickets
y = number of adults tickets
x + y = 1,250 (1)
2x + 3y = 2,750 (2)
Multiply (1) by 2
x + y = 1,250 (1) * 2
2x + 2y = 2,500 (3)
2x + 3y = 2,750 (2)
Subtract (3) from (2) to eliminate x
3y - 2y = 2,750 - 2,500
y = 250
Substitute y = 250 into (1)
x + y = 1,250
x + 250 = 1,250
x = 1,250 - 250
x = 1,000
x = number of students tickets = 1,000
y = number of adults tickets = 250
Answer:
where f(x) is the bonus every year and x is in number of years
Step-by-step explanation:
The function that represents the situation where $840 annual bonus increases by 5% each year is given by
where f(x) is the bonus every year and x is in number of years
A<em>Graph g</em>
The Rate of change is a little right triangle that is drawn from to to three parallel to the x axis and from about 45 to 60 on the y axis.
The square brackets means the the endpoints are included.
So the rate of change is

<em>Graph h</em>

<em>Graph f</em>

<em>Conclusion</em>
This is very hard to call. There are two the same (two of them being g and h) It's a graph and so it is nearly impossible to differentiate. I would say the statement is false but be prepared to get it wrong. Draw g and h for yourself and see what you think. If you get the two of them different, go with your answer.
BAnother tough one to call. f and g cross at four. It is true f and h. The value of f(4) > h(4). Again, if you do this and disagree, then go with your answer. Mine is false.
CIt is very difficult to reproduce this graph on desmos so that you get a clear cut answer from the graph. I cheated and used a calculator. f(x) is over 6000 and h(x) = 168. This statement is also not true.
DHere again this is false. g's rate of change is a constant. Eventually f will have the same slope as bitcoin's value which is in the range of about 6000. So this statement is false as well.
ESee the comment about F in the answer for D. This statement is true.
FThis is definitely a true statement.
Conclusion or answer
E and F <<<<<<<
True should be checked.
I would check the first two statements with a calculator. I did them with a graph.