Answer:
The expected value of the proposition is -$0.76.
Step-by-step explanation:
It is provided that a basketball player has made 291 out of 389 free throws.
Then rate of him making a free throw is,
The probability that he makes the next 2 free throws is:
The payout rules are:
- If the player makes the next 2 free throws, I will pay you $38.
- Otherwise you pay me $50.
Compute the expected value of the proposition as follows:
Expected value = $38 × P (Makes both) + (-$50) × P (Misses both)
Thus, the expected value of the proposition is -$0.76.
The dimensions of the smaller box are half those of the larger box. This means that:
*Length of smaller box= length of larger box/2= 24/2= 12cm.
*height of smaller box= height of larger box/2= 30/2= 15cm.
*width of smaller box= width of larger box/2= 10/2= 5cm.
This is a parabola which looks like an inverted U. Its will have a maximum value when t = 7 as we see from the vertex form below:-
- t^2 + 14t - 40
= - ( t - 7)^2 + 49 - 40
= -(t - 7)^2 + 9
There is an axis of symmetry at x = 7.
so a is true since 7 is the maximum value of the function and its less at t = 6.
c is also true because of the symmetry about t = 7
