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.
Complete Question
The complete question is shown on the first uploaded image
Answer:
1

2

3

4

Step-by-step explanation:
Generally the area of a sector is mathematically represented as

Now at
and 


Now at
in and 


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and 


Now at
and 


24 becuase add the two together then divide by two
Wait let me know that the .12 means in the first question and i will fix the answer
int (x)(cosx) dx
u=x ----> take derivative du=dx
dv=cosx -----> take integral v=sinx
now use integration by parts
u v - int (v)du
x sinx - int (sinx) (1) dx=
x sinx - (-cos(x)) + c =
answer is = x sinx + cosx + c
A
i actually just searched it up "volume of a sphere with a diameter of 8" and thats what it said