Answer:1
Step-by-step explanation:
The range is 7. Here's how i found it. First i ordered it from least to greatest. Like this:
2,3,4,8,9
Then i subtract the lowest number from the highest number:
9-2=7
So the answer is 7. I hope i helped!
Answer:
The answer is A, C, and E
Answer:
The given expression is divisible by 3 for all natural values of x.
Step-by-step explanation:
The given expression is
For x=1,
9 is divisible by 3. So, the given statement is true for x=1.
Assumed that the given statement is true for n=k.
This expression is divisible by 3. So,
.... (1)
For x=k+1
Using equation (1), we get
This expression is also divisible by 3.
Therefore the given expression is divisible by 3 for all natural values of x.
Answer:
Expected number of free throws in 60 attempts:
Best player = 48
2nd best player = 45
3rd best player = 42
Step-by-step explanation:
Solution:-
- The probability that best player makes free throw, p1 = 0.8
- The probability that second-best player makes free throw, p2 = 0.75
- The probability that third-best player makes free throw, p3 = 0.70
- Total number of attempts made in free throws, n = 60.
- The estimated number of free throws that any player makes is defined by:
E ( Xi ) = n*pi
Where, Xi = Player rank
pi = Player rank probability
- Expected value for best player making the free throws would be:
E (X1) = n*p1
= 60*0.8
= 48 free throws
- Expected value for second-best player making the free throws would be:
E (X2) = n*p2
= 60*0.75
= 45 free throws
- Expected value for third-best player making the free throws would be:
E (X3) = n*p3
= 60*0.70
= 42 free throws
