To win a certain state lottery, players must correctly choose 4 numbers (in any order) from the numbers 1 to 40. How many differ
2 answers:
Answer: B. 91,390
Step-by-step explanation:
The combination of n things taken m things at a time is given by :-
Given : The total numbers in lottery = 40
The number of correct numbers to win the lottery = 4
Now, the combination of 40 numbers taken 4 correct numbers at a time is given by :-
Hence, there are 91,390 different 4 number combinations .
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Answer: (a) e ^ -3x (b)e^-3x
Step-by-step explanation:
I suggest the equation is:
d/dx[integral (e^-3t) dt
First we integrate e^-3tdt
Integral(e ^ -3t dt) as shown in attachment and then we differentiate the result as shown in the attachment.
(b) to differentiate the integral let x = t, and substitute into the expression.
Therefore dx = dt
Hence, d/dx[integral (e ^-3x dx)] = e^-3x
