Exponental law

so
√(81y^5)=√81 times √(y^5)
√81=9 or -9
√(y^5)=y^2 times√y
answer is 9y^2 times √y or -9y^2 times √y
A) 0.3413 . . . . the area from -1 to 0 is the same as the area from 0 to 1. The normal curve is symmetrical about x=0.
b) 0.3413 . . . . A(1) on the chart
c) 0.4772 . . . . A(2) on the chart
d) 0.4987 . . . . A(3) on the chart
e) 0.3413 + 0.4772 = 0.8185 . . . . A(1)+A(2) on the chart
The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).
So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5
This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)
If 10 to the 4th power is 10,000, and 10 to the second power is 100, and multiply 3 by 10,000 which would be 30,000, and 4 by 100, it would be 400, so your answer is 29600. I hope this helps! Also if I am wrong, please tell me, I did the best I could with the information I had.
We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.