Answer:
Out of 80 questions Andrew did 76 questions correctly.
Step-by-step explanation:
Total number of questions is 80.
It is given that he got 95% on the test. It means he answered 95% of the total questions correctly.
First we have to calculate 95% of 80.
The 95% of 80 is 76. So, 76 answers are correct.
Therefore out of 80 Andrew did 76 questions correctly.
We have to prove that the tangent is an odd function.
If the tangent is an odd function, the following condition should be satisfied:
From the figure we can see that the tangent can be expressed as:
We can start then from tan(t) and will try to arrive to -tan(-t):
We have arrived to the condition for odd functions, so we have just proved that the tangent function is an odd function.
Answer:
AB and DE
Step-by-step explanation:
Look closely and you can notice whats the difference.
OK
Answer:
Step-by-step explanation:
Total number of antenna is 15
Defective antenna is 3
The functional antenna is 15-3=12.
Now, if no two defectives are to be consecutive, then the spaces between the functional antennas must each contain at most one defective antenna.
So,
We line up the 13 good ones, and see where the bad one will fits in
__G __ G __ G __ G __ G __G __ G __ G __ G __ G __ G __ G __G __
Each of the places where there's a line is an available spot for one (and no more than one!) bad antenna.
Then,
There are 14 spot available for the defective and there are 3 defective, so the arrange will be combinational arrangement
ⁿCr= n!/(n-r)!r!
The number of arrangement is
14C3=14!/(14-3)!3!
14C3=14×13×12×11!/11!×3×2
14C3=14×13×12/6
14C3=364ways
