Answer:
modulus of complex number is 
Step-by-step explanation:
z=x+iy is a complex numbers
the given complex number is 5+2i
the value of x is 5 and y is 2
the modulus of complex number formula is
modulus of complex number is
Answer:
The probability that none of the 10 calls result in a reservation is 0.60%. In turn, the probability that at least one call results in a reservation being made is 99.40%.
Step-by-step explanation:
Since approximately 40% of the calls to an airline reservation phone line result in a reservation being made, supposing an operator handles 10 calls, to determine what is the probability that none of the 10 calls result in a reservation, and what is the probability that at least one call results in a reservation being made, the following calculations must be performed:
0.6 ^ 10 = X
0.006 = X
0.006 x 100 = 0.60%
Therefore, the probability that none of the 10 calls result in a reservation is 0.60%.
100 - 0.60 = 99.40
In turn, the probability that at least one call results in a reservation being made is 99.40%.
Answer:
x>1
Step-by-step explanation:
In order to do this, we can take the inequality:
3+2x>5
now there are constants on both sides meaning we can combine them like the following:
3+2x>5
-3 -3
------------
2x>2
Now we can simplify
2x/2>2/2
therefore, the answer is x>1
In order to graph this on a line you would need to put in a circle which is not filled in because x isn't <u>equal to and greater than</u> 1 so we put in a blank circle and since x is always going to be greater than 1, we would put a line that keeps going on.
You would put this line to the right of 1
o----------->
1 2 3 4 5 6
that is how the line would look like
Answer:
Step-by-step explanation:
-5+8x-9=3(x+3)
8x-14=3x+9
8x-3x-14=9
5x-14=9
5x=9+14
5x=23
x=23/5
----------------------
-216-3x=-12+6x
-216-3x-6x=-12
-216-9x=-12
9x=-216-(-12)
9x=-216+12
9x=-204
x=-204/9
x=-68/3
------------------
6-213-2x=-413-x
-207-2x=-413-x
-207-2x-(-x)=-413
-207-2x+x=-413
-207-x=-413
x=-207-(-413)
x=-207+413
x=206
------------------------
-(4x+9)=2x-3(2x+3)
-4x-9=2x-6x-9
-4x-9=-4x-9
Infinitely many solutions.
6,000 because there are 30 days in June and if he swims 200 meters per day then all you have to do is 30 times 200 which is 6,000
