Answer:

Step-by-step explanation:
We need to evaluate 
(5+6i)(5+6i) = (25 + 36i² + 60i) = (25 - 36 + 60i) = -11 + 60i
= 
Now we rationalize the denominator.
Now, multiplying both the numerator and denominator by (6-i)

= 
Formula used:
(a+b)² = a² + b² + 2ab
i² = -1
I'll solve it by substitution instead of graphing.
x + y = 2
y = (1/2)x + 5
Substitute equation 2 into equation 1.
x + (1/2)x + 5= 2
(3/2)x + 5 = 2
(3/2)x + 5 - 5 = 2 - 5
(3/2)x = -3
(2/3) * (3/2)x = -3 * (2/3)
x = -2
x + y = 2
-2 + y = 2
y - 2 = 2
y - 2 + 2 = 2 + 2
y = 4
x = -2
y = 4
(-2,4)
Your answer is B) (-2,4).
Answer:
a. 74.63%
b. 33.63%
c. 87.67%
Step-by-step explanation:
If 59% (0.59) of the workers are married, then It means (100-59 = 41%) of the workers are not married.
If 43% (0.43) of the workers are College graduates, then it means (100-43= 57%) of the workers are not college graduates.
If 1/3 of college graduates are married, it means portion of graduate that are married = 1/3 * 43% = 1/3 * 0.43 = 0.1433.
For question a, Probability that the worker is neither married nor a college graduate becomes:
= (probability of not married) + (probability of not a graduate) - (probability of not married * not a graduate)
= 0.41 + 0.57 - (0.41*0.57) = 0.98 - 0.2337
= 0.7463 = 74.63%
For question b, probability that the worker is married but not a college graduate becomes:
=(probability of married) * (probability of not a graduate.)
= 0.59 * 0.57
= 0.3363 = 33.63%
For question c, probability that the worker is either married or a college graduate becomes:
=probability of marriage + probability of graduate - (probability of married and graduate)
= 0.59 + 0.43 - (0.1433)
= 0.8767. = 87.67%
Answer:
D
Step-by-step explanation:
42 minus 31 is 11
so 11/42 = /100
Answer:

Step-by-step explanation:
step 1
Find the volume of the cylindrical can
The volume of the cylinder is equal to

we have

substitute the values

step 2
Find the volume of the cylindrical glasses
The volume of the cylinder is equal to

we have

substitute the values

Find the volume of 3/4 of the glass

step 3
Divide the total volume of cylindrical can by the 3/4 volume of the glass
