12 + 6x + 6x + 6y = 12 + 12x + 6y
Answer:
z1 + z2 = 3
Step-by-step explanation:
Since we are given z1 = 2 + √(3)i and z2 = 1 – √(3)i. The sum of z1 + z2 would be:
(2 + √(3)i) + (1 – √(3)i) = 2 + √(3)i + 1 – √(3)i = 2 + 1 + √(3)i – √(3)i = 3
Hence, z1 + z2 = 3.
Answer:
12 cents
Step-by-step explanation:
opportunity cost of the next best option forgone when one alternative is chosen over other alternatives
by loaning matt the money he forgoes the opportunity to earn 12 cents in interest. this is his opportunity cost
Step-by-step explanation:
to find a common denominator, you have to find a number that "works" with every other number.
for example, say you have
2/4 and 8/12
First you need to find the common factor between 4 and 12, so list all your fours
4, 8, 12, 16, 20
Now list all your twelves
12, 24, 36, 48, 60
to find the common factor you look at both your list of numbers and find one that's the same, sometimes it takes a long list of numbers to find the common factor, but you will run into one.
So by looking at our list we see that 4 and 12 share the common factor of 12. but since 8/12 already has a denominator of 12, we are going to leave it alone.
now think about what you would multiply 4 by, to get to 12. The answer is
4 x 3 = 12
to make the numerator correct, you multiply it by the same number you did 4, so since your faction is 2/4 you should do 2 x 3 = 6
now you have your answer,
2/4 and 8/12 turns into
6/12 and 8/12
and that's how you find it, let me know if you have questions :)
Answer:
Continuous random variables: c and e
Discrete random variables: a, b, d
Step-by-step explanation:
We have to identify whether the random variable is discrete or continuous.
- A discrete variable is a variable whose value is obtained by counting.
- A continuous random variable X takes all values in a given interval of numbers.
- Thus, a continuous variable can have values in decimals but a discrete random variable cannot take values in decimals.
a. The number of statistics students now reading a book.
Discrete random variable since number of students cannot take decimal values.
b. The number of textbook authors now sitting at a computer.
Discrete random variable since number of textbooks cannot be expressed in decimals but counted.
c. The exact time it takes to evaluate 27 plus 72.
It is a continuous random variable as it may take all values within an interval of time.
d. The number of free dash throw attempts before the first shot is made.
It is a discrete random variable since the number of throws can always be whole number.
e. The time it takes to fly from City Upper A to City Upper B.
Time is a continuous random variable.
