A car factory produces 100 cars in a day if C is the total number of cars produced in the days which equation represents the num
1 answer:
You might be interested in
Well let's say that to compare these two numbers, we have to start with the definition first.
<u>D</u><u>e</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u>
Looks like we can use any x-values right? Nope.
The value of x only applies to any positive real numbers for one reason.
As we know, any numbers time itself will result in positive. No matter the negative or positive.
<u>D</u><u>e</u><u>f</u><u>i</u><u>n</u><u>i</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>I</u><u>I</u>
Where b is the result from a×a. Let's see an example.
<u>E</u><u>x</u><u>a</u><u>m</u><u>p</u><u>l</u><u>e</u><u>s</u>
So basically, their counterpart or opposite still gives same value.
Then you may have a question, where does √-1 come from?
It comes from this equation:
When we solve the quadratic equation in this like form, we square both sides to get rid of the square.
Then where does plus-minus come from? It comes from one of Absolute Value propety.
<u>A</u><u>b</u><u>s</u><u>o</u><u>l</u><u>u</u><u>t</u><u>e</u><u> </u><u>V</u><u>a</u><u>l</u><u>u</u><u>e</u><u> </u><u>P</u><u>r</u><u>o</u><u>p</u><u>e</u><u>r</u><u>t</u><u>y</u><u> </u><u>I</u>
Solving absolute value always gives the plus-minus. Therefore...
Then we have the square root of -1 in negative and positive. But something is not right.
As I said, any numbers time itself of numbers squared will only result in positive. So how does the equation of y^2 = -1 make sense? Simple, it doesn't.
Because why would any numbers squared result in negative? Therefore, √-1 does not exist in a real number system.
Then we have another number which is -√1. This one is simple.
It is one of the solution from the equation y^2 = 1.
We ignore the +√1 but focus on -√1 instead. Of course, we know that numbers squared itself will result in positive. Since 1 is positive then we can say that these solutions exist in real number.
<u>C</u><u>o</u><u>n</u><u>c</u><u>l</u><u>u</u><u>s</u><u>i</u><u>o</u><u>n</u>
So what is the different? The different between two numbers is that √-1 does not exist in a real number system since any squared numbers only result in positive while -√1 is one of the solution from y^2 = 1 and exists in a real number system.
Answer:
(a) P(A) = 0.34
(b) P(B) = 0.33
(c) P(C) = 0.33
(d) The Complement of event A = 1 - P(A) = 0.66
Step-by-step explanation:
We are given that in the long run, roommate A chooses rock 36% of the time, and roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time.
Let the probability that roommate A chooses rock = P() = 0.36
The probability that roommate A chooses paper = P() = 0.32
The probability that roommate A chooses scissors = P() = 0.32
The probability that roommate B chooses rock = P() = 0.22
The probability that roommate B chooses paper = P() = 0.25
The probability that roommate B chooses scissors = P() = 0.53
(a) Let A = event that roommate A wins the game and thus does not have to wash the dishes.
This will happen only when roommate A chooses rock and roommate B chooses scissors or roommate A chooses paper and roommate B chooses rock or roommate A chooses scissors and roommate B chooses paper.
So, P(A) =
= (0.36 0.53) + (0.32
0.22) + (0.32
0.25)
= 0.1908 + 0.0704 + 0.08
P(A) = 0.34
(b) Let B = event that roommate B wins the game and thus does not have to wash the dishes.
This will happen only when roommate B chooses rock and roommate A chooses scissors or roommate B chooses paper and roommate A chooses rock or roommate B chooses scissors and roommate A chooses paper.
So, P(B) =
= (0.22 0.32) + (0.25
0.36) + (0.53
0.32)
= 0.0704 + 0.09 + 0.1696
P(B) = 0.33
(c) Let C = event that the game ends in a tie.
This will happen only when roommate A chooses rock and roommate B also chooses rock or roommate A chooses paper and roommate B also chooses paper or roommate A chooses scissors and roommate B also chooses scissors.
So, P(C) =
= (0.36 0.22) + (0.32
0.25) + (0.32
0.53)
= 0.0792 + 0.08 + 0.1696
P(C) = 0.3288 ≈ 0.33
(d) The complement of event A = P(A') = 1 - P(A)
= 1 - 0.34 = 0.66.