Answer:
y = (1/3)x + 1
Step-by-step explanation:
You first find the slope:
(2 - (-1))/(3 - (-6)) =
3/9 =
1/3
This means the equation of the line is y = (1/3)x + b, where b is a real number.
Plug in either of the points to find the value of b:
-1 = (1/3)(-6) + b -->
-1 = -2 +b -->
1 = b
This means the equation is y = (1/3)x + 1
The total bill amount before the service fee is given as $45.
We are given that the tip she wants to leave is 15% of the bill amount, this means that:
tip value = 0.15 * 45 = 6.75$
The total bill would be the summation of the original bill and the tip value she left.
Total bill amount = 45 + 6.75 = 51.75$
You find a common denominator (the bottom one) and then add the numerator (the top) but you don't add the denominator, you just make it the same
Answer:
- <em>The probability that the second favorite character will die given that the first favorite character dies is</em><u> 0.53</u>
- <u>This kind of probability is called conditional probability</u>
Explanation:
Name the events and their probabiities:
- Event A: her favorite character will survive, so P (A) = 0.70
- Event B: her her second favorite character will die, so P(B) = 0.75
- Both characters will die ⇒ P (B and not A) = 0.16
You want to find P (B | not A).
That is the probability of the succes B (the second favorite character will die) given other event (not A or the first favorite character dies) is certain (it happens) and that is called conditional probability.
- P (not A) is the complement probability of A, so P (not A) = 1 - P(A) = 1 - 0.7 = 0.3
So, you have P(B), P(not A) and want to find P (B | not A)
The definition of conditional probability is:
- P (X | Y) = P (X and Y) / P (Y)
So, replacing with our terms, we get:
- P ( B | not A) = P (B and not A) / P (not A) = 0.16 / 0.3 ≈ 0.53