The flight is in the shape of a parabola with a vertex 5 feet above the water and 1/2 * 33 = 16.5 feet horizontally from the point of leaving the water
y = a(x - h)^2 + k
where (h,k) is the vertex of the parabola and here it is (5 , 16.5), so we have the function:-
y = a(x - 16.5)^2 + 5
when x = 0 y = 0 so
0 = a(-16.5)^2 + 5
which gives a = -0.018365
So our function for the flight path is
y = -0.018365(x - 16.5)^2 + 5 Answer
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
Answer:
<h2> 12 because 9+3 = 12 12 • 7 = 84</h2>
Step-by-step explanation:
<h2>Hopes this helps. Mark as brainlest plz!</h2>
Answer:
Step-by-step explanation:At the start of the question the population of the lake was 60 fish 1 year ago.
In one year the population dropped 25%.
25% of 60 is 15.
60 minus 15 equals 45
Answer:
g(x)=−4x^2 and m(x)=4x^2
Step-by-step explanation:
A horizontal stretch or shrink happens when you multiply the parent function (in this case f(x) = x²) by a number. If this number is between 0 and 1, the graph will be stretched horizontally. If this number is greater than 1, the graph will be shrunk horizontally. If the number is between -1 and 0, the graph will be stretched horizontally and flipped; if the number is less than -1, the graph will be shrunk horizontally and flipped.
The graphs that are horizontally shrunk are steeper than the others. This is m(x)=4x^2 and g(x) = -4x^2.
