In calculus, an antiderivative, primitive function, primitive integral or indefinite integral[Note 1] of a function f is a differentiable function F whose derivative is equal to the original function f. This can be stated symbolically as F ′ = f. The process of solving for antiderivatives is called antidifferentiation (or indefinite integration) and its opposite operation is called differentiation, which is the process of finding a derivative.
Antiderivatives are related to definite integrals through the fundamental theorem of calculus: the definite integral of a function over an interval is equal to the difference between the values of an antiderivative evaluated at the endpoints of the interval.
You do 6 divided by 3 which is 2
Then you do 2 times 2 which is 4 and 4 is your answer
Answer:
12-5x
Step-by-step explanation:
2-5(x-2)
2-5x+10
12-5x
Answer:
-6/7
Step-by-step explanation:
The slope of the line perpendicular to DE is the negative reciprocal of the slope of DE. The slope of DE is ...
(change in y)/(change in x) = (y2 -y1)/(x2 -x1) = (-3-4)/(1-7) = -7/-6 = 7/6
The inverse of that is 6/7, and the opposite of that inverse is -6/7.
The slope of the line perpendicular to DE is -6/7.
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14
