Answer: 10
Step-by-step explanation:
Since integral from 1 to 4 of f(x) =10
To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method
Let U = 2x, dU = 2dx, dx = dU/2
Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.
Since this limit are the same as the limit for the question,
Therefore, F(4) - F(1) = F(8) - F(2) = 10
Substituting dx=dU/2
Gives,
Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10
Dilation because the sides will not be the same size as the original
Answer:
y= -3+2
Step-by-step explanation:
Answer:
Tests is 100% Accurate, so by using the formula of random variable probability.
Step-by-step explanation:
Total number of people = 10
Sample space = p(A) = 10
Number of people that have flu = n(s) = 4
Pick random 3 persons, the possibility that they have flue is n(A) = ?
Let X is the random variable, consisting of number of positive flu test,
Tests is 100% Accurate, so by using the formula of random variable probability, we get
P(X) = n (A) / n(S)
P(X) = ¾, is the probability of having positive flu test
