Step-by-step explanation:
consider k the numbe of correct answers
P(k) = kC8×(0,2)^k×(0,8)^(8-k)
example:
The probability of having 2 correct answers = 2C8×(0,2)^2×(0,8)^(6) = 0.294
the probability that the number x or correct answer is fewer than 4 =
p(0) + p(1) + p(2) + p(3) = 0.944
F(g(x))=7g(x)+4
f(g(-3)=7 V(-3+4) + 4= 7*1+4=7+4=11
the answer is 11
2cosx=2sin2x. Sin2x is an identity for 2sinxcos. So 2[2sinxcosx] gives you 4sinxcosx. 2cosx=4sinxcosx. Divide 2cosx on both sides and gives you 2sinx=0 and divide again, sinx=0. Sinx is 0 at 0 and 360 degrees, or pi and 2pi. So thats what x would be. 0,360,pi,2pi.
The tangent at A is perpendicular to OA, so has a slope that is the negative reciprocal of that of the radius: -1/2.5 = -2/5.
The answer is 503.39
Hope this helps
