Answer:
-9 + 7√5.
Step-by-step explanation:
(3 - √5)(2 + 3√5)
= 3(2 + 3√5) - √5(2 + 3√5))
= 6 + 9√5 - 2√5 - 15
= -9 + 7√5.
Answer:
Sum = 13+ 4i Difference = -5 - 8i
Step-by-step explanation:
Given complex number as (4 -2i) and (9 + 6i)
Sum of these complex number is
(4 -2i) + (9 + 6i) = ( 4 +9) + (6i -2i)
= 13 +4i
Difference of these complex number is
(4 -2i) - (9 + 6i) = (4 -9) - (2i +6i)
= -5 - 8i
Hence the sum and Difference of given complex numbers are
Sum = 13+ 4i Difference = -5 - 8i Answer
4c
4(18)
72 is the score for 18 correct problems
Step-by-step explanation:
(a) If his second pass is the first that he completes, that means he doesn't complete his first pass.
P = P(not first) × P(second)
P = (1 − 0.694) (0.694)
P ≈ 0.212
(b) This time we're looking for the probability that he doesn't complete the first but does complete the second, or completes the first and not the second.
P = P(not first) × P(second) + P(first) × P(not second)
P = (1 − 0.694) (0.694) + (0.694) (1 − 0.694)
P ≈ 0.425
(c) Finally, we want the probability he doesn't complete either pass.
P = P(not first) × P(not second)
P = (1 − 0.694) (1 − 0.694)
P ≈ 0.094
