Answer:
You can't actually divide those, but you can rationalize the denominator. You have to multiply by the conjugate.
Step-by-step explanation:
Step 1. find the conjugate of the bottom (switch the sign of the coefficient of i)
-8 + 6i.
Step 2. Foil (-8 - 6i) (-8 + 6i) and combine like terms to get your denominator. Remember i squared = (-1).
Step 3. Foil (-2 +i) (-8 + 6i) to get your numerator.
Step 4. Write the fraction.
Step 5. Simplify as needed.
Answer:
99
Step-by-step explanation:
Kruskal's Algorithm has you add edges in order increasing weight, skipping ones that create loops.
__
The order of increasing weights for this graph is ...
10, 12, 14, 16, 18, 22, 24, 25, 28
The edges that can be added without creating loops are shown in bold.
The weight of the minimum spanning tree is ...
10 +12 +14 +16 +22 +25 = 99
Answer:
111/190 ≈ 58.4%
Step-by-step explanation:
The probability that they are different is the opposite of the probability that they are the same.
The probability that they are the same is:
P(plain, plain) = (12/20) (11/19) = 132 / 380
P(chocolate, chocolate) = (5/20) (4/19) = 20 / 380
P(currant, currant) = (3/20) (2/19) = 6 / 380
P(same) = 132/380 + 20/380 + 6/380
P(same) = 158/380
P(same) = 79/190
Therefore, the probability that they are different is:
P(different) = 1 − 79/190
P(different) = 111/190
P(different) ≈ 58.4%
2 automobile choices the others are just add ons
Answer:
Iron, Nickel, and cobalt
Step-by-step explanation:
iron and cobalt can be magnetized, but nickel is iffy because it is ferromagnetic so nickel being a right answer depends on your school curriculum