Answer:
The probability is 
Step-by-step explanation:
Given is that a fair coin is tossed 5 times in a row.
This gives total number of outcomes as = 
As its needed that heads comes exactly 2 times, so favorable outcomes are = 5C2

Solving this we get 10
Therefore, the probability of getting heads exactly 2 times is =
or

Answer:
see below
Step-by-step explanation:
Corresponding angles of similar triangles are equal and corresponding sides are proportional so:
m ∠P = m ∠D = 180° - (35° + 89°) = 56°
m ∠Q = m ∠F = 89°
m ∠ R = m ∠E = 35°
PR/DE =PQ/DF
40/DE = 20/24 cross multiply and solve for DE
DE = 40*24/20
DE = 48
scale factor is DF/PQ = 24/20 = 6/5 so FE = 6/5 *RQ =6/5 *36 = 43.2
“Extraneous solutions are not solutions at all. They arise from outside the problem, from the method of solution. They are extraneous because they are not solutions of the original problem. ... To tell if a "solution" is extraneous you need to go back to the original problem and check to see if it is actually a solution.”
Basically, they are an answer you get when you solve a problem, but they don’t actually make the equation true so you disregard it.
Answer: 2x5−3x4−8x3+12x2
Step-by-step explanation:
(2x2−3x)(x3−4x)
=(2x2+−3x)(x3+−4x)
=(2x2)(x3)+(2x2)(−4x)+(−3x)(x3)+(−3x)(−4x)
=2x5−8x3−3x4+12x2
=
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