Answer:
b
Step-by-step explanation:
yes
<span>he total number of internal degrees is (n-2)*180 = 4*180 = 720 degrees.
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let a = one of the congruent angles.
you have:
angles 1, 2, and 3 = a.
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if a = 2 * angle 4, then angle 4 = 1/2 * a
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if a = 1/2 * angle 5, then angle 5 = 2 * a
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we have:
angle 1 = a
angle 2 = a
angle 3 = a
angle 4 = 1/2 * a
angle 5 = 2 * a
angle 6 = 115
</span><span>-----
since the sum of the angles is equal to 720, we have:
3*a + 2*a + 1/2*a + 115 = 720
combine like terms to get:
5.5 * a + 115 = 720
subtract 115 from both sides to get:
5.5 * a = 720 - 115 = 605
divide both sides by 5.5 to get:
a = 720/5.5 = 110
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angle 1, 2, and 3 are each 110 degrees.
angle 4 = 55 degrees
angle 5 = 220 degrees
angle 6 = 115 degrees
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the question is:
What is the measure of the smallest angle?
the answer is:
55 degrees.</span>
Answer:
Yes it is
Step-by-step explanation:
Assuming that 10% is the probability of a switch being defective (since left-handedness has nothing to do with the problem):
For a binomial distribution, probability(r out of n) = (nCr) (p)^r (q)^(1-r)
p = 10% = 0.1, q = 1 - p = 0.9
r = 2 switches, n = total of 12 switches
probability = (12C2) (0.1)^2 (0.9)^(12-2)
probability = 66(0.1)^2 (0.9)^10
probability = 0.23