Answer:
10√3 which is the last option
Explanation:
√30 * √10 = (30*10)^1/2
= 300^1/2
300 = 100 * 3
Therefore:
√300 = √100 * √3 = 10√3
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Answer:
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Step-by-step explanation:
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Answer: x=20
all angles in the triangle are 180 degree, so:
2x+3x+4x=180
9x=180
divide both sides by 9
x= 20
Slope of AB=(2-3)/(1+1)=-1/2; AC=(-1-3)/(-3+1)=-4/-2=2; BC=(-1-2)/(-3-1)=-3/-4=3/4.
The product of two sides that are perpendicular is -1. Slopes of AB and AC are perpendicular so angle A is a right angle. ABC is a right-angled triangle.
The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
According to the statement
we have given that If 15 actuators have failed and we have to find the probabilities on some conditions.
we know that the formula of probabilities is
probability = possible outcomes / total outcomes
So,
- at least 10 are repairable = 1 - (10 are not repairable)
at least 10 are repairable = 1 - 10/15
at least 10 are repairable = (15 - 10)/15
at least 10 are repairable = (5)/15
at least 10 are repairable = 1/3
- from 3 to 8 are repairable = 3/15 *8/15
from 3 to 8 are repairable = 1/5 *8/15
- exactly 5 are repairable = 5/15
exactly 5 are repairable = 1/3
These are the probabilities of the given conditions.
So, The probabilities of at least 10 are repairable is 1/3. and probabilities of from 3 to 8 are repairable is 1/5*8/15 and probabilities of exactly 5 are repairable is 1/3.
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