Answer:
D
Step-by-step explanation:
P(A)=0.3
P(B)=0.1
P(A)×P(B)=0.3×0.1=0.03
P(A and B)=P(A)×P(B)
They are independent.
Answer:
Step-by-step explanation:
(21²+10²)½ = 23.25= 23.3
Bonjour!
For A, the two angles are congruent by the Corresponding Angles are Congruent Theorem/Postulate.
For B, the two angles are congruent by the Vertical Angels are Congruent Theorem/Postulate.
As for C, the two angles are congruent by the Same Side Exterior Theorem/Postulate.(Though I am uncertain if that is the correct name for this one)
Hope that helps :)
9514 1404 393
Answer:
273 m
Step-by-step explanation:
The tower represents the short side of a 30°-60°-90° right triangle. The distance from the tower represents the long leg, not the hypotenuse, of that triangle. It is √3 times the short side. In this geometry, man B is 100√3 = 173.2 meters from the tower.
The tower represents one of two congruent sides of a 45°-45°-90° right triangle. Man A will be standing 100 meters from the tower.
The distance between A and B is 100 +173.2 = 273.2 meters. The men are about 273 meters apart.
Answer:
The probability that the all three votes are Democrats
P(X=3) = 0.1038
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the all voters are democrats
The probability that the all voters are democrats
p = 47% =0.47
q = 1-p =1-0.47 = 0.53
<u><em>Step(ii):-</em></u>
Let 'X' be the random variable in binomial distribution
The probability that the all three votes are Democrats
P(X=3) = 0.1038
n=3 and r=3
P(X=3) = 0.1038
<u>Final answer:-</u>
The probability that the all three votes are Democrats
P(X=3) = 0.1038
<u></u>
