Answer: (a) 0.006
(b) 0.027
Step-by-step explanation:
Given : P(AA) = 0.3 and P(AAA) = 0.70
Let event that a bulb is defective be denoted by D and not defective be D';
Conditional probabilities given are :
P(D/AA) = 0.02 and P(D/AAA) = 0.03
Thus P(D'/AA) = 1 - 0.02 = 0.98
and P(D'/AAA) = 1 - 0.03 = 0.97
(a) P(bulb from AA and defective) = P ( AA and D)
= P(AA) x P(D/AA)
= 0.3 x 0.02 = 0.006
(b) P(Defective) = P(from AA and defective) + P( from AAA and defective)
= P(AA) x P(D/AA) + P(AAA) x P(D/AAA)
= 0.3(0.02) + 0.70(0.03)
= 0.027
Step-by-step explanation:
what is the main condition the lengths of the sides of a right-angled triangle have to fulfill ?
Pythagoras !
c² = a² + b²
c is the Hypotenuse (the baseline opposite of the 90 degree angle), a and b are the so-called legs (the sides enclosing the 90 degree angle).
only if there is a combination of the sides, for which the Pythagoras equation is true, do we have a right-angled triangle. otherwise not.
we also know CA = 18 - 7 - 3 = 8 cm
so, let's try
8² = 7² + 3²
64 = 49 + 9 = 58 wrong
7² = 8² + 3²
49 = 64 + 9 = 73 wrong
3² = 8² + 7²
9 = 64 + 49 = 113 wrong
so, there is no combination, where the Pythagoras equation is true, so it is NOT a right-angled triangle.
(0,2),(-2,-1),(2,5)
-3x+2y=2
+3x +3x
2y/2=3x+2/2
y=1 1/2x+2
Plug in numbers for x then solve for y
Answer: 
Step-by-step explanation:
(slope = m)
