Answer:
a) 131/450
b) 1233/1276
Step-by-step explanation:
P(bad) = P(1st batch)*P(bad 1st batch ) + P(2nd batch )*P(bad 2nd batch) + P(3rd batch )*P(bad 3rd batch)
p(bad) =(60/360)*(1/3) + (120/360)*(1/4 ) + (180/360)*(1/5)
= 43/180
And that of P(good )
= 1 - 43/180
= 137/180
a)
P(defective) = P(bad)*P(defective /bad) + P(good)*P(defective /good)
= (43/180)*(9/10) + (137/180)*(1/10)
= 131/450
b)
P(Bc I Dc ) = P(good)*P(not defective |good) / P(not defective)
= (137/180)*(1 - 1/10) / (1 - 131/450)
= 1233/1276
Answer:
Total number of dogs is 5.
Step-by-step explanation:
Cups of food each dog gets=
Here,each dog eats two-third cups of dog food.
Amount of dog food used=
A total of three and one-third cups of food is used up.
Let the number of dogs be x.
To find the number of dogs,divide total dog food used by the amount of dog food eaten by each dog.
Hence, x =
x =
x =5
Answer:
14/15
Step-by-step explanation:
P(S or T) = P(S) + P(T) = 3/5 + 1/3
= 9/15 + 5/15 = 14/15
Answer:
sin x° = Opposite / Hypotenuse
x = 3.38
Step-by-step explanation:
sin 70° = x / 3.6
sin 70° × 3.6 = x
x = 0.93969262079 × 3.6
x = 3.38289343483 ~ 3.38