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
The table indicates a y-value of 115 when x = 0. That corresponds to the y-intercpt of the equation.
The table values increase by 64 for each increase of 2 in x-value. That corresponds to the slope (32) of the equation.
Yes, the equation and the table represent the same function.
Answer:
37°
Step-by-step explanation:
ΔOPQ extended trough Q to R
m∠PQR = (7x-19)° -is an exterior angle to the triangle
m∠OPQ = (2x-3)° -angle inside the triangle
m∠QOP = (x+16)° -angle inside the triangle
m∠PQR = ?
m∠PQR = m∠OPQ + m∠QOP
7x-19 = 2x-3 +x+16
7x -2x-x = 16-3+19
4x = 32
x=32/4=8
m∠PQR = 7x-19 = 7*8-19 =56 -19= 37°
