Answer:
The probability of the chosen ball being shiny conditional on it being red is; 0.375
Step-by-step explanation:
Let A be the event that a red ball has been chosen
Let B be the event that a shiny ball has been chosen
Let S be the total outcomes = 150 balls
Thus;
P(A ∩ B ) = 36/150
A ∩ B' = 150 - 36 - 54
A ∩ B' = 60
Thus; P(A ∩ B') = 60/150
P(A') = 54/150
P(A) = (150 - 54)/150 = 96/150
Thus, probability of the chosen ball being shiny conditional on it being red is;
P(B | A) = P(B ∩ A)/P(A)
Thus; P(B | A) = (36/150)/(96/150)
P(B | A) = 0.375
Her horizontal distance to the rim satisfies the ratio
(10 ft -6 ft)/distance = tan(25°)
so the distance is
distance = (4 ft)/tan(25°) ≈ 9 ft
Answer:14
Step-by-step explanation:
x+y=56
x:y=5:3
Sum of ratio=5+3
Sum of ratio=8
x=5/8x56
x=(5x56) ➗ 8
x=280 ➗ 8
x=35
y=3/8x56
y=(3x56) ➗ 8
y=168 ➗ 8
y=21
x-y
35-21=14
x-y=14
Answer:
X+Y=26
X-Y=12
Step-by-step explanation:
fiction books= X
non fiction books= Y
then,
fiction books= X
non fiction books = X-12
but Y= X - 12
from. the statement,
X+Y = 26
X-Y=12
Hope i help <span>42/2= 21
21 / 3 = 7
Answer=2 x 3 x 7</span>