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
Answer: b. 3x + 2
Step-by-step explanation:
2l + 2w = p
2l + 2(2x - 1) = 10x + 2
2l + 4x - 2 = 10x + 2
2l = 6x + 4
l = 3x + 2
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles
Answer:
1,100
Step-by-step explanation:
Answer:
105 sq cm
Step-by-step explanation:
The bottom rectangle is 6 x 15 = 90 sq cm
The triangle at the top has a length of 15 - 9 = 6 cm and a height of 11 - 6 = 5 cm.
A triangle is 1/2bh so 1/2 x 6 x 5 = 15 sq cm
Add the areas together
