A = event that the ball drawn from urn #1 is white
B = event that the ball drawn from urn #2 is white
P(A) = probability of event A
P(A) = (number of white in urn #1)/(number total in urn #1)
P(A) = 3/(3+6)
P(A) = 3/9
P(A) = 1/3
P(B) = probability of event B
P(B) = (number of white in urn #2)/(number total in urn #2)
P(B) = 3/(3+8)
P(B) = 3/11
Because A and B are independent events, we can multiply the probabilities
P(A and B) = P(A)*P(B)
P(A and B) = (1/3)*(3/11)
P(A and B) = (1*3)/(3*11)
P(A and B) = 1/11
Answer: Choice A) 1/11
Answer:
1
Step-by-step explanation:
Given the question above :
The probability distribution :
X : ___ 1 ___ 2 ___ 3 ___ 4 ____ 5
P(x): _ 0.1 __ 0.1 __ 0.6 _ 0.1 __ 0.1
The Variance : Var(X) = (Σx²*p(x)) - μ²
μ = E(X) = Σ(X * p(x)) :
Σ(X * p(x)) = (1*0.1)+(2*0.1)+(3*0.6)+(4*0.1)+(5*0.1)
μ = 3
Var(X): [(1^2*0.1)+(2^2*0.1)+(3^2*0.6)+(4^2*0.1)+(5^2*0.1)] - 3²
= 10 - 9
= 1
Hence. Variance = 1
Answer:
425ft.
Step-by-step explanation:
Just add 395 and 30 together.
Hope this helps. Pls give brainliest!
Answer:
C= 22.65 + 0.65M
Step-by-step explanation:
The question isn't complete without values. Assuming the following is the complete question: A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function S=16.95+0.40M, where M is the number of miles driven.
The company also offers an insurance option to insure the car against damage. The insurance charge (in dollars) is given by the function I=5.70+0.25M.
Let C be the total charge in dollars for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible
SOLUTION
Solving the question based on the above complete question:
Standard charge = S = 16.95 + 0.40M
M= number of miles
Insurance charge = I = 5.70 + 0.25M
C = total charge in dollars
Relationship between C and M:
Total charge = standard charge + insurance charge
C = S + I
C = (16.95+ 0.40M)+ (5.70 + 0.25M)
C= 16.95+ 5.7 + 0.40M + 0.25M
Collect like terms by adding together
C= 22.65 + 0.65M
Answer:
Step-by-step explanation:
Like prisms, the volume is found by multiplying the area of one end of the cylinder (base) by its height.
Since the end (base) of a cylinder is a circle, the area of that circle is given by the formula:
area =πr^2
Multiplying by the height h we get
volume =πr^2h
where:
π is Pi, approximately 3.142
r is the radius of the circular end of the cylinder
h height of the cylinder
