Total number of balls = 50
Balls numbered as multiple of 10 = 5
Balls with red dot on them = 6
Balls numbered as multiple of 10 and having red dot on them = 1 (i.e. Ball with number 40 on it)
Probability of Ball being numbered as multiple of 10 = P(T) = 5/50 = 1/10
Probability of Ball being marked by the dot = P(D) = 6/50 = 3/25
Probability of Ball being numbered as multiple of 10 and having a red dot on it = P (T ∩ D) = 1/50
The "or" ,"union" of two events can be expressed as:
P(T ∪ D) = P(T) + P(D) - P (T ∩ D)
Using the values, we get:
P(T ∪ D) =
Thus, the probability that the ball is numbered with a multiple of 10 or has a red dot is 1/5 or 0.2
The dinner will cost $250 today.
<u><em>Explanation</em></u>
The price of a four-star dinner was $100 two decades ago and now the cost of the dinner is 250% of what it was 20 years ago.
So for finding the current cost, we will find 250% of $100 .
First we need to make 250% as decimal form after dividing it by 100. So....
250% = 
Now we will multiply this 2.50 with $100 for getting the current cost of the dinner.
Thus, the current cost 
Answer:
a) 0.06048 b) 0.001344 c) 0.000294
Step-by-step explanation:
number of distributors = 10;
number of orders = 7
a)
There are 10 distributors for each order, so the no. of ways the 7 orders could be placed are = 10⁷ =10000000
no. of ways that orders goes to different distributors = ¹⁰C₇*7! = 604800
Probability = 604800/10000000 = 0.06048
b)
number of ways distributor 1 gets exactly 2 and distributor 2 gets exactly 3 orders = ⁷C₂*⁵C₃*8² = 13440
probability = 13440/10000000 = 0.001344
c)
number of ways distributor 1, 2,3 get exactly 2,3 and 1 order(s) = ⁷C₂*⁵C₃*²C₁*7¹ = 2940
probability = 2940/10000000 = 0.000294
You haven't given us the vector, and there an infinite number of planes through the two points.
The formula for the surface area of a cylinder is pi×2rh+2pi(r^2)
In this problem, r is 4 in and h is 16 in