Answer:
You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.
The probability of selecting a red marble the first time is 1313.
(This is because 4 out of 12 marbles are red and412412 reduces to 1313.
The probability of selecting a red marble the second time is 1313.
The marble selections are independent and you can multiply the two probabilities to get the following:
probability of getting 2 reds = (13)2(13)2
=19=19.
So the probability of getting two reds is 1919.
147 is not a prime number 147= 49 * 3
49 is divisable by 7: 49= 7 * 7
7 is not divisable by anything
Answer:
1. True
2. False
3. True
Step-by-step explanation:
1. (x,y) = (3,1). x = 3; y = 1
2. Vertical is y and horizontal is x
3. The origin is (0,0), The only time these two x and y axis intercept.
1. The surface that will be exposed to the rain is the lateral surface of the cylinder and the hemisphere.
2. The lateral area of the cylinder is a rectangle with height equal to the height of the cylinder and width equal to the circumference of the base of the cylinder.
3. the circumference of the base = 2

r=2*

*5=10

so the lateral area = 10

*h=10

*40=400

(

)
4. The surface area of a sphere is

so the surface of the hemisphere =

(

)
5. Total area exposed = 450