Answer:
(a) 9.9321*10^{-11}
(b) 6.0498*10^{-11}
(c) 7.7120^{-11}
(d) 1.6417 times more probable
Step-by-step explanation:
(a) The probability of winning a 6/49 lottery is given by:

(b) The probability of winning a 6/53 lottery is given by:

(c) The probability of winning a 6/51 lottery is given by:

(d) The ratio between the probabilities of winning the 6/49 lottery and winning the 6/53 lottery is:

It is 1.6417 times more probable.
Answer: A.) The mean is greater than the median, and the majority of the data points are to the left of the mean.
It is clear that most of the data (around 75%) is consist of value 1, which is the leftmost part of the data. Since it was more than 50% of the data, the median should be 1.
if 75% data is 1, it need 25% data with value at least 5 to make the means equal to 2. The means would be bigger than 1 but less than 2, so most(75% data is 1) of the data would be on the left of the mean
The volume of a Cube/Rectangular Prism is Length times Width times Height, (or for short L*w*h).
For a cube, the length, width, and height are equal. So the volume of a cube is L*L*L
In the question it says that the you know the length of one of the cubes sides, which is (x + 5).
So L = (x + 5).
So, the unsimplified expression is:
L * L * L
= (x + 5) (x + 5) (x + 5)
= (x^2 + 10x + 25)(x + 5)
= x^3 + 10x^2 + 25x + 5x^2 + 50x + 125
= x^3 + 15x^2 + 75x + 125
Answer:
Step-by-step explanation:
5y-10 -(2y-3)
5y-10-2y+3
3y-7 is the answer