Assuming the dice rolls are independent, the probability of getting doubles is
. (That is, there are 6 ways of getting doubles, and the probability of getting a given face is 1/6.)
So the event of getting doubles in a set number of
trials is binomially distributed with
(and so
).
You're given that
. If
is a random variable representing the number of doubles obtained in
trials, then the probability of getting
doubles is given by the PMF,
1. Given that the width of the rectangle is x, and the area of the rectangle may be represented by the equation x^2 + 5x = 300, we can solve this equation for the width (x) as such:
x^2 + 5x = 300
x^2 + 5x - 300 = 0 (Subtract 300 from both sides)
(x - 15)(x + 20) = 0 (Factorise x^2 + 5x - 300)
From this, we get: x = 15 or x = -20
Since the width must be a positive length (ie. more than 0), -20 would be an invalid answer in the given context and thus the width is given by x = 15.
2. If we know that the length is 5 inches more than the width, we simply need to add 5 to the width we found above to obtain the length:
Length = x + 5
Length = 15 + 5 = 20
Thus, the width of the rectangle is 15 inches and the length of the rectangle is 20 inches.
Answer:
D
Step-by-step explanation:
goodluck!
Answer:
The mode cannot be determined.
Step-by-step explanation:
The reason it cannot be determined is because there is no common value since they all appear just once.