Answer:
the perimeter of the rectangle = 2(length + width)
= 2(4x^2 + 2 feet + 5x^2 + 3x feet )
= 2(4x^2 + 5x^2 + 2+ 3x)feet
= 2(x^2(4+5) + 2+ 3x) feet
= 2(9x^2 + 3x + 2)feet
= 18x^2 + 6x +4 feet
Step-by-step explanation:
The probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute is 0.3749 or 37.49%
The Mean of the uniform distribution for an interval from a to b is given by the formula :
μ =
Here, the given interval is from 7.5 to 10.5 gallons per minute, that means a= 7.5 and b= 10.5
So, Mean(μ) =
Now, the standard deviation of the uniform distribution is given by the formula:
σ =
So, the standard deviation(σ) =
As we need to find the probability that between 8.0 gallons and 9.0 gallons are pumped, so now we will find z-score for both 8.0 and 9.0
The formula for z-score: z = (X - μ)/σ
So, z(X= 8.0) =
and z(X= 9.0) =
Now according to the z-score table, P(z=-1.1547) = 0.1251 and P(z=0) = 0.5
So, P(8.0 < x < 9.0)
= P(-1.1547 < z <0)
= 0.5 - 0.1251
= 0.3749
= 37.49%
Thus, the probability that between 8.0 gallons and 9.0 gallons are pumped during a randomly selected minute is 0.3749 or 37.49%
Answer: B
Step-by-step explanation:
Length x Width = Area
8 feet x width = 96 sq ft
8w = 96
Answer:
a^2 + b^2 + c^2 +2ab + 2ac + 2bc