Answer:
B
Step-by-step explanation:
this equation is in the form of ax^2+bx+c
so a is 4, b is -9, and c is 8
Answer: if you want 3/6 in simplifed form it will be 1/2
Step-by-step explanation: Find the Least common denominator ( LCD). Then add the numerators.
Because the sectors are of equal size, each sector has the same probability of happening.
So for every number, you have a probability of 0.2 of it appearing.
Because you have three odd numbers, the probability to land on an odd number on each spin is 0.6. You can also say that the probability to not have an odd number is 0.4.
So what is the probability to have 0 odd number in two spins?
What is the probability to have 1 odd number in two spins? You can have one odd number on the first or one odd on the second spin, that is why we add the probabilities.
What is the probability to have 2 odd numbers in two spins?
To verify if we did a good job, we add all the probabilities. We should get 1.
.
So to slide your bars, you slide them up to the number I gave you for each case.
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%
When you divide the number the remainder is 6