He needs one more quart. That is half of a gallon.
Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
This is one example of a trinomial with a leading coefficient of 3 and a constant term of -5
Answer:
(a) 0.2885
(b) 0.0736
(c) 0.0468
Step-by-step explanation:
The exponential distribution of Wendy's service time is given by:
P(x) = [exp (-x/μ)]/μ............................................................................ (1)
P(x) = Probability function
x = Service time, in minute
μ = average service team, in minute, 2.2 minutes
(a) x= 1, substituting into equation (1) we have:
P(1) = [exp (-1/2.2)]/2.2
= 0.6347/2.2
= 0.2885
(b) x₁ = 0.5 minutes
x₂ = 1 minute
P (0.5<x<1) = P(0.5) -P(1) ----------------------------------------------- (2)
From (a), P (1) = 0.2885
P(0.5) =P(1) = [exp (-0.5/2.2)]/2.2
= 0.7967/2.2
= 0.3621
Substituting into (2), we have :
P (0.5<x<1) = 0.3621 -0.2885
= 0.0736
(c) P(5) = [exp (-5/2.2)]/2.2
= 0.1030/2.2
= 0.0468
Answer:
5,15,20,24,32
Step-by-step explanation:
