The easiest way, I think, is to convert the mixed number into an improper fraction, then multiply by 3.
3 1/2 = 7/2
7/2 · 3 = 21/2
now just change the improper fraction back to a mixed number by dividing and putting the remainder into fraction form
21/2 = 10 1/2
You could also multiply the whole number by 3 and the fraction by 3, ending up with 9 3/2, but then have to convert the improper fraction into a mixed number
3/2 = 1 1/2
then add the numbers together
9 + 1 1/2 = 10 1/2
either way works, whatever is easiest for you.
After 20 minutes Clint is on page = 151
After 45 minutes Clint is on page = 181
Time slot =
minutes
Difference in pages in 25 minutes =
pages.
Lets suppose Clint is reading each page at same pace.
So , In 25 minutes, he can read = 30 pages
In 1 minute he can read =
pages
Initial time is 20 minutes, so he can read the number of pages in 20 minutes = 
So, number of pages Clint read prior to study hall were =
pages.
The discrete uniform distribution is on the interval 8 ≤ x ≤ 10.
Therefore the probability density function (shown in the figure) is
P(x) = 1/3 = 1/3 for x = 8, 9, 10
= 0 otherwse
The mean is μ = 1/3.
The variance is
σ² = Σp(x) (x- μ)²
Because x - μ = 0 for x = 8,9,10, therefore
σ² = 0
Answer:
μ = 1/3
σ² = 0
Answer:
If you are <u>traversing squares</u> then 7 different paths can be taken
If you are <u>traversing edges </u> then 36 different paths can be taken
Step-by-step explanation:
I have attached a picture that would describe the grid which is 7 units long.
The solution to the general problem is if you have to take X right steps, and Y down steps then the number of routes is simply the ways of choosing where to take the down (or right) steps. Such that:

Basically its the combination of terms.
In this problem,
If you are <u>traversing squares</u> then there are 6 right steps and 1 down step,
7 C 1 = 7 C 6= 7
If you are <u>traversing edges </u> then there are 7 right steps and 2 down steps:
9 C 2 = 9 C 7= 36
So first you have to find the perfect square that matches up with x^2 + 6x
so half of 6, and square it. your perfect square is 9
x^2 + 6x + 9 = 7 + 9
then, condense the left side of the equation into a squared binomial:
(x + 3)^2 = 16
take the square root of both sides:
x + 3 = ± √16
therefore:
x + 3 = ± 4
x = - 3 ± 4
so your solution set is:
x = 1, -7