50p-40p+25-p
9p+25 is the answer.
1. Write down the decimal divided by 1
2. Multiply both top and bottom by 10
3. Simplify the fraction.
Answer:
Yes the relationship is linear and given by:
(first option of your list)
Step-by-step explanation:
Yes, it is a linear expression. As we did in previous exercises, we calculate the difference between consecutive y values of the table, and write down the answers we get:
-7-(-2) = -7+2 = -5
-12-(-7) = -12 +7 = -5
-17 - (-12) = -17 + 12 = -5
We notice that all of them give "-5"
Now we evaluate the difference between consecutive x-values in a similar fashion:
-5 -(-9) = -5+9 = 4
-1-(-5) = -1+5 = 4
3-(-1) = 3+1 = 4
We see that they all give 4 as the difference.
That means that the rate of change 
This means that the slope (rate of change) of the line is "-5/4"
We can now use the general point-slope form to write the equation of the line, using the first pair of the table as our selected point, and using "-5/4" for the slope:

which is the first expression listed among your possible answer choices.
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
Answer:
B) 0.283
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
25% of the students drive themselves to school.
This means that 
Class of 18 students
This means that 
What would be the probability that at least 6 students drive themselves to school?
This is

In which

So









Closest option is B, just a small rounding difference.