Answer:
P(algebra, then statistics) = 7/80
Step-by-step explanation:
The total number of books is 7 + 8 + 5 = 20.
1. P(algebra, then statistics)
The probability that the first book is an algebra book is 7/20.
Carlos then replaces the book, so the total is still 20.
The probability that the second book is a statistics book is 5/20.
Therefore, the total probability is:
P(algebra, then statistics) = 7/20 × 5/20
P(algebra, then statistics) = 7/80
Answer:
The shop can cut the cost of production per sandwich to $3.75. The revenue function would then be defined as R(x)=9x.
Step-by-step explanation:
We want to make as big profit as possible by making as little sandwiches as possible. This means that we want the profit, which is
to be as big as possible.
For the first choice the profit per sandwich is
dollars.
For the second choice the profit per sandwich is
dollars.
For the third choice the profit per sandwich is
dollars.
We see here that for the second choice the profit is greatest, therefore this choice is most suitably correct.
If it is a right triangle and you given me adjacent and opposite the formula is

third side = 21.93
if its not right triangle you need the angle to solve
The equation is 30x + 25
since the x is with the 30, that would be the cost per lesson, because you would multiply 30 by the number of lessons(x)
Answer:
Either
(approximately
) or
(approximately
.)
Step-by-step explanation:
Let
denote the first term of this geometric series, and let
denote the common ratio of this geometric series.
The first five terms of this series would be:
First equation:
.
Second equation:
.
Rewrite and simplify the first equation.
.
Therefore, the first equation becomes:
..
Similarly, rewrite and simplify the second equation:
.
Therefore, the second equation becomes:
.
Take the quotient between these two equations:
.
Simplify and solve for
:
.
.
Either
or
.
Assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.
Similarly, assume that
. Substitute back to either of the two original equations to show that
.
Calculate the sum of the first five terms:
.