The anwser is A: 6.67. you are welcome!
Answer:
4/15
Step-by-step explanation:
to find out the portion that is shaded we can do the following:
1 - (1/3 + 2/5)
now we want a common denominator, we can use 15:
15/15 - (5/15 + 6/15) → 15/15 - 11/15
the answer is 4/15
Step-by-step explanation:
part A
all listed features (A - F) are correct and to be selected.
part B
the average rate of change is
(f(x2) - f(x1)) / (x2 - x1)
so,
(f(0) - f(-2)) / (0 - -2) = (2 - 0) / (0 + 2) = 2/2 = 1
Let
denote the number of packages brought by customer
. If, for instance,
customers are in line, then the total number of packages is
, and

since the number of packages brought by any customer is independent from the number of packages brought by any other.
a.
is the probability that a total of 3 packages are waiting to get wrapped from among a total of 3 customers. This means each customer must have exactly one package. So

b.
is the probability that a total of 11 packages are brought by 4 customers. The only way for there to be 11 packages is if 3 customers bring 3 packages and the last 1 brings 2. There are
ways this can happen, so

Hello!
This is a problem about relating values of the Unit Circle.
First, we need to figure out the specific "points" of each angle measure of 30 and 60.
For the angle measure 30, the point will be
.
For the angle measure 60, the point will be
.
The tangent value of a point will be its
value over its
value.

The cotangent value of a point will be the reciprocal of the tangent value, which we found previously.

The sine value of a point will be the
value of the point.

So the values we have so far are 
Now we have to find the LCD to add these together, which in this case would be 6.

Which adds up to
, which is in simplest radical form.
Hope this helps!