Answer:

Step-by-step explanation:
We are given that A rose garden can be planted for $4000.
The marginal cost of growing a rose is estimated to $0.30,
Let x be the number of roses
So, Marginal cost of growing x roses = 
Total cost = 
So, Cost function :
---A
Now we are given that the total revenue from selling 500 roses is estimated to $875
So, Marginal revenue = 
Marginal revenue = 
Marginal revenue =
Marginal revenue for x roses = 
So, Revenue function =
----B
Profit = Revenue - Cost

---C
Now Plot A , B and C on Graph
-- Green
-- Purple
--- Black
Refer the attached graph
Answer:
A. -4
Step-by-step explanation:
Slope is rise over run, or y2-y1 / x2-x1.

<u>The slope is A. -4.</u>
Let's see--does that make sense? A slope of four would be pretty steep, and that matches the graph. It also should be negative because the line goes down and to the right, not up and to the right, so -4 makes sense!
They have the same slope, but g(x) intercepts the y axis higher.
Answer:
0.762 = 76.2% probability that this shipment is accepted
Step-by-step explanation:
For each pen, there are only two possible outcomes. Either it is defective, or it is not. The probability of a pen being defective is independent from other pens. So we use the binomial probability distribution to solve this question.
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.
17 randomly selected pens
This means that 
(a) Find the probability that this shipment is accepted if 10% of the total shipment is defective. (Use 3 decimal places.)
This is
when
. So






0.762 = 76.2% probability that this shipment is accepted
0.90 Is the answer hello hi ahsiodend