Step-by-step explanation:
As you found in parts a and b, p = 840 − 2x, and R(x) = -2x² + 840x.
For part c, profit = revenue − cost.
P(x) = R(x) − C(x)
P(x) = -2x² + 840x − (2x² + 15x + 1500)
P(x) = -2x² + 840x − 2x² − 15x − 1500
P(x) = -4x² + 825x − 1500
The maximum profit is at the vertex of the parabola.
x = -b / (2a)
x = -825 / (2 × -4)
x = 103.125
Or, we can use calculus:
P'(x) = -8x + 825
0 = -8x + 825
x = 103.125
Rounding, the manufacturer should produce 103 refrigerators each week.
The first step is to find out how question in total she is able to miss, while still passing.
We know that there are questions on the test and she must get % of the questions correct.
Let's calculate how many questions that is:
40 x 0.70
= 28.
<em>Subtract</em>
<em>40 - 28 </em>
<em>= 12.</em>
She is able to get 12 answers incorrect.
Now we must find out how many questions she got wrong when she got 40% of the first 15 correct.
If she got 40% correct; She got 60% incorrect.
Let's do the math:
<em>Multiply:</em>
<em>15 x 0.40</em>
<em>= 6</em>
<em>Subtract:</em>
<em>15 - 6 </em>
<em>= 9</em>
This means that she got 6 questions correct, and 9 questions incorrect.
With the total allotment of 12 incorrect answers allowed, she can only get 3 more questions wrong.
Now we must find the percentage of the remaining 25 questions she can get wrong.
She can only get 3 wrong and she must get 22 correct.
<em />
<em>Multiply:</em>
<em>22 x 4 </em>
<em>= 88.</em>
This means that she has to get 88% of the remaining 25 questions correct.
<em />
Answer A. 17
Step-by-step explanation: The cost, in dollars is increasing by $1.05 by 1’s. To get from 1.05 to 2.10 is 1.05. So to find the Gallons of Gas, you would keep adding 1.05 until you get 17.85 or you can multiply the numbers in the answer choice by 1.05 to get your answer.
To find :-
- What percent is 700 paise of 7 rupees .
Solution :-
As we know that,
→ ₹1 = 100 p
So ,
→ 700p = ₹ 700/100
→ 700p = ₹ 7
Now let's calculate % , as ;
→ 700p / ₹7 * 100 %
→ ₹7/₹7 *100 %
→ 1 *100%
→ 100%
<u>Hence</u><u> </u><u>7</u><u>0</u><u>0</u><u>p</u><u> </u><u>is </u><u>100%</u><u> </u><u>of </u><u>₹</u><u>7</u><u> </u><u>.</u>
I hope this helps.
Answer:
Area to the right is 0.813
Step-by-step explanation:
Since the area under the full normal distribution should render "1" (one), then the area to the right of x should be:
1 - area to the left of x = 1 - 0.187 = 0.813