Revenue = price * number of backpacks
number of backpacks = -2p + 50
p = 9 ; -2(9) + 50 = -18 + 50 = 32
revenue = 9 * 32 = 288
p = 12 ; -2(12) + 50 = -24 + 50 = 26
revenue = 12 * 26 = 312
<u>p = 12.50 ; -2(12.50) + 50 = -25 + 50 = 25</u>
<u>revenue = 12.50 * 25 = 312.50</u> GIVES THE MAXIMUM REVENUE
p = 15 ; -2(15) + 50 = -30 + 50 = 20
revenue = 15 * 20 = 300
A. 18.60, because you multiply 18.6 by .05 to get .93, and then subtract .93 from 18.6 to get 17.67.
Answer: The minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Step-by-step explanation:
Hi, to answer this question we have to solve the given equation: |x – 500| = 8.
The modulus can take a positive value (x - 500) or a negative value (-x+500).
- <em>For the positive value:
</em>
x -500 = 8
x = 8+500
x =508
- <em>For the negative value:
</em>
- (x -500) =8
-x +500 =8
500 -8 = x
492 =x
So, the minimum and maximum distances that Morgan's dog may be from the house are 508 meters and 492 meters.
Feel free to ask for more if needed or if you did not understand something.
Answer: B. -(x-2)^2 + 3
The vertex of the parabola is (2,3) so we can plug in those values into the equation for vertex form. And the parabola is facing down, so we know the function is multiplied by -1.
Therefore the equation is -(x-2)^2 + 3
Look at the attached image to see what vertex form is
Correct question:
An urn contains 3 red and 7 black balls. Players A and B withdraw balls from the urn consecutively until a red ball is selected. Find the probability that A selects the red ball. (A draws the first ball, then B, and so on. There is no replacement of the balls drawn).
Answer:
The probability that A selects the red ball is 58.33 %
Step-by-step explanation:
A selects the red ball if the first red ball is drawn 1st, 3rd, 5th or 7th
1st selection: 9C2
3rd selection: 7C2
5th selection: 5C2
7th selection: 3C2
9C2 = (9!) / (7!2!) = 36
7C2 = (7!) / (5!2!) = 21
5C2 = (5!) / (3!2!) = 10
3C2 = (3!) / (2!) = 3
sum of all the possible events = 36 + 21 + 10 + 3 = 70
Total possible outcome of selecting the red ball = 10C3
10C3 = (10!) / (7!3!)
= 120
The probability that A selects the red ball is sum of all the possible events divided by the total possible outcome.
P( A selects the red ball) = 70 / 120
= 0.5833
= 58.33 %
