The two black circles represents "The selling prices that produces no profit." If the selling is 10, the profit is 0. If the selling price is 60, the profit is 0.
The selling price that provides the maximum profit is represented by the red dot. It is between the selling price of 30 and 40. Its maximum profit is equal to 12,000.
Let c=cost of cherry and s=cost of strawberry cheesecakes.
12c+14s=214
6c+11s=151.
So 12c+22s=302 subtract 12c+14s=214:
8s=88, so s=$11 and 6c=151-11s=151-121=$30.
The cost of one cherry cheesecake is $30 and of one strawberry is $11.
The cost of the sum of both is $41.
5
Ac= 10 inches is the diameter
Fa is the half of the circle so divided 2 to get 5
The given data is
Scores: 90-99 80-89 70-79 60-69 50-59
Students: 3 7 12 4 4
Because we are to take the middle value for each group.
Therefore the total score is
Sx = 3*94.5 + 7*84.5 + 12*74.5 + 4*64.5 + 4*54.5 = 2245
The number of students is 3+7+12+4+4 = 30
The mean is
m =2245/30 = 74.833
Calculate (Sx - m)²
(Sx - m)² = 3*(94.5-74.833)² + 7*(84.5-74.833)² + 12*(64.5-74.833)²
+ 4*(64.5-74.833)² + 4*(54.5-74.833)² = 3896.7
Calculate the standard deviation
s = √(3896.7/29) = 11.592
Answer:
mean = 74.83
std. deviation = 11.59
Answer:
44 cm²
Step-by-step explanation:
To find the area of a compound figure like this, we can divide the shape into various rectangles and compute the areas of them separately before adding them together.
There are several ways to divide this shape, but for this we will section the shape into a 3×3 square, 4×2 rectangle, and a 3×9 rectangle.
To find the areas of them, multiple the length by the width.
For the 3×3 square at the top right-


The square is 9 cm².
For the 4×2 rectangle at the top left-


The rectangle is 8 cm².
For the 3×9 rectangle at the bottom-


The rectangle is 27 cm².
Now that we have the areas of each individual piece of the figure, we can add them together to find the total area of the shape.


The area of the figure is 44 cm².
I hope this helps ^^ Good luck :)