If you mean by simplifing it then it must be 4/11
Mrs singer is making cookies for all of her classes this Friday the recipe calls for 1/2 cup sugar into 1/2 cups of water for one batch of cookies one batch makes 24 cookies she need enough for 72 students how much sugar much he have for 72 students show your work
Answer:
The mean is <em>c). 67</em>
Step-by-step explanation:
You must use the weighted average in order to calculate the mean, given that we know the frequency distribution.
In order to to this, you calculate the proportion that the frequency on each interval represents out of the total frequencies; in other words, this is the weight value:
These are the factors by which you will multiply the speed so that you can get the average speed in terms of their weight. For each interval of speed, let's take the average between the minimum and the maximum as the value of speed.
After these two transformations, your table will look as this:
Then, you multiply the average speed times its weight value, finding the weighting factor:
The final step is to sum all the weighting factors, which gives you a total of 67 mph. This is your weighted average.
We can create two equations here:
(1) Volume = area of square * height of box
85.75 = s^2 h
(2) Cost = 3 * area of square + 1.5 * area of side box
C = 3 s^2 + 1.5 s h
From (1), we get:
h = 85.75 / s^2
Combining this with (2):
C = 3 s^2 + 1.5 s (85.75 / s^2)
C = 3 s^2 + 128.625 s-
Taking the 1st derivative and equating dC/ds =
0:
dC/ds = 6s – 128.625 / s^2 = 0
Multiply all by s^2:
6s^3 – 128.625 = 0
6s^3 = 128.625
s = 2.78 cm
So h is:
h = 85.75 / s^2 = 85.75 / (2.78)^2
h = 11.10 cm
So the dimensions are 2.78 cm x 2.78 cm x 11.10 cm
The total cost now is:
C = 3 (2.78)^2 + 1.5 (2.78) (11.10)
C = $69.47
Answer:
12 units!
Step-by-step explanation: