Answer:
no of movies (m), by Tim = 13
Step-by-step explanation:
Julie payment = constant 70 + 4.25 per additional movie = 70 + 4.25 m
Tim payment = constant 49.5 + 5.5 per additional movie = 49.5 + 5.5 m
Julie order = 12 movies. So, final payment = 70 + 4.25 (12) = 70 + 51 = 121
Equalising Tim's equation, for finding Tim's movies for same final amount , 121 = 49.5 + 5.5 m → 5.5m = 121 - 49.5 = 71.5 → m = 71.5 / 5.5 = 13
Answer:
46050
Step-by-step explanation:
75x614
To solve the problem we must set the equation for the volume and surface area
let x be the side of the square base
and h be the height of the box
so the volume , v = hx^2
and the area, a = x^2 + xh = 56
then solve for the equation of h
x^2 + xh = 56
xh = 56 - x^2
h = 56/x - x
to solve the maximum volume, solve the first derivative of the volume and equate to zero
v = hx^2
v = (56/x - x) x^2
v = 56x - x^3
dv/dx = 56 - 3x^2
0 = 56 - 3x^2
3x^2 = 56
x = 4.32 ft
h = 8.64 ft
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Answer:
1.6 cups of sugar
Step-by-step explanation:
0.4 cups per batch.
4 batches.
Total sugar required = 0.4 x 4
= 1.6 cups of sugar