Answer:
Constant of proportionality should be 48.
Step-by-step explanation:
Given that a small pie factory needs to ship 360 pies a day to stay profitable. 180 pies are baked every 3 hours. Of the baked pies, 20% go directly to freezer storage and 80% are loaded on a truck for delivery.
Now we need to find about what is the constant of proportionality for the number of pies baked and loaded on a truck for delivery.
Number of baked pies = 180
Number of pies loaded on truck for delivery = 80% of baked pies
= 0.80(180)= 144 in 3 hours.
So number of pies loaded per hour = 144/3= 48
Hence constant of proportionality should be 48.
Answer:
The p-value of the test is 0.031. How should he interpret the p-value as "There is a 96.9% chance that the true mean of soup sales at the new location is greater than 75 bowls a day"
Step-by-step explanation:
P-value"In statistical hypothesis testing, the p-value or probability value is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct"
Answer:
Step-by-step explanation:
Multiply by 10 on both sides,
so
Answer:
3.5 = x + 4*y
4 = 2x + 2*y
Step-by-step explanation:
The total distance ran by Avi is the sum of the distance from his house to the track, and the total distance ran in the tracks (that is, the distance of one lap times the number of laps Avi ran).
If we call 'd' the total distance and 'k' the number of laps, we have the equation:
d = x + k*y
So with the data given, we can have the following system:
3.5 = x + 4*y
4 = 2x + 2*y
In the second equation, we have 2x because Avi ran from his home to the track, and in the end ran back home, so Avi ran the distance x two times.
Answer:
Step-by-step explanation:
Simplifying
4x + 5 = 33
Reorder the terms:
5 + 4x = 33
Solving
5 + 4x = 33
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + 4x = 33 + -5
Combine like terms: 5 + -5 = 0
0 + 4x = 33 + -5
4x = 33 + -5
Combine like terms: 33 + -5 = 28
4x = 28
Divide each side by '4'.
x = 7
Simplifying
x = 7
