What you must do for this case is to extract the relationship of the grapes that were eaten yesterday among the grapes that were eaten today.
To do it, let:
x: number of grapes that Reza ate yesterday
(x / 20) = (100/400).
Clearing x we have:
x = (100/400) * (20) = 5
answer
the number of grapes Reza ate yesterday was 5
Answer:
Step-by-step explanation:
volume=1/3×πr²h
=1/3π×(11.2/2)²×5.9
=1/3×22/7×(5.6)²×5.9
≈1/3×22×5.6×8×5.9
≈1938.3 in³
Answer:
This study is good because we have minimized sampling error.
Step-by-step explanation:
We are given that . The researcher has two groups.
The researcher classifies the students based on when they volunteer for the study.
The first 50 students who volunteer receive online instruction. The next 50 receive instruction by attending a class with a teacher.
A. This study is poor because the researcher did not use random sampling.
B. This study is poor because the researcher did used random sampling.
C. This study is good because we have minimized sampling error.
D. This study is good due to the equal sample size in each group.
Option C is true : This study is good because we have minimized sampling error.
Answer:
130 cars.
Step-by-step explanation:
The cost function is given by:
C(x) = 0.9x^2 -234x + 23,194; where x is the input and C is the total cost of production.
To find the minimum the unit cost, there must be a certain number of cars which have to be produced. To find that, take the first derivative of C(x) with respect to x:
C'(x) = 2(0.9x) - 234 = 1.8x - 234.
To minimize the cost, put C'(x) = 0. Therefore:
1.8x - 234 = 0.
Solving for x gives:
1.8x = 234.
x = 234/1.8.
x = 130 units of cars.
To check whether the number of cars are minimum, the second derivative of C(x) with respect to x:
C''(x) = 1.8. Since 1.8 > 0, this shows that x = 130 is the minimum value.
Therefore, the cars to be made to minimize the unit cost = 130 cars!!!
