We have been given that Micah is buying items for a birthday party. He wants to use the same amount of each item. We are asked to find the least number of packages of cups he needs to buy (6 cups in each bag and 8 plates in each bag).
To find the least number of packages of cups, we need to find least common multiple of 6 and 8.
Multiples of 6: 6, 12, 18, 24, 30,....
Multiples of 8: 8, 16, 24, 32, 40, 48,.....
We can see that least common multiple of 6 and 8 is 24.
Now we will divide 24 by 6 to find number of packages of cups that Micah needs to purchase.
Therefore, Micah needs to buy 4 packages of cups at least.
Answer:
The answer is option 1 , 2 and 3 or A , B and C
Step-by-step explanation:
Answer:
The domain of g(x) is the same as the domain of the parent function.
The range is the same as the range of the parent function.
The function g(x) increases over the same x-values as the parent function.
The function g(x) decreases over the same x-values as the parent function.
Answer:
Step-by-step explanation:
The question is incomplete. The complete question is:
A production line operation is designed to fill cartons with laundry detergent to a mean weight of 32 ounces. A sample of cartons is periodically selected and weighed to determine whether under filling or overfilling is occurring. If the sample data lead to a conclusion of under filling or overfilling, the production line will be shut down and adjusted to obtain proper filling.
A. Formulate the null and alternative hypotheses that will help in deciding whether to shut down and adjust the production line.
B. Comment on the conclusion and the decision when H0 cannot be rejected.
C. Comment on the conclusion and the decision when H0 can be rejected.
Solution:
A) We would set up the hypothesis. Under filling or over filling means two ways. Thus, it is a two tailed test
For null hypothesis,
H0: μ = 32
For alternative hypothesis,
H1: μ ≠ 32
B) if H0 cannot be rejected, it means that there was insufficient evidence to reject it. Thus, it would be concluded that the production line operation filled the cartons with laundry detergent to a mean weight of 32 ounces.
C) There was sufficient evidence to reject the null hypothesis. Thus, it can be concluded that there was under filling or over filling.