Answer: Andre can make 6 small cranes.
Step-by-step explanation:
3x + 10 is less than or equal to 30
3 is the minutes for the small cranes
X is the amount of small cranes
10 is the minutes for the large crane
30 is the total time limit
first, subtract 10 from 30, which gives you 20 so
3x is less than or equal to 20.
to figure this out, divide 20 by 3, which gives you 6 with a remainder of two minutes.
credits:
breannacaitlin6 solved it
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.
The confidence interval is given by
where
is the sample mean and
is the standard error of the mean. In turn, the standard error of the mean is
where
is sample size.
We have
The endpoints of the confidence interval correspond to the finite endpoints of the rejection region. That is,
for which we can solve for
. We get
which is the critical value for a confidence level of
.
I believe it’s g(k)=(-k- 3)(-k+3)
Answer:
36
Step-by-step explanation:
