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.
7
10
of a mile on Monday. He walked
9
40
of a mile on Tuesday. Jamal estimated how much farther he walked on Monday than on Tuesday as shown below.
Step 1
7
10
is close to
1
2
Step 2
9
40
is close to
1
5
Step 3
1
2
−
1
5
=
3
10
Which statement best explains whether or not
3
10
Hope this helped you out!
Please mark brainliest :))
Answer:
x=6
Step-by-step explanation:
We can find < PMN by using the law of triangles.
The sum of the angles of a triangle adds to 180
<M + <N + < PMN = 180
32 + 64+ < PMN = 180
96 + < PMN = 180
Subtract 96 from each side
96 -96 < PMN = 180-96
< PMN =84
<PMN + <NPQ forms a straight line so it equals 180
<PMN + <NPQ=180
84 + <NPQ=180
Subtract 84 from each side
84-84 + <NPQ=180-84
<NPQ=96
<NPQ = 6x
96 = 6x
Divide each side by 6
96/6 = 6x/6
16 =x
Answer:
$764.42
Step-by-step explanation:
The account balance is given by the formula ...
A = P(1 +rt)
where P is the principal invested, r is the annual rate, and t is the number of years. Here, we assume 52 weeks in the year, since the time period is given in weeks.
Filling in the numbers, we have ...
A = $750(1 +0.025(40/52)) = $764.42
Darren's investment will be worth $764.42 at the end of 40 weeks.