One way to determine the scale factor of a dilation is if you are using a graph then you can pick two corresponding points of the before and after and divide them and you can get the scale factor.
The second one is true because if you have 2 angle measures then you can automatically find the third because we know that all the angles of a triangle add up to 180 so lets say that one angle is 94 degrees and another is 38 degrees we would add those two up to get 132 and then we would subtract that from 180 to get the third angle which would be 48 degrees.
The third one, vertical angles have a common vertex, but they are never adjacent angles. Also, vertical angles are always congruent.
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.
So its a straight line up and then straight line horizontal. Then a line down. Finally a line that goes up.
Answer:
P (A and A) = 
= 
P (A and B and C) = 
= 
P (B) = 
P (C) = 
Step-by-step explanation:
The word AND means multiplying the probabilities of getting each outcome. And since we are replacing tiles each time we draw one, the denominator, or the number of total possible outcomes, remains 9 throughout.
The patient is recommended to take 24 ounces of coffee per day.
<u>Step-by-step explanation:</u>
Patient normal intake of coffee daily = 5 times 12 ounces
= 5 × 12 = 60 ounces
Doctor recommends to cut off 60 % of the normal intake of coffee.
And advised to take only 40 % of the daily intake of coffee.
So 60 % of 60 ounces can be calculated as,
= 36 ounces
40 % of 60 ounces is 24 ounces.
So 60 - 36 = 24 ounces of coffee per day
