Answer: Manager has evidence that the filling machine is over dash filling the cans.
Step-by-step explanation:
Let 
be the average amount of fluid per can.
Given claim : A can of soda is labeled as containing 15 fluid ounces.
i.e. 
The quality control manager wants to verify that the filling machine is not over dash filling the cans.
i.e. 
Since null hypothesis always contains equals sign.
So, the set of hypothesis for the given situation will be :-
Also, the quality control manager obtains a sample of 78 cans and measures the contents.
The sample evidence leads the manager to reject the null hypothesis.
That means he has evidence that the filling machine is over dash filling the cans.
Step-by-step explanation:
5.
angle STQ is the supplementary angle (together they are 180° below line MQ) to 2x + 8.
above ST we have a group of 3 angles that combine to 180° :
2x + 8
90°
71 - x
so, to get x first :
2x + 8 + 90 + 71 - x = 180
x + 169 = 180
x = 11
so, the angle MTS =
2x + 8 = 2×11 + 8 = 22 + 8 = 30°.
6.
therefore, the angle STQ is
180 - angle MTS = 180 - 30 = 150°.
Answer:
Option A
Step-by-step explanation:
where,
is the final value
if the initial value
R is the investors rate of return
so,
so the investors rate of return is -11.8%
Answer:
Sam's time was 1 hour and 6.66 minutes (or 1 and 1/9 hours)
Liam's time was was 1 hour
So in conclusion, Liam was faster
Step-by-step explanation:
We got Sam's time by 1/1 because Sam was walking 1 mph and the length to reach the top of the hill is 1 mile. So it would take Sam 1 hour to walk 1 mile. Walking down the hill Sam's speed was 9 mph. So the equation would be 1/9. So you would get 1/9. 1/9 of 60 is 6.66 repeating.
For Liam it is pretty simple. Since he is going up the hill at 2 mph and the length of the bottom of the hill to the top is 1 mile, it would be 30 minutes. Repeat this for the top to the bottom and in total it would be 1 hour.
Hope this helps
