Answer:
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .
Step-by-step explanation:
Given -
The sample size is large then we can use central limit theorem
n = 50 ,
Standard deviation
= 7.1
Mean 
= 110
1 - confidence interval = 1 - .98 = .02
= 2.33
98% confidence interval for the mean caffeine content for cups dispensed by the machine = 
= 
= 
First we take + sign
= 112.34
now we take - sign
= 107.66
We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .
the volume of cylinder is 3.14 r^2×h
12 pigs×4 legs=48 legs
18 chickens×2 legs=36 legs
48 legs+36 legs=84 legs
12 are pigs and 18 are chickens
14. The answer is hundred-thousandths. The 2 is in the tenths place, the 0 is in the hundredths place, and then 5 is in the hundred thousandths place, etc etc.
15. The quarter and the penny. Like I said above, the hundredth’s place is the second number after the decimal.
Hope this helps xx
Answer: 200 meters per minute
Explanation: we know that she can run 100 meters per 30 seconds. the question is asking in terms of minutes, however. we have to convert the seconds into minutes. How many minutes is 30 seconds? well, 60 seconds are in a minute so 30 seconds are in half a minute. 30 seconds = .5 minutes.
Now, we have to find how many meters she runs per minute. this means how many meters she runs in one minute. we create a proportion:
100 meters/ .5 minutes = x meters / 1 minute
we cross multiply to get 100 = .5x
then, we simplify by dividing each side by .5 which equals
200=x
