Answer:
B. Add 115+500 then subtract 3
C. Add 112+500
Step-by-step explanation:
Any strategy that gives a sum of 612 will work. Strategy A gives a sum of 602, so is not useful.
The appropriate choices are B and C.
B: 115 +497 = 115 +(500 -3) = (115 +500) -3
C: 115 +497 = 115 +497 -3 +3 = (115 -3) +(497 +3) = 112 +500
Answer:
Step-by-step explanation:
Answer:
Use the Pythagorean identity
tan2x+1=sec2x
to start the simplification on the left side.
Step-by-step explanation:
・ᗜ・
Answer:
With a 0.01 significance level and samples of 50 and 40 cofee drinkers, there is enough statistical evidence to state that the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.
The test is a one-tailed test.
Step-by-step explanation:
To solve this problem, we run a hypothesis test about the difference of population means.
The appropriate hypothesis system for this situation is:
Difference of means in the null hypothesis is:
![$$The calculated statistic is Z_c=\frac{[(4.35-5.84)-0]}{\sqrt{\frac{1.20^2}{50}+\frac{1.36^2}{40}}}=-5.43926\\p-value = P(Z \leq Z_c)=0.0000\\\\](https://tex.z-dn.net/?f=%24%24The%20calculated%20statistic%20is%20Z_c%3D%5Cfrac%7B%5B%284.35-5.84%29-0%5D%7D%7B%5Csqrt%7B%5Cfrac%7B1.20%5E2%7D%7B50%7D%2B%5Cfrac%7B1.36%5E2%7D%7B40%7D%7D%7D%3D-5.43926%5C%5Cp-value%20%3D%20P%28Z%20%5Cleq%20Z_c%29%3D0.0000%5C%5C%5C%5C)
Since, the calculated statistic 
is less than critical 
, the null hypothesis should be rejected. There is enough statistical evidence to state that the mean daily consumption of regular-coffee drinkers is less than that of decaffeinated-coffee drinkers.
Thank you very much Maz.
I really appreciate it :)
