Answer:
-4
Step-by-step explanation:
a. Recall the double angle identities:


Then

Applying the identity again, we have

as required.
b. Using the result from part (a),



(where
is any integer)

Answer:
388
Step-by-step explanation:
4+6x64
multiply 6 and 64
6 times 64 = 384
Add 4 to 384
384+4=388
Answer:
The 80% confidence interval for the mean
(4.6199 , 4.7801)
Step-by-step explanation:
<u>Explanation</u>:-
Assuming that the population standard deviation for the number of energy drinks consumed each week is 1
Given the Population standard deviation 'σ' = 1
The study found that for a sample of 256 teenagers the mean number of energy drinks consumed per week is 4.7
given sample size 'n' = 256
mean of the sample 'x⁻' = 4.7
<u>confidence interval for the mean</u>
The 80% confidence interval for the mean is determined by

the z-score of 80% level of significance = 1.282

(4.7 - 0.0801 , 4.7 +0.0801)
(4.6199 , 4.7801)
<u>Conclusion</u>:-
The 80% confidence interval for the mean
(4.6199 , 4.7801)