Answer: A (5, -5.5)
Step-by-step explanation: To find the midpoint of a line segment, you must know the formations of points. Two coordinates are made up of (x1, y1)(x2, y2). Now, to find the answer, you have to add the two x's (which is 4 and 6 = 10) and divide by 2 which equals 5. Now to find the y point, add both y's together. -5 + -6 = -11, and dividing by 2 gives you -5.5
Thus, the midpoint is (5, -5.5)
To find the tan x use the following formula
tan x = (sin x)/(cos x)
tan x = (1/2)/(sqrt (3)/2)
tan x = 1/sqrt (3) = sqrt (3)/3 or E
I could be wrong but I think 28.
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)
The correct answer should be choice A