Answer:
(−14.850850 ; 0.565135)
Step-by-step explanation:
Confidence interval :
Xd ± Tcritical * Sd/√n
Population 1 :30 35 23 22 28 39 21
Population 2 : 45 49 15 34 20 49 36
d = -15,-14,8,-12,8,-10,-15
The mean of d, Xd = Σx / n = - 7.14285714
The standard deviation of the difference, Sd = 10.4948967 (using calculator)
Sample size, n = 7
Tcritical at 90%, df = 7 - 1 = 6
Tcritical = 1.943176
Confidence interval :
- 7.14285714 ± 1.943176 * 10.4948967/√7
Confidence interval :
- 7.14285714 ± 7.7079925
(−14.850850 ; 0.565135)
Answer:
x = 9
Step-by-step explanation:
diagonals bisect each other so we can set up these equations:
x+8 = 2y+5
2x = 3y
in the top equation we can solve for 'x': x = 2y-3
in the second equation we can solve for 'x': x = 3y/2
2y-3 = 3y/2
multiply each side by 2 to eliminate fractions:
4y - 6 = 3y
4y = 3y + 6
y = 6
2x = 3(6)
2x = 18
x = 9
Good evening ,
______________
Answer:
a=3
___________________
Step-by-step explanation:
Look at the photo below for the answer.
:)
Answer:
, 
Step-by-step explanation:
Let be 
the end of the terminal side of angle 
in standard position, that is, an angle measured with respect to +x semiaxis. By Trigonometry, we know that the sine and the cosine of the angle are, respectively:
(1)
(2)
If we know that 
and 
, then the sine and the cosine of the angle are:
