Answer:
Option (1). 34°
Step-by-step explanation:
From the figure attached, CE and CD are the radii of the circle C.
Central angle CED formed by the intercepted arc DE = 68°
Since measure of an arc = central angle formed by the intercepted arc
Therefore, m∠CED = 68°
Since m∠EFD =
[Central angle of an intercepted arc measure the double of the inscribed angle by the same arc]
Therefore, m∠EFD = 
= 34°
Therefore, Option (1) 34° will be the answer.
When a point divides a line segment into ratios of k1:k2, the formula to find the coordiates of the point is:
x=(k2*x1+k1*x2)/(k1+k2), y=(k2*y1+k1*y2)/(k1+k2),
(x1,y1) being the coordinates of the starting point, and (x2,y2) coordinates of the end point.
in this case, 3.6=[2*(-6)+3x2]/5
-12+3x2=18
3x2=30
x2=10
use the same method to find y2: -0.4=(2*5+3y2)/5
3y2=-12
y2=-4
so the the coordinates of B is (10,-4)
use the same method to find the coordinates of D.
the answer I've got for D is (58/9, -2) please double check my calculation.
Answer:
b. The values X and Y are independent therefore, the mean is 34 seconds and the standard deviation is 50 seconds
Step-by-step explanation:
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
Before the training, the mean running time for the students to run a mile was 402 seconds with standard deviation 40 seconds.
This means that 
After completing the program, the mean running time for the students to run a mile was 368 seconds with standard deviation 30 seconds.
This means that 
Which of the following is true about the distribution of X-Y?
They are independent, so:


This means that the correct answer is given by option b.
The 12 oz
Step-by-step explanation:
The twelve ounce because if you buys two of them its 2.18 and youll have four more ounces for only 19 more cents than the 20oz
A) AB turn clockwise to coincide with BC
= ABD + DBC
= 33.3° + 30.6°
= 63.9°
b) If E is drawn directly opposite C.
EBC is a straight line, so sum of angles =180°
ABE + ABD + DBC = 180°
ABE + 33.3° + 30.6° = 180°
ABE + 63.9° = 180°
ABE = 180 - 63.1
ABE = 116.9°
Hope this explains it.