Supplementary angles add up to 180 degrees.
so if one angle is 60 degrees, then the other angle is (180 - 60) = 120
-2* F
You do +3 +2 -4 -1 which equals to 0. Then you do 0 plus -2 which equals -2*F.
Answer:
1/21
Step-by-step explanation:
Answer:
A = 51.3°, B = 90°, C = 38.7°
Step-by-step explanation:
The given lengths satisfy the Pythagorean theorem:
(√41)² = 4² +5² ⇒ 41 = 16 +25
so we know the triangle is a right triangle. The right angle is opposite the longest side, so is angle B, opposite side AC.
The remaining angles can be found using trig functions. For example, we know ...
tan(A) = BC/AB = 5/4
A = arctan(5/4) ≈ 51.3°
Then the other acute angle is ...
C = 90° -51.3° = 38.7°
Angles A, B, C are ...
(A, B, C) = (51.3°, 90°, 38.7°)
Answer:
Step-by-step explanation:
Notation
represent the sample mean
population mean (variable of interest)
s represent the sample standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
For this case the 9% confidence interval is given by:
We can calculate the mean with the following:
And we can find the margin of error with:
The margin of error for this case is given by:
And we can solve for the standard error:
The critical value for 95% confidence using the normal standard distribution is approximately 1.96 and replacing we got:
Now for the 98% confidence interval the significance is 
and 
the critical value would be 2.326 and then the confidence interval would be:
