Step-by-step explanation:
First, find the degrees of freedom:
df = n − 1
df = 49
To find the p-value manually, use a t-score table. Find the row corresponding to 49 degrees of freedom. Then find the α column that corresponds to a t-score of 1.421. You'll find it's between α = 0.10 (t = 1.299) and α = 0.05 (t = 1.677). Interpolating, we get an approximate p-value of 0.084. For a more accurate answer, you'll need to use a calculator.
To find a cofunction with the same value as the expression csc 52*, you would use the formula like this. csc (x) = sec (90-x). So if you use csc(52) that equals sec(90-52). This in turn, equals sec(38). So the answer is B.
Answer:
16.9 units
Step-by-step explanation:
Sometimes the easiest way to work these problems is to get a little help from technology. The GeoGebra program/app can tell you the length of a "polyline", but it takes an extra segment to complete the perimeter. It shows the perimeter to be ...
14.87 + 2 = 16.87 ≈ 16.9 . . . units
_____
The distance formula can be used to find the lengths of individual segments. It tells you ...
d = √((Δx)² +(Δy)²)
where Δx and Δy are the differences between x- and y-coordinates of the segment end points.
If the segments are labeled A, B, C, D, E in order, the distances are ...
AB = √(5²+1²) = √26 ≈ 5.099
BC = √(1²+3²) = √10 ≈ 3.162
CD = Δx = 3
DE = √(3²+2²) = √13 ≈ 3.606
EA = Δy = 2
Then the perimeter is ...
P = AB +BC +CD +DE +EA = 5.099 +3.162 +3 +3.606 +2 = 16.867
P ≈ 16.9
The decrease in dollars is $1829 which means that at the end of last year, Hong had $4371 in his account.
Point A is exactly in the middle...it is halfway between 0 and 1...so it is 1/2 or 0.5