Answer:
y = 25 degrees
Step-by-step explanation:
We start with 115° and x -
115° + x = 180°
x = 180° - 115°
x = 65°
The sum of all of the angles of a triangle will <em>always</em> be 180 degrees -
x + y + 90° = 180°
We substitute x with 65° -
65° + y + 90° = 180°
y = 180° - 65° - 90°
y = 90° - 65°
y = 25°
We would need a sample size of 560.
We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.
The margin of error, ME, is given by:

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,

subtract the numbers:


subtract 9 from both sides

simplify

divide both sides by 6


decimal

Hope this helps :)
Answer:
Step-by-step explanation:
y + 4 = -6(x - 7)
y + 4 = -6x + 42
y = -6x + 38
The rule to find the term is: y=225-4x
you want to know the 82nd term which occurs when x=82 therefore
y = 225-(4 x 82) = -103
82nd term = -103