Answer:
x = 20
Step-by-step explanation:
For a and b to be parallel, they must both add up to 180. Therefore, we can set up an equation:
3x+6x = 180
9x = 180
x = 20
A rectangle is a 4-sided flat shape with straight lines where all interior angles are rights angles (90°)
-11=-5x+19y
5x-11=19y
(5x-11)/19=y
Step-by-step explanation:
a. First, find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 12.5
z = 0.48
Use a calculator or table to find the probability.
P(z < 0.48) = 0.6844
b. Find the standard deviation of the sample.
σₓ = σ / √n
σₓ = 12.5 / √4
σₓ = 6.25
Find the z-score.
z = (x − μ) / σ
z = (80 − 74.0) / 6.25
z = 0.96
Use a calculator or table to find the probability.
P(z < 0.96) = 0.8315
c. When the distribution of the population is normal, then the distribution of the sample mean is also normal.
Answer:
a and B are complementary angles in a right triangle.
Step-by-step explanation:
For the rule to be true, the triangle must be a right triangle.