Two angles are complementary: x + y = 90 (complementary = 90 degrees)
x = 2y
plug in 2y for x
2y + y = 90
3y = 90
3y/3 = 90/3
y = 30
plug in 30 for y
x = 2y
x = 2(30)
x = 60
x (the largest angle) = 60°
hope this helps
Answer:
skew
Step-by-step explanation:
Perpendicular lines must intersect. In fact, they intersect forming right angles.
Lines AC and RC are not in the same plane and do not intersect.
They are called "skew lines."
Step-by-step explanation:
f(x) = 3x⁴ - 5x² + 2x - 3
When x = -1,
f(-1) = 3(-1)⁴ - 5(-1)² + 2(-1) - 3 = 3 - 5 - 2 - 3 = -7.
We can use the binomial theorem to find the probability that 0 out of the 15 samples will be defective, given that 20% are defective.
P(0/15) = (15C0) (0.2)^0 (1 - 0.2)^15 = (1)(1)(0.8)^15 = 0.0352
Then the probability that at least 1 is defective is equal to 1 - 0.0352 = 0.9648. This means there is a 96.48% chance that at least 1 of the 15 samples will be found defective. This is probably sufficient, though it depends on her significance level. If the usual 95% is used, then this is enough.
The last set (choice D) is a subset of given set B.
The other 3 choices are wrong.
