Answe
Step-by-step explanation:
The interior angles of a triangle add up to 180. We know from the photo that there is a 90° angle and an 18° angle, and 90-18 is 72, so the other interior angle is 72°. The question is asking you to find the value of side x, so you'll need to use sin.
sin (72°) = x/16
x ≈ 15.2
Plug in -1 for x and work it ou'
g(-1) = (-1)^3 + 6(-1)^2 + 12(-1) + 8
= -1 + 6 - 12 + 8
= 1
Answer:
15.866%
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 3,282 gallons of kerosene
μ is the population mean = 3,087 gallons of kerosene
σ is the population standard deviation = 195 gallons
For x > 3282 gallons
z = 3282 - 3087/195
z = 1
Probability value from Z-Table:
P(x<3282) = 0.84134
P(x>3282) = 1 - P(x<3282) = 0.15866
Converting to percentage
0.15866 × 100 = 15.866%
The percent of flights on these particular routes that will burn more than 3,282 gallons of kerosene is 15.866%