11/2x=2
2/11(11/2)x=2(2/11)
x=4/11
Given:
Price of tickets:
3 years ago - 8.75
now - 11
annual multiplier:
b³ = 11/8.75
b = ∛11/8.75
b = 1.079
The annual multiplier is 1.079.
1.079 * 100% = 107.9%
107.9% - 100% = 7.9%
The percentage increase is 7.9%
Answer:
sinΘ = 
Step-by-step explanation:
using the identity
sin²x + cos²x = 1 ( subtract cos²x from both sides )
sin²x = 1 - cos²x ( take square root of both sides )
sinx = ± 
given
cosΘ = -
, then
sinΘ = ± 
= ± 
= ± 
= ± 
since Θ is in quadrant II where sinΘ > 0 , then
sinΘ = 
Answer:
Step-by-step explanation:
Corresponding gasoline consumption when radial tires is used and gasoline consumption when regular belted tires is used form matched pairs.
The data for the test are the differences between the gasoline consumption when radial tires is used and gasoline consumption when regular belted tires is used.
μd = the gasoline consumption when radial tires is used minus the gasoline consumption when regular belted tires is used.
For the null hypothesis
H0: μd ≥ 0
For the alternative hypothesis
H1: μd < 0
The resulting p-value was .0152.
Since alpha, 0.05 > than the p value, 0.0152, then we would reject the null hypothesis. Therefore, at 5% significance level, we can conclude that the gasoline consumption when regular belted tires is used is higher than the gasoline consumption when radial tires is used.