Answer:
C 12.5%
Step-by-step explanation:
I did this one
From the figure, we immediately have
cos(θ) = 8/17
sin(θ) = 15/17
By definition of tangent,
tan(2θ) = sin(2θ)/cos(2θ)
Recall the double angle identities:
sin(2θ) = 2 sin(θ) cos(θ)
cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1
Then
tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)
tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)
tan(2θ) = -240/161
There are 14 times in the table. Add up all 14 times, and divide the sum by 14. The result is the "mean 100-meter sprint time," assuming that you've rounded this off to the nearest tenth of a second.
Answer:
sorry but what is this I don't understand?
Approximately 70% of the visitors to the theme park are older than about 12.3.
A z-score of about -0.53 is position on the normal distribution for finding the amount above 30% (70%).
Therefore, we can write and solve the following equation:
(x - 15) / 5.2 = -0.53
x - 15 = -2.756
x = 12.244
The closest amount is 12.3.
