Answer:
θ =
Step-by-step explanation:
Since the vertical height of the mountain is 800 feet, and the distance from the top to its base is 1600 feet. Let the angle of elevation be represented by θ, applying the required trigonometric function;
Sin θ =
Sin θ =
= 0.5
θ = 0.5
θ =
Thus, the angle of elevation from the base to the top of the mountain is .
Answer:
95% Confidence interval: (0.0429,0.0791)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 679
Number of anonymous websites, x = 42
95% Confidence interval:
Putting the values, we get:
is the required confidence interval for proportion of all new websites that were anonymous.
Answer:
a₇₆ = - 134
Step-by-step explanation:
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 16 and d = a₂ - a₁ = 14 - 16 = - 2, then
a₇₆ = 16 + (75 × - 2) = 16 - 150 = - 134