where
is the cumulative distribution function for the random variable
following the standard normal distribution.
Answer:
0.77777777777...
Step-by-step explanation:
7/9 = 7 divided by 9
7 divided by 9 = 0.77777777777...
<span> To get an explicit formula, we need to find an expression which gives the n-th term without having to compute earlier terms in the sequence. Looking at the numbers, and from the recursive formula, we see that the sequence is built by subtracting n from the previous term. This is similar to the triangular number sequence 1,3,6,10,15,... which has the explicit formula a_n = n(n+1)/2. In our case we are subtracting n from the previous term, so we multiply by -1/2 instead of 1/2. However, we also need to add a constant term to reproduce the numbers of the sequence. We can write a_1 = -1(2)/2 + c = 8. Therefore, c = 9.
So the explict formula is:
a_n = -n(n+1)/2 + 9</span>
Tangent uses the values opposite (the way the angle faces) and adjacent (the values next to it). Basically, on a triangle, tangent uses the lengths of the two sides that are NOT the hypotenuse.
Answer:
In order to understand better this problem, we can use the<u> figure attached</u>, in which we have a<u> right triangle</u> (with a 90 degree angle), where is its hypotenuse, is the adjacent side to the angle of elevation from the boat to the top of the lighthouse and is the opposite side to .
Knowing this, we will use the tangent trigonometric function to find :
(1)
(2)
(3)
(4)
Finally: