Answer:
5
Step-by-step explanation:
Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle
<span>A glide reflection is the composition of a reflection and a translation, where the line of reflection, m, is parallel to the directional vector line, v, of the translation. Example: A glide reflection is commutative. Reversing the direction of the composition will not affect the outcome.
I hope this helps you!</span>
Answer:
The probability mass function is expressed as:
P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]
Step-by-step explanation:
This is not a binomial distribution. It is actually a negative binomial distribution. The probability mass function is expressed below:
P(x) = [(x+r-1)C(r-1)]*[p^r]*[(1-p)^x]
where:
x = number of failures
r-1 = number of successes (10 in this scenario)
p = probability of a success
nCr = n!/[r!(n-r)!]
The main formula difference in the positive binomial versus negative binomial is this: With respect to the negative binomial, it is obviously known that the last event will be: when we reach our 10th "head", we stop .
Thus, the last flip will ALWAYS be a "head".
Answer:
Step-by-step explanation:
Given
Required
The measure of central angle
Assume the gondolas are equally spaced, the central angle between each is:
Substitute 41 for n
----- approximately
Answer:
the height of the tree is 19.2 ft
Step-by-step explanation:
Given;
distance from the foot of the tree, d = 15 ft
angle of elevation; θ = 52°
let the height of the tree = h
Make a sketch of the problem as follows;
↑
↑ h
52°---------------------
15 ft
If completed to form a right triangle by adding the hypotenuse side, we can calculate the height of the tree as follows;
Therefore, the height of the tree is 19.2 ft
