Answer: 
Step-by-step explanation:
Binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is the total number of trials and p is the probability of getting success in each trial.
We assume that the total number of days in a particular year are 365.
Then , the probability for each employee to have birthday on a certain day :

Given : The number of employee in the company = n
Then, the probability there is at least one day in a year when nobody has a birthday is given by :-

Hence, the probability there is at least one day in a year when nobody has a birthday =
Answer:
Although the notation is sloppy, I will assume based on former questions of the same that "∑n=15[5(−2)^n−1]" translates mathematically to . Please correct me, though, if this in incorrect.
Anyway, there is neat formula that will deal with question very quickly. It is the following:
Sn is the sum of the geometric series
a1 is the first term in the series
r is the common ratio
n is the number of terms in the finite geometric series
Let's use this formula to our advantage! However, there are two variables that we do not know: a1 and n. Let's start with a1.The first term in the series is when n=1, so let's determine what that is.
Answer:

Step-by-step explanation:


taking like terms together

taking LCM


taking LCM

splitting the term

splitting the term



we know that

putting this value in above equation

Answer:13
Step-by-step explanation:
2 times 3 is 6 so then we add 7 to get 13
Answer:
for Part A
Answer is C.
Step-by-step explanation:

Here the angle, a is 60°, Opposite is 20 and adjacent is x.
Therefore we have,

Making x the subject gives us

Part B
Value of x to the nearest tenth
