<u>Compound inequality:</u>
A compound inequality contains two or more inequalities that are separated either by "and" or "or".
And: It indicates that both statements of the compound sentence satisfies at the same time.
Or: This indicates that as long as either statement is true, the entire compound sentence is true.
For example:
1.
Here, and denotes that intersection or the overlap will be the desired result.
2.
Since the joining conjunction is or we can come to a point that the entire compound sentence is true.
AND CASES:
A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 1 or as -1 < x < 1.
OR CASES:
A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. It is written as x < -1 or x > 1.
Answer:
the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
Step-by-step explanation:
since each student is independent on others the random variable X= x students of 45 applicants will join the program has a binomial probability distribution
P(X=x)= n!/[(n-x)!*x!]*p^x*(1-p)^x
where
n= total number of students= 45
p= probability that a student join the program= 0.7
x= number of students that join the program
then in order to have enough funding x should not surpass 30 students , then
P(X≤30)= ∑P(X) for x from 1 to 30 = F(30)
where F(30) is the cumulative probability distribution
then from binomial probability tables
P(X≤30)= F(30)= 0.3653 (36.53%)
therefore the probability that the graduate program will have enough funding for all student that join the program is 0.3653 (36.53%)
<span>You need to use your order of operation. then compare t
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You have to multiply-0.65 times 2