If you are looking to write an inequality equation that models this situation, then the answer would be:
. The "at most" signals to use the less than or equal to sign.
3/2,000
= 3/2,000*100% (100%= 100/100= 1, so it does not change the outcome).
= 0.15%
The final answer is 0.15%~
Answer:
Perpendicular bisector theorem
Step-by-step explanation:
The illustration of the theorem is:
If point B is a perpendicular bisector of Line AC and the length of AC is 10cm
Then

Where
--- Perpendicular bisector
So, the equation becomes



Recall: 

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%)
Answer:
2.304
Step-by-step explanation:
Given that x be a random variable that represents the pH of arterial plasma (i.e., acidity of the blood).


(Two tailed test at 5% level)
Mean difference = 
b) Here we can use only t test since population std deviation is not known.
df = n-1 = 30
Test statistic t = mean diff/std error = 2.304
p value = 0.028