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<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em><em> ❤️</em><em>✌
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Answer:
The answer is 9.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Case I: use common logs:
2x log 3 = log 4, or 2x(0.47712) = 0.60206
Solving for x, we get 0.95424x = 0.60206, and then x = 0.60206/0.95424.
x is then x = 0.631
Case II: use logs to the base 3:
2x (log to the base 3 of 3) = (log to the base 3 of 4)
This simplifies to 2x(1) = 2x = (log 4)/log 3 = 1.262. Finally, we divide this
result by 2, obtaining x = 0.631
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%)
