The monthly failure rate is q = 5% = 0.05
The monthly pass rate is p = 1 - q = 0.95
We want to determine the probability of 12 passes in 12 consecutive months for a student.
P(12 of 12 successes) = ₁₂C₁₂ p¹² q⁰ = 0.95¹² = 0.5404.
Therefore if we have 100 students, the number that gets through 12 consecutive months is
100*005404 = 54 students.
Answer: 54 students are left after 12 months.
Answer:
3(3b + 4)
the GCF is 3
Step-by-step explanation:
Answer: OPTION C.
Step-by-step explanation:
Given a function f(x), the range of the inverse of f(x) will be the domain of the function f(x) and the range of the domain of f(x) will be the range of the inverse function.
For example, if the point (2,1) belongs to f(x), then the point (1,2) belongs to the inverse of f(x).
Observe that in the graph of the function f(x) the point (-3,1) belongs to the function, then the point (1,-3) must belong to the inverse function.
Therefore, you need to search the option that shown the graph wich contains the point (1,-3).
Observe that the Domain f(x) is (-∞,0) then the range of the inverse function must be (-∞,0).
This is the graph of the option C.
Answer:
Third turn point = 21 points
Step-by-step explanation:
Given:
First turn point = 12
Second turn point = 15
Find;
Third turn point
Computation:
First turn point = 12
Assume;
Point for outer circle = a
Point for inner circle = b
So,
3a = 12
Point for outer circle = 4 point
Second turn point = 15
So,
2a + b = 15
2(4) + b = 15
Point for inner circle = 7
Third turn point = 3 x 7
Third turn point = 21 points