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:
The solution to the system of the equations will be:

Step-by-step explanation:
Given the system of the equations


solving the system of the equations





solving

Divide both sides by -2





Therefore, the solution to the system of the equations will be:

dvdidudnvsdnvdsivnsdivnidvnisdnvdf
Answer:
Range of the function → {24, 375}
Step-by-step explanation:
Domain of the function f(x) = 3x³ is {2, 5}
we have to find the range when its domain is {2, 5}
Since x-values of any function define the domain and y-values define the range.
For x = 2,
f(2) = 3(2)³ = 24
For x = 5,
f(5) = 3(5)³ = 375
Therefore, range of the given function for the given domain will be {24, 375}.
Answer:
C
Step-by-step explanation:
Line AC is equal to line DF.