First, we put a point at the vertex. Then, we extend a line upwards of slope 1/2 to the right of the vertex. Then extend a line upwards of slope -1/2 to the left of the vertex. This will give the graph of the equation.
60% of 20 is (0.6 x 20) = 12 passes
There are a further 30 quizzes remaining (50 total during the year minus 20 already written)
80% of 30 is (0.8 x 30) = 24 passes
The student has passed (12 + 24) = 36 quizzes out of 50 total, giving an overall pass percentage of ((36 / 50) x 100)) = 72%.
Replace the range for f(x)
So...
0=4-2x
x=2
4=4-2x
x=0
8=4-2x
x=-2
Solve!
These are your domains!
Answer:
The probability that she will escape detection for at least three years is P=0.343.
Step-by-step explanation:
If Jody has a 30% chance each year of having her tax returns audited, she also has 70% chance each year of escaping detection.
The probability of this happening 3 years in a row is: