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.
Personally I think the 3rd forth and the last one is but I’m not to sure
The following given problem can be expressed in the form
of:
E = 5.60 * T1 + 8.40 * T2
where,
E = total earning
T1 = normal hours worked
T2 = overtime hours
Assuming that the maximum T1 hours is 40 hours. Beyond
that is considered overtime, therefore:
287 = 5.60 * 40 + 8.40 * T2
T2 = 7.5 hours
<span>Therefore 7.50 overtime hours is needed.</span>
Please enclose that -3/5 in parentheses: <span>y+1= (−3/5)(x−4)
</span>
Let's use the intercept method to graph this line.
First, set x = 0 and find y; this y will be the y-coordinate of the vertical intercept:
y+1= (−3/5)(0−4) => y = -1 + 12/5 = -5/5 + 12/5 = 7/5. Plot (0, 7/5).
Next, set y = 0 and find x; this will give us the coordinate of the horiz. int.:
0+1= (−3/5)(x−4) => -5/3 = x - 4, or x = 4- 5/3, or x = 7/3. Plot (7/3, 0).
Now draw a straight line thru these two points.
These could be be some of the answers to the problem. 6:3, 12:6, and 36:18