if a fair dice is tossed the probability is (T, H) (H, T) ( T, T) (H, H)
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.
y
−
6
=
1
4
(
x
−
4
)
Expanding the right hand side:
y
−
6
=
1
4
x
−
1
Add
6
to both sides:
y
=
1
4
x
−
1
+
6
So the answer is
y
=
1
4
x
+
5
Answer:
174lbs
Step-by-step explanation:
I'm not positive but its my best shot
Answer:x = 60
Step-by-step explanation:
The given triangle is an equilateral triangle. This is so because all the angles are equal. This also means that all the sides are equal.
The sum of the angles on a straight line is 180 degrees. Assuming each angle of the equilateral triangle is y degrees, it means that
y + 2x = 180
y = 180 - 2x
The sum of the angles in a triangle is 180 degrees. It means that
y + y + y = 3y = 180
This means that
3(180 - 2x) = 180
540 - 6x = 180
6x = 540 - 180 = 360
x = 360/60 = 60