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.
The formula for momentum is:
M=Mass*Velocity
From this formula we can derive the formula for velocity:
V=Momentum/Mass
We already know momentum (10 kg m/s) and mass (2 kg). Let's plug in the numbers into the formula:
V=10/2
V=5 m/s
1 + 4 = 5 (5 parts)
<span>£250/5 = 50 </span>
<span>1 x £50 = 50 </span>
<span>4 x £50 = 200 </span>
<span>so the answer is 50:200 </span>
To solve this, we simply need to break down the words and turn each part into an equation.
"Three times"
This shows that we will be multiplying 3 and something.
3*
"a number"
This shows that the number we will be multiplying 3 by is "n," which represents a number.
3*n or 3n
"plus 16"
This shows we will be adding 16 to the rest of the equation.
3n+16
Using the logic above, we can see that the equation to represent this is 3n+16.
800 * 100 = 80000
810 * 99 = 80190
900 * 90 = 81000
1000 * 80 = 80000
(800 + 10n) (100-1n)
=(800 +10(11)) (100 - 11)<span>
(910)(89) = 80990</span>