(a) The probability that there is no open route from A to B is (0.2)^3 = 0.008.
Therefore the probability that at least one route is open from A to B is given by: 1 - 0.008 = 0.992.
The probability that there is no open route from B to C is (0.2)^2 = 0.04.
Therefore the probability that at least one route is open from B to C is given by:
1 - 0.04 = 0.96.
The probability that at least one route is open from A to C is:

(b)
α The probability that at least one route is open from A to B would become 0.9984. The probability in (a) will become:

β The probability that at least one route is open from B to C would become 0.992. The probability in (a) will become:

Gamma: The probability that a highway between A and C will not be blocked in rush hour is 0.8. We need to find the probability that there is at least one route open from A to C using either a route A to B to C, or the route A to C direct. This is found by using the formula:


Therefore building a highway direct from A to C gives the highest probability that there is at least one route open from A to C.
Answer:
N + D = 175
.05N + .10D = $13.30
Step-by-step explanation:
You need a system of equations to get the correct answer that applies to both constraints.
Answer:
$9 for 36
Step-by-step explanation:
Divide the price by the quantity to receive the unit price. Here are the unit prices for each option:
1. $0.54
2. $0.43
3. $0.31
4. $0.28
5. $0.25
Basically, you want the lowest price. So, $9 for 36 is the best value because it costs $0.25 per pen.
Answer:
12 teachers will get 1/2 sheets each
Step-by-step explanation:
Noor bought 21 sheets of stickers
She gave 1/3 sheets to each 45 students
She wants to give teachers 1/2 of sheets
The question should be: how many teachers will she give
Total sheets=21
Students gets= 1/3 × 45
=45/3
=15 sheets
Remaining sheet= total sheets - students sheets
=21-15
=6 sheets
There are 6 sheets remaining for teachers
She wants to give 1/2 to each teacher
Then,
The number of teachers that will get =Remaining sheets ÷ each teacher's share
=6 ÷1/2
=6 × 2/1
=12 teachers
12 teachers will get 1/2 sheets each