Answer:
There is a 99.99998% probability that at least one valve opens.
Step-by-step explanation:
For each valve there are only two possible outcomes. Either it opens on demand, or it does not. This means that we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Calculate P(at least one valve opens).
This is
Either no valves open, or at least one does. The sum of the probabilities of these events is decimal 1. So:
So
Finally
There is a 99.99998% probability that at least one valve opens.
ANSWER:
$9.0.
Each person will owe $9.0.
STEP-BY-STEP SOLUTION:
Total amount of people:
= 3
Total bill:
= $31.84
Discount off total bill:
= 15%
Total bill after discount:
= 31.84 × ( 100% - 15% )
= 31.84 × 85%
= 27.064
Total bill after discount split evenly / Amount each person will owe:
= 27.064 ÷ 3
= 9.0213 ( 3 repeater )
= $9.0 ( rounded to the nearest tenth )
Answer:
98 degrees
angles of a triangle always add up to 180 degrees. 41+41= 82. 180-82= 98
A^2 + b^2 = c^2
3^2 + 8^2 = c^2
9 + 64 = c^2
73 =c^2
take the square root of each side
c= 8.544
Answer:
500
Step-by-step explanation:
Define listed price = C
Based on the term, to have the balance on both plan, the equation is 30+90%C = 80+80%C
- 30+0.9C=80+0.8C
- 0.1C=50
- 1C = 500