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.
Interest paid after 30 years is $494,546.99.
Solution:
Principal (P) = $195,000
Interest rate (r) = 4.3%
Time (t) = 30 years
n = number of times interest calculated per year
n = 1
Compound interest formula:
where A is the final amount
A = 689546.99
Interest = Amount - Principal
= 689546.99 - 195000
= 494546.99
Interest paid after 30 years is $494,546.99.
Answer:
First of all, it's the Greatest to least! Second of all, 2/1, 8/9, 7/9, and 2/3.
Step-by-step explanation:
2/1 is 2, 8/9 is 1 more ninth than 7/9, and 2/3 is less third than 1.
Answer:
Less
Step-by-step explanation:
Answer:
£10.91
Step-by-step explanation:
72p is 1kg of potatoes
1kg of carrots is 62p
10kg of potatoes is £7.20 add 3 extra kg's
which is £2.16
add £2.16 with £7.20 = £9.36
2kg of carrots is £1.24 add an extra half of kg an you get £1.55
