Mary can either take her lunch or buy it at school. It cost 1.95 to buy lunch. If she wants to spend no more than $30 on lunch p
1 answer:
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The values are 5i, -4, 2√2i, -16, -50i and i.
<h3>What is an imaginary number?</h3>An imaginary number is a number that, when squared, has a negative result, and is defined by its property i² = −1 or i = √-1.
Given are numbers,
1) √-25 = √25*√-1 = 5i
2) √-2√-2 = 2i*2i = 4i² = -4
3) √-8 = √8*√-1 = 2√2i
4) (4i)² = 16*i² = -16
5) (2i)(5i)² = 2i*25i² = 50i³ = -50i
6) i²*i³* = -1*(-i)*1 = i
Hence, The values are 5i, -4, 2√2i, -16, -50i and i.
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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.