State the value of the discriminant for y =
1 answer:
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is , which in this case is:
Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
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Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
Hence;
<em>Length of each shelf is 0.45 meters</em>
Answer:
a)
The individual pprobabilities are:
And if we replace we got:
b)
And we can calculate this with the following excel formula:
And we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
(a) Write down the exact expression for the probability P(3 or more people will be killed by lightning in the U.S. next year). Evaluate this expression to 6 decimal places.
For this case we want this probability, we are going to use the complement rule:
The individual probabilities are:
And if we replace we got:
(b) Write down a relevant approximate expression for the probability from (a). Justify briefly the approximation. Evaluate this expression to 6 decimal places.
For this case we want this probability, we are going to use the complement rule:
And we can calculate this with the following excel formula:
And we got: