A rectangle has a length of x and a width of 5x^3+4-x^2. What is the polynomial that models the perimeter of the rectangle
1 answer:
Answer:
And the width for this case is:
And we know that the perimeter is given by:
And replacing we got:
And symplifying we got:
Step-by-step explanation:
For this problem we know that the lenght of the rectangle is given by:
And the width for this case is:
And we know that the perimeter is given by:
And replacing we got:
And symplifying we got:
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Answer:
1. The minimum head breadth that will fit the clientele is of 4.41-in.
2. The maximum head breadth that will fit the clientele is of 7.19-in.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Normally distributed with a mean of 5.8-in and a standard deviation of 0.8-in.
This means that
1. What is the minimum head breadth that will fit the clientele?
The 4.1st percentile, that is, X when Z has a pvalue of 0.041, so X when Z = -1.74.
The minimum head breadth that will fit the clientele is of 4.41-in.
2. What is the maximum head breadth that will fit the clientele?
100 - 4.1 = 95.9th percentile, that is, X when Z has a pvalue of 0.959, so X when Z = 1.74.
The maximum head breadth that will fit the clientele is of 7.19-in.
The probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
<h3>What are some of the properties of Poisson distribution?</h3>The Poisson distribution is a discrete probability distribution that describes the likelihood of a specific number of events occurring in a specified span of time or space, if these events occur at a constant mean rate and regardless of the time since the last occurrence.
Let X ~ Pois(λ)
Then we have:
E(X) = λ = Var(X)
Since standard deviation is the square root (positive) of variance,
Thus,
The standard deviation of X =
Its probability function is given by
Given the mean is 4.2.
We have to find the probability that on any day, the number of special orders sent out will be exactly 3. Therefore, the value of x will be 5.
Using the Poisson distribution,
Hence, the probability that, for any day, the number of special orders sent out will be exactly 3 is 0.1633.
Learn more about Poisson distribution here:
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