Combine fractions and reduce (5b/4a) + (b/3a) – (3b/a)
1 answer:
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It is the graph of f(x) = x^2 vertically compressed, and then translated 3 units up and 5 units to the right.
<h3>Transformation techniques</h3>Transformation is a process of changing the size and shape of an object. The given graph is a graph of quadratic function with parent function x².
According to the graph shown the resulting parent function has been shifted horizontally to the right by 5 units to produce g(x) = f(x) - 5
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Answer:
74.22% probability that a family of four will spend more than $400.
Step-by-step explanation:
Problems of normally distributed samples 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.
In this problem, we have that:
What is the probability that a family of four will spend more than $400?
This is 1 subtracted by the pvalue of Z when X = 400. So
has a pvalue of 0.2578.
So there is a 1-0.2578 = 0.7422 = 74.22% probability that a family of four will spend more than $400.