9514 1404 393
Explanation:
<h3>Part 1.</h3>
The inverse of a function y = f(x) can be found by solving x = f(y) for y.
When we do that here, we find ...
When we compare this to g(x), which we want to be the inverse of f(x), we see that ...
cx -d = bx -a ⇒ b=c, and d=a
We can choose a=d=1 and b=c=2 to make the two functions inverses:
f(x) = (x +1)/2
g(x) = 2x -1
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<h3>Part 2.</h3>
The inverse of f(x) is g(x) if f(g(x)) = x.
f(g(x)) = ((2x -1) +1)/2 = 2x/1 = x . . . . . g is the inverse of f
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<h3>Part 3.</h3>
Same as Part 2, but in reverse.
g(f(x)) = 2((x +1)/2) -1 = (x +1) -1 = x
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<h3>Part 4.</h3>
The attachment is a graph of the two functions and a table of values. The line y=x is the dashed orange line. You will notice that f(x) and g(x) are reflections of each other across that line.
Multiply (length) times (width). For a square, both numbers will be the same.
Answer:
The limit that 97.5% of the data points will be above is $912.
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:
Find the limit that 97.5% of the data points will be above.
This is the value of X when Z has a pvalue of 1-0.975 = 0.025. So it is X when Z = -1.96.
So
The limit that 97.5% of the data points will be above is $912.
Answer:
$9
Step-by-step explanation:
7.50/5= $1.5 an apple
6* 1.5 = $9 for 6 apples
Answer:
0.0355029585799?
Step-by-step explanation:
