Caitlin = 20 laps
Hannah = 4/5 as many laps
Multiply the laps swan by Caitlin (20) by 4/5
20 x 4/5 = 80/5 = 16
Hannah swam 16 laps
Answer:
6x^2 -2x
Step-by-step explanation:
As written, the constant terms in the first factor cancel each other. The distributive property is used to perform the multiplication:
(3x^2 +1 -1 -x)(2) = (3x^2 -x)(2) = (3x^2)(2) -x(2)
= 6x^2 -2x
The estimated standard error for the sample mean difference is 2.5 .
According to the question
A repeated-measures study comparing two treatments
n = 4
MD(mean difference) = 2
SS (sum of square) = 75
Now,
error for the sample
Formula for standard error
by substituting the value
S² = 25
S = 5 (s is never negative)
Standard error of the estimate for the sample mean difference
As
The standard error of the estimate is the estimation of the accuracy of any predictions.
The formula for standard error of the mean difference
standard error of the mean difference =
standard error of the mean difference =
standard error of the mean difference = 2.5
Hence, the estimated standard error for the sample mean difference is 2.5 .
To know more about estimated standard error here:
brainly.com/question/14524236
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Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.
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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.
The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.
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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.