The graph of y=f(x) is the solid black graph below. Whoch function represents the dotted line
1 answer:
The function that represents the dotted line of the graph using transformation rules is; f(x - 1) - 4.
<h3>How to Interpret Translation of Graphs?</h3>For the function f(x) of the given graph, when we look at the solid line, we see that it has a root at x = -1 which means it has a zero at x = -1.
However, when observing the dashed line, we see that it has a root at x = 0 which means it has a zero at x = 0.
Thus, we can deduce from transformation rules that the function was moved by 1 unit to the right to get the new function.
Secondly, we observe that the dashed line is also below the function f(x), and we observe further that 4 was subtracted. Therefore, when we use the transformation rules again for subtracting from a function, we get the final function as; f(x - 1) - 4.
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Answer:
The margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.
Step-by-step explanation:
We are given that according to a survey of 500, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a standard error of 717.51.
Margin of error tells us that how much our sample mean value deviates from the true population value.
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<u>Margin of error is calculated using the following formula;</u>
Margin of error =
where, = level of significance = 1 - confidence level
= 1 - 0.95 = 0.05 or 5%
Standard of Error = = 717.51
Now, the value of z at 2.5% level of significance () is given in the z table as 1.96, that means;
Margin of error =
= = 1406.32
Hence, the margin of error for constructing a 95% confidence interval on the population mean income before taxes of all consumer units in the U.S is 1406.32.