Square Root Functions

Mathematics

1 answer:

bezimeni [28]3 years ago

5 0

Answer:

y = √(x) + 4

Step-by-step explanation:

Note that the basic function and graph here are of y = √x. The graph of this basic (parent) function has the same shape as the graph shown, EXCEPT that the graph of y = √x has been translated 4 units upward.

Now look at the given graph. We want to find the function represented by this graph. We note that the shape of the graph is exactly the same as that of the graph of y = √x, except that the latter graph has been shifted up 4 units.

Thus, the parent function y = √x becomes y = √(x) + 4.

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A survey of 1000 air travelers1 found that prefer a window seat. The sample size is large enough to use the normal distribution,

Ludmilka [50]

Answer:

90% confidence interval for the true proportion of air travelers who prefer the window seat is (0.575, 0.625)

Step-by-step explanation:

We have the following data:

Sample size = n = 1000

Proportion of travelers who prefer window seat = p = 60%

Standard Error = SE = 0.015

We need to construct a 90% confidence interval for the proportion of travelers who prefer window seat. Therefore, we will use One-sample z test about population proportion for constructing the confidence interval. The formula to calculate the confidence interval is:

$(p-z_{\frac{\alpha}{2}}\sqrt{\frac{p(1-p)}{n}}, p+z_{\frac{\alpha}{2}}\sqrt{\frac{p(1-p)}{n}})$