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1 year ago

Need help with this math.

Mathematics

1 answer:

madreJ [45]1 year ago

3 0

The end behavior of the function y = x² is given as follows:

f(x) -> ∞ as x -> - ∞; f(x) -> ∞ as x -> - ∞.

<h3>How to identify the end behavior of a function?</h3>

The end behavior of a function is given by the limit of f(x) when x goes to both negative and positive infinity.

In this problem, the function is:

y = x².

When x goes to negative infinity, the limit is:

lim x -> - ∞ f(x) = (-∞)² = ∞.

Meaning that the function is increasing at the left corner of it's graph.

When x goes to positive infinity, the limit is:

lim x -> ∞ f(x) = (∞)² = ∞.

Meaning that the function is also increasing at the right corner of it's graph.

Thus the last option is the correct option regarding the end behavior of the function.

<h3>Missing information</h3>

We suppose that the function is y = x².

More can be learned about the end behavior of a function at brainly.com/question/24248193

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Critical value: b. 2.33

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

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This is a hypothesis test for the difference between proportions.

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$H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0$

The significance level is 0.01.

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$s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.403*0.597}{150}+\dfrac{0.403*0.597}{200}}\\\\\\s_{p1-p2}=\sqrt{0.001604+0.001203}=\sqrt{0.002807}=0.053$

Then, we can calculate the z-statistic as:

$z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.38-0}{0.053}=\dfrac{0.38}{0.053}=7.17$

The critical value for a right-tailed test with a signficance level of 0.01 is zc=2.33 (see picture attached).

As the test statistic z=7.17 is greater than the critical value, it falls in the rejection region.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of women who think sexual harassment is a major problem in the American workplace is significantly higher than the proportion of men.

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