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3 years ago

Lim x-> infinity of arctan(lnx)

1 answer:

8 0

Lim x-> infinity of arctan(lnx)= arctan (infinity), because lnx-----> infinity when x ----> infinity

but arctan (infinity) = Pi/2, so Lim x-> infinity of arctan(lnx)= Pi/2

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Step-by-step explanation:

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2 years ago

Which is a possible number of distinct real roots for a cubic function? Select all that apply.

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2 years ago

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Answer:

The value of the test statistic is 4.70.

Step-by-step explanation:

The hypothesis for this test can be defined as follows:

H₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.

Hₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.

The population standard deviations are not known.

So a t-distribution will be used to perform the test.

The test statistic for the test of difference between mean is:

$t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }$

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Compute the value of the test statistic as follows:

$t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70$

Thus, the value of the test statistic is 4.70.

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Answer:

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