Mathematics: Explain this to me. i have tried using an example but i still dont understand it.

Explain this to me. i have tried using an example

kdenormandie3122

05.01.2022

The mean of the n=15 estimates is $\bar x=62.2$ seconds, and the standard deviation of the sample is about s=18.1 . Then the test statistic is

$t=\dfrac{\bar x-\mu_0}{\frac s{\sqrt n}}$

where $\mu_0$ is the mean under the null hypothesis. So

$t=\dfrac{62.2-60}{\frac{18.1}{\sqrt{15}}}\approx0.47$

We go on to find

$P(T0.47)\approx0.32$

so the difference is statistically significant and you reject the null hypothesis.

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NateOLit

13.09.2022

The value of x is 6.

Step-by-step explanation:

In the figure we have two secants.

A secant is a line that intersects a circle in exactly two points.

For the figure attached below:

$a\times b=c\times d$

So for the given figure,

$x\times 8=4\times (4+8)\\\\\Rightarrow\ x=\dfrac{4\times12}{8}\\\\\Rightarrow\ x=6$

Hence, The value of x is 6.

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