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V125BC [204]
3 years ago
5

What's the square root of 30(.8)(90)??

Mathematics
1 answer:
Burka [1]3 years ago
3 0
<span>square root of 30(.8)(90)
</span>√30(.8)(90)
√2700(.8)
√2160
12√15

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A square root function has both x and y intercepts.
Nata [24]

Step-by-step explanation:

Square Root:

The equation will never touch the x - axis or the y - axis,so the function does not have an x - or y- intercept. ...Therefore,the x- and y- intercepts are 0.

I hope it's helpful!

8 0
2 years ago
A manufacturer produces crankshafts for an automobile engine. the crankshafts wear after 100,000 miles (0.0001 inch) is of inter
Daniel [21]
Part A:

Significant level:

<span>α = 0.05

Null and alternative hypothesis:

</span><span>h0 : μ = 3 vs h1: μ ≠ 3

Test statistics:

z= \frac{\bar{x}-\mu}{\sigma/\sqrt{n}}  \\  \\ = \frac{2.78-3}{0.9/\sqrt{15}}  \\  \\ = \frac{-0.22}{0.2324} =-0.9467

P-value:

P(-0.9467) = 0.1719

Since the test is a two-tailed test, p-value = 2(0.1719) = 0.3438

Conclusion:

Since the p-value is greater than the significant level, we fail to reject the null hypothesis and conclude that there is no sufficient evidence that the true mean is different from 3.



Part B:

The power of the test is given by:

\beta=\phi\left(Z_{0.025}+ \frac{3-3.25}{0.9/\sqrt{15}}\right) -\phi\left(-Z_{0.025}+ \frac{3-3.25}{0.9/\sqrt{15}}\right) \\  \\ =\phi\left(1.96+ \frac{-0.25}{0.2324} \right)-\phi\left(-1.96+ \frac{-0.25}{0.2324} \right)=\phi(0.8842)-\phi(-3.0358) \\  \\ =0.8117-0.0012=0.8105

Therefore, the power of the test if </span><span>μ = 3.25 is 0.8105.



Part C:

</span>The <span>sample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is obtained as follows:

1-0.9=\phi\left(Z_{0.025}+ \frac{3-3.75}{0.9/\sqrt{n}}\right) -\phi\left(-Z_{0.025}+ \frac{3-3.75}{0.9/\sqrt{n}}\right) \\ \\ \Rightarrow0.1=\phi\left(1.96+ \frac{-0.75}{0.9/\sqrt{n}}\right)-\phi\left(-1.96+ \frac{-0.75}{0.9/\sqrt{n}} \right) \\  \\ =\phi\left(1.96+(-3.2415)\right)-\phi\left(1.96+(-3.2415)\right) \\  \\ \Rightarrow\frac{-0.75}{0.9/\sqrt{n}}=-3.2415 \\ \\ \Rightarrow\frac{0.9}{\sqrt{n}}=\frac{-0.75}{-3.2415}=0.2314 \\  \\ \Rightarrow\sqrt{n}=\frac{0.9}{0.2314}=3.8898

\Rightarrow n=(3.8898)^2=15.13

Therefore, the </span>s<span>ample size that would be required to detect a true mean of 3.75 if we wanted the power to be at least 0.9 is 16.</span>
8 0
3 years ago
*Do not copy and paste nor give no explanation along with any spam or unnecessary information - It will be reported immediately
Sunny_sXe [5.5K]

Solution:

<h3>(D) nonexistent</h3>

lim <u>cos x + sin (2x) + 1 </u> is =0

x—> π x²+π²

<h3>Step by step explaination : </h3>

Plug in the value x = π :

<u>cos </u><u>π</u><u> + sin (2</u><u>π</u><u>) + 1</u> is

π²+π²

Last ,Simplify <u>cos π + sin (2π) + 1</u> is

π²+π²

<h3 /><h3>= 0</h3>
4 0
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The careers or hobbies of my family members can help me earn scholarship awards as some employers and associations offer scholarships to participants and family members.

That is, certain hobbies, skills or careers that members of my family have may involve them in certain jobs or groups that, in turn, offer the possibility of accessing scholarships and other benefits.

Thus, social and labor groups always tend to expand the opportunities of those who participate in them, as well as those of their closest people.

Learn more in brainly.com/question/9958317

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