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PolarNik [594]
3 years ago
8

Need the answer to 2. 3. 7. 8. please help! Really confused on how to do this.

Mathematics
1 answer:
Oduvanchick [21]3 years ago
4 0
2. \overline{SV}||\overline{TU} (this is given in the first sentence)

3. \angle XSV\cong\angle XUT and \angle XVS\cong\angle XTU due to ...

7. ... the alternate interior angles theorem (which holds because \overline{ST} and \overline{TU} are parallel)

8. Because the above establishes that \Delta SXT\cong\Delta UXV, which means \overline{ST}||\overline{UV}, which in turn means VUTS is a parallelogram.
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Answer: Find the negative reciprocal of the slope of the original line and use the slope-intercept form y=mx+b to find the line perpendicular to y=1/5x−1. y=−5x−17



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Vail Resorts pays part-time seasonal employees at ski resorts on an hourly basis. At a certain mountain, the hourly rates have a
notsponge [240]

Answer:

z=0.842

And if we solve for a we got

\mu=13.16 +0.842*3=15.69

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the hourly rates of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,3)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>13.16)=0.20   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.80 of the area on the left and 0.20 of the area on the right it's z=0.842. On this case P(Z<0.842)=0.8 and P(z>0.842)=0.20

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=0.842

And if we solve for a we got

\mu=13.16 +0.842*3=15.69

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