Answer:
Step-by-step explanation:
Let X be the length of pregnancy.
X is N(268, 15)
a) Prob of pregnancy lasting 307 days or longer
= P(X>307) = ![P(Z>\frac{307-268}{15} )\\=P(Z>2.6)\\](https://tex.z-dn.net/?f=P%28Z%3E%5Cfrac%7B307-268%7D%7B15%7D%20%29%5C%5C%3DP%28Z%3E2.6%29%5C%5C)
=0.5-0.4953
=0.0047
b) Lowest 2% is 2nd percentile
Z=-2.55
X score = 268-2.55(15)
= 229.75 days
If length of days >230 days then it is not premature.
<u>ANSWER TO PART A</u>
The given triangle has vertices ![J(-4,1), K(-4,-2),L(-3,-1)](https://tex.z-dn.net/?f=J%28-4%2C1%29%2C%20K%28-4%2C-2%29%2CL%28-3%2C-1%29)
The mapping for rotation through
counterclockwise has the mapping
![(x,y)\rightarrow (-y,x)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28-y%2Cx%29)
Therefore
![J(-4,1)\rightarrow J'(-1,-4)](https://tex.z-dn.net/?f=J%28-4%2C1%29%5Crightarrow%20J%27%28-1%2C-4%29)
![K(-4,-2)\rightarrow K'(2,-4)](https://tex.z-dn.net/?f=K%28-4%2C-2%29%5Crightarrow%20K%27%282%2C-4%29)
![L(-3,-1)\rightarrow L'(1,-3)](https://tex.z-dn.net/?f=L%28-3%2C-1%29%5Crightarrow%20L%27%281%2C-3%29)
We plot all this point and connect them with straight lines.
ANSWER TO PART B
For a reflection across the y-axis we negate the x coordinates.
The mapping is
![(x,y)\rightarrow (-x,y)](https://tex.z-dn.net/?f=%28x%2Cy%29%5Crightarrow%20%28-x%2Cy%29)
Therefore
![J(-4,1)\rightarrow J''(4,1)](https://tex.z-dn.net/?f=J%28-4%2C1%29%5Crightarrow%20J%27%27%284%2C1%29)
![K(-4,-2)\rightarrow K''(4,-2)](https://tex.z-dn.net/?f=K%28-4%2C-2%29%5Crightarrow%20K%27%27%284%2C-2%29)
![L(-3,-1)\rightarrow L''(3,-1)](https://tex.z-dn.net/?f=L%28-3%2C-1%29%5Crightarrow%20L%27%27%283%2C-1%29)
We plot all this point and connect them with straight lines.
See graph in attachment
Step-by-step explanation:
Simplify the left side:
5x - 20 = 3x + 4
Move all terms containing x to the left side of the equation:
2x - 20 = 4
Move all terms not containing x to the right side of the equation:
2x = 24
Divide each term by 2 and simplify:
x = 12
Answer:
<h2>C) Public Company Accounting Oversight Board</h2><h3>(PCAOB)</h3>
Step-by-step explanation:
The PCAOB is a nonprofit corporation established by Congress to oversee the audits of public companies in order to protect investors and further the public interest in the preparation of informative, accurate, and independent audit reports.
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Answer:
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