Answer:
14x-11y
Step-by-step explanation:
6x-2y-5=5-9y+8x
eliminate opposites
6x-2y-9y+8x
collect like terms
14x-11y
<span>At 8in to 250 feet the skyscraper converts to the following.
1.6 in/8 in x 250ft = 50 ft long
2.8in/8in x 250ft = 87.5 ft wide
11.2in/8in x 250ft = 350 ft high
You get this because every 8 in is 250 feet so you need to calculate the ratio of scale to that 8in per 250 feet.</span>
To find the value of x, you need to set up a proportion.This is the proportion you would set up:
2.5 x
---- = ------
3.75 60
x=40
Answer:
A
The value is ![P( X < 7 ) =0.26226](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D0.26226)
B
The value is ![P( X < 7 ) = 0.00073](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D%200.00073)
Step-by-step explanation:
From the question we are told that
The population mean is ![\mu = 7.7 lbs](https://tex.z-dn.net/?f=%5Cmu%20%3D%207.7%20lbs)
The standard deviation is ![\sigma = 1.1 \ lbs](https://tex.z-dn.net/?f=%5Csigma%20%20%3D%201.1%20%5C%20lbs)
The sample size is n = 25
Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as
![P( X < 7 ) = P( \frac{X - \mu }{\sigma} < \frac{7 - 7.7 }{1.1 } )](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D%20%20P%28%20%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%7D%20%20%3C%20%20%5Cfrac%7B7%20-%207.7%20%7D%7B1.1%20%7D%20%29)
![\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )](https://tex.z-dn.net/?f=%5Cfrac%7BX%20-%5Cmu%7D%7B%5Csigma%20%7D%20%20%3D%20%20Z%20%28The%20%20%5C%20standardized%20%5C%20%20value%5C%20%20of%20%20%5C%20X%20%29)
=> ![P( X < 7 ) = P(Z](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D%20%20P%28Z%20%3C-%200.6364%20%29)
From the z table the area under the normal curve to the left corresponding to -0.6364 is
![P(Z](https://tex.z-dn.net/?f=P%28Z%20%3C-%200.6364%20%29%20%20%3D0.26226)
=> ![P( X < 7 ) =0.26226](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D0.26226)
Generally the standard error of mean is mathematically represented as
![\sigma_{x} = \frac{\sigma }{\sqrt{n} }](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%20%5Cfrac%7B%5Csigma%20%7D%7B%5Csqrt%7Bn%7D%20%7D)
=> ![\sigma_{x} = \frac{ 1.1 }{\sqrt{25} }](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%20%5Cfrac%7B%201.1%20%20%7D%7B%5Csqrt%7B25%7D%20%7D)
=> ![\sigma_{x} = 0.22](https://tex.z-dn.net/?f=%5Csigma_%7Bx%7D%20%3D%200.22)
Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as
![P( \= X < 7 ) = P( \frac{\= X - \mu }{\sigma_{x}} < \frac{7 - 7.7 }{ 0.22 } )](https://tex.z-dn.net/?f=P%28%20%5C%3D%20X%20%20%3C%20%207%20%29%20%3D%20%20P%28%20%5Cfrac%7B%5C%3D%20X%20-%20%5Cmu%20%7D%7B%5Csigma_%7Bx%7D%7D%20%20%3C%20%20%5Cfrac%7B7%20-%207.7%20%7D%7B%200.22%20%7D%20%29)
=> ![P( X < 7 ) = P(Z](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D%20%20P%28Z%20%3C-%203.1818%20%29)
From the z table the area under the normal curve to the left corresponding to -3.1818 is
=> ![P(Z](https://tex.z-dn.net/?f=P%28Z%20%3C-%203.1818%20%29%20%20%3D%200.00073)
=> ![P( X < 7 ) = 0.00073](https://tex.z-dn.net/?f=P%28%20X%20%20%3C%20%207%20%29%20%3D%200.00073)
The draw an inscribed polygon inside the circle, the very thing to do is to draw the circle. Thus, the answer is the fourth choice, "Place a point on your paper and then use a compass to construct a circle". After which, we can locate the vertices of the polygon in the circumference of the circle and connect them to make the polygon.