Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
![\mu=15\\\sigma=5](https://tex.z-dn.net/?f=%5Cmu%3D15%5C%5C%5Csigma%3D5)
An individual's predicted survival time is <em>a</em> = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
![X=\mu+a\sigma](https://tex.z-dn.net/?f=X%3D%5Cmu%2Ba%5Csigma)
![=15+(2.8\times 5)\\\\=15+14\\\\=29](https://tex.z-dn.net/?f=%3D15%2B%282.8%5Ctimes%205%29%5C%5C%5C%5C%3D15%2B14%5C%5C%5C%5C%3D29)
Thus, the time the patient expected to survive after diagnosis is 29 years.
1.) 3.06 x10^13
2.) 3.199996 x10^12
3.) 7.75 x10^7
Cotxcos2x = 2cotx
cos2x = 2cotx/cotx
cos2x = 2
cos2x = 2cos²x - 1
2cos²x - 1 = 2
2cos²x = 2+1
2cos²x = 3
cos²x = 3/2
√cos²x = plus minus √(3/2)
cosx = plus minus √(3/2)
Furniture costs 3% more than last year.
So last year furniture cost 97% of the current price.
Price for tables last years was = 97/100 × $2950 = $2861.5
Which is $2862 to nearest dollar.
Price for chairs last year = 97/100 × $3850 = $3734.5
Which is $3735 to nearest dollar.
Take into account that in general, a linear function can be written as follow:
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
where m is the slope of the line and b the y-coordinate of the y-intercept.
In this case, you have that m=1/5 and b=-3, then, the line equation is:
![y=-\frac{1}{5}x-3](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B1%7D%7B5%7Dx-3)
In order to graph the line, proceed as follow:
Use two values of x to replace into the equation for y, for instance, use 0 and 5:
![\begin{gathered} y=\frac{1}{5}(0)-3=-3 \\ y=\frac{1}{5}(5)-3=1-3=-2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%5Cfrac%7B1%7D%7B5%7D%280%29-3%3D-3%20%5C%5C%20y%3D%5Cfrac%7B1%7D%7B5%7D%285%29-3%3D1-3%3D-2%20%5Cend%7Bgathered%7D)
The previous results mean that (0,-3) and (5,-2) are two points on the line.
Place the previous points on the coordinate system, and draw a straight line which crosses these points:
The red line is the graph of the given function.