Answer:
.
Step-by-step explanation:
Please consider the complete question.
A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. He gained weight at a rate of 5.5 kilograms per month. After 11 months, he weighed 140 kilograms. Let W(t) denote the sumo wrestler's weight W(measured in kilograms) as a function of time t (measured in months).
Since wrestler gained weight at a rate of 5.5 kilograms per month, so slope of line be 5.5.
Now, we will use point-slope form of equation as:
, where,
m = Slope
= Given point on the line.
Upon substituting coordinates of point (11,140) in above formula, we will get:
![y-140=5.5(x-11)](https://tex.z-dn.net/?f=y-140%3D5.5%28x-11%29)
![y-140=5.5x-60.5](https://tex.z-dn.net/?f=y-140%3D5.5x-60.5)
![y-140+140=5.5x-60.5+140](https://tex.z-dn.net/?f=y-140%2B140%3D5.5x-60.5%2B140)
![y=5.5x+79.5](https://tex.z-dn.net/?f=y%3D5.5x%2B79.5)
Therefore, our required function would be
.
Answer:
The minimum guaranteed mileage is ![x = 71489.55](https://tex.z-dn.net/?f=x%20%3D%2071489.55)
Step-by-step explanation:
From the question we are told that
The mean is ![\mu = 67900](https://tex.z-dn.net/?f=%5Cmu%20%20%3D%20%2067900)
The standard deviation is ![\sigma = 2050](https://tex.z-dn.net/?f=%5Csigma%20%3D%20%202050)
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as
![P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04](https://tex.z-dn.net/?f=P%28%20X%20%20%5Cge%20x%20%29%20%3D1-%20%20P%28%20%5Cfrac%7BX%20-%20%5Cmu%20%7D%7B%5Csigma%20%7D%20%3C%20%5Cfrac%7B%20x%20-%20%2067900%20%7D%7B%202050%7D%20%20%29%20%3D%200.04)
![\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 \ge x ) =1- P( Z](https://tex.z-dn.net/?f=P%28%20X%20%20%5Cge%20x%20%29%20%3D1-%20%20P%28%20Z%3Cz%29%20%3D%200.04)
=> ![P( X \ge x ) = P( Z](https://tex.z-dn.net/?f=P%28%20X%20%20%5Cge%20x%20%29%20%3D%20P%28%20Z%3Cz%29%20%3D%200.96)
=> ![z = \frac{ x - 67900 }{ 2050}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%20x%20-%20%2067900%20%7D%7B%202050%7D)
From the z table, the critical value corresponding to 0.96 to the left of the curve is
![z = 1.751](https://tex.z-dn.net/?f=z%20%3D%201.751)
So
![1.751 = \frac{ x - 67900 }{ 2050}](https://tex.z-dn.net/?f=1.751%20%3D%20%5Cfrac%7B%20x%20-%20%2067900%20%7D%7B%202050%7D)
=> ![x = 71489.55](https://tex.z-dn.net/?f=x%20%3D%2071489.55)
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable.
9 is obtuse isosceles 10 is scalene,right <span />
<span>ax + by + c = 0
by = - ax - c
y = -a/b (x) - c/b
so slope = </span>-a/b
answer
-a/b