Answer:
(y^2+1)(x^2+1)=k
Step-by-step explanation:
It looks like it is possibly separatable.
Let's try.
Factor the x out on first term and factor the y out on second term:
x(y^2+1)dx+y(x^2+1)dy=0
Subtracting y(x^2+1)dy on both sides:
x(y^2+1)dx=-y(x^2+1)dy
Divide both sides by (y^2+1)(x^2+1):
x/(x^+2+1)dx=-y/(y^2+1)dy
Integrate both sides..
Use substitution u=x^2+1 and v=y^2+1...so du= 2x dx and dv=2y dy.
.5du/u=-.5dv/v
.5ln|u|=-.5ln|v|+c
Multiply both sides by 2:
ln|u|=-ln|v|+c
Plug in our substitutions :
ln|x^2+1|=-ln|y^2+1|+c
Absolute values unnecessary since insides are positive always.... also -ln(y^2+1)=ln(1/(y^2+1))
e^ on both sides:
x^2+1=k(1/y^2+1)
(y^2+1)(x^2+1)=k
Answer: 0.82 miles per gallon
Step-by-step explanation:
Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.
The results are :45 44 43 44 45 44 43
The formula to find the standard deviation is given by :-

First we find mean of the given data ,

Now,


Now, standard deviation of the above results will be :-

Hence, the standard deviation of these results = 0.82 miles per gallon
Answer:
Option C) The symbol y represents the predicted value of price.
Step-by-step explanation:
We are given the following in the question:
We find a regression equation with x representing the ratings and y representing price.
The equation has a slope of 130 and a y-intercept of 350.
Comparing with the slope intercept form:

Thus, we can write the equation as:

Here, y is the predicted variable that is the price, c is the price of hotel when a rating of 0 is given.
Thus, symbol y represents:
C) The symbol y represents the predicted value of price.
You said that Y = Mx + B
Subtract B from each side: Y - B = Mx
Divide each side by 'x' : (Y - B) / x = M