No, I would not predict her favorite category is action.
If you look at the percents for the female categories, action is not the highest. The highest category is Comedy. If you have to make a prediction, it would be best to go with Comedy because it is the highest.
Solve by substitution


Just plug in y=-x-1 into y+x=3
So we get:

Simplify that:

And since that is not true, that means this system of equations has no solutions!
Answer:
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Step-by-step explanation:
y cos x = x cos y
y (-sin x) + dy/dx cos x = x (-sin y dy/dx) + cos y
-y sin x + dy/dx cos x = -x sin y dy/dx + cos y
dy/dx (cos x + x sin y) = cos y + y sin x
dy/dx = (cos y + y sin x) / (cos x + x sin y)
Answer:
99% CI:

Step-by-step explanation:
We have to calculate a 99%CI for the difference of means for the vegan and the omnivore.
First, we have to estimate the standard deviation

The MSE can be calculated as

The weighted sample size nh can be calculated as

The standard deviation then becomes

The z-value for a 99% confidence interval is z=2.58.
The difference between means is

Then the confidence interval can be constructed as

We have been given that a line
passes through the point (10, 3) and is parallel to the line
. We are asked to find the y-intercept of the line.
First of all we will rewrite our given equation in slope-intercept form as:




We know that slope of parallel lines is equal, so slope of parallel line to our given line would be
.
Now we will use slope-intercept form of equation to find y-intercept.
, where,
m = Slope,
b = The y-intercept.
Let us substitute
and coordinates of point
in above equation as:





Therefore, the y-intercept is 7 and our required equation would be
.