In Cartesian coordinates, the region is given by

,

, and

. Converting to cylindrical coordinates, using

we get a Jacobian determinant of

, and the region is given in cylindrical coordinates by

,

, and

.
The volume is then
Answer:
42.1% of variation in the response is explained by the regression line
Step-by-step explanation:
Correlation coefficient is a measure which tells us that how strongly are two variables under study are linearly related to each other i.e correlation coefficient gives the strength of linear association between the variables.
If the magnitude of correlation coefficient is closer to 1, it indicates a strong linear relationship. If the magnitude of correlation coefficient is closer to 0, it indicates a weak linear relationship.
There is another variable known as "Coefficient of Determination", which is equal to square of Correlation Coefficient. Coefficient of Determination tells us that what percentage of variation in the response of the study can be explained by the regression line.
This means, for this question we need to calculate the Coefficient of Determination.
Correlation coefficient = r = 0.649
Coefficient of Determination = R = r² = (0.649)²= 0.421 = 42.1 %
This means that 42.1% of variation in the response is explained by the regression line.
Answer:
Option B. -j = -h/-k is not correct
Step-by-step explanation:
As from the given scenario both the negative signs will be cancelled out giving positive j : -h/-k = -j
First option has: -j = -h/k In this case also the negative sign from both sides would be cancelled out.
Second option has: -h/-k = -j In this case negative signs cannot be cancelled out.
Third option has: h/-k = -j , negative sign would be cancelled from both sides.
Fourth option has: h/k = j , no negative sign on either side.
i hope it will help you!