The correlation coefficient r between the age of a homeowner, x, and the number of years remaining on the homeowner's mortgage, y, is 0.485. what percent of the variation in the number of years remaining on a mortgage can be explained by differences in homeowners' ages? question 9 options: 23.5% 48.5% 51.5% 97%

Solution: We are given that the correlation coefficient between the age of a homeowner, x , and the number of years remaining on the homeowner's mortgage, y, is 0.485

We know that coefficient of determination is the percent of the variation in the dependent variable that is explained by the independent variable. The coefficient of determination is the square of correlation coefficient and is denoted by

Therefore, we have:

denotes

Hence the option 23.5% is correct

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°

answer: check all that apply, where the options?

step-by-step explanation: