Answer:
x = 8√5
Step-by-step explanation:
for right triangle
c^2 = a^2 + b^2
with c is the hypotenuse; a & b are the other sides
(4 + 16)^2 = (4√5)^2 + x^2
400 = 80 + x^2
x^2 = 320
x^2 = 64(5)
√x^2 = √64(√5)
x = 8√5
Answer: c) About 16% of the variation in value of the car is explained by a linear relationship with the age of the car.
e) The correlation coefficient, r, is 0.397.
Step-by-step explanation:
Given that:
Coefficient of determination (r²) between two variables, age of car (x) and value of car (y) = 0.158
Correlation of determination (r²) of 0.158 = (0.158 × 100% = 15.8% of the variation between the two variables can be explained by the regression line). Hence, about 16% of the variation between age and value of car can be explained by the linear relationship.
Coefficient of correlation (r) = sqrt(r²) = sqrt(0.158) = 0.397
You said that. 2x - 9 = 7 . . . . .
Add. 9. to each side: 2x = 16 . . . . .
Divide each side by 2 : x = 8
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