The adjusted multiple coefficient of determination accounts for the number of independent variables in the model.
The adjusted multiple coefficient of determination, also known as the adjusted R-squared, is a statistical measure used in regression analysis to assess the goodness-of-fit of a regression model. It takes into account the number of independent variables in the model and adjusts the coefficient of determination (R-squared) to account for the degrees of freedom.
The adjusted R-squared provides a more accurate measure of the model's predictive power by penalizing the inclusion of unnecessary variables that do not contribute significantly to the model's explanatory power. It helps to prevent overfitting and provides a more reliable estimate of the model's performance.
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Answer:
JK = 83 , m∠A = 70° , m∠ALM = 110°
Step-by-step explanation:
* Lets explain how to solve the problem
∵ ABCD is a trapezoid
∴ DC // AB
∴ m∠D + m∠A = 180° ⇒ interior supplementary angles
∵ m∠D = 110°
∴ 110° + m∠A = 180° ⇒ subtract 110° from both sides
∴ m∠A = 70°
∵ L is the midpoint of AD, and M is the midpoint of BC
∴ LM is the median of trapezoid ABCD
∴ LM // AB and DC
∴ m∠D = m∠ALM ⇒ corresponding angles
∵ m∠D = 110°
∴ m∠ ALM = 110°
- The length of the median is half the sum of the lengths of the two
parallel bases
∴ LM = 1/2 (AB + DC)
∵ AB = 96 units and DC = 44 units
∴ LM = 1/2 (96 + 44) = 1/2 (140) = 70 units
- In the quadrilateral ABML
∵ AB // LM
∵ AL ≠ BM
∴ ABML is a trapezoid
∵ JK is its median
∴ JK = 1/2 (AB + LM)
∵ AB = 96 units ⇒ given
∵ LM = 70 units ⇒ proved
∴ JK = 1/2 (96 + 70) = 1/2 (166) = 83
∴ JK = 83 units
5 nail polishes and 4 lip glosses
nail polish= $22.50
lip gloss= $28.00
Simplify both sides of the equation
4(x-3) = 7x+24
4x-12 = 7x+24
Subtract 7x from both sides
4x-12-7x= 7x+24-7x
-3x-12= 24
Add 12 to both sides
-3x-12+12 = 24+12
-3x=36
Divide both sides by -3
-3x/-3= 36/-3
x = -12
Answer : B
I hope that's help !