20. qr is congruent to pn so pn is 20
60% of
35 is 21
Change the percentage (60) into a decimal by dividing it over 100:
Divide 21 by the decimal:
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Answer:
Model A
Step-by-step explanation:
Given the table :
___________M 1 ____ M 2 ____ M 3 ____M 4
Multiple R _ 0.993 ___ 0.991 ___0.936__ 0.746
R Square __0.987___ 0.982 ___0.877 __0.557
Adj R² ____ 0.982___ 0.978 __ 0.849 ___0.513
S E_______ 4,043 __ 4,463 ___11,615 __20,878 Observations_ 12 _____ 12 _____ 12 ____12
Based on the detains of the model given, we could use the R value, R² and standard error values to evaluate the performance of the different models.
The best model will be one with Correlation Coefficient (R value) closet to 1. The model with the highest R value will also have the highest Coefficient of determination, R² value. The a best model is one which has a low a standard error value.
From the table, Model A has the highest R and R² values. It also has the lowest standard error value. Hence, we can conclude that model A provides the best fit.
Answer:
246 ft is the maximum height
Step-by-step explanation:
The height h given above is a quadratic function. The graph of h as a function of time t gives a parabolic shape and the maximum height h occur at the vertex of the parabola. For a quadratic function of the form h = a t² + bt + c, the vertex is located at t = - b / 2a. Hence for h given above the vertex in the question s(t) = 124 + 64t − 16t², is at t
t = -64/2(-16) = 64/32 = 2 seconds
Thus, 2 seconds after the object was thrown, it reaches its highest point (maximum value of h) which is given by
h = -16(2)² + 64 (2) + 124 = 246eet
