For this case we observe that we have a percentage of blue thread which will be given by:
(2/9) * (100) = 22.22222222%
Making the following rule of three we have:
34 ----> 100%
x ------> 22.22222222%
Clearing x we have:
x = ((22.22222222) / (100)) * (34)
x = 7.555555555
x = 7.6
Answer:
Paige did buy 7.6 yards of blue yarn
Answer:
2:12 or 1:6
Step-by-step explanation:
there are 12 students. you and your friend are 2 of the 12. so it would be a 2:12 chance that you or your friend would get picked. unless if you simplify which then it would be a 1:6 chance that either of you would get picked.
Answer:
0.940
Step-by-step explanation:
Given the data:
Age in years(X) _____Height(Y)
7 _________ 47.3
8 _________48.8
5 __________41.3
8 _________ 50.4
8 ___________51
7 __________47.1
7 __________46.9
7 ___________48
9 __________51.2
8 __________51.2
5 __________40.3
8 __________48.9
6 __________45.2
5 __________41.9
8 __________49.6
The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.
Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.
Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.
Answer:
(1/4, ln(1/2))
Step-by-step explanation:
The slope of the given line is -1/4, so the perpendicular line will have a slope of -1/(-1/4) = 4.
The slope of the given function is its derivative:
y' = 2/(2x) = 1/x
That will have a value of 4 when x = 1/4.
The point on the graph where the slope is 4 is (x, y) = (1/4, ln(1/2)).
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