A linear correlation scatterplot is also a direct proportionality. True or False

False

Step-by-step explanation: A linear correlation scatter plot is one which is aimed at establishing a graphical view of the relationship between two quantitative variables. A linear correlation scatter plot could either be positive which is depicted by a positive gradient which infers direct proportionality, this means an increase in variable A results in increase in variable B while a decrease in variable A results in decrease in variable B. Similarly, it could also exhibit a negative gradient which infers a inverse proportionality meaning a decrease in one variable leads to increase of the other and vice-versa. Hence, a linear scatterplot does not only exhibit direct proportionality.

37) m∠x = 5.25

39) m∠x = 0.5236 and m∠x = 2.62

Step-by-step explanation:

37)

∵ cotx = -0.6 and 3π/2 ≤ x ≤ 2π

∴ tanx = -1/0.6

∵ ∠ x in the fourth quadrant ⇒ ∴ m∠x = 2π - α where α is an acute angle

∵ tanα = 1/0.6 ⇒ α =

∴ α = 1.03038

∴ m∠x = 2π - 1.03038 = 5.25

39)

∵ cscx = 2 and 0 ≤ x ≤ 2π

∴ sinx = 1/2 ⇒ +ve value

∴ ∠x is in the first quadrant or the second quadrant

∴ m∠x = α or m∠x = π - α

∵ sinα = 1/2 ⇒ ∴ α =

∴ α = 0.5236

∴ m∠x = 0.5236

∴ m∠x = π - 0.5236 = 2.6216 ≅ 2.62