G An article in Concrete Research "Near Surface Characteristics of Concrete: Intrinsic Permeability, (1989, Vol. 41) presented data on compressive strength x and intrinsic permeability y of various concrete mixes and cures. Summary quantities are n = 14, Xn i=1 yi = 572, Xn i=1 y 2 i = 23530, Xn i=1 xi = 43, Xn i=1 x 2 i = 157.42, Xn i=1 xiyi = 1697.80 Assume that the two variables are related according to the simple linear regression model. (a) (20pts) Calculate the least squares estimates of the slope and intercept.

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80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

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56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6