The scatter plot below represents the weight of a box of cookies based on the number of cookies in the box. A trend line shows the relationship. Tell whether each statement is True or False.

a. The y-intercept represents the weight

of the box itself. True or False

b. The slope of the line represents the weight

of each cookie. True or False

c. There is no association between the number of

cookies and the weight of the box of cookies. True or False

d. If a box contains 1 cookie, the trend line predicts

that the box of cookies will weigh about 0.5 ounce. True or False

e. If a box contains 13 cookies, the trend line predicts

that the box of cookies will weigh about 3.75 ounces. True or False

The answers are as follows- a. True. b. True. c. False d. False. e. True Good luck !

Step-by-step explanation:

answer: 1, 3 and 5 are correct

step-by-step explanation:

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.