Astudy is carried out to determine the effect of party affiliation on voting behavior in a certain city. the city is divided up into wards. in each ward, the percentage of registered democrats who vote is higher than the percentage of registered republicans who vote. true or false: for the city as a whole, the percentage of registered democrats who vote must be higher than the percentage of registered republicans who vote. if true, why? if false, give an example.

True.

Step-by-step explanation:

Because by having the higher percentage of voters in each ward, the Democrats have a higher percentage than the Republicans in the city as a whole.

If the city represens the 100% of the voters and is divided into four wards, each ward represents the 25% of the people who vote.

Ward 1: 25% Democrats: 15%

                   Republicans: 10%

Ward 2: 25% Democrats: 13%

                    Republicans: 12%

Ward 3: 25% Democrats: 14%

                    Republicans: 11%

Ward 4: 25% Democrats: 18%

                    Republicans: 7%

If you add up the percentage of Democrats who vote you will get 60%

On the other hand, if you add up the percentage of the Republicans you will get 40%.

I hope this answer helps you.

1) is right

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.