You are conducting an experiment to determine whether males and females have different emotional reactions to chocolate consumption. your male sample size is 124, and your female sample size is 232. what is your degrees of freedom when determining your p-value?

354

Step-by-step explanation:

Data provided in the question:

Sample size of the male = 124

Sample size of the female = 232

Now,

Degree of freedom is calculated as = (Sample,1  - 1 ) + (Sample,2  - 1 )

Therefore,

Degree of freedom

= (Sample size of the male - 1 ) + (Sample size of the male - 1)

or

Degree of freedom = ( 124 - 1 ) + ( 232 - 1 )

or

Degree of freedom = 123 + 231

or

Degree of freedom = 354

y > 1/3x

y < = -x + 4

hope this : )

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.