The ages of employees in a certain workplace are normally distributed. it is known that 80% of the workers are under 65 years old, and 67% are under 55 years old. what percentage of the workers are under 45 years old? (hint: first find  and σ by calculating the z-scores.) (b) suppose it is known that the wingspan x of the males of a certain bat species is normally distributed with some mean  and standard deviation σ, i. e., x n( , )   , while the wingspan y of the females is normally distributed with the same mean , but standard deviation twice that of the males, i. e., y n( , 2 )   . it is also known that 80% of the males have a wingspan less than a certain amount m. what percentage of the females have a wingspan less than this same amount m? (hint: calculate the z-scores.)

1; 35 is the ratio

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.

not me

step-by-step explanation:

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