4 letters are typed, without repetition. what is the probability that all 4 will be vowels? write your answer as a percent. round your answer to three decimal places

2/13; 15.38%; 0.154

Step-by-step explanation:

Since total number of letters in the alphabet is equal to 26, this will give the total outcome.

If 4 letters are typed, without repetition, the expected outcome is 4 since there are no repetition.

Probability = expected number of outcome/total number of outcome

Probability that all 4 will be vowels will be;

P(all vowels) = 4/26 = 2/13

Expressing 2/13 as percent, we will have;

2/13 × 100

= 200/13

= 15.38%

Expressing 2/13 as decimal will give;

2/13 = 0.1538

2/13 = 0.154( to 3 decimal places)

Note that the third digits after the decimal point 3 is rounded off to 4 because the number succeeding it is 8 which greater than 4

the correct answer is b. negative exponential growth.

step-by-step explanation:

you can tell it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

it is negative because the y-axis decreases as the x-axis increases.

therefore it is a negative exponential growth graph.

hope i !

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.