Acarnival has a duck pond booth. you choose a rubber duck at random. the mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. there are 65 ducks floating in the pond. there are 3 marked as large-prize winners, 13 ducks marked as medium-prize winners, and 21 ducks marked as small-prize winners. find the theoretical probability of winning a medium prize at the duck pond. express your answer as a decimal. if necessary, round your answer to the nearest thousandth. 21/65 1/21 1/12 1/5

the theoretical probability of winning a medium prize at the duck pond= 1/5 or 0.2.

Step-by-step explanation:

Given: The total number of ducks in the pond =65

The number of ducks marked as medium-prize winners=13

Now, the probability of of winning a medium prize at the duck pond is given by:-

Hence,  the theoretical probability of winning a medium prize at the duck pond= 1/5 or 0.2.

answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

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