Eitan randomly selected volcanoes to travel to and study. after traveling, he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes. use the observed frequencies to create a probability model for eitan randomly selecting one volcano in the world on which to conduct an extensive study.

The probability of selecting one volcano in the world on which to conduct an extensive study is 1/37.

The probability is defined as the sum of all observations and the total number of observations.

Given

Eitan randomly selected volcanoes to travel to and study.

After traveling, he had seen 13 cinder cone volcanoes, 18 shield volcanoes, and 6 stratovolcanoes.

Total number of observation = 13 + 18 + 6 = 37

Then,

The probability of selecting one volcano in the world on which to conduct an extensive study is given by;

Hence, The probability of selecting one volcano in the world on which to conduct an extensive study is 1/37.

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P( cinder cones ) =  13/37

P ( shield ) =  18/37

P ( stratovolcanoes) =  6/37

Step-by-step explanation:

We need to find the total number of volcanoes

13 +18 + 6 = 37

P( cinder cones ) = number of cinder cones/ total = 13/37

P ( shield ) = number of shield /total = 18/37

P ( stratovolcanoes) = number of strato /total = 6/37

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

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