Finding probabilities from a table.
round all answers to the nearest 10th of a percent

1. what is the probability that a randomly selected women is a orthopedic doctor?

2. what is the probability that a randomly selected doctor is a women or a orthopedic doctor?

3. what is the probability that a randomly selected doctor is a pediatrician?

4. what is the probability that a randomly selected doctor is a pediatrician or family doctor?

Step-by-step explanation:

1. There are 82 women, of which 28 are Orthopedic doctors.

  28/82 ≈ 34.1%

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2. There are 82 women, and an additional 38 men orthopedic doctors among the 178 doctors.

  (82+38)/178 ≈ 67.4%

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3. There are 42 pediatricians among the 178 doctors.

  42/178 ≈ 23.6%

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4. There are 42 pediatricians and 70 family doctors among the 178 doctors.

  (42+70)/178 ≈ 62.9%

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It is convenient to add totals to the table. They make it easier to answer the questions.

300pi

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for