An article in the New England Journal of Medicine, reported about a study of smokers in California and Hawaii. In one part of the report, the self-reported ethnicity and smoking levels per day were given. Of the people smoking at most ten cigarettes per day, there were 9,886 African Americans, 2,745 Native Hawaiians, 12,831 Latinos, 8,378 Japanese Americans, and 7,650 Whites. Of the people smoking 11 to 20 cigarettes per day, there were 6,514 African Americans, 3,062 Native Hawaiians, 4,932 Latinos, 10,680 Japanese Americans, and 9,877 Whites. Of the people smoking 21 to 30 cigarettes per day, there were 1,671 African Americans, 1,419 Native Hawaiians, 1,406 Latinos, 4,715 Japanese Americans, and 6,062 Whites. Of the people smoking at least 31 cigarettes per day, there were 759 African Americans, 788 Native Hawaiians, 800 Latinos, 2,305 Japanese Americans, and 3,970 Whites. Suppose that one person from the study is randomly selected. Find the probability that person smoked 11 to 20 cigarettes per day. (Enter your probability as a fraction.)

Explanation:

The probability of randomly selecting one person from the study that smoked 11 to 20 cigarettes per day equals the frequency of people smoking 11 to 20 cigarrets divided by the numbers of people that participated in the study.

You need to work (order the data) to obtain the figures you need.

1. People smoking at most ten cigarettes per day,

2. People smoking 11 to 20 cigarettes per da.

3. People smoking 21 to 30 cigarettes per day,

1,671 African Americans,

1,419 Native Hawaiians,

1,406 Latinos,

4,715 Japanese Americans, and

6,062 Whites.

4. People smoking at least 31 cigarettes per day.

Calculate the totals:

Group                         Total

[0 - 10]                      41,490

[11 - 20]                    35,065

[21 -30]                    15,273

[31 and more]           8,622

          Total           100,450

5. Calculate the probability that a person smoked 11 to 20 cigarretes per day:

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.