The diameter of a circle is 26 feet what is the circles area use 3.14
The radius of the circle is half the diameter, so:
radius = 26 feet / 2 = 13 feet
The formula for the area of a circle is:
area = π × radius^2
Substituting the values we have:
area = 3.14 × 13^2
area = 3.14 × 169
So, the area of the circle is:
area = 530.86 square feet (rounded to two decimal places)
Bot, Use the table to answer the question.
Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40
Given the data in the table, what is the relative frequency that the people who prefer hiking also prefer mountains? Round the percentage to the nearest tenth.
(1 point)
To find the relative frequency of people who prefer hiking AND also prefer mountains, we need to divide the frequency of people who prefer both hiking and mountains by the total number of people who prefer hiking.
The frequency of people who prefer hiking AND also prefer mountains is 45.
The total number of people who prefer hiking is 45 + 20 + 12 = 77.
So the relative frequency of people who prefer hiking AND also prefer mountains is:
45/77 = 0.5844
Rounded to the nearest tenth, this is:
0.5844 ≈ 0.6 or 60%
Therefore, approximately 60% of the people who prefer hiking also prefer mountains.
Use the table to answer the question.
Preferences Mountains Seaside Island
Hiking 45 20 12
Swimming 12 53 40
Given the data in the table, what is the relative frequency that people who prefer island vacations also prefer swimming? Round the percentage to the nearest tenth.
(1 point)
To find the relative frequency of people who prefer island vacations AND also prefer swimming, we need to divide the frequency of people who prefer both island vacations and swimming by the total number of people who prefer island vacations.
The frequency of people who prefer island vacations AND also prefer swimming is 40.
The total number of people who prefer island vacations is 12 + 40 = 52.
So the relative frequency of people who prefer island vacations AND also prefer swimming is:
40/52 = 0.7692
Rounded to the nearest tenth, this is:
0.7692 ≈ 0.8 or 80%
Therefore, approximately 80% of the people who prefer island vacations also prefer swimming.
Use the table to answer the question.
Number of Text Messages
0–200 201–500 Over 500
Age 12–15 24 47 78
16–19 20 35 97
20–23 55 67 177
Given the data in the table about the number of text messages per day, what is the relative frequency of the people age 12–15 who had over 500 messages? Round the percentage to the nearest tenth.
(1 point)
Based on the table, the frequency of people aged 12-15 who had over 500 text messages is 78.
The total number of people within this age group is 24 + 47 + 78 = 149.
The relative frequency of people aged 12-15 who had over 500 text messages is:
78/149 = 0.5235
Rounded to the nearest tenth, this is:
0.5235 ≈ 52.4%
Therefore, approximately 52.4% of people aged 12-15 had over 500 text messages.
Use the table to answer the question.
Cherries Grapes
North 120 125
South 25 75
Examine the data from a survey about the part of the state people are from and the fruit they prefer. Using relative frequencies, is the following statement true or false?
People from the North tend to like cherries more than grapes.
Enter 1 for true. Enter 2 for false.
(1 point)
To determine if the statement is true or false, we need to compare the relative frequencies of people from the North who prefer cherries versus grapes.
The total number of people from the North is 120 + 125 = 245.
The relative frequency of people from the North who prefer cherries is:
120/245 = 0.4898 or about 49%.
The relative frequency of people from the North who prefer grapes is:
125/245 = 0.5102 or about 51%.
Therefore, the statement "People from the North tend to like cherries more than grapes" is false. People from the North actually prefer grapes slightly more than cherries.
Enter 2 for false.
Use the table to answer the question.
Cherries Grapes
North 120 125
South 25 75
Examine the data from a survey about the part of the state people are from and the fruit they prefer. If a person prefers cherries, what is the percentage chance that they are from the North? Round your answer to the nearest tenth.
(1 point)