Answer:
the last one
Step-by-step explanation:
A = pi * r^2.....r = radius and pi = 3.14
A = (3.14)(13^2)
A = 3.14(169)
A = 530.66
Answer:
(a) 20 ways
(b) 0.05 or 5%
Step-by-step explanation:
(a) Assuming that the order in which people are chosen does not matter, the number of ways to select 3 people out of possible 6 is given by the following combination.
(b) In a random sampling procedure, every outcome is just as likely to occur. Therefore, the chances that any particular sample will be the one selected are:
Considering the margin of error, it is found that the 95% confidence interval for the percentage of adults who say vaccines should be required is (64.9%, 71.1%).
<h3>What is a confidence interval?</h3>
It is given by the sample statistic plus/minus the margin of error.
In this problem, 68% of adults say such vaccines should be required, with a margin of error of 3.1%, hence:
68% - 3.1% = 64.9%.
68% + 3.1% = 71.1%.
The 95% confidence interval for the percentage of adults who say vaccines should be required is (64.9%, 71.1%).
More can be learned about confidence intervals at brainly.com/question/25890103
Complete question :
Sharon is making a large batch of soup. The soup reaches a height of 25 in a cylindrical pot whose diameter is 30cm. To store the soup for later, she'll pour it into ice cube molds where each cube has edges that are 7cm long. How many whole cubes can Sharon make?
Answer:
About 51 ice cubes
Step-by-step explanation:
Given the following :
Height (h) of cylindrical pot = 25
Diameter = 30cm
Edge of ice cube = 7cm long
Volume of cylinder (v) = πr^2h
V = π * (30/2)^2 * 25
V = π * 15^2 * 25
V = 17671.458cm^3
Therefore, the soup occupies 17673.75cm^3
Volume of cubes to store the soup for later:
The volume of a cube is given by the formula:
V = a^3
Where a is the length of it's edge
V = 7^3
V = 343cm^3
Number of cubes required to store soup:
(Volume of cylinder / Volume of ice cube)
17671.458cm^3 / 343cm^3
= 51.520287
This is about 51 whole cubes
