Answer:
The triangle is an obtuse scalene triangle
Step-by-step explanation:
we know that
if
--------> is a right triangle
if
--------> is an obtuse triangle
if
--------> is an acute triangle
where
c is the greater side
we have



so
so
-------> is an obtuse triangle
Remember that
The given triangle has three different length side
so
Is a scalene triangle
therefore
The triangle is an obtuse scalene triangle
Answer: We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.
Step-by-step explanation:
We know that a 95% confidence interval given an interval of values that we can be 95% sure , that it contains the true mean of the population, not 95% of data lies in it.
Given : A researcher is estimating the mean income of residents in a large city. The income variable is usually skewed to the right. She collects a random sample of 25 people.
The resulting 95% confidence interval is ($26700, $35400).
Then, valid conclusion will be : We are 95% confident that the mean income for all residents of this city is between $26700 and $35400.
Answer:

Step-by-step explanation:
Given


Required
Determine the per capita
The per capita is calculated by dividing number of books by people as follows;

Substitute 2.7 * 10^3 for books and 42 for people

(Approximated)
<em>Hence, the per capita is 64</em>
Answer:
0.033 ft
Step-by-step explanation:
Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.
Pressure is distributed from 0 to maximum at the bottom like the following equation:

So the force generated by water pressure on the side of the tank is

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb


