Answer: 3 inches
Step-by-step explanation:
Answer:

Step-by-step explanation:
Given




Required
The perimeter
To do this, we first calculate the side lengths using distance formula

So, we have:








The perimeter is:



Answer:
5/9
Step-by-step explanation:
Start be letting x = 0.555...
Our original equation is:
x = 0.555...
There is only one digit repeating, the 5, so we multiply both sides of that equation by 10 and write it above the original equation.
10x = 5.555...
x = 0.555...
Now we subtract the second equation from the first equation as written above.
9x = 5
Divide both sides by 9.
x = 5/9
0.555... = 5/9
Answer:
(0.4958, 0.7422)
Step-by-step explanation:
Let p be the true proportion of water specimens that contain detectable levels of lead. The point estimate for p is
. The estimated standard deviation is given by
. Because we have a large sample, the 90% confidence interval for p is given by
where
is the value that satisfies that above this and under the standard normal density there is an area of 0.05. So, the confidence interval is
, i.e., (0.4958, 0.7422).
Answer:
Sheet metal remaining = 4.1x
cost per square foot of sheet metal = $30
Step-by-step explanation:
Total sheet metal bought = 7.6 ft2
Total sheet metal used = 3.5 ft2
Given equation:
7.6x − 3.5x = 123
Where,
x = cost per square foot
7.6x − 3.5x
Sheet metal remaining = 4.1x
7.6x − 3.5x = 123
4.1x = 123
x = 123 / 4.1
x = $30
Cost per square foot = $30