Answer: (0.132132, 0.274368)
Step-by-step explanation:
Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.
i.e. n= 123
Critical value for 95% confidence interval :
Confidence interval for population :
i.e.
Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)
So the 45-45-90 triangle is considered to be a "special triangle" and has a rule with it. If the legs are x, then the hypotenuse is x√2. Since we know that the hypotenuse is 18, this means we can set up our equation as such:
From here we can solve for x. Firstly, divide both sides by √2.
Next, we want to simplify this expression and to do that we first have to rationalize the denominator. With the right side, multiply the numerator and denominator by √2:
Next, divide:
<u>In short, the length of one leg of the triangle is 9√2 cm.</u>