By measuring the width of the circle or sphere radius is half of the diameter
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.

Answer:
irrational
Step-by-step explanation:
Use the Pythagorean theorem.
5² + 6² = c²
25 + 36 = c²
c² = 61
7² = 49
6² = 64
61 is between 7² and 8², so it is not rational.
By the polynomial remainder theorem, the remainder is
<em>f</em> (2) = 2⁵ + 5×2³ + 4 = 32 + 40 + 4 = 76
(The theorem says a polynomial <em>p(x)</em> has remainder <em>p(c)</em> upon dividing it by <em>x</em> - <em>c</em>.)
The confidence interval would be

.
We use the formula

, where

, with p being the sample proportion and N being the sample size.
First we find the z-score associated with this level of confidence:
Convert 95% to a decimal: 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 1.96.
Since 578/720 said yes, this gives us p=0.80:

This gives us