Answer:
Mr. Jones
Step-by-step explanation:
it's Mr. Jones because he drove 63.6 miles and his wife drove 61.3
<h3>
Answer:</h3>
1) Radius: 2√7
2) Center: (10, 5)
3) Circumference: 33.25
<h3>
Explanation:</h3>
Circle formulae:
where (h, k) is the center coordinates, r is radius
Rewrite the equation into standard form:
- (x-(10))² + (x - (5))² = (√28)²
Identify following of the circle:
- h = 10, k = 5, radius = √28 = 2√7
In order to find the Circumference of circle:
- Use the formula: 2π(radius)
radius: 2√7
- Circumference: 2π(2√7) = (4√7)π = 33.2475 = 33.25
Given:
n = 150, sample size
Denote the sample proportion by q (normally written as
![\hat{p}](https://tex.z-dn.net/?f=%5Chat%7Bp%7D)
).
That is,
q = 60/150 = 0.4, sample proportion.
At the 96% confidence level, the z* multiplier is about 2.082, and the confidence interval for the population proportion is
![q \pm z^{*}[ \frac{q(1-q)}{ \sqrt{n} } ]](https://tex.z-dn.net/?f=q%20%5Cpm%20z%5E%7B%2A%7D%5B%20%5Cfrac%7Bq%281-q%29%7D%7B%20%5Csqrt%7Bn%7D%20%7D%20%5D)
That is,
0.4 +/- 2.082* √[(0.4*0.6)/150]
= 0.4 +/- 0.0833
= (0.3167, 0.4833)
= (31.7%, 48.3%)
Answer: The 96% confidence interval is about (32% to 48%)