Clayton uses 3/4 of a bottle of hot sauce for every batch of salsa he makes. Yesterday, he used 2 1/4 bottles of hot sauce. How
1 answer:
You might be interested in
Answer:
D) (3.67, 4.73)
Step-by-step explanation:
Confidence Interval for the true average number of homes that a person owns in his or her lifetimecan be calculated using M±ME where
- M is the average number of home owned (4.2)
- ME is the margin of error from the mean
And margin of error (ME) can be calculated as
ME= where
- z is the corresponding statistic in the given confidence level(1.96)
- s is the standard deviation of the sample(2.1)
- N is the sample size (60)
Putting the numbers we get ME=≈0.53
Then the 95% confidence interval is 4.2±0.53 or (3.67, 4.73)
Answer:
<em>The coordinates of P are (-2,0)</em>
<em>The radius of the circle is 5.</em>
Step-by-step explanation:
<u>Analytic geometry</u>
The diagram shows a circle with center P, and two points A(-6,3) and B(2,-3) that form the diameter of the circle.
a)
The center of the circle lies at the midpoint of A and B. The midpoint (xm,ym) can be calculated by:
Substituting x1=-6, x2=2, y1=3, y2=-3:
Thus, the coordinates of P are (-2,0)
b) The radius of the circle is the distance from the center to any point in its circumference. We can use the distance from P to A or B indistinctly.
Given two points A(x1,y1) and P(x2,y2), the distance between them is:
Substituting x1=-6, x2=-2, y1=3, y2=0:
The radius of the circle is 5.