Answer: 60.93 < μ < 69.07
Step-by-step explanation: The true mean of a set of data is between an interval of values with a percentage of precision, e.g., a <u>99% confidence interval</u> means we are 99% confident the true mean is between the lower and upper limits.
To find the interval, use
x±
z is z-score related to the % of confidence level
In this case, a 99% confidence interval is 2.576
x is sample mean
Calculating:
x = 65
65±
65±4.07
Confidence Interval: 60.93 < μ < 69.07
Meaning that we are 99% sure the population means is between 60.93 and 69.07.
Tan is opposite÷ adjacent.
So tan(d) = 7÷24. It is already in the simplest form.
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451.76 and <span>451.7576 these two</span>
9514 1404 393
Answer:
(x -2)^2 +(y +4)^2 = 16
Step-by-step explanation:
The equation of a circle with center (h, k) and radius r is ...
(x -h)^2 +(y -k)^2 = r^2
You have (h, k) = (2, -4) and r = 4, so your equation is ...
(x -2)^2 +(y -(-4))^2 = 4^2
(x -2)^2 +(y +4)^2 = 16