Answer:
95% confidence interval: (0.325 ,0.383)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 231
Sample mean = 0.354 ppm
Sample standard deviation = 0.231 ppm
95% confidence interval:
Putting the values, we get,
You almost had it right! remember the equation of a circle is
(x - h)^2 + (y - k)^2 = r^2. the center is (h,k) and r is the radius.
(x - 0)^2 + (y - 0)^2 = 5^2
x^2 + y^2 = 25 <<< your answer
hope that helps, God bless!
39.50-23.76-2.57-1.49=11.68
take the sales and subtract the expenses
Answer:
a) The probability that at least 5 ties are too tight is P=0.0432.
b) The probability that at most 12 ties are too tight is P=1.
Step-by-step explanation:
In this problem, we could represent the proabilities of this events with the Binomial distirbution, with parameter p=0.1 and sample size n=20.
a) We can express the probability that at least 5 ties are too tight as:

The probability that at least 5 ties are too tight is P=0.0432.
a) We can express the probability that at most 12 ties are too tight as:

The probability that at most 12 ties are too tight is P=1.
6(-5n+7)=0
We simplify the equation to the form, which is simple to understand
6(-5n+7)=0
Reorder the terms in parentheses
+(-30n+42)=0
Remove unnecessary parentheses
-30n+42=0
We move all terms containing n to the left and all other terms to the right.
-30n=0-42
We simplify left and right side of the equation.
-30n=-42
We divide both sides of the equation by -30 to get n.
n=1.4
Hope this helps!