Using the z-distribution, it is found that the 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so the critical value is z = 1.96.
The sample size and the estimate are given by:
Hence:
The 95% confidence interval for the proportion of sales that occured in December is (0.1648, 0.2948).
More can be learned about the z-distribution at brainly.com/question/25890103
Since the area of a circle is π
, and our radius is 9 we know the total area to be 254.469, and the ratio of sector area to total area is 169.56/254.469 = .6663. There are 360 degrees in a circle, so:
≈ 240°
240 degrees
The first consignment shows no association between the t-shirt size and the profit.
In the second consignment, the bigger the t-shirt size, the smaller the profit. There is an inverse relationship between the two variables.
In the third and fourth consignment, the bigger the size, the larger the profit. There is a direct relationship between the two variables.
So this one is a little tricky because in order to solve you need to combine like terms. The only problem is that two fractions don't have the same denominator.
This is what you do.
2/3 - 1/9
= (2*9) - (1*3) / 3*9
= 18 - 3 / 27
= 15/ 27
Simplify.
5/9 + y = 7/9
Now since you need to isolate the variable you have to subtract 5/9 from both sides. Since the denominator is the same you can just subtract the numerator.
So y = 2/9
I hope this helps love! :)
3x +2y= 11 ----1
x -2 = -4y ---- 2
Equation 2 times by 3
3x -6 = -12y
Subracting 2-1
3x-6=-12y
3x-11=-2y
Leaving
5=-10y
y= -1/2
Hence
B. is the solution
PS, If you rate this as "Brainiest" that would be most appreciated
