Answer:
t Subscript alpha divided by 2 = 2.921
Step-by-step explanation:
With sample sizes lower than 30, we use the t-test.
Otherwise, we use the z-test.
Here, n = 17
So we use the t-test.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of 0.99(
). So we have T = 2.921
So the correct answer is:
t Subscript alpha divided by 2 = 2.921
We need to determine the radius and diameter of the circle. If the area of the circle is 10 pi in^2, then, according to the formula for the area of a circle,
A = 10 pi in^2 = pi*r^2. Thus, 10 in^2 = r^2, and r = radius of circle = sqrt(10) in.
Thus, the diam. of the circle is 2sqrt(10) in. This diam. has the same length as does the hypotenuse of one of the triangles making up the square.
Thus, [ 2*sqrt(10) ]^2 = x^2 + x^2, where x represents the length of one side of the square. So, 4(10) in^2 = 2x^2. Then:
40 in^2 = 2x^2, or 20 in^2 = x^2, and so the length x of one side of the square is sqrt(20). The area of the square is the square of this result:
Area of the square = x^2 = [ sqrt(20) ]^2 = 20 in^2 (answer). Compare that to the 10 pi sq in area of the circle (31.42 in^2).
4x/9 = 5/27
Multiply both sides by 9 to give
4x = 45/27
Now multiply both sides by 27 to give
108x = 45
Now divide both sides by 108 to give
x = 45/108
Reduce the fraction to give
x = 5/12
The cafeteria sold ten turkey sandwiches and they sold four ham sandwiches there are 6 more turkey than ham sold and 10 plus 4 is 14 so voalla your welcome
