Hello :
sin x = 0.5...............(answer : <span>b) 30° )</span>
Answer:

Step-by-step explanation:
Median. Median in this case will give the most meaningful information about this data set.
<em>Reason</em>: There is at least one extreme score,32, in the distribution. It is an outlier that has a great effect on the mean:-

Hence median will give the most meaningful info about this data set
Answer:
-0.3, -0.12, -0.03, 0.15
Step-by-step explanation:
-0.3 is the least because 0.3 = 0.30 and 0.30 is greater than 0.12, -0.12 is the second one because it is 0.12 behind 0 and is greater than -0.03. 0.15 is the last one because it is the only positive number therefore is the greatest one.
really hope this helps and isn't confusing but I'm pretty sure this is correct!
Answer:
Vertex = (12,64)
The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
X-intercepts: 4 and 20
The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
Step-by-step explanation:
To find the vertex we can use the formula for the x-coordinate of the vertex:
x_v = -b/2a
Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)
So we have that:
x_v = -24 / (-2) = 12
The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:
f(x) = -12^2 + 24*12 - 80 = 64
So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.
To find the x-intercepts, we need to make f(x) = 0 and find the values of x:
-x2 + 24x - 80 = 0
Delta = 24^2 - 80*4 = 256
sqrt(Delta) = 16
x1 = (-24 + 16)/(-2) = 4
x2 = (-24 - 16)/(-2) = 20
The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.
The answer is to the question is 1/32