Answer:
Researchers are performing a study of what type of ice cream shoppers want. They're looking at the tenth person who goes to the shop, and every fifth person after that. This type of sampling is referred to as a random sampling.
Answer:
(E) 72 w^2 is the answer
Step-by-step explanation:
outer square area is 81 w^2
inner square area is 9 w^2
subtracting outer - inner we can get the shaded area
so 81 -9= 72w^2
Answer:
The standard deviation is 5.29 kg.
Step-by-step explanation:
The standard deviation is the square root of the variance. Mathematically, we have that:
In this problem, we have that:
So
The standard deviation is 5.29 kg.
Answer:
C. 8a - 36
Step-by-step explanation:
a + 3a - 4(9-a)
a + 3a - 36 + 4a
8a - 36
Answer:
Around 5.5 square meters
Step-by-step explanation:
You can start by finding the area of the segment. Since the rest of the circle that is not in the segment is 240 degrees, the segment is 120 degrees or a third of the circle. You can therefore find the area of that segment with the formula 
square meters. Now, you need to find the area of the triangle inside the sector. This is more difficult than last time, because it is not a 90 degree angle. However, you can solve this by dividing this triangle into two 30-60-90 triangles, which you know how to find the ratio of sides for. In a 30-60-90 triangle, the hypotenuse is twice the length of the smallest leg, and the larger leg is 
times larger than the smaller leg. In this case, these dimensions are a base of 
for the smaller leg and 
for the larger leg, or the base. Using the triangle area formula and multiplying by 2 (because remember, we divided the big triangle in half), you get 
square meters. Subtracting this from the area of the segment, you get about 5.5 square meters. Hope this helps!
