Answer:
The sample of 15 pieces of colored fruit snacks
Step-by-step explanation:
The sample of 15 pieces of colored fruit snacks. The 60 pieces are from ONE day which means it can be heavily biased. It might be like "BLUE RASPBERRY SPECIAL DAY!" or "PRESIDENTS DAY!! RED BLUE AND WHITE!!". However, 15 pieces, whilst having less of a population, is probably more spaced out.
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
We want to convert this equation in terms of m, where 
While solving this problem, I instantly noticed the 
in the first term of the equation. Replace that with m.
Simplifying the rest is not as obvious. Using the distributive property, we can change ![[7x^2+21]](https://tex.z-dn.net/?f=%5B7x%5E2%2B21%5D)
to ![[7(x^2+3)]](https://tex.z-dn.net/?f=%5B7%28x%5E2%2B3%29%5D)
Do you see the "m" in here? Look again if you don't.
Now we can simplify the equation to 
and this cannot be simplified further.
I'm always happy to help someone who appreciates the help! :D
