Answer:
Option A is right
Step-by-step explanation:
Given that approximately 52% of all recent births were boys. In a simple random sample of 100 recent births, 49 were boys and 51 were girls. The most likely explanation for the difference between the observed results and the expected results in this case is
A) variability due to sampling
-- True because there is a slight difference whichmay be due to sampling fluctuations.
B) bias
False because given that 100 random births selected
C) nonsampling error
False. There is no chance for systematic error here.
d) Confounding: There is no confounding variable present inchild birth since each is independent of the other
e) a sampling frame that is incomplete
False because the sampling is done correctly.
Answer:
216
Step-by-step explanation:
Plug in 1 to f(x). 2(1) + 4 = 6
Plug that answer in to h(x).
6^3 = 6*6*6 = 216
Answer:
D:24.83
Step-by-step explanation:
Answer:
Sector
Step-by-step explanation:
To solve the area of a shaded region of a circle, if the shaded region is like a slice of pie (from the center out), then you need to know the angle from the center of the shaded region, call the angle n˚. If we have that n˚ angle, we are working with n˚ of the 360˚ in the circle, or n˚/360˚, which simplifies to n/360 (the ˚ symbols cancel out). We then would need to find the area of the circle (πr^2) and multiply it with the fraction of the circle we are working with (n/360), so your equation for a slice of the circle would be nπr^2/360 where n is in degrees. Now, if you just want the “crust” of the pie (so, the area between to points on the arc defined by the slice), then we can find the area of the triangle defined by the origin and the 2 points on the circle. 2 of the side lengths of the triangle are the radius, and we know the measure of the angle of the slice, so we can use the law of cosines (C^2=A^2+B^2–2ABcos(c)) to figure out the base, then use the equation
Area=(s-r)sqrt(s(s-C)) where s is half the perimeter of the defined triangle (this is what we get when we plug in r for 2 of the side lengths. If you are not familiar with the method of finding the area of a triangle, I would recommend searching Heron’s formula. The proof is interesting). Finally, we subtract this area from the area of the already found full slice and you have it!
