Answer:
The statement that "the margin of error was given as 
percentage points" means that the population proportion is estimated to be with a certain level of confidence, within the interval 
; where ![\hat{p}[tex] is the sample's proportion. The correct answer is C. The statement indicates that the interval [tex]0.14\pm0.05](https://tex.z-dn.net/?f=%5Chat%7Bp%7D%5Btex%5D%20is%20the%20sample%27s%20proportion.%3C%2Fp%3E%3Cp%3E%20%3C%2Fp%3E%3Cp%3EThe%20correct%20answer%20is%20C.%20The%20statement%20indicates%20that%20the%20interval%20%5Btex%5D0.14%5Cpm0.05)
is likely to contain the true population percentage of people that prefer chocolate pie.
Step-by-step explanation:
The margin of error for proportions is given by the following formula:
Where:
is the critical value that corresponds to the confidence level; the confidence level being 
,
is the sample's proportion of successes,
is the size of the sample.
In this exercise we have that 
and that the margin of error is 0.05.
Therefore if we replace in the formula to calculate the confidence interval we get:
Which means that the true population proportion is estimated to be, with a certain confidence level, within the interval (0.09, 0.19).
Answer:
AGE=150
Step-by-step explanation:
FHD and GHC are supplementary, so:
180-30=150
CHG is corresponding to AGE, so AGE=150
Answer:
(f+g)(x)=f(x)+g(x)
=(-3x-5)+(4x-2)
= -3x-5+4x-2. collect like term
= -3x+4x-5-2
= x-7. the final answer
Answer: The required equation for points P is 
Step-by-step explanation: We are give two points A(0, 1, 2) and B(6, 4, 2).
To find the equation for points P such that the distance of P from both A and B are equal.
We know that the distance between two points R(a, b, c) and S(d, e, f) is given by
Let the point P be represented by (x, y, z).
According to the given information, we have
![PA=PB\\\\\Rightarrow \sqrt{(x-0)^2+(y-1)^2+(z-2)^2}=\sqrt{(x-6)^2+(y-4)^2+(z-2)^2}\\\\\Rightarrow x^2+y^2-2y+1+z^2-4z+4=x^2-12x+36+y^2-8y+16+z^2-4z+4~~~~~~~[\textup{Squaring both sides}]\\\\\Rightarrow -2y+1=-12x-8y+52\\\\\Rightarrow 12x+6y=51\\\\\Rightarrow 4x+2y=17.](https://tex.z-dn.net/?f=PA%3DPB%5C%5C%5C%5C%5CRightarrow%20%5Csqrt%7B%28x-0%29%5E2%2B%28y-1%29%5E2%2B%28z-2%29%5E2%7D%3D%5Csqrt%7B%28x-6%29%5E2%2B%28y-4%29%5E2%2B%28z-2%29%5E2%7D%5C%5C%5C%5C%5CRightarrow%20x%5E2%2By%5E2-2y%2B1%2Bz%5E2-4z%2B4%3Dx%5E2-12x%2B36%2By%5E2-8y%2B16%2Bz%5E2-4z%2B4~~~~~~~%5B%5Ctextup%7BSquaring%20both%20sides%7D%5D%5C%5C%5C%5C%5CRightarrow%20-2y%2B1%3D-12x-8y%2B52%5C%5C%5C%5C%5CRightarrow%2012x%2B6y%3D51%5C%5C%5C%5C%5CRightarrow%204x%2B2y%3D17.)
Thus, the required equation for points P is
The answer would be 3:33333
