Answer:
<h2>The range: {-6, -10, -14, -18}</h2>
Step-by-step explanation:
Put the values of x from the domain to the equation of a function y = 4x - 2:
for x = -1
y = 4(-1) - 2 = -4 - 2 = -6
for x = -2
y = 4(-2) - 2 = -8 - 2 = -10
for x = -3
y = 4(-3) - 2 = -12 - 2 = -14
for x = -4
y = 4(-4) - 2 = -16 - 2 = -18
Answer: The answer would be 3 & 1
Answer:
The margin of error will be "0.65". A further explanation is provided below.
Step-by-step explanation:
The given values are:
n = 343
x = 110
At 99% confidence level,
%
![=1-0.99](https://tex.z-dn.net/?f=%3D1-0.99)
![=0.01](https://tex.z-dn.net/?f=%3D0.01)
then,
![\frac{\alpha}{2} =\frac{0.01}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Calpha%7D%7B2%7D%20%3D%5Cfrac%7B0.01%7D%7B2%7D)
![=0.005](https://tex.z-dn.net/?f=%3D0.005)
or,
![Z_{\frac{\alpha}{2} }=Z_{0.005}](https://tex.z-dn.net/?f=Z_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%3DZ_%7B0.005%7D)
![=2.576](https://tex.z-dn.net/?f=%3D2.576)
Now,
The point estimate will be:
⇒ ![\hat{P}=\frac{x}{n}](https://tex.z-dn.net/?f=%5Chat%7BP%7D%3D%5Cfrac%7Bx%7D%7Bn%7D)
⇒ ![=\frac{110}{343}](https://tex.z-dn.net/?f=%3D%5Cfrac%7B110%7D%7B343%7D)
⇒ ![=0.321](https://tex.z-dn.net/?f=%3D0.321)
or,
⇒ ![1-\hat{P}=1-0.321](https://tex.z-dn.net/?f=1-%5Chat%7BP%7D%3D1-0.321)
⇒
The margin of error will be:
⇒ ![E=Z_{\frac{\alpha}{2} }\times \sqrt (\frac{(\hat{P}\times (1 - \hat{P})) }{n} )](https://tex.z-dn.net/?f=E%3DZ_%7B%5Cfrac%7B%5Calpha%7D%7B2%7D%20%7D%5Ctimes%20%5Csqrt%20%28%5Cfrac%7B%28%5Chat%7BP%7D%5Ctimes%20%281%20-%20%5Chat%7BP%7D%29%29%20%7D%7Bn%7D%20%29)
On substituting the above values, we get
⇒ ![=2.576\times \sqrt{\frac{0.321\times 0.679}{343} }](https://tex.z-dn.net/?f=%3D2.576%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.321%5Ctimes%200.679%7D%7B343%7D%20%7D)
⇒ ![=2.576\times \sqrt{\frac{0.217959}{343} }](https://tex.z-dn.net/?f=%3D2.576%5Ctimes%20%5Csqrt%7B%5Cfrac%7B0.217959%7D%7B343%7D%20%7D)
⇒ ![=0.065](https://tex.z-dn.net/?f=%3D0.065)
hence,
⇒ ![\hat{P}-E](https://tex.z-dn.net/?f=%5Chat%7BP%7D-E%3Cp%3C%5Chat%7BP%7D%2BE)
⇒ ![0.321-0.065](https://tex.z-dn.net/?f=0.321-0.065%3Cp%3C0.321%2B0.065)
⇒ ![0.256,0.386](https://tex.z-dn.net/?f=0.256%2C0.386)
Answer:it’s the second option
Step-by-step explanation:
The answer is y=1/4x-3/4
In each separate triangle is a right angle. So subtract 90 (right angle) and the given number from 180 (total degrees of a triangle) to find the missing angle.