Simplify to 6x - 21 < 4x - 8. Add 21 to both sides and subtract 4x from both sides. You will get 2x < 13. Divide both sides by two and you get x < 6.5
Answer:
A
Step-by-step explanation:
Because it is the most similar UwU
Answer:
We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.
Step-by-step explanation:
We have that to find our
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
![\alpha = \frac{1-0.9}{2} = 0.05](https://tex.z-dn.net/?f=%5Calpha%20%3D%20%5Cfrac%7B1-0.9%7D%7B2%7D%20%3D%200.05)
Now, we have to find z in the Ztable as such z has a pvalue of
.
So it is z with a pvalue of
, so ![z = 1.645](https://tex.z-dn.net/?f=z%20%3D%201.645)
Now, find M as such
![M = z*\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=M%20%3D%20z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
In which
is the standard deviation of the population and n is the size of the sample.
![M = 1.645*\frac{1.64}{\sqrt{1494}} = 0.07](https://tex.z-dn.net/?f=M%20%3D%201.645%2A%5Cfrac%7B1.64%7D%7B%5Csqrt%7B1494%7D%7D%20%3D%200.07)
The lower end of the interval is the sample mean subtracted by M. So it is 1.87 - 0.07 = 1.80 children
The upper end of the interval is the sample mean added to M. So it is 1.87 + 0.07 = 1.94 children.
We are 90% confident that the population mean number of children per adult is between 1.80 and 1.94.
Given:Population, P = 210,000 peopleRadius, r = 12 milesSolving for population density, D, per square mile, first solve for Area, A:A = π(R^2)A = 3.1416(12^2)A = 3.1416(144)A = 452.3893 square milesD = P/AD = 210,000/452.3893Population density, D = 464.2019 people per square mile