Answer:
![\hat p=0.645\\\\ME=0.233\\\\x=645 \ individuals](https://tex.z-dn.net/?f=%5Chat%20p%3D0.645%5C%5C%5C%5CME%3D0.233%5C%5C%5C%5Cx%3D645%20%5C%20individuals)
Step-by-step explanation:
-Given the boundaries as 0.412 and 0.878
-
is the point estimate for the population proportion and is calculated as follows:
![\hat p=\frac{Upper \ Bound+Lower \ Bound}{2}\\\\=\frac{0.878+0.412}{2}\\\\=0.645\\\\](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7BUpper%20%5C%20Bound%2BLower%20%5C%20Bound%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B0.878%2B0.412%7D%7B2%7D%5C%5C%5C%5C%3D0.645%5C%5C%5C%5C)
#The margin of error, ME can be calculated for the confidence intervals using the formula:
![ME=\frac{Upper \ Bound-Lower \ Bound}{2}\\\\=\frac{0.878-0.412}{2}\\\\=0.233](https://tex.z-dn.net/?f=ME%3D%5Cfrac%7BUpper%20%5C%20Bound-Lower%20%5C%20Bound%7D%7B2%7D%5C%5C%5C%5C%3D%5Cfrac%7B0.878-0.412%7D%7B2%7D%5C%5C%5C%5C%3D0.233)
#The number of individuals in the sample is the product of the point estimate and population size:
![\hat p=\frac{x}{n}\\\\x=\hat pn\\\\=0.645\times 1000\\\\=645](https://tex.z-dn.net/?f=%5Chat%20p%3D%5Cfrac%7Bx%7D%7Bn%7D%5C%5C%5C%5Cx%3D%5Chat%20pn%5C%5C%5C%5C%3D0.645%5Ctimes%201000%5C%5C%5C%5C%3D645)
Hence, there are 645 individuals in the sample.
Answer:
(0.5,0)
Step-by-step explanation:
Input the equation into a graphing calculator
5-3x-20=24
-3x-15=24
-3x=39
x=-13
Answer:
x = -5
Step-by-step explanation:
Given that it is a vertical line, we know that it will only go through one x-value.
We are also given a point, (-5, -3).
This point tells us that the vertical line only goes through the x-value -5, so the equation will be x = -5.
Answer:
V ≈ 94.25
Step-by-step explanation:
Using the formula
you can plug in your information. It will turn out to be
. Then you solve