Answer:
(a) Margin of error ( E) = $2,000 , n = 54
(b) Margin of error ( E) = $1,000 , n = 216
(c) Margin of error ( E) = $500 , n= 864
Step-by-step explanation:
Given -
Standard deviation
= $7,500
= 1 - confidence interval = 1 - .95 = .05
=
= 1.96
let sample size is n
(a) Margin of error ( E) = $2,000
Margin of error ( E) = 
E = 
Squaring both side


n = 54.0225
n = 54 ( approximately)
(b) Margin of error ( E) = $1,000
E = 
1000 = 
Squaring both side


n = 216
(c) Margin of error ( E) = $500
E = 
500 = 
Squaring both side


n = 864
Answer:Use the slope −2 and the point (−4,−5) to find the y-intercept.
y=mx+b
⇒−5=(−2×−4)+b
⇒−5=8+b
⇒b=−13
Write the equation in slope intercept form as:
y=mx+b
⇒y=(−2)x−13
Hence, the equation of the line is y=−2x−13.
Step-by-step explanation:
Please make me brainliest :)
Answer:
Slope = 
Step-by-step explanation:
(5 , -2) ; (-3, 4)
![Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\](https://tex.z-dn.net/?f=Slope%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B4-%5B-2%5D%7D%7B-3-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B4%2B2%7D%7B-3-5%7D%5C%5C%5C%5C%3D%5Cfrac%7B6%7D%7B-8%7D%5C%5C%5C%5C%3D%5Cfrac%7B-3%7D%7B4%7D%5C%5C%5C%5C)
Answer:
the surface area should be 544 (whatever the unit is)
Step-by-step explanation:
You start by taking the rectangles on the side and finding their area.
1. (10×14)×2 ←Because there are two rectanglular sides.
2. find the area of the triangles on the side. 1/2bh = area of triangle.
(.5×8×6)×4 ← in order to find the area for all of the triangles.
3. lastly take the base of the prism and find the area then add the previously found values together.
(12×14)+(.5×8×6)×4+ (10×14)×2 = 544