Answer:
6/35
Step-by-step explanation:
I just used my calculator...
Answer:
to
Step-by-step explanation:
Given :The owner of a restaurant is reviewing customer complaints. In a random sample of 227 complaints, 57 complaints were about the slow speed of the service.
To Find :Create a 95% confidence interval for the proportion of complaints that were about the slow speed of the service.
Solution:
n = 227
x = 57
Formula of confidence for proportion:
to
![\widecap{p}=\frac{x}{n}](https://tex.z-dn.net/?f=%5Cwidecap%7Bp%7D%3D%5Cfrac%7Bx%7D%7Bn%7D)
![\widecap{p}=\frac{57}{227}](https://tex.z-dn.net/?f=%5Cwidecap%7Bp%7D%3D%5Cfrac%7B57%7D%7B227%7D)
![\widecap{p}=0.25](https://tex.z-dn.net/?f=%5Cwidecap%7Bp%7D%3D0.25)
![\widecap{q}=1-\widecap{p}](https://tex.z-dn.net/?f=%5Cwidecap%7Bq%7D%3D1-%5Cwidecap%7Bp%7D)
![\widecap{q}=1-0.25](https://tex.z-dn.net/?f=%5Cwidecap%7Bq%7D%3D1-0.25)
![\widecap{q}=0.75](https://tex.z-dn.net/?f=%5Cwidecap%7Bq%7D%3D0.75)
z at 95% is 1.96
Substitute the values in the formula :
Confidence for proportion:
to
Confidence for proportion:
to
Hence 95% confidence interval for the proportion of complaints that were about the slow speed of the service is
to
Answer:
She drove 72 miles on tuesday,
Over 3 days she drove = 50+72+38 = 160 miles
Now,
ratio = 72 : 160
= 36/80
= 9/20
= 9:20
A) 9:20
Answer (<u>assuming it can be written in slope-intercept form)</u>:
![y = \frac{7}{9} x+\frac{17}{9}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B7%7D%7B9%7D%20x%2B%5Cfrac%7B17%7D%7B9%7D)
Step-by-step explanation:
1) First, find the slope of the line. Use the slope formula,
. Substitute the x and y values of the given points into the formula and solve:
So, the slope is
.
2) Now, use the point-slope formula
to write the equation of the line. Substitute
,
, and
for real values.
Since
represents the slope, substitute
for it. Since
and
represent the x and y values of one point the line intersects, choose from any one of the given points (it doesn't matter which one, either way the result equals the same thing) and substitute its x and y values into the formula as well. (I chose (4,5), as seen below.) From there, isolate y to place the equation in slope-intercept form (
format) and find the following answer: