Above the 0 on the number line you would place 1 dot, above 1 you would place 1 dot, above 2 you would place 2 dots like this : above 3 you would place 2 dots, and above 4 you would place 1 dot
Answer:
Mailing preparation takes 38.29 min max time to prepare the mails.
Step-by-step explanation:
Given:
Mean:35 min
standard deviation:2 min
and 95% confidence interval.
To Find:
In normal distribution mailing preparation time taken less than.
i.eP(t<x)=?
Solution:
Here t -time and x -required time
mean time 35 min
5 % will not have true mean value . with 95 % confidence.
Question is asked as ,preparation takes less than time means what is max time that preparation will take to prepare mails.
No mail take more time than that time .
by Z-score or by confidence interval is
Z=(X-mean)/standard deviation.
Z=1.96 at 95 % confidence interval.
1.96=(X-35)/2
3.92=(x-35)
X=38.29 min
or
Confidence interval =35±Z*standard deviation
=35±1.96*2
=35±3.92
=38.29 or 31.71 min
But we require the max time i.e 38.29 min
And by observation we can also conclude the max time from options as 38.29 min.
Answer:
1. y=5 and x=-5
2. y=2 and x=-4
Step-by-step explanation:
1.y=-5x-19
y=-6x-24
since both equations are equal to y, they are also equal to eachother
-5x-19=-6x-24
addition P.O.E.
x-19=-24
addition P.O.E.
x=-5
substitute x into one equation
y=-5*-5-19
y=6
2. y=-6x-22
y=-3x-10
since both equations are equal to y, they are also equal to eachother
-6x-22=-3x-10
addition P.O.E.
-22=3x-10
addition P.O.E.
-12=3x
division P.O.E.
-4=x
substitute x into one equation
y=-3*-4-10
y=2
3x(2x5) . Both of these will answer to 30. Hoped this helped !!