Answer:
The question isn't completely clear, but I believe that the answer would be 7m. That is the correct format.
5-(n-4)=3(n+2)
5-n+4=3n+6
9-n=3n+6
3=4n
n=3/4
Answer:
Distance of ladder top from ground = 9.2 meter (Approx.)
Step-by-step explanation:
Given:
Angle of elevation between ground and ladder = 43°
Length of ladder = 13.5 meter
Find:
Distance of ladder top from ground
Computation:
Length of ladder = Hypotenuse
Distance of ladder top from ground = Perpendicular
Sinθ = Perpendicular / Hypotenuse
Sin 43 = Distance of ladder top from ground / Length of ladder
0.6819 = Distance of ladder top from ground / 13.5
Distance of ladder top from ground = 9.20565
Distance of ladder top from ground = 9.2 meter (Approx.)
Step-by-step explanation:
16 data points.
the mean value is the sum of all data points divided by the number of data points :
13896/16 = 868.5
the median is the data point with half of the other data points being smaller and the other half being bigger.
as we have an even number of data points, we need to apply the extra rule :
the median is the mean value between the 2 middle points (where one half of the other data points is smaller than these 2, and the other half is bigger than these 2).
in our case we have 138 and 240.
the mean value between these 2 and therefore the median of the list is
(138 + 240)/2 = 378/2 = 189
The estimate of the total sales is $3,055,510.08.
First I created a scatter plot of the data given for yellow golf balls and calculated the linear regression for it. Screenshots are attached.
The regression equation (equation for the line of best fit) was
y = 16488x + 189312, where x represents the year number and y is the total yellow golf balls.
We are concerned with year 4, so we will substitute 4 for x:
y = 16488(4) + 189312 = 255,264
There will be around 255,264 yellow golf balls sold in year 4.
Since the ratio of yellow to white golf balls is 1:5, we can set up a proportion:
1/5 = 255264/x
Cross multiply:
1*x = 5*255264
x = 1,276,320
We expect the company to sell 1,276,320 white golf balls. This makes a total of:
1,276,320 + 255,264 = 1,531,584 total golf balls expected to be sold in year 4.
Since these are sold in boxes of 12, we divide this by 12:
1,531,584/12 = 127,632 boxes expected to be sold
Each box is 23.94:
127632*23.94 = 3,055,510.08
