Definitions given.
1 answer:
The pitch of the roof is given by the ratio of the rise to the run of the roof, which is the slope of the rafter
Please find attached the simple <u>diagram of the house</u> with all measurements labeled
The reason the above value for the pitch and the diagram are correct are as follows:
The given parameters are;
Width of the section of the house on which the gable of the roof is to be placed = 50 feet
Length of the over hang on the sides of the roof = 1 foot each
Total span of the roof = 52 feet
Horizontal length of each rafter, the run = 26 feet
The height of the ridge above the top of the frame, the rise = 12 feet
Required:
- To find the pitch of the roof
- To draw a diagram of the house showing measurements
Solution:
Please find attached the <u>diagram</u> of the house showing the measurements for the roof parameters and the section of the house where the gable roof is to be placed
Learn more about finding the slope of a line here:
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Answer:
a) Var[z] = 1600
D[z] = 40
b) Var[z] = 2304
D[z] = 48
c) Var[z] = 80
D[z] = 8.94
d) Var[z] = 80
D[z] = 8.94
e) Var[z] = 320
D[z] = 17.88
Step-by-step explanation:
In general
V([x+y] = V[x] + V[y] +2Cov[xy]
how in this problem Cov[XY] = 0, then
V[x+y] = V[x] + V[y]
Also we must use this properti of the variance
V[ax+b] = V[x]
and remember that
standard desviation =
a) z = 35-10x
Var[z] = Var[x] = 100*16 = 1600
D[z] = = 40
b) z = 12x -5
Var[z] = Var[x] = 144*16 = 2304
D[z] = = 48
c) z = x + y
Var[z] = Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] = = 8.94
d) z = x - y
Var[z] = Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80
D[z] = = 8.94
e) z = -2x + 2y
Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320
D[z] = = 17.88