Answer 1: minimum required flow rate of fresh air is 0.57 m^3/ses
Explanation: since the minimum requirement per person is 30 L/sec
Converting to m^3 it becomes
30/1000 = 0.03 m^3/sec
For 19 heavy smoker we will require
19 * 0.03 = 0.57m^3/sec
Answer 2: diameter of the duct will be 0.3m
Explanation: since flow rate is
Q =0.57m^3/sec
Also
Q = AV (continuity equation)
Where A is the duct area and V is the velocity of air flow in m/sec
0.57m^3/sec = A * 8m/sec
A = 0.57/8 = 0.071m^2
Area of the duct is that of a circle
A = 3.142 *(d^2 ÷4)
d^2 = (0.017 * 4)/3.142 = 0.09
d is square root of 0.09
d = 0.3m
Answer:
y = 0.834X - 1.58015
Slope = 0.8340 ; Intercept = - 1.5802
y = 40.9539
19.93
0.9765
Explanation:
X: Rainfall volume
6
12
14
16
23
30
40
52
55
67
72
81
96
112
127
Y : Runoff
4
10
13
14
15
25
27
48
38
46
53
72
82
99
100
The scatterplot shows a reasonable linear trend between the Rainfall volume and run off.
The estimated regression equation obtained using a linear regression calculator is :
y = 0.834X - 1.58015
y = Runoff ; x = Rainfall volume
Slope = 0.8340 ; Intercept = - 1.5802
Point estimate for Runoff, when, x = 51
y = 0.834X - 1.58015
y = 0.834(51) - 1.58015
y = 40.95385
y = 40.9539
d.)
Point estimate for standard deviation :
s = 5.145
σ = s * √n
σ = √15 * 5.145
= 19.93
e.)
r² = Coefficient of determination gives the proportion of explained variance in Runoff due to the regression line. From the model output, the r² value = 0.9765. Which means That about 97.65% Runoff is due to Rainfall volume.
Water can freeze in cold weather and cause brake failure.
Answer: a)True
Explanation: Takt time is defined as the average time difference between the production of the two consecutive unit of goods by the manufacturer and this rate is matched with the demand of the customer. This is the time which is calculated to find the acceptable time for which the goods unit must be produced by the factory to meet the needs of the customer. Therefore , the statement is true that takt time is the rate at which a factory must produce to satisfy the customer's demand.
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