Answer:
The weight should be added to the base of the sign to keep it from tipping is 65.6 lb
Explanation:
Given data:
A sigh weighs 40 pounds
Suported by an 18 in x 18 in square
Force of the wind 13.2 lb
Questions: Will the sign tip over, if yes, how much evelnly distributed weight should be added to the base of the sign to keep it from tipping, W = ?
The sign and the post have a length of 6 ft. You need to calculate the distance from the edge to the middle point:
18/2 = 9 in = 0.75 ft
Force acting in the base (40 lb):

The weight should be added to the base:

Answer:
F(x) = 0 ; x < 0
0.064 ; 0 ≤ x < 1
0.352 ; 1 ≤ x < 2
0.784 ; 2 ≤ x < 3
1 ; x ≥ 3
Explanation:
Each wafer is classified as pass or fail.
The wafers are independent.
Then, we can modelate X : ''Number of wafers that pass the test'' as a Binomial random variable.
X ~ Bi(n,p)
Where n = 3 and p = 0.6 is the success probability
The probatility function is given by :

Where
is the combinatorial number

Let's calculate f(x) :




For the cumulative distribution function that we are looking for :



The cumulative distribution function for X is :
F(x) = 0 ; x < 0
0.064 ; 0 ≤ x < 1
0.352 ; 1 ≤ x < 2
0.784 ; 2 ≤ x < 3
1 ; x ≥ 3
Answer:
Part A:
In W-h:
Energy Stored=1440 W-h
In Joules:

Part B:
In W-h:
Energy left=240 W-h
In Joules:
Energy left= 8.64*10^5 J
Explanation:
Part A:
We are given rating 120A-h and voltage 12 V
Energy Stored= Rating*Voltage (Gives us units W-h)
Energy Stored=120A-h*12V
Energy Stored=1440 W-h
Converting it into joules (watt=joules/sec)
Energy Stored=
Energy Stored=5184000 Joules

Part B:
Energy used by lights for 8h=150*8
Energy used by lights for 8h=1200W-h
Energy left= Energy Stored(Calculated above)- Energy used by lights for 8h
Energy left=1440-1200
Energy left=240 W-h
Energy left=
Energy left=864000 Joules
Energy left= 8.64*10^5 J
Answer:
474.59 mg/L
Explanation:
Given that
BOD = 30 mg/L
Original BOD = 30 mg/L × dilution factor
Original BOD = 30 mg/L × 10 = 300 mg/L

here
is the ultimate BOD ; BOD is the biochemical oxygen demand ; t = 0.20 /day

Answer:
Airbags will deploy in almost any angle.
Explanation:
Cars have sensors around them, so when the car gets hit, the sensors detect a crash and deploy the airbags to keep you safe.