Answer:
203 rpm
Step-by-step explanation:
The speed of the larger gear can be calculated using the following equation:
<u>Where</u>:
ω: is the angular velocity of the motor = 700 rpm
R: is the gear ratio
The gear ratio is the following:
<u>Where:</u>
n(a): is the number of teeth on the small gear = 12 teeth
n(b): is the number of teeth on the larger gear = 42 teeth
The gear ratio is:
Now, the speed of the larger gear is:
Therefore, the speed of the larger gear is 203 rpm.
I hope it helps you!
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Answer:
x = (ab +a +b +c)/(a +b)
Step-by-step explanation:
Eliminate parentheses, subtract left terms not containing x, divide by the coefficient of x.
Answer:
The shape and rate parameters are 
and 
.
Step-by-step explanation:
Let <em>X</em> = service time for each individual.
The average service time is, <em>β</em> = 12 minutes.
The random variable follows an Exponential distribution with parameter, 
.
The service time for the next 3 customers is,
<em>Z</em> = <em>X</em>₁ + <em>X</em>₂ + <em>X</em>₃
All the <em>X</em>
's are independent Exponential random variable.
The sum of independent Exponential random variables is known as a Gamma or Erlang random variable.
The random variable <em>Z</em> follows a Gamma distribution with parameters (<em>α</em>, <em>n</em>).
The parameters are:
Thus, the shape and rate parameters are and .
Answer:
y = mx + b
Step-by-step explanation:
1. m is the slope (lesson on slope ) mnemonic : 'm' means 'move'
2. b is the y -intercept ( lesson on the y-intercept ) mnemonic : 'b' means where the line begins.
