Answer:28inches & 84inches
First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...
112=3x+x
Now lets solve for x.
112=4x
divide both sides by 4
28 inches=x
Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.
28*3=84 inches
28+84=112
Answer: I do think the answer is C
Step-by-step explanation: I agree with your choice.
Answer in fraction form is exactly 2/27
Answer in decimal form is approximately 0.07407
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Explanation:
4 people play both,9 play flat flute only, 12 play piano only.
So 4+9+12 = 13+12 = 25 people play one instrument only or they play both.
We have 27 people total meaning that 27-25 = 2 play neither instrument.
Divide the values 2 and 27 to get
2/27 = 0.07407
this value is approximate (rounded to five decimal places)
Answer:
(a) 0.01029 (b) 4.167 customers (c) 0.4167 hours or 25 minutes (d) 0.5 hours or 30 minutes
Step-by-step explanation:
With an arrival time of 6 minutes, λ=10 clients/hour.
With a service time of 5 minutes per transaction, μ=12 transactions/hour.
(a) The probability of 3 or fewer customers arriving in one hour is
P(C<=3)=P(1)+P(2)+P(3)


(b) The average number of customers waiting at any point in time (Lq) can be calculated as

(c) The average time waiting in the system (Wq) can be calculated as

(d) The average time in the system (W), waiting and service, can be calculated as

Answer:
Step-by-step explanation:
f(x)=(x-1)(x+4
roots x=1,-4,
x=0, y=-4
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