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zysi [14]
3 years ago
13

Chandra wishes to reduce has mass by 6% in a month's time if his mass is 80 kg now what should his mass in a month's time Be?​

Mathematics
1 answer:
Arturiano [62]3 years ago
7 0

Answer:

75.2 kg

Step-by-step explanation:

His mass now is 80 kg which is 100% of his mass since 100% is the entire amount. He wishes to reduce his mass by 6%.

100% - 6% = 94%

After reducing his mass by 6%, his mass will become 94% of his original mass, 80 kg.

We need to find 94% of 80 kg.

94% of 80 kg = 94% × 80 kg = 0.94 × 80 kg = 75.2 kg

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Complete the square to transform the quadratic equation into the equation form (x – p)2 = q. x2 + 14x + 34 = 5
Bezzdna [24]
<h3>Answer:</h3>

B) (x + 7)^2 = 20

<h3>Step-by-step explanation:</h3>

You can subtract 34 from the original equation to get

... x^2 +14x = -29

Now, you can add the square of half the x-coefficient, and you will have ...

... x^2 +14x +49 = -29 +49

... (x +7)^2 = 20 . . . . . . matches selection B

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<em>Comment on answer choice A</em>

The question asks for the form (x -p)^2 = q, but that does not mean that p must be positive. Here, p=-7 and q=20.

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A university cafeteria line in the student center is a
nirvana33 [79]

Answer:

Lamda= 4 students/min, µ= 5 students/min  

P= Lamda/µ= 4/5= 0.8

a.) Probability that system is empty= P0= 1-P= 1-0.8= 0.2

b.) Probability of more than 2 students in the system= ∑(n=3 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2)= (.2)*(5-  - .2 - (.8)*.2 – (.2)*.8^2))= 0.848

Probability of more than 3 students in the system= ∑(n=4 to inf) P^n*P0= (1-P)*(1/(1-P) – (1-P) –(1-P)*P –(1-P)*P^2 – (1-P)*P^3)= 0.768

c.) W(q)= Waiting time in Queue= lamda/µ(µ- lamda)= 4/5(1)= 0.8 minutes

d.) L(q)= lamda*W(q)= 4*.8= 3.2 students

e.) L(System)= lamda/(µ-lamda)= 4 students.

f.) If another server with same efficiency as the 1st one is added, then µ= 6 sec/student= 10 students/min.

P= 4/10= 0.4

Probability that system is empty= P0= 1-.4= 0.6

W(q)= 4/10(10-4)= 0.0667 minutes

L(q)= Lamda*W(q)= 4*.0667=0.2668

L(system)= Lamda/(µ-lamda)= 4/6= .667

Step-by-step explanation:

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3 years ago
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