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mina [271]
3 years ago
7

7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted

in units of 50 ms. (Page 265 in the book may provide some help with this question.) (12 pts) a) What is the chance of success on the first attempt
Mathematics
1 answer:
Debora [2.8K]3 years ago
8 0

Answer:

P(success at first attempt) = 0.1353

Step-by-step explanation:

This question follows poisson distribution. Thus, the formula is;

P(k) = (e^(-G) × (G)k)/k!

where;

G is number of frames generated in one frame transmission time(or frame slot time)

Let's find G.

To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.

Now, in 1000 ms, the number of frames generated = 50

Thus; number of frames generated in 50 ms is;

G = (50/1000) × 50

G = 2.5

To find the chance of success on the first attempt will be given by;

P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353

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Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
Factor this expression completely ab + 4 + a + 4b
MrRa [10]
   
ab + a + 4b+4 = a(b+1) + 4(b+1) = (b +1)(a + 4)



5 0
3 years ago
PLEASE HELP!!! 30 POINTS AND I NEED IT URGENTLY! FAKE ANSWERS REPORTED
REY [17]

Answer:

I think d.<VUS=~<RST.IT SAYS if two triangle are conqruent the respective side will be equal.

7 0
3 years ago
Air has a density of 0.001226 g/mL. What volume of air would have a mass of 1.0 lb? A. 2.7 mL B. 815.6 mL C. 37 mL D. 3.7 × 102
Andre45 [30]

Answer:

Volume = 3.7\ * 10^2\ L

Step-by-step explanation:

Given

Density = 0.001226 g/mL

Mass = 1.0\ lb

Required

Determine the volume of air

Density is calculated using:

Density = \frac{Mass}{Volume}

Substitute values for Density and Mass

0.001226 g/mL = \frac{1.0\ lb}{Volume}

Convert lb to grams

0.001226 g/mL = \frac{1.0 * 453.592\ g}{Volume}

0.001226 g/mL = \frac{453.592\ g}{Volume}

Solve for Volume

Volume = \frac{453.592\ g}{0.001226 g/mL}

Volume = 369977.161501\ mL

Convert mL to L

Volume = 369977.161501\ L * 0.001

Volume = 369.977161501\ L

Represent using scientific notation

Volume = 3.69977161501\ * 10^2\ L

Approximate

Volume = 3.7\ * 10^2\ L

8 0
3 years ago
Which model represents the factors of x2 + 9x + 8?
Rama09 [41]

Answer:

(x+8)(x+1)

Step-by-step explanation:

i am sorry but i didn't understand after the equation.

but i think i got what you trying to ask so this is

i got (x+8)(x+1)

7 0
3 years ago
Read 2 more answers
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