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emmasim [6.3K]
3 years ago
9

How do I solve the problem

Mathematics
1 answer:
Grace [21]3 years ago
6 0
Solution 1: 5x + 2y = 3  

Solution 2: 3x - 2y = 5

Graphic Organizer: 2(y) + 5(x) = 3
-2(y) + 3(x) = 5

The value of 'x' in solution 2

3(x) = 2(y) + 5
x = 2(y)÷ 3 + 5÷3

The value of 'y' in solution 1

5(2(y))÷3+5÷3 + 2(y) = 3  
16(y)÷3 = -16÷3  
16(y) = -16

y-intercept ➡ -1

x-intercept in both of The solutions!
(2÷ 3)(-1)+5÷ 3 = 1 

x-intercept : 1
y-intercept : -1

Your answer would have to be

(1, -1)
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7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted
Debora [2.8K]

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

8 0
3 years ago
Given a circle with measures of (C, d, and r) and a circle with measures of (C', d', and r'), what is r if C C' = 5 and d' = 20?
PtichkaEL [24]

Answer:

The value of radius r  is 50

Step-by-step explanation:

Given as :

The measure of two circles as

Circumference = c                          Circumference = c'                          

Diameter = d                                    Diameter = d'    

Radius = r                                          Radius = r'

And

\frac{c}{c'} = 5

d' = 20

∴  circumference of circle = 2\times \Pi \times r  = \Pi \times d

Or, \frac{c}{c'} = \frac{2\pi r }{\pi d'}

Or,  5 = \frac{2r}{d'}

Or,  5 =  \frac{2r}{20}

∴  2 × r = 5 × 20

I.e       r = 50

Hence The value of radius r  is 50  Answer

7 0
4 years ago
Read 2 more answers
The shorter leg of a 30°-60°-90° right triangle measures 5 in. What is the length of the longer leg?
DedPeter [7]
The relationship of the angles to the sides opposite those angles is always:

30°=1, 60°=√3, and 90°=2

So the longer leg can be found using the ratios from above...

L/S=√3/1 and we are told that the shorter side is 5 in so

L/5=√3

L=5√3

So A. is the correct answer.


3 0
3 years ago
On a number​ line, suppose point E has a coordinate of −2​, and EG=7. What are the possible coordinates of point​ G? The possibl
laila [671]

Answer:

-9 ; 5

Step-by-step explanation:

Given that:

Coordinate of Point E = - 2

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Possible coordinate of G

On the number line, G may be located on either side of E

If G is to the left of E; the coordinate if G is expressed as : (E - EG) = (-2 - 7) = - 9

If G is to the right of E; the coordinate if G is expressed as : (E + EG) = (-2 + 7) = 5

Hence, the possible coordinates of G are :

-9 and 5

6 0
3 years ago
John Brown has a $50,000 loan. He has a 9% annual interest rate. He paid $2,000 in fees and $4,486.05 in total interest the firs
NARA [144]
(2,000+4,486.05)÷50,000)×100=13%
5 0
4 years ago
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