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ziro4ka [17]
2 years ago
10

How to do this equation y=2x-10 and 2y=x-8

Mathematics
1 answer:
Lana71 [14]2 years ago
8 0

Answer:

y=2x-10

2y=x-8

since the second equation equals 2y and the first is y that means the first equation times 2 equals the other one

4x-20=x-8

-x

3x-20=-8

+20

3x=12

x=4

then lets just plug it in

2y=4-8

simplefy

2y=-4

y=-2

(4,-2)

Hope This Helps!!!

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In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
3 years ago
6 cm<br> 18 cm<br> 35 cm<br> 26 cm<br> Calculate the volume of the solid
qwelly [4]

Answer:

3456

Step-by-step explanation:

times 36cm*16cm*6cm

8 0
3 years ago
Prove 2/sqrt3cosx+sinx=sec(pi/6-x)
dlinn [17]

Thus L.H.S = R.H.S that is 2/√3cosx + sinx  = sec(Π/6-x) is proved

We have to prove that

2/√3cosx + sinx  = sec(Π/6-x)

To prove this we will solve the right-hand side of the equation which is

R.H.S = sec(Π/6-x)

          = 1/cos(Π/6-x)

[As secƟ = 1/cosƟ)

           = 1/[cos Π/6cosx + sin Π/6sinx]

[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]

           = 1/[√3/2cosx + 1/2sinx]

            = 1/(√3cosx + sinx]/2

            = 2/√3cosx + sinx

    R.H.S = L.H.S

Hence 2/√3cosx + sinx  = sec(Π/6-x) is proved

Learn more about trigonometry here : brainly.com/question/7331447

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5 0
2 years ago
Let f(x) = -5x-1 and g(x)=x2 + 5.<br> = X<br> Find (f o g)(-2).
Anastasy [175]

Answer:

- 46

Step-by-step explanation:

evaluate g(- 2) then substitute the result into f(x) , that is

g(- 2) = (- 2)² + 5 = 4 + 5 = 9 , then

f(9) = - 5(9) - 1 = - 45 - 1 = - 46

3 0
3 years ago
What is the difference between -5 and 3?
kozerog [31]

Answer:

8

Step-by-step explanation:

3 - -5 = 8

filling space here dont mind this

4 0
2 years ago
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