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PIT_PIT [208]
3 years ago
13

How do you say |-5| < 3 ?

Mathematics
1 answer:
san4es73 [151]3 years ago
4 0

Step-by-step explanation:

|-5| < 3

5 < 3

wrong.

5 < 3 = X

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Find the sum to n terms of the series 0.6+0.66+0.666+.....................
RSB [31]
<span>We have
</span>0.6+0.66+0.666+0.6666

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6(0.1+0.11+0.111+0.1111+....

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</span>\frac{6}{9}(0.9+0.99+0.999+0.9999+....

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<span>all 1s add up to n
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8 0
3 years ago
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
2 years ago
What is 1/8 as a whole number
s344n2d4d5 [400]
.125 would be 8 as a whole number
8 0
3 years ago
What is the vertex of g(x) = 8x2 – 48x + 65? (–3, –7) (3, –7) (24, –7) (–24, –7)
monitta

B. (3, -7)

When the equation is graphed, the vertex is at the point (3,-7). I hope this helps!!!

4 0
3 years ago
10x + 4y = 16 in slope intercept form<br><br>Show your work please
SSSSS [86.1K]

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7 0
2 years ago
Read 2 more answers
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