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sasho [114]
3 years ago
5

1/2 x 2 1/2 as a fraction in simplest form plz help fast

Mathematics
1 answer:
Naily [24]3 years ago
7 0
5/4. first, convert the mixed fraction into an improper fraction to get 5/2. multiply the 5/2 to the 1/2. multiplying the numerators gets you 5. the denominators being multiplied gets you 4. 5 is the new numerator, 4 is the new denominator. 5/4 is in simplest form
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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;

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<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.

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For 150 hours = x = 0.3 * 150 = 45

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b)

The probability the next call arrives after 2 hours.

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c)

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

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

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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

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Step-by-step explanation:

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Equivalent equation in standard form
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Step-by-step explanation:

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