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Cloud [144]
2 years ago
11

The sum of the digits of a two-digits numeral is 10. The number named by the numeral is 18 more than the number named when the d

igits are revered. What is the original number?
Mathematics
1 answer:
kupik [55]2 years ago
3 0

Answer:

46

Step-by-step explanation:

4+6 = 10

64-46 = 18

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The formula of the midpoint of HE:
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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

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2 years ago
A friend tells you that her savings account doubled in 9 years. Use the Rule of 72 to estimate what the APR of her account was.
Shkiper50 [21]

answer:The rule of 72 says that an amount will double when the product of the percentage and the number of years equals 72...so for 8 years, you would need to earn 9%

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What is the number?<br><br> 10​% more than a number is 1​32.
Elena-2011 [213]

Step-by-step explanation:

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The number is 120.

6 0
3 years ago
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