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Sonja [21]
2 years ago
10

John manages 27 apple orchards in North Georgia. He wants to split the orchards into thirds so that he can open 3 local stores.

Mathematics
1 answer:
solmaris [256]2 years ago
3 0

Answer: 27 x 1/3

Step-by-step explanation: 27/1 x 1/3 = 9 orchards per store

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attashe74 [19]

Answer:

x=8

Step-by-step explanation:

4 ^(1/2x) = 256

Rewriting 256 as a power of 4

4 ^(1/2x) = 4^4

Since the bases are the same, the exponents are the same

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x=8

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2 years ago
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Answer:

31.9 mi

Step-by-step explanation:

AC/sin(angleABC) = AB/sin(angleACB)

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A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC b
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The correct answer is A.  All triangles' interior angles equal 180.
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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

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2 years ago
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