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Aleks04 [339]
3 years ago
12

Solve for the value of w

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Answer: 9°

Step-by-step explanation:

(3w + 7)° + 90° + (7w - 7)° = 180°

=> 3w + 7 + 90 + 7w - 7 = 180

=> 10w + 90 = 180

=> 10w = 180 - 90 = 90

=> w = 90 / 10 = 9°

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If you have built 25 cars, and they are 36 dollars per, then multiply 25 and 36 for the amount of money.  This will result with 25*36=900.  Since we already have 900 dollars worth, we subtract that from the goal of 1620, leaving us with 1620-900=720.  Now, divide this by the price per car for the amount of cars needed to get to this goal. 720/36=20 cars

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3 years ago
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a memory is a memory from a real event that was encoded, stored, but not retrieved for a long period of time; it is retrieved af
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Implicit or Doubtful memory of actual events that was stored encrypted, but was not retrieved for a long time until subsequent events suddenly brought it back to consciousness. The establishing, stabilizing like processes include in this memory.

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5 0
2 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

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Answer:

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