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,
Let's substitute the values into the formula.
For 50 calls in 150 hours
For 150 hours = x = 0.3 * 150 = 45
b)
The probability the next call arrives after 2 hours.
c)
The number of calls recieved each day is recorded for 50 consecutive days.
for 50 days;
The mean = 360
The standard deviation is given as
The probability the sum of these 50 number is less than 356 is
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Answer:
3456
Step-by-step explanation:
times 36cm*16cm*6cm
Thus L.H.S = R.H.S that is 2/√3cosx + sinx = sec(Π/6-x) is proved
We have to prove that
2/√3cosx + sinx = sec(Π/6-x)
To prove this we will solve the right-hand side of the equation which is
R.H.S = sec(Π/6-x)
= 1/cos(Π/6-x)
[As secƟ = 1/cosƟ)
= 1/[cos Π/6cosx + sin Π/6sinx]
[As cos (X-Y) = cosXcosY + sinXsinY , which is a trigonometry identity where X = Π/6 and Y = x]
= 1/[√3/2cosx + 1/2sinx]
= 1/(√3cosx + sinx]/2
= 2/√3cosx + sinx
R.H.S = L.H.S
Hence 2/√3cosx + sinx = sec(Π/6-x) is proved
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Answer:
- 46
Step-by-step explanation:
evaluate g(- 2) then substitute the result into f(x) , that is
g(- 2) = (- 2)² + 5 = 4 + 5 = 9 , then
f(9) = - 5(9) - 1 = - 45 - 1 = - 46
Answer:
8
Step-by-step explanation:
3 - -5 = 8
filling space here dont mind this
