Answer:
0.10512
Step-by-step explanation:
Given the following :
Mean number of calls(μ) in 2 hours = 14
2 hours = 60 * 2 = 120 minutes
Average number of calls in 45 minutes :
= (45 / 120) * 14
= 0.375 * 14
= 5.25
Now find P( x ≤ 2) = p(x = 0) + p( x = 1) + p(x = 2)
Using the poisson probability formula:
P(x, μ) = [(e^-μ) * (μ^x)] / x!
Where :
e = euler's constant
μ = 5.25
x = 0, 1, 2
Using the online poisson probability calculator :
P(x, 5.25) = P( x ≤ 2) = p(x = 0) + p(x = 1) + p(x = 2)
P(x, 5.25) = P( x ≤ 2) = 0.00525 + 0.02755 + 0.07232 = 0.10512
Answer:
7/4 which could also be written as 1 and 3/4
Since y varies directly as x, you know that y=245 and x=7 can be used as a proportion, 245/7. When you multiply this proportion to 9, you get 315. This is the value of y when x=9.
y=315
Answer:
x = -3
y = 6
Step-by-step explanation:
3x + y = -3
x = -y + 3
3x + y = -3
3(-y + 3) + y = -3
-3y + 9 + y = -3
-3y + y + 9 = -3
-2y + 9 = -3
-2y = -3 - 9
-2y = -12
y = -12/-2
<u>y = 6</u>
x = -y + 3
x = -6 + 3
<u>x = -3</u>
