17.54% is the probability that 5 messages are received in 1 hour.
The chance that X reflects the number of successes of a random variable in a Poisson distribution is provided by the following formula:
P(X = x) = ( × ) ÷ x!
In where x is the number of successes, e is the Euler number, and u is the mean in the specified time frame.
In this case, the average message rate is 5 messages per hour.
The probability of receiving 5 texts in one hour.
Determine the value of P for x = 5 and u = 6.
P(X = x) = ( × ) ÷ 5!
P(X = x) = 21.0560 ÷ 5!
P(X = x) = 0.1754
There is a 17.54% chance that 5 messages will be received in 1 hour.
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These equations seem tricky, but aren't as hard as you think. Just solve it like you are regularly adding fractions.
Your common denominator is 9x + 9, so
1/(9x+9) = 36/(9x + 9) - (5x + 5)/9
1 - 36 + 5x + 5 / 9x - 9
30x - 30/9x - 9
10x-10/3x - 3
10(x-1)/3(x-1)
10/3
Hope this helped!
Answer:
If AB is a tangent to the circle, the triangle ABO is right angled, as the angle where a tangent meets the circumference is always 90 degrees.
We also know that Pythogoras' theorem only holds for right angled triangles.
The hypotenuse is 12 + 8 as 12 is the radius so is 20.
16^2+12^2 = 256 + 144 = 400 = 20^2 so AB must be tangent.
X could be a variable to represent "the number"
x - 9 = 4x + 5
hope this somewhat helps, not sure if its correct!
I want to say it is the <span>Commutative Laws</span>