To write 81/450 as a percent have to remember that 1 equal 100% and that what you need to do is just to multiply the number by 100 and add at the end symbol % .
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81/450 * 100 = 0.18 * 100 = 18% </span>
81/450 as a percent<span> equals </span><span>18%</span>
You plug in f(x) into where x is within g(x) so you get G(f(x))=(X+6)^4
So we need to find the sum of the first 5 terms.
You have told me that the first term is 10 meters, and that r = 0.5 per term.
With this knowledge, we can use the formula s_n=a₁((1-r^n)/(1-r)).
Plugging in the terms that we know...
s₅=10((1-0.5⁵)/(1-0.5))
s₅=10(0.96875/0.5)
s₅=10(1.9375)
s₅=19.375
With s₅, we can determine that the ball has traveled a total of 19.375 meters after 5 bounces.
We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
Answer:
(a) The probability of having exactly four arrivals during a particular hour is 0.1754.
(b) The probability that at least 3 people arriving during a particular hour is 0.7350.
(c) The expected arrivals in a 45 minute period (0.75 hours) is 3.75 arrivals.
Step-by-step explanation:
(a) If the arrivals can be modeled by a Poisson process, with λ = 5/hr, the probability of having exactly four arrivals during a particular hour is:

The probability of having exactly four arrivals during a particular hour is 0.1754.
(b) The probability that at least 3 people arriving during a particular hour can be written as

Using

We get

The probability that at least 3 people arriving during a particular hour is 0.7350.
(c) The expected arrivals in a 45 minute period (0.75 hours) is
