Answer:
Area = 10025.66 square units
Step-by-step explanation:
We are given the following in the question:
The birth rate of a population:

The death rate of a population:

The area between the curve for 0 ≤ t ≤ 10, is given by:
![\displaystyle\int_0^{10}b(t) - d(t)~ dt\\\\\displaystyle\int_0^{10} 2300e^{0.024t}-1450e^{0.019t}~dt\\\\= \Bigg[\frac{2300e^{0.024t}}{0.024}\Bigg]_0^{10}-\Bigg[\frac{1450e^{0.019t}}{0.019}\Bigg]_0^{10}\\\\= \Bigg[\frac{2300e^{0.24}}{0.024}-\frac{1450e^{0.19}}{0.019}\Bigg]-\Bigg[\frac{2300}{0.024}-\frac{1450}{0.019}\Bigg]\\\\= 29543.2058565 - 19517.5438596 \approx 10025.6](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Cint_0%5E%7B10%7Db%28t%29%20-%20d%28t%29~%20dt%5C%5C%5C%5C%5Cdisplaystyle%5Cint_0%5E%7B10%7D%202300e%5E%7B0.024t%7D-1450e%5E%7B0.019t%7D~dt%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.024t%7D%7D%7B0.024%7D%5CBigg%5D_0%5E%7B10%7D-%5CBigg%5B%5Cfrac%7B1450e%5E%7B0.019t%7D%7D%7B0.019%7D%5CBigg%5D_0%5E%7B10%7D%5C%5C%5C%5C%3D%20%5CBigg%5B%5Cfrac%7B2300e%5E%7B0.24%7D%7D%7B0.024%7D-%5Cfrac%7B1450e%5E%7B0.19%7D%7D%7B0.019%7D%5CBigg%5D-%5CBigg%5B%5Cfrac%7B2300%7D%7B0.024%7D-%5Cfrac%7B1450%7D%7B0.019%7D%5CBigg%5D%5C%5C%5C%5C%3D%2029543.2058565%20-%2019517.5438596%20%5Capprox%2010025.6)
It would be 9 flowers because 4 times 9 equals 36 which means that each arrangement would have an even amount.
Answer:
0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Step-by-step explanation:
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
The probability that part A works for one year is 0.8 and the probability that part B works for one year is 0.6.
This means that 
The probability that at least one part works for one year is 0.9.
This means that: 
We also have that:

So


Calculate the probability that part B works for one year, given that part A works for one year.

0.625 = 62.5% probability that part B works for one year, given that part A works for one year.
Answer:
29.5 mm
Step-by-step explanation:
We are told that the average monthly rainfall for 6 months was 28.5 mm.
Thus, total for the 6 months = 28.5 × 6 = 171 mm
Now, we are told that it rained 1 mm extra each month.
So extra for the six months = 1 × 6 = 6mm
New total for 6 months = 171 + 6 = 177 mm
So, new average for 6 months = 177/6 = 29.5 mm