Answer:
r = 3
Step-by-step explanation:
− 3 ( 6 r + 2 ) + 5 ( r + 1 ) = − 40
- 18r - 6 + 5 ( r + 1 ) = - 40
- 18r - 6 + 5r + 5 = - 40
-13r - 1 = - 40
-13r = - 39
r = 3
Hi there!
As you mentioned in the question -- growth:
![a = p(1 + r) ^{n}](https://tex.z-dn.net/?f=a%20%3D%20p%281%20%2B%20r%29%20%5E%7Bn%7D%20)
We plug in the data from the question into the formula to find our answer.
p = initial value = 1,000 people
r = increasing rate = 5% = 0.05
(We've found this number by dividing by 100)
n = amount of years = 5
a = outcome
![a = 1000(1 + 0.05) {}^{5} \\ a = 1000(1.05) {}^{5} \\ a = 1276.28](https://tex.z-dn.net/?f=a%20%3D%201000%281%20%2B%200.05%29%20%7B%7D%5E%7B5%7D%20%20%5C%5C%20a%20%3D%201000%281.05%29%20%7B%7D%5E%7B5%7D%20%20%5C%5C%20a%20%3D%201276.28)
Therefore the population consists of 1276 people after 5 years.
~ Hope this helps you!
Answer:
std deviation = 1.641
Step-by-step explanation:
Given that the TSH (Thyroid Stimulating Hormone) levels among healthy individuals are normally distributed with a mean of 3.1 units/mL.
If X represents the TSH then X is N(3.1, sigma)
We do not know sigma value, but we are given that exactly 95% of healthy individuals have TSH levels below 5.8 units/mL.
We know as per standard normal distribution score that 95th percentile referes to Z score of 1.645
Using this we can find standard dev
![5.8 = 3.1+1.645*standard dev\\Standard dev = \frac{5.8-3.1}{1.645} \\=1.641](https://tex.z-dn.net/?f=5.8%20%3D%203.1%2B1.645%2Astandard%20dev%5C%5CStandard%20dev%20%3D%20%5Cfrac%7B5.8-3.1%7D%7B1.645%7D%20%5C%5C%3D1.641)
Answer:
The answer is 162.375
Step-by-step explanation:
150×8.25÷100=12.375
150+12.375=162.375
Round the decimaks if you need