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
Answer:8pts
Step-by-step explanation:
<em>Greetings!</em>
In order to round to the nearest million, we will have to move the decimal 5 places to the left.
0.0000512 will be your answer.
<em>Hope this helps!</em>
~Fluerie
Answer:
502.4 ± 30.14 in^3
Step-by-step explanation:
r = 4 in, h = 10 in
error = ± 0.1 inch
Volume of a cylinder, V = π r² h
Take log on both the sides
log V = log π + 2 log r + log h
Differentiate both sides
dV/V = 0 + 2 dr/r + dh /h
dV/V = 2 (± 0.1) / 4 + (± 0.1) / 10
dV/V = ± 0.05 ± 0.01 = ± 0.06 .... (1)
Now, V = 3.14 x 4 x 4 x 10 = 502.4 in^3
Put in equation (1)
dV = ± 0.06 x 502.4 = ± 30.144
So, V ± dV = 502.4 ± 30.14 in^3