Answer:
Option C
Step-by-step explanation:
The central Limit Theorem says the sampling distribution of the sample mean is approximately normal under certain conditions
The conditions are
i) the population should be symmetrial. If population is skewed sample size should be sufficiently large atleast 30
ii) Samples should be drawn strictly at random
iii) the sample observations should be independent
Thus we find that option a is not necessary because even for skewed large sample size allows the theorem
Option b is not correct since if population is less than 30, sampling itself is not necessary.
Option d is also wrong since normality is not necessary
Only option C) The sample size must be large (e.g., at least 30) is the necessary condition
We know that
[volume of a sphere]=(4/3)*pi*r³
r=12 in
[volume of a sphere]=(4/3)*3.14*12³-----> 7234.56 in³------> 7235 in³
the answer is the option
<span>D) 7,235 in</span>³
Both rates and ratios are a comparison of two numbers. A rate is a specific type of ratio. The difference is that a rate is a comparison of two numbers with different units, and a ratio compares two numbers with the same unit.
5x + 10y = 18
x = y -6, we substitute this into first equation.
5x + 10y = 18
5*(y - 6) + 10y = 18
5y - 30 + 10y = 18
So it the last option from the top.
