Absolute value just makes any negative positive, in theory, so it’s literally just 4+5=9 and 9+3=12
Set sin x to a variable, i.e. u
u^2-u-2/u-2.
Factor:
(u-2)(u+1)/(u-2)
Simplify by canceling the u-2s...
leaving u+1. Since we substituted u for sin x...
the answer is A. sin x + 1
Answer:
Look below
Step-by-step explanation:
The mean of the sampling distribution always equals the mean of the population.
μxˉ=μ
The standard deviation of the sampling distribution is σ/√n, where n is the sample size
σxˉ=σ/n
When a variable in a population is normally distributed, the sampling distribution of for all possible samples of size n is also normally distributed.
If the population is N ( µ, σ) then the sample means distribution is N ( µ, σ/ √ n).
Central Limit Theorem: When randomly sampling from any population with mean µ and standard deviation σ, when n is large enough, the sampling distribution of is approximately normal: ~ N ( µ, σ/ √ n ).
How large a sample size?
It depends on the population distribution. More observations are required if the population distribution is far from normal.
A sample size of 25 is generally enough to obtain a normal sampling distribution from a strong skewness or even mild outliers.
A sample size of 40 will typically be good enough to overcome extreme skewness and outliers.
In many cases, n = 25 isn’t a huge sample. Thus, even for strange population distributions we can assume a normal sampling distribution of the mean and work with it to solve problems.
Answer:
The smallest number is 10
Step-by-step explanation:
x+y=24---equation 1
x-y=¹/6×24=>x-y=4---equation 2
Add both equations
2x=28
x=14
put x=14 into equation 1
14+y=24
y=24-14=10
From 4 to 10, it is enlarge by 2.5 times
from 6 to 15, the scale factor is also 15/6=2.5
so the answer is 2.5
