Answer:
As the sample size increases, the variability decreases.
Step-by-step explanation:
Variability is the measure of actual entries from mean. The less the deviations the less would be the variance.
For a sample of size n, we have by central limit theorem the mean of sample follows a normal distribution for random samples of large size.
X bar will have std deviation as 
where s is the square root of variance of sample
Thus we find the variability denoted by std deviation is inversely proportion of square root of sample size.
Hence as sample size increases, std error decreases.
As the sample size increases, the variability decreases.
The factor of the expression 
is
To answer the question, we need to know what factorization is
<h3>What is factorization?</h3>
Factorization is the process of breaking down an expressing into a simpler form containing its factors.
Since
Since 
is common, we factor it out. So, we have
Expanding the bracket, we have
So, the factor of the expression is
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Answer:
f(- 4) = 12
Step-by-step explanation:
To evaluate f(- 4) substitute x = - 4 into f(x) , that is
f(- 4) = - 8 - 5(- 4) = - 8 + 20 = 12
Answer:
<u>(-4,-7)</u>
Step-by-step explanation:
The process of a reflection across the y axis is simply just switching the x value in (x,y) to a negative. So, (4,-7) and then make 4, a -4. So the resulting image is (-4,-7)
The correct statement is that the probability is B. Event F for female and event D for drama are independent events.
<h3>What are independent events?</h3>
It should be noted that two events are independent when the occurence of one doesn't affect the probability of another one occuring.
The probability of females will be:
= 3/5 = 0.6
The probability of drama will be:
= 40/240 = 0.167
In this case, they're both independent.
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