We use the chi-square distribution when making inferences about a single population variance.
Short Description of Chi-Square Distribution
The continuous probability distribution known as the chi-square distribution. The number of degrees of freedom (k) a chi-square distribution has determines its shape. This type of sampling distribution has a variance of 2k and a mean equal to its number of degrees of freedom (k). The range is of a chi-square distribution is from 0 to ∞.
Variance plays a key role in the analysis of risk and uncertainty. The sample variance, an unbiased estimator of population variance, is expressed by the following formula of core statistic for a sample size 'n' and Y' as the sample mean:
S² = ∑(Yₓ - Y') / (n-1)
The formula, (n-1)S² / σ² has the central chi-square distribution as χ²ₙ₋₁. Here (n-1) represents the degrees of freedom.
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Answer:
17/5
3.4
Step-by-step explanation:
there could be multiple so theres a fraction and a decimal
Look for a relationship between the input “X” side, and the output “Y” side. Check thepattern<span> against every row. It has to be true for the whole table, or it's not the </span>rule<span>. Use the </span>rule<span>, and the numbers you </span>know<span>, to complete or </span>extend<span> the </span>pattern<span>.</span>
Answer:
Option D is right
Step-by-step explanation:
Given are two graphs. The first one is given as

The second one equation we have to find out.
Option A given as
is having x intercept as
(0,1/2). But our g(x) has x intercept as 1. Hence not correct.
Option B: 
This has x intercept as (0,2). Since does not match with g(x) not correct
OPtion C:

Here x intercept = 1 matches with ours.
Also g(2) = 2, twice as that of original f(x)
Hence option C is not right
Option D is only right because x intercept should be 1 and also when x=4 y=2(log 4 to base 2)
Answer:
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006
Completed question;
There were approximately 1.6 * 10^11 pieces of mall processed by the United States Postal
Service in 2012. This is about 75% of the number of pieces of mail processed in 2006.
Approximately how many pieces of mail were processed by the United States Postal Service in
2006
Step-by-step explanation:
Let x represent the number of mails processed in year 2006
Given;
Number of mails processed in 2012 N = 1.6 × 10^11
Number of mails processed in 2012 N is about 75% of the number of pieces of mail processed in 2006.
So;
N = 75% of x
N = 0.75x
x = N/0.75
x = (1.6 × 10^11)/0.75
x = 2.13 × 10^11
Approximately 2.13 × 10^11 mails were processed in 2006