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:
The roller coaster is 155 feet above the ground.
Step-by-step explanation:
Given:
The roller coaster climbs 120 feet from ground level.
Then drops 75 feet
Then again climbs 105 feet
To find distance of roller coaster above the ground now we will subtract the drop in level from the rise and then add the second rise to the difference.
This can be evaluated as:
⇒ 
⇒ 
Thus the roller coaster is 155 feet above the ground.
Answer:
-x^8y^2 -2y^7 -2xy^4 -6xy
Step-by-step explanation:
Eliminate parentheses.
xy^4 + 5y^7 - 6xy - 7y^7 - x^8y^2 -3xy^4
Arrange in descending degree order, group like terms.
-x^8y^2 +(5y^7 -7y^7) +(xy^4 -3xy^4) -6xy
Combine like terms.
-x^8y^2 -2y^7 -2xy^4 -6xy
Answer:
8x(3x^2 +1)
Step-by-step explanation:
24x^3 + 8x
We can factor out 8x
8x(3x^2 +1)
For letter the answer is 2
for letter b the answer is 1
