Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

3 Ways To Evaluate The Limit Of Sin(X)/X As X Approaches 0: L’Hopital’S Rule, Taylor Series, And Squeeze Theorem

lim(sin(x)/x)x->0 1 To evaluate the limit lim(sin(x)/x)x -> 0, you can plug x = 0 into the expression sin(x)/x, which results in an indeterminate form of 0/0....

John Rhodes
June 21, 2023
Calculus

Calculate The Angle Between Two Vectors In 2D And 3D Space Using Common Formulas

Angle Between Two Vectors Formula arccos((u ⋅ v) / (||u|| * ||v||)) The formula to find the angle between two vectors could vary depending on the type...

John Rhodes
June 21, 2023
Calculus

Master Complex Number Calculations With Demoivre’S Theorem | Explained Simply

DeMoivre’s Theorem [r(cosx + isinx)]^n = r^n(cos(nx)+isin(nx)) DeMoivre’s theorem is a mathematical formula that is used to calculate the powers of complex numbers. It is named after...

John Rhodes
June 21, 2023
Statistics

How Confidence Level And Margin Of Error Relate In Statistical Analysis

T/F: There is a trade-off between the confidence level and the margin of error. To obtain a smaller margin of error from the same data, you must...

John Rhodes
June 21, 2023
Statistics

Sample Size And Margin Of Error In Statistics: How Doubling May Not Cut It In Half

T/F: Doubling the sample size cuts the margin of error in half FALSE- sample size ‘n’ is under square root sign…so quadrupling the sample size will cut...

John Rhodes
June 21, 2023
Statistics

Maximizing Accuracy: The Limitations Of Margin Of Error In Confidence Intervals

what is the one flaw of the margin of error in a confidence interval random sampling error because the statistic misses the true parameter by a random...

John Rhodes
June 21, 2023
Statistics

Statistical Significance Vs Effect Size In Math: Importance Of Cohen’S D And Correlation Coefficients

T/F: statistical significance doesn’t tell you about the MAGNITUDE of the effect 1 True. Statistical significance indicates whether an observed effect is likely to be real and...

John Rhodes
June 21, 2023
Statistics

Maximizing Accurate Representations: The Impact Of Sample Size On Statistical Significance In Mathematics

T/F: b/c large random samples have SMALL chance variation, very small population effects can be highly significant if the sample is large 1 True. Large random samples...