Apply the Binomial Theorem to expand the following expression
2 answers:
Answer:
32 - 80
+ 80x³ - 40x² + 10x - 1
Step-by-step explanation:
Using the 5 th row of Pascal's triangle to generate the coefficients
1 5 10 10 5 1
with deceasing powers of 2x from to
and increasing powers of - 1 from to
, then
= 1 × + 5 ×
+ 10 × (2x)³(- 1)² + 10 × (2x)²(- 1)³ + 5 ×
+ 1 ×
= 32 - 80
+ 80x³ - 40x² + 10x - 1
You might be interested in
Answer:
The 99% confidence interval is
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is
The population standard deviation is
From the question we are told the confidence level is 99% , hence the level of significance is
=>
Generally from the normal distribution table the critical value of is
Generally the margin of error is mathematically represented as
=>
Generally 95% confidence interval is mathematically represented as
=>
=>