Answer:
1. 12/26, or simplified as 6/13, or about 46%.
2. 5/26, or about 19%.
Answer:
29.4≤μ≤32.6
Step-by-step explanation:
The datas given from the questions are as shown:
Number of people n = 24
Mean xbar= $31
Standard deviation σ = $6
Confidence Interval formula is expressed as:
CI = xbar ± Z(σ/√n)
Z value for 80% confidence interval is 1.282
Substituting the values into the Confidence Interval formula will give;
CI = 31 ± 1.282{6/√24}
CI = 31 ± 1.282(1.225)
CI = 31 ± 1.57045
CI = 31+1.57045 and 31-1.57045
CI = (29.42955, 32.57045)
CI = (29.4, 32.6) to 1dp
The confidence interval will be within the range 29.4≤μ≤32.6
Answer:
a) Convergent by ratio test
Step-by-step explanation:
Given is the series
General term =
To use ratio test
Let us write n+1 th term
=
Find ratio of n+1th term to nth term
We find that here numerator has degree as 1 and denominator as 3
SInce numerator has more powers, it approaches infinity faster than numerator thus making ratio tend to 0 as n becomes large
Since ratio tends to 0, we have this series is convergent.
Answer:
Step-by-step explanation:
Apparently, you're supposed to recognize that the formula tells you the value of cos(x/2).