We wish to estimate ln(0.5) using annth degree Taylor polynomial for ln (1 +x) centeredata= 0. How large shouldnbe to guarantee the approximation will be within 0.0001?(Hint: Start by calculating a formula for|f(n+1)(z)|and finding a bound on this quantitybetweenx=−1/2 anda= 0.)

d. 24+-0.114

step-by-step explanation:

the question requires us to calculate the approximate 95% confidence interval for the mean number of ounces of ketchup per bottle in the sample given the following statistics;

sample mean = 24

standard deviation, σ = 0.4

sample size , n = 49

the confidence interval for a population mean is calculated using the formula;

sample mean ± z-score*(σ/sqrt(n))

the z-score associated with a 95% confidence interval, from the standard normal tables, is;

1.96

substituting these values into the formula;

24 ± 1.96*(0.4/7)

= 24 ± 0.112

from the alternatives given, choice d is closest to the above expression;

rotation point l

step-by-step explanation:

about 168 miles

step-by-step explanation: