What is the numerical coefficient of the a^4 b^4 term in the expansion of (1/3a^2 - 2b)^6 enter your answer, in the simplest fractional form, in the box

Use the binomial theorem:

where

is the binomial coefficient.

We get the a⁴ b⁴ term when k = 4, which gives the coefficient

the answer is a

step-by-step explanation:

because if you put 1 in to the square root of x it equals 300.

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;