Suppose you want to factor the expression x2+ 2xn+n2. Given that n> 0, what are the factors? Explain.

The factors are (x + n)(x + n)

x² + 2xn + n²

Now let's factor it

x² + 2xn + n²

2xn = xn + xn

Therefore,

x² + xn + xn + n²

x(x + n) + n(x + n)

(x + n)(x + n)

(x + n)²

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Step-by-step explanation:

b

step-by-step explanation:

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;