Help me complete the square. ​

k=-10=1.357816691600547or k=-10=-21.35781669160055

Step-by-step explanation:

k^2-20k=29 |+100

k^2-20k+100=29=100

k^2-2x10xk+(-10)^2=129

(k-10)^2=129

|k-10|=

case 1 k is a positive number

case 2 k is a negative number

hope this helps

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;

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96