Equations with variables. explain it to me.

Equation: 10x-12=6x-6

X: 3/2 or .5

Perimeter of square and triangle are both 3.

Step-by-step explanation:

Square:

4(2.5x-3) {The four represents the amount of sides}=

10x-12

Triangle:

3(2x-2)=

6x-6

Since they have the same perimeter the equation is

10x-12=6x-6

10x-6x=12-6

4x=6

x=1.5

Square pt 2:

4(2.5(3/2)-3)=

4(3.75-3)=

4(0.75)=

3

Triangle pt 2:

3(2(3/2)-2)=

3(3-2)=

3(1)=

3

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;