Triangle def is equilateral. If the perimeter of def is 36, the length of de is 5x-8, then what is the value of x

4

Step-by-step explanation:

All the sides of an equilateral triangle are equal, hence the perimeter is expressed as P = 3s

s is one of the side length

Given  DE = 5x - 8

P = 3DE

P = 3(5x-8)

36 = 3(5x-8)

36/3 = 5x-8

12 = 5x - 8

5x = 12+9

5x = 20

x = 20/4

x = 4

Hence the value of x is 4

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;