Two times a number minus four times another number is ten, and four times the first number minus four times the second number results in four. What are the two
numbers? Let the first number be x. Iand the second number be y.

-3 and -4

Step-by-step explanation:

x = 1st number

y = 2nd number

2x-4y=10

4x-4y=4

distribute first equation by -2 to eliminate x-values:

 -4x + 8y = -20

+ 4x - 4y = 4

4y = -16

y = -4

solve for 'x':

2x - 4(-4) = 10

2x + 16 = 10

2x = -6

x = -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;