Which ordered pair is the solution to the system of equations?

2x+y=-8
x−y=−4

1. (1, 5)

2. (−1, 3)

3. (−4, 0)

4. (−3, −2)

#3. (-4,0)

Step-by-step explanation:

Add the two equations

2x + y = -8

x - y = -4. The y's cancel

3x +0 = -12. Divide both sides by 3

x = -4 Substitute for x in the first equation and solve for y.

2(-4) + y = -8

-8 + y = -8

y = 0

Solution: (-4,0)

0.02040816326

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;