Two numbers multiply to be -7 and add to be -6. What are the numbers?

Example; 2,3

Given:

Let the two numbers be x and y.

Two numbers multiply to be -7 and add to be -6.

This can be written in equation as,

and

Value of the two numbers:

Let us determine the value of the two numbers using substitution method.

Substituting in the equation , we get;

Simplifying, we get;

Thus, the values of x are x = 1,-7

When x = 1 , the equation becomes

When x = -7, the equation becomes

Therefore, the two numbers are 1 and -7

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;