What is the solution of the system of equations? y = –3x 7 y = 2x – 8 a. (3, –2) b. (–15, 52) c. (–2, 3) d. (0.2, –7.6)

Option A is correct.

Step-by-step explanation:

Given System of equation are:

y = -3x + 7 (1)

y = 2x - 8 (2)

We have to find the solution of the system of equation.

We use substitution Method,

value of y from equation (1) put in eqn (2),

-3x + 7 = 2x - 8

-3x - 2x + 7 = -8

-5x = -8 - 7

-5x = -15

x = 3

Now put value of x in eqn (1),

y = -3(3) + 7 = -9 + 7 = -2

So, ( x , y ) = ( 3 , -2 )

Therefore, Option A is correct.

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;