Im not sure if this is correct I just need points. B
Step-by-step explanation:
Answer from: Quest
{x = -1/2 , y = -1
step-by-step explanation:
solve the following system:
{2 x + y = -2
{10 x - 3 y = -2
in the first equation, look to solve for y:
{2 x + y = -2
{10 x - 3 y = -2
subtract 2 x from both sides:
{y = -2 x - 2
{10 x - 3 y = -2
substitute y = -2 x - 2 into the second equation:
{y = -2 x - 2
{10 x - 3 (-2 x - 2) = -2
10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:
{y = -2 x - 2
{16 x + 6 = -2
in the second equation, look to solve for x:
{y = -2 x - 2
{16 x + 6 = -2
subtract 6 from both sides:
{y = -2 x - 2
{16 x = -8
divide both sides by 16:
{y = -2 x - 2
{x = -1/2
substitute x = -1/2 into the first equation:
{y = -1
{x = -1/2
collect results in alphabetical order:
answer: {x = -1/2 , y = -1
Answer from: Quest
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;
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