Answer:
1 sub = $5.50; 1 sandwich = $4.00
Step-by-step explanation:
You can solve this using a matrix and solving using reduced row-echelon form.
Answer:
Step-by-step explanation:
step 1
Find the slope of the line
The formula to calculate the slope between two points is equal to
we have the points
(2,24) and (6,16)
substitute in the formula
step 2
Find the equation of the line in slope intercept form
we have
----> the k-intercept is the point (0,28) see the graph
substitute
Answer:
The 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
Step-by-step explanation:
Confidence Interval for difference between two means =
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
Where
μ1 = mean 1 = 12 mins
σ1 = Standard deviation 1 = 2 mins
n1 = 100
μ2= mean 2 = 11 mins
σ2 = Standard deviation 2 = 3 mins
n1 = 50
z score for 95% confidence interval = 1.96
μ1 -μ2 ± z × √ σ²1/n1 + σ²2/n2
= 12 - 11 ± 1.96 × √2²/100 + 3²/50
= 1 ± 1.96 × √4/100 + 9/50
= 1 ± 1.96 × √0.04 + 0.18
= 1 ± 1.96 × √0.22
= 1 ± 1.96 × 0.469041576
= 1 ± 0.9193214889
Confidence Interval
= 1 - 0.9193214889
= 0.0806785111
≈ 0.081
1 + 0.9193214889
= 1.9193214889
≈ 1.919
Therefore, the 95% Confidence Interval for the difference between the two population mean completion times =
(0.081, 1.919)
The slope-intercept form of a line is the following:
In this form, 
is the shape and 
is the y-intercept. Your line written in this form is
which implies that the slope is 5 and the y-intercept is -2.
