We can model the equation:y = m x + b, where y is the total profit and x is the number of hotdogs sold.The system of equations is:
90 = 40 m + b210 = 80 m + b---------------------b = 90 - 40 m210 = 80 m + 90 - 40 m210 - 90 = 40 m120 = 40 mm = 120 : 40m = 3b = 90 - 40*3b = 90 - 120b = - 30Answer: The equation is y = 3 x - 30
Answer is QM = 18
You can find the length of QM by using Pythagorean theorem. See the attachment.
It is a quadrilateral with 4 equal congruent sides.
If SP = 30, so do the other 3 sides indicated by the tick marks on all 4 sides.
We will call side RQ = the hypotenuse
or side “c” = 30
We know RM is leg “b” = 24
Side “a” is our unknown QM
Our formula is
a^2 + b^2 = c^2
a^2 + 24^2 = 30^2
a^2 + 576 = 900
a^2 = 900 - 576
a^2 = 324
Take square root of both sides to solve a
a = 18
QM = 18
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)
Answer: -0.33
Step-by-step explanation:
So how you would do this as you would set it up in a graph on a piece of paper you would take both points you'd use your slope formula, which is m=y2-y1 over x2-x1 And then you sell your formula with the numbers. So it would be 3-5 over 5-(-1) And then you subtract both of those and you take your two answers and divide them. -2÷ 6 =