The intercepts are the points where the line meets with the x axis and the y axis. First let us find the equation of the line.
Finding slope:
slope=change in y/change in x (y2-y1/x2-x1)
slope=-3-(-8)/-4-(-1)=5/-3=-5/3
Finding y-intercept:
y=mx+b
-8=-5/3(-1)+b
b=-9 2/3
y intercept: (0,-9 2/3)
Equation: y=-5/3x-9 2/3
Since we already have the y intercept let us find the x intercept by plugging 0 in the place of y in the equation.
0=-5/3x-9 2/3
x=29/3x(-3/5)
x=-29/5
x intercept: (-29/5,0)
answers: (0,-9 2/3) and (-29/5,0)
Ab=81, a=81/b
s=a+b using a from above in this we get:
s(b)=81/b +b
s(b)=(81+b^2)/b
ds/db=(2b*b-81-b^2)/b^2
ds/db=(2b^2-81-b^2)/b^2
ds/db=(b^2-81)/b^2
d2s/db2=(2b^3-2b^3+81)/b^4
d2s/db2=81/b^4 since b is positive we know that the acceleration is positive so that when ds/db=0 it is a minimum for s(b)
ds/db=0 only when b^2-81=0, b^2=81, b=9
The two positive numbers are 9 and 9.
Answer:
D. Because we would be interested in any difference between running on hard and soft surfaces, we should use a two-sided hypothesis test
Step-by-step explanation:
Hello!
When planning what kind of hypothesis to use, you have to take into account any other studies that were made about that topic so that you can decide the orientation you will give them.
Normally, when there is no other information available to give an orientation to your experiment, the first step to take is to make a two-tailed test, for example, μ₁=μ₂ vs. μ₁≠μ₂, this way you can test whether there is any difference between the two stands. Only after having experimental evidence that there is any difference between the treatments is there any sense into testing which one is better than the other.
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They would be able to clean 7 cars in 56 mins
Answer:
20%
Step-by-step explanation:
You would do 40/50 and then 40/50 is also 80/100. Then you'd take the remainder and that'd be the mark up price.