Answer:
a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%
b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%
Step-by-step explanation:
We have to find
a) P(X>40)= 1- P(x=40)
Using the z statistic
Here
x= 40 mph
u= 44mph
σ= 3 mph
z=(40-44)/3=-1.33
From the z-table -1.67 = 0.9082
a) P(X>40)=
Probability exceeding the speed limit = 0.9082 = 90.82%
b) P(50<X<55)
Now
z1 = (50-44)/3 = 2
z2 = (55-44)/3= 3.67
Area for z>3.59 is almost equal to 1
From the z- table we get
P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)
= P(2 < z < 3.67)
= P(z<3.67) - P(z<2)
= 1 - 0.9772
= 0.0228
or 2.28%
Answer: Y=mx+b
B is the y intercept and the slope is M
So the answer is Y= -4x+ 0
Step-by-step explanation:
I'm assuming the the numbers coming after the variables are meant to be exponents, and if I'm wrong just let me know
-3x^4 - 2x^3 + 3x^2 + 3x^4 - 4x^3 + x^2, rearrange to have like terms in order
-3x^4 +3x^4 - 2x^3 - 4x^3 +3x^2 + x^2, now simplify
0 -6x^3 + 4x^2
Slope Intercept Form - y = mx + b
First you need the slope or m which in the first equation is 6 and in the second is 5
Next the y-intercept or b which in the first equation is -4 and in the second is -3
Here is an image of both equation plotted on a graph where the first equation is purple and the second is green
Hope this helps, if you need anything else i will edit it in :)
edit: The to lines intercept at the point (1,2)
Sorry, i wasn't completely sure what you needed i haven't done this in a while. If you still need more, I'll try to help.
Answer:
What’s the question?
Step-by-step explanation: