Answer:
6x = 42
Step-by-step explanation:
The formula to find the area of a rectangle is 
. Since we have a value for the width, we simply need to find what to multiply to 6 to get 42.
Let x = length
6x = 42
We then divide both sides by 6 to find the value of x.
So we know the length is 7.
To check the answer we substitute x with 7.
Answer:
x>4
Step-by-step explanation:
trust
Slope of the line = (0- -5) / 6-3) = 5/3
in point slope form the equation is
y - 0 = 5/3( x - 6)
y = 5/3x - 10
multiply through by 3:-
3y = 5x - 30
In Standard form this is
5x - 3y = 30 Answer
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%
