Answer:
(a)
Step-by-step explanation:
The question is incomplete. (See comment for complete question).
From the completed question, we have:
--- number of pyramids
Required
An expression for the area of the base
The total base length of the pyramid represents the perimeter of the base.
And since the base is a square, then the following relationship exist.
Where L represents the length of each side.
This gives
Make L the subject
The area of the base is then calculated as:
This cannot be solved unless you provide the picture for further answering.
Answer:
y=-2
Step-by-step explanation:
Hello : let A(-3,-4) B(6,2)
the slope is : (YB - YA)/(XB -XA)
(2+4)/(6+3) = 6/9 = 2/3
an equation is the line is : y = ax+b a is a slope
y = (2/3)x+b
but this line passes by (6;2)
so : 2 = (2/3)(6)+b
b = -2
the equation is : y = (2/3)x-2
the the Y intercept of this line when : x= 0 so : y = (2/3)(0)-2
y=-2
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%
It’s the light blue one!!!