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:
25π-24
Step-by-step explanation:
from the figure,
radius of the circle(r)=diameter of the circle(d)/2
=10/2
=5
Area of the circle(A)=πr^2
=π5^2
=25π
Again,
base of the right angle triangle(b)=6
perpendicular of right angle triangle(p)=8
we also know,
the area of right angle triangle = 1/2*base*height
=1/2*6*8
=1/2*48
=48/2
=24
Now, Area of the shaded region=Area of circle - Area of right angle triangle (given in the figure)
Area of shaded region= 25π -24
Answer:
its not possible
Step-by-step explanation:
Answer:
20.3 ft
Step-by-step explanation:
The object-shadow ratio for the stick= 3÷1.5=2:1
The object-shadow ratio is same for all objects.
Let height of the tree be x
2/1 = x/10.15
x=10.15 * 2=20.3
