Answer:
Step-by-step explanation:
3x-4<8
3x<12
x<4
2x+2>4
2x>2
>1
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%
1 - 9
2 - 87
3 - -2
4 - -9
that’s the answers for them :), have a great day !! :)
Volume of a sphere of radius r is
V = (4/3)πr³
r = 9
V = (4/3)π(9³) = 12(9²)π = 972 π
Answer : 972π cubic units
Answer: z= 1.3
Divide both side by 4.5
