Answer:
- Circumference: 12.56 yd
- Area: 12.56 yd²
Step-by-step explanation:
The circumference is given by ...
C = πd
C = (3.14)(4 yd) = 12.56 yd
The area is given in terms of diameter by ...
A = (π/4)d²
A = (3.14/4)(4 yd)² = 12.56 yd²
Let
b-----------> the length side of the square box
h------------> the height of the box
SA---------> surface area of the box
we know that
[volume of the box]=b²*h
volume=256 in³
b²*h=256-------> h=256/b²-----> equation 1
surface area of the box=area of the base+perimeter of base*height
area of the base=b²
perimeter of the base=4*b
surface area=b²+(4*b)*h------> SA=b²+4*b*h-----> equation 2
substitute equation 1 in equation 2
SA=b²+4*b*[256/b²]-----> SA=b²+1024/b-----> SA=(b³+1024)/b
the answer is
the formula of the volume of the box is V=b²*h-----> 256=b²*h
the formula of the surface area of the box are
SA=b²+4*b*h
SA=(b³+1024)/b
Answer:
5/16
Step-by-step explanation:
multiply 1/2 x 5/8
=5/16
Answer: 0.0668073
Step-by-step explanation:
Given : The number of miles each tire lasts before it completely wares out follows a normal distribution with mean μ = 50,000 miles and standard deviation σ = 8,000 miles.
Let x be the random variable that represents the number of miles each tire lasts.
z-score : 
For x= 62,000

By using the standard z-value table , the probability for a randomly selected tire to last for at least 62,000 miles will be :_

Hence, the probability for a randomly selected tire to last for at least 62,000 miles = 0.0668073
Answer:
Please see attachment
Step-by-step explanation:
Please see attachment