The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.
Step-by-step explanation:
The given is,
Detailed view or net diagram of the three dimensional diagram.
Step:1
Three dimensional diagram of the given net diagram is attached.
From the three dimensional diagram given net diagram is rectangular prism.
Step:2
From the three dimensional diagram
Formula for surface area of the rectangular prism,
..............................(1)
Where, w - Width
l - Length
h - Height
From the attachment,
l = 6 cm
w = 2 cm
h = 3 cm
Equation (1) becomes,
= 2 ( 12 + 18 + 6 )
= 2 ( 36 )
A = 72 squared centimeters
( or )
From the net diagram,
Surface area, A = ((6×3)+(2×3)+(2×6)+(2×3)+(3×6)+(2×6))
= 18 + 6 + 12 + 6 + 18 + 12
= 72
Surface area, A = 72 squared centimeters
Result:
The surface area of the three dimensional solid is 72 square centimeters and its three dimensional diagram is attached.
Answer:
The answer to part B is B.
Step-by-step explanation:
Could you take another photo so I can see the bottom of the page?
Answer:
A. E(x) = 1/n×n(n+1)/2
B. E(x²) = 1/n
Step-by-step explanation:
The n candidates for a job have been ranked 1,2,3....n. Let x be the rank of a randomly selected candidate. Therefore, the PMF of X is given as
P(x) = {1/n, x = 1,2...n}
Therefore,
Expectation of X
E(x) = summation {xP(×)}
= summation {X×1/n}
= 1/n summation{x}
= 1/n×n(n+1)/2
= n+1/2
Thus, E(x) = 1/n×n(n+1)/2
Value of E(x²)
E(x²) = summation {x²P(×)}
= summation{x²×1/n}
= 1/n
Answer:
Part A
12 pieces
Part B
Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.
Step-by-step explanation:
Part A: How many 2/5 foot pieces can Tara cut from the 4 4/5 feet of rope?
This is calculated as:
4 4/5 feet of rope ÷ 2/5 foot pieces
= 24/5 ÷ 2/5
= 24/5 × 5/2
= 12
Part B: Using the information in Part A, interpret the meaning of the quotient in terms of the two fractions given
The quotient in Part A is 12
Therefore, this can be interpreted as:
Tara can cut Twelve 2/5 foot pieces can be cut from 4 4/5 feet of rope.
