1. 3in =5ft, 6in=10ft, 9in=15ft, 12in=20ft, 18in=30ft, 21in=35ft (multiples of 3 for the top row, the bottom row is multiples of 5. when the second column appears 3x2 is 6 and 5x2 is 10, and keep going. whatever number you multiply 3 by is the same number you multiply 5 by.)
a) 30ft
b) Actual is 2.5ft and would be the bottom row. You would divide 5 by 2. Do the same for 3 and it is 1.5in.
2. Scale 2in = 4ft.
The scale dimensions of a room is 14x7
2×x=14 x=7 7×2in=14in. The actual wall would be 7×4=28ft
The scale drawing is 7in. 3.5×2=7in Then 3.5×4=14ft
Final dimensions, 28ft x 14 ft.
3. 2cm = 5m Scale
10cm = 25m. 10cm=2×5. 5m×5=25m
 6cm = 15m, 6cm=2×3. 5m×3=15m
        
             
        
        
        
Answer:
A= 12.25π or A≈ 38.48
Step-by-step explanation:
The area formula for a circle is A= πr². 
A= πr²
A= π(3.5)²
A= 12.25π or A≈ 38.48
 
        
             
        
        
        
Answer:
£25
Step-by-step explanation:
100 - 15 = 85 
53.55 ÷ 0.85 = 63 
63 - 38 = 25 
 
        
             
        
        
        
Answer:
A) No
B) No
C) Yes
Step-by-step explanation:
A)  2 out of three observations is equal to
2/3  = 0.67    or  67 %
We know tha the interval 
[μ  -  σ/2 ,  μ + σ/2]  is approximately 68.3 % of the values
Therefore 2 out of 3 would not fall in that interval
B)
4 out of  5   is  4/5    = 0,8     or 80 %  If we  examine the interval
[μ  -  σ ,  μ + σ ]   which is approximately 95. Then value 4/5  ( 0,8)
Therefore 0,8 is out of the interval
C) 19/20 = 0,95     or 95 % is almost exact the value for the interval
[μ  -  1.5σ ,  μ + 1.5σ ]  That value is inside  μ - 2σ , μ + 2
 
        
             
        
        
        
Answer:
0.01024
Step-by-step explanation:
Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;
Number of time slots, n = 5
Required to mark, number of preferred timeslot x = 2
P(x) = 2 /5 = 0.4
Probability of 0.4 that an interviewee gets one of his preferred timeslot.
Probability that each of the 5 interviewees gets one of their preferred time slots :
Using the multiplication rule of independence :
0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024
0.01024 * 100% = 1.024%