Answer:
The complete table is shown below.
Step-by-step explanation:
The data provided is:
Number Rolled Observed Frequency Relative frequency
1 10 
2 12 
3 10 
4 10 
5 8 
6 10 
TOTAL 60 1
The complete table is shown above.
Answer: 16
Step-by-step explanation: 20/2 = 10
10x=160
10x/10=160/10
x=16
Answer:
x>-2 and x<5
-2 <x<5
Step-by-step explanation:
We have open circles at -2 and 5 and are between the two numbers so we have and AND statement. It can be written either
x>-2 and x<5
or
-2 <x<5
Formula for perimeter of a rectangle = 2(L + W)
let the number be x
width = 2x + 8
length = 3(2x + 8)
substitute respectively
96 = 2 (2x + 8 + 3(2x + 8)) open the bracket
96 = 2 ( 2x + 8 + 6x + 24) collect like terms
96 = 2 (8x + 32) open the bracket
96 = 16x + 64
collect like terms
96 - 64 = 16x
32 = 16x
divide both sides by 16
32/16 = 16x/16
2 = x
therefore, the width = 2x + 8 = 2(2) + 8 = 4 + 8 = 12.
and the length = 3(2x + 8) = 6x + 24 = 6(2) + 24 = 12 + 24 = 36.
Answer:
k= -6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.