Answer:
2 x 7
Step-by-step explanation:
a * b = 14
2a + 2b = 18
(a * b)/b = 14/b Dividing both sides by b
a = 14/b
Substitute a in the perimeter equation
2(14/b) + 2b = 18
28/b + 2b = 18
2b - 18 + 28/b = 0
Multiply both sides by b
2b^2 - 18b + 28 = 0
Divide both sides by two
b^2 - 9b + 14 = 0
The Factors of 14 include -2 and -7 which add up to -9
(b - 2) * (b - 7) = 0
This has two answers because b can be either the side that is 2 long or 7 long, so there's no need to go back and solve for a.
2 x 7
Answer:
a
The null hypothesis is 
The alternative hypothesis is 
b
The sample proportion is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 546
The number of people that use a laptop overnight is 
The population proportion is 
Generally
The null hypothesis is
The alternative hypothesis is
Gnerally the sample proportion is mathematically represented as
=> 
=>
Answer:
V = πr²h
V = π(8)^2×12 r = ½diameter= 16/2=8
V = 64π×12
V= 64 × 3.14 ×12
V = 2,411.52 cubic inches.
Hope it helps!
Answer:
The subtraction property of equality
Option A is correct
Explanation:
The given equation is:
12 - x = 7x + 32
Subtract 12 from both sides
12 - 12 - x = 7x + 32 - 12
-x = 7x + 20 (Step 1)
From step 1 above, subtract 7x from both sides
-x - 7x = 7x - 7x + 20
-8x = 20 (Step 2)
Since we subtracted 7x from both sides to get step 2, the justification for step 2 is the subtraction property of equality
