Answer:
2,345,78
Step-by-step explanation:
The amount of money I spend putting gas in my car this week is
B = 3.079 G
where
' B ' is the number of Bux I spend on gas this week.
' G ' is the number of Gallons I buy this week.
-- The independent variable is 'G'. I can buy as few or as many gallons
as I want to.
-- The dependent variable is ' B '. It <em>depends</em> on how many gallons I buy.
Answer:
(x + 6)² + 16 = 0
Step-by-step explanation:
To complete the square we will first need to get our equation to look like: x² + bx = c
Here we have x² + bx + c = 0 → x² + 12x + 52 = 0
- First we need to subtract our c, in this case 52, from both sides to get x² + 12x = -52
- We then need to add
to both sides of the equation - Here our b value is 12, so plugging this into our formula we get
- Adding 36 to both sides our equation becomes: x² + 12x + 36 = -52 + 36
- Then combining like terms on the right side we get x² + 12x + 36 = -16
- Now making our left side of the equation into a perfect square we get: (x + 6)² = -16
- Finally adding the 16 to both sides of the equation we get: (x + 6)² + 16 = 0
Answer:
3) 0.30
The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given 'A' plays a sport
B work part time
Given P(A) = 0.48
P(B) = 0.40
P(A∩B) =0.12
P(A∪B)¹ =0.24
<u><em>Step(ii)</em></u>:-
By using conditional probability

and similarly 
The probability a randomly selected<em> student plays a sport</em> given they work part time
Now 

<u>Final answer</u>:-
The probability a randomly selected<em> student plays a sport</em> given they work part time = 0.30
The difference is 
Explanation:
The expression is 
Removing the parenthesis, we have,

Factoring the terms
and
, we get,

Taking LCM, we get,

Simplifying the numerator, we get,

Subtracting the numerator, we have,

Hence, the difference is 