Answer:
The events must be independent.
Step-by-step explanation:
The only assumption that must be made is that the events are independent. That is, the amount of soda in a given can does not depend on the amount of soda of any previous can filled at the same facility.
If this assumption holds, then the probability of finding exactly k cans of soda filled correctly would be
where
are combinations of 100 elements taken k at a time.
Answer:
The equations shows a difference of squares are:
<u>10y²- 4x²</u> $ <u>6y²- x²</u>
Step-by-step explanation:
the difference of two squares is a squared number subtracted from another squared number, it has the general from Ax² - By²
We will check the options to find which shows a difference of squares.
1) 10y²- 4x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√10 y + 2x )( √10 y - 2x)
2) 6y²- x²
The expression is similar to the general form, so the equation represents a difference of squares.
It can be factored as (√6y + x )( √6y - x)
3) 8x²−40x+25
The expression is not similar to the general form, so the equation does not represent a difference of squares.
4) 64x²-48x+9
The expression is not similar to the general form, so the equation does not represent a difference of squares.
I think it would be 5x+3 since if x is one person they would all pay $5 and then they’d pay $3 once for the wagon
ANSWER: -60
EXPLANATION: To solve for (-10) - |(-20) – (+30) |, we need to do:
−10−| −20 − 30|, which equals −10−|−50|. Next, we do −10−50, which is -60.
−10−|−20−30|
= −10−|−50|
= −10−50
= −60