The correct answer is: [D]: " 4xy + 16x − 4y² − 16y " .
_____________________________________________________
Explanation:
_____________________________________________________
Given:
_____________________________________________________
" (2x <span>− 2y) (2y + 8) " ; Simplify .
_____________________________________________________
We starting by "expanding" the expression.
_____________________________________________________
<u>Note</u>: " (a + b)(c + d) = ac + ad + bc + bd " ;
_____________________________________________________
</span>→ (2x * 2y) + (2x * 8) + (-2y * 2y) + (-2y * 8) ;
= 4xy + 16x + (- 4y² ) + (-16y) ;
= 4xy + 16x − 4y² <span>− 16y ;
</span>→ which is: "Answer choice: [D]: " 4xy + 16x − 4y² − 16y " .
_________________________________________________________
Answer:
a) 0.32
b) 0.68
c) office or den
Step-by-step explanation:
Locations Probabilities
Adult bedroom 0.03
Child bedroom 0.15
Other bedroom 0.14
Office or den 0.40
Other rooms 0.28
a)
P(PC in bedroom)= P(PC in adult bedroom)+ P(PC in child bedroom)+ P(PC in other bedroom)
P(PC in bedroom)= 0.03+0.15+ 0.14
P(PC in bedroom)= 0.32.
Thus, the probability that a PC is in a bedroom is 0.32.
b)
P(PC is not in bedroom)= P(PC in Office or den)+ P(PC in Other rooms)
P(PC is not in bedroom)= 0.40+0.28
P(PC is not in bedroom)= 0.68.
Thus, the probability that a PC is not in a bedroom is 0.68.
c)
When a household is selected at random from households with a PC we would expect to find a PC in a room which has a greater probability of having PC.
The greater probability of room having a PC is of Office or den room with probability 0.40. So, when a household is selected at random from households with a PC we would expect to find a PC in a Office or den room.
Given

So,

So, the simplest form of 88/90 is 44/45
-22 is negative which no matter how high the negative number is the positive will always be greater. 25 is greater! :0 - hope I helped