Get into form a(x-h)²+k
complete the square
-3x²-18x-31
group x terms
(-3x²-18x)-31
undistribute the -3
-3(x²+6x)-31
take 1/2 of the linear coefient (6) and squaer it
6/2=3, 3²=9
add positive and negative of it inside parenthasees
-3(x²+6x+9-9)-31
complete the square
-3((x+3)²-9)-31
expand
-3(x+3)²+27-31
-3(x+3)²-4 is vertex form
Answer:
48%
Step-by-step explanation:
The conditional probability definition applies.
P(med | cold) = P(med & cold) / P(cold)
The probabilities are the table numbers divided by the total of all numbers in the table (100). Since that dividend is the same for all, we can basically ignore it and just use the table numbers.
P(med | cold) = (12)/(8+12+5) = 12/25 = 48/100
P(med | cold) = 48%
Answer:
1584mm^2
Step-by-step explanation:
20 x20 = 400 and there are 3 of them
400+400+400 = 1200
1/2(16x24 ) =192 and there are 2 of them
192+192 = 384
1200+384
Answer:
7/3
Step-by-step explanation:
It would be 7/4 divided by 3/4 which would just be 7/4 multiplied by 4/3. This is 28/12. Simplify:7/3
Since 11 out of 55 specials were salmon filet,
The percentage of specials that were salmon filet is 11/55 = 20/100 = 20%.
