Answer:
Probability = 0.0288
Step-by-step explanation:
For the first draw.
There are total of 52 cards in a deck of cards and a total of 26 red cards in a deck of cards.
Probability of drawing a red= 26/52
Probability = 0.5
For the second draw. Actually the initial card drawn was replaced. Total number of face cards are 12.
Probability of drawing a face card = 12/52= 0.23076923
For the third draw .
There are 13 diamond cards in total.
Probability of a diamond = 13/52
Probability = 0.25
Probability of red,face, diamond= 0.5*0.23076923*0.25=0.028846
To four decimal place = 0.0288
Hello!
First the left side:
5 ⋅ 5= 25
Now the right:
5 ⋅5=25 25⋅5 is 125
Now we add the two together and we get 150.
I hope it helps!
Firstly expand (x - 3)(ax^2 + bx + c):
ax^3 + bx^2 + cx - 3ax^2 - 3bx - 3c
Now rearrange it so that it's in the form ax^3 + bx^2 + cx + d:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c
Now we can compare both equations:
ax^3 + (b-3a)x^2 + (c-3b)x - 3c = 2x^3 - x^2 - 19x + 12
We get:
(1) a = 2
(2) b - 3a = -1
(3) c - 3b = -19
(4) -3c = 12
If we substitute (1) into (2) we get:
b - 3*2 = -1
b - 6 = -1
b = 5
Now if we solve (4) we get:
-3c = 12
c = -4
Therefor a = 2, b = 5 and c = -4
Let u be the number of used cars and n the number of new cars, then u+n=17.
Sales values: 7000u+16000n=191000; so 7u+16n=191.
Since n=17-u, we can rewrite this: 7u+16(17-u)=191.
7u+272-16u=191, 9u=272-191=81 and u=9. So 9 used cars were sold (8 new).
