A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)
AB,BC,CD,DA
AB = [4-(-5)),5-5]=[9,0]
Lenght

BC = [2-4,0-5]=[-2,-5]
Lenght

CD = [-5-2,-2-0]=[-7,-2]
Lenght

DA =[-5-(-5),-2-5]=[0,-7]
Lenght

sorted from longest to shortest:
AB, CD,DA,BC
Answer:
A) P(WWC) = 0.128
B) P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) probability of getting 2 correct answers when 3 guesses are made is i.e P (1 wrong and 2 correct) = 0.064
Step-by-step explanation:
A) Using the multiplication rule, we have; P(A and B) = P(A) x P(B)
Probability of a wrong answer = 4/5 = 0.8
Probability of a correct answer = 1/5 =0.2
Thus; P(WWC) = 0.8 x 0.8 x 0.2 = 0.128
B) Beginning with one wrong and two correct answers, a complete list of all possibilities is;
P(WCC), P(CWC), P(CCW)
Hence the complete list is;
(0.8 x 0.2 x 0.2); (0.2 x 0.8 x 0.2); (0.2 x 0.2 x 0.8)
So we have;
P(WCC) = 0.032
P(CWC) = 0.032
P(CCW) = 0.032
C) Based on the results above, the probability of getting 2 correct answers when 3 guesses are made is i.e P(1 wrong and 2 correct) = 2 x 0.032 = 0.064
Answer: 18
Step-by-step explanation:
The least common denominator of
and
is going to be a multiple of 9 and 6. Let us list them out:
9: 9, <u>18</u>, 27, 36, 45, 54, 63, 72, 81, 90
6: 6, 12, <u>18</u>, 24, 30, 36, 42, 28, 54, 60
You can see I bolded and underlined 18. Why? This is the first common multiple of 9 and 6 so it is our least common denominator (LCD).
1)Find the lcd for 1/8+5/6
=2/24+5*4/24
since the denominators are equal, combine the fractions
=3+4*5/24
=23/24
2)Convert the mixed numbers to improper
=15/8*17/5
=255/40
=51/8
=6 3/8
3)1/9 divided by 3
1/3*9
=1/27
4) 2 3/5* 2 6/35
13/5*76/35
13*76/175
988/175
=5 113/175
Answer:
3/22
Step-by-step explanation:
12/88
12/88 divided by 4/4 = 3/22