Answer:
the probability of getting exactly 2 fours is 0.16
Step-by-step explanation:
The probability of obtaining a number that is four = ¹/₆
The probability of obtaining a non 4 number = 1 - ¹/₆ = ⁵/₆
The number of ways 2 fours can be arrange in five numbers = ⁵C₂ = 10 ways
If the die is tossed five times, the probability of the events is calculated as;
P = 10 x (¹/₆)² x (⁵/₆)³
P = 10 x (¹/₃₆) x (¹²⁵/₂₁₆)
P = 10 x 0.02778 x 0.5787
P = 0.16
Therefore, the probability of getting exactly 2 fours is 0.16
Answer: k = 59°
Steps:
180 - 77 = 103
103 + 18 + k = 180
121 + k = 180
k = 180 - 121
k = 59
Check:
103 + 18 + k = 180
103 + 18 + 59 = 180
180 = 180 ✅
She will have aprox. 40 pieces of ribbon
B) it would make more since because it how far you and how much time you meet again at the starting line
X - 3y=0
3y - 6 =2x
__________
x - 3y=0 ........(1)
-2x + 3y=6 ........(2)
__________
-x = 6 ==》x = -6 .........(3) subst. in (2)
-2 (-6) + 3y = 6 ==》3y= -6 ==》y = -2