Answer:
x = 9.5
Step-by-step explanation:
You just divide both sides by 7:
7k/7 = 77/7
k = 77/7
k = 11
Final answer: k = 11
Answer:
The distance between foci is 60 feet
Step-by-step explanation:
we are given
a pond has a major axis of 68 feet
so, 
a minor axis of 32 feet
so, 
now, we know ellipse formula

where
c is the distance between center and focus
so, we can plug it and find c


Distance between foci is



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