F(1) = 45
f(n) = f(n-1) * 4/5
Step-by-step explanation:
f(n) = 45 x (4/5)ⁿ⁻¹
f(1) = 45 x (4/5)¹⁻¹ = 45 x (4/5)⁰ = 45 x 1 = 45
f (n-1) = 45 x (4/5)ⁿ⁻¹⁻¹ = 45 x (4/5)ⁿ⁻²
f(n) = f(n-1) * (4/5)¹ = 45 x (4/5) ⁿ⁻²⁺¹ = 45 x (4/5)ⁿ⁻¹
Supplimentary angles add upto 180 degrees.
Given that angle P is three times angle Q-4 then ;
Let angle P be 3(x-4) = 3x -12
Let angle Q be x
Applying the rule of supplimentary angles;




Divide both sides by 4 to get value of x in degrees

x= 48 degrees
Angle Q = 48 degrees
Angle P = 3x-12 = (3*48)-12 = 132 degrees
Answer:
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Step-by-step explanation:
Answer:
Yes, this is a parallelogram
Step-by-step explanation:
Answer:
0.77 or 77%
Step-by-step explanation:
Given:
Percentage of brown peanuts = 12%
Percentage of yellow peanuts = 15%
Percentage of red peanuts = 12%
Percentage of blue peanuts = 23%
Percentage of orange peanuts = 23%
Percentage of green peanuts = 15%
Total = 0.12 + 0.15 + 0.12 + 0.23 + 0.23 + 0.15 = 1
Probability that a randomly selected peanut M&M is not orange:
P(orange)' = 1 - P(orange)
Where,
P(orange) = 23% = 0.23
Thus,
P(orange)' = 1 - 0.23
P(orange) ' = 0.77
Probability that a randomly selected peanut is not orange = 0.77