Answer:

Step-by-step explanation:
Given

Required
Determine the formula
First, we need to solve common difference (d)

Take n as 2



Represent each function as a sum of the previous





Represent the function as 

Reorder

Exact Form: 21√6
Decimal Form: 51.43928459
Hope this helps! :)
The probability of winning exactly 21 times is:-0.32
Given,
The probability of winning on an arcade game, p = 0.659
Number of times you play arcade game, n = 30
By assuming this as a normal distribution, we get
Mean=μ=30×0.659 =19.77
Standard deviation, σ = 
= 
≈ 2.60
Let X be a binomial variable
Then, the z score for x = 21 will be:
z = (x - μ) / σ = 
≈ 0.47
Now, the probability of winning exactly 21 times
P (x ≥ z) = P (21 ≥ 0.47) = 0.32
Hence the probability of winning exactly 21 times is 0.32
Learn more about probability here:-brainly.com/question/13067945
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Answer:
On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.
Step-by-step explanation:
Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline
then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline
Given that, non hybrid car travel, x = 33 miles per gallon
Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon
On 1 gallon of gasoline hybrid car travel= 45 miles
On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles
On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.