Answer:
It will take 22.5 minutes to complete 1 mile
Step-by-step explanation:
From the question,
The marching band walks 1/15 miles in 1.5 minutes
First we will determine the miles cover in 1 minute
If the marching band walks 1/15 miles in 1.5 minutes
then, they will cover 
miles in 1 minute
Then,
miles
∴ 2/45 miles are covered in 1 minute
Now,
If 2/45 miles are covered in 1 minute
Then, 1 mile will be covered in 
minute
∴ 
Hence, it will take 22.5 minutes to complete 1 mile
Answer:
a) Calculate the probability that at least one of them suffers from arachnophobia.
x = number of students suffering from arachnophobia
= P(x ≥ 1)
= 1 - P(x = 0)
= 1 - [0.05⁰ x (1 - 0.05)¹¹⁻⁰
]
= 1 - (0.95)¹¹
= 0.4311999 = 0.4312
b) Calculate the probability that exactly 2 of them suffer from arachnophobia? 0.08666
= P(x = 2)
= (¹¹₂) x (0.05)² x (0.95)⁹
where ¹¹₂ = 11! / (2!9!) = (11 x 10) / (2 x 1) = 55
= 55 x 0.0025 x 0.630249409 = 0.086659293 = 0.0867
c) Calculate the probability that at most 1 of them suffers from arachnophobia?
P(x ≤ 1)
= P(x = 0) + P(x = 1)
= [(¹¹₀) x 0.05⁰ x 0.95¹¹] + [(¹¹₁) x 0.05¹ x 0.95¹⁰]
= (1 x 1 x 0.5688) + (11 x 0.05 x 0.598736939) = 0.5688 + 0.3293 = 0.8981
She will have to add 3 more dollars so 3 more days
Answer:
Initial Fee is $2.
Step-by-step explanation:
Given:
Stops Price (dollars)
3 6.50
7 12.50
11 18.50
Also Given:
The price of a train ticket consists of an initial fee plus a constant fee per stop.
So let the Cost of initial fee be 'x'.
Also Let the Cost of Constant fee be 'y'.
Now Equation can framed as;
Now According to table;
Number of stops = 3
Price = 6.50
So equation can be framed as;
Also According to table;
Number of stops = 7
Price = 12.50
So equation can be framed as;
Now Subtracting equation 1 from equation 2 we get;
Substituting the value of y in equation 1 we get;
Hence Initial Fee is $2.
The ways the two rotten apple be selected in taking 3 apples from the bag, can be solve using fundamental counting principles.
P = 2 x 1 x 9
P = 18 ways
the first digit is 2 because there are 2 rotten apples. then next is 1 because only 1 apples is now left after you pick the first rotten apple. then next is 9 because there no rotten apple left and 9 apples were left
