The binomial distribution is given by,
P(X=x) =

q = probability of failure = 1-0.2 = 0.8
n = 100
They have asked to find the probability <span>of obtaining a score less than or equal to 12.
</span>∴ P(X≤12) =

where, x = 0,1,2,3,4,5,6,7,8,9,10,11,12
∴ P(X≤12) =

+

+

+

+

+

+

Evaluating each term and adding them you will get,
P(X≤12) = 0.02532833572
This is the required probability.
Answer:
Number of stickers Sarah had = 28
Number of stickers she put on her binder = x.
Number of stickers left with her = 28 - x
Number of stickers Haylee had = 40
Number of stickers she put on her locker = 3x
Number of stickers left with her = 40 - 3x
Both Sarah and Haylee had the same number of stickers left.
28 - x = 40 - 3x
=> 3x - x = 40 - 28
=> 2x = 12
=> x = = 6
Step-by-step explanation:
Answer:
3.14
Step-by-step explanation:
radius*pi
Answer:

20 gallons of water is leaked after an hour.
Step-by-step explanation:
Water is leaking at a constant rate of 1/3 gallon per minute.
a) We have to write a linear equation in two variables that show the amount of water, w, in gallons, that is leaked from the faucet after t minutes.
So, the equation is
......... (1) (Answer)
b) Now, if t = 1 hour i.e. 60 minutes, then from equation (1) we can write
gallons.
Therefore, 20 gallons of water is leaked after an hour. (Answer)
Answer:
it is 7.
Step-by-step explanation:
77 divided by 11=7