Using binomial distribution where success is the appearing of any of the top 10 most common names, thus probability of success (p) is 9.6% = 0.096 and the probability of failure = 1 - 0.096 = 0.904. Number of trials is 11.
Binomial distribution probability is given by P(x) = nCx (p)^x (q)^(n - x)
Probability that none of the top 10 most common names appears is P(0) = 11C0 (0.096)^0 (0.904)^(11 - 0) = (0.904)^11 = 0.3295
Thus, the probability that at least one of the 10 most common names appear is 1 - 0.3295 = 0.6705
Therefore, I will be supprised that none of the names of the authors were among the 10 most common names given that the probability that at least one of the names appear is 67%.
Answer:
y=-15
Step-by-step explanation:
The amount of days would be the independent variable and the ripeness of the fruit would be the dependent variable
Answer:
There are 199 pairs of consecutive natural numbers whose product is less than 40000.
Step-by-step explanation:
We notice that such statement can be translated into this inequation:

Now we solve this inequation to the highest value of
that satisfy the inequation:


The Quadratic Formula shows that roots are:






Only the first root is valid source to determine the highest possible value of
, which is
. Each natural number represents an element itself and each pair represents an element as a function of the lowest consecutive natural number. Hence, there are 199 pairs of consecutive natural numbers whose product is less than 40000.
y = -2/3x -3
x=0 y=-3 point (0,-3) over 0 down 3
x=3 y=-2/3(3) -3 =-2-3 =-5 (3,-5) go to the right 3 down 5