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%.
About A. 25 grams because glasses are really not heavy at all and the other options are way too illogical.
Hope this helps!
Answer:
23.87
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1- You must rewrite each value shown in the picture attached, in decimal form, as following:
6π-6=12.84
π^3=31
√99=9.94
2- Now, you can order the values from least to greatest:
√99
6π-6
π^3
The answer is:
√99
6π-6
π^3
The answer is A
You can solve this by equation the two equations, by substitution method or elimination. Let's choose the substitution since Equation 2 has already X isolated
-take the X in equation 2 and substitute in the first equation
So, You should have 5 (5-3/2 y) -4y =7
Get y ( I'll assume you know how to simplify and find y by yourself )
y=36/23
-Now take y and substitute it in the first equation or the second equation (it doesn't really matter)
Substituting y in Equation 2:
x=5- 3/2 (36/23)
=> x= 61/23
So answer is A where (x,y) is (61/23, 36/23)
