Answer:
C) 
Step-by-step explanation:

Therefore, C is correct. Recall that 
Answer:
P(X = 12) = 0.0064.
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
In this problem we have that:

We want P(X = 12). So


P(X = 12) = 0.0064.
Answer:
0.001
Step-by-step explanation:
Ericsson is claimed to increase the likelihood of a baby girl ;
Given the alternative hypothesis to buttress this claim :
HA : p>0.5
In other to establish the success of Ericsson's claim, then there must be significant evidence to reject the Null hypothesis ; hence adopt the alternative.
To Do this, we need a very small Pvalue ; such that it will be lesser than the α - value in other to reject the Null and adopt the alternative.
Recall ;
Pvalue < α ; We reject the Null
Therefore, from the options, we choose the smallest Pvalue as we want the Pvalue to be as small as possible.
the area of the surface of this design is 31 in long
Answer:
The center is (0,0) and the radius is 3
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2+(y-k)^2 = r^2
Where (h,k) is the center and r is the radius
(x-0)^2+(y-0)^2 = 3^2
The center is (0,0) and the radius is 3