To get the answer we have to find number of towers.
If Arturo built 3 sandcastles with 6 towers each we can say that Arturo built
3*6=18 towers
If Paco built 5 sandcastles with 4 towers each we can say that Paco built
5*4=20 towers
20-18=2 - difference between Paco and Arturo
Answer:Arturo made more towers. The difference is 2.
Answer:
![(D)E[ X ] =np.](https://tex.z-dn.net/?f=%28D%29E%5B%20X%20%5D%20%3Dnp.)
Step-by-step explanation:
Given a binomial experiment with n trials and probability of success p,
Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:
Now,
Substituting,
Factoring out the n and one p from the above expression:
Representing k=x-1 in the above gives us:
This can then be written by the Binomial Formula as:
![E[ X ] = (np) (p +(1 - p))^{n -1 }= np.](https://tex.z-dn.net/?f=E%5B%20X%20%5D%20%3D%20%28np%29%20%28p%20%2B%281%20-%20p%29%29%5E%7Bn%20-1%20%7D%3D%20np.)
Answer: B
Step-by-step explanation:
Intersection of the 2 parts of the function is (0,0):
==> not A
the second part of the function is an half-line (and x =0)
Answer B
Answer:
The roots of the equation 2m²+3=m are non-real roots.
Step-by-step explanation:
Given equation:
2m²+3=m
2m²-m+3=0
Here, from the equation we can obtain the following values:
a = 2, b = -1, c = 3
Discriminant of an equation is given as:
D = b²-4ac
= (-1)²-4(2)(3)
= 1 - 21
= -20
Discriminant can tell what kinds of roots the equation have.
In our case, the discriminant is less than 0.
When D < 0, the roots of the equation are complex conjugates.(non-real)
Answer:
x = 107
Step-by-step explanation:
x and 107 are alternate interior angles and alternate interior angles are equal
so x= 107
