Answer:
9.62 x 10⁻⁵
Step-by-step explanation:
57 / 592346 = 0.0000962275
Scientific notation: We moved the decimal 5 times to the right, and in order to put the number back in standard form, we have to move the decimal 5 times to the left. So the scientific way of saying this is 9.62 x 10⁻⁵
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:
No solution
Option 4 is correct
Step-by-step explanation:
Given: The system of inequality


We need to choose correct option.
Option 1: (-5,2)
Put x=-5 and y=2
Equation 1 Equation 2


TRUE FALSE
Option 2: (2,2)
Put x=2 and y=2
Equation 1 Equation 2


FALSE FALSE
Option 3: (5,2)
Put x=-5 and y=2
Equation 1 Equation 2


FALSE TRUE
Option 1, 2 and 3 are incorrect because both equation must be true for solution.
Hence, Option 4 is correct no solution.
What is the length of a soccer field.