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:
There are no solutions
Step-by-step explanation:
Because the lines are parallel, they will never meet, meaning there are no solutions to this system of equations
4/6 = 0,66
So, Tim can mow 0,66 lawns in 1 hours.
Control:
0,66 lawns x 6 hours = 4 lawns
Answer: Growth factor will be 0.15 and percent increase will be 15%.
Step-by-step explanation:
Since we have given that
the exponential growth function

1) We need to find the growth factor :
As we know the formula for "Compound Interest ":

If we compare the formula with our given equation, we get

So, the growth factor is at the rate of 0.15.
2) Percent increase will be

Hence, growth factor will be 0.15 and percent increase will be 15%.
Answer:
54.9
Step-by-step explanation:
You always round up if its 0.5 or anything .5
54.58 broken down:
The 5 is the Tens place
The 4 is the Ones place
The 8 is the Tenth place (what the question is asking for)
The 5 is the Hundredths place.
:) Hope this helps! Please mark brainliest! :)