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:
First picture: -4,913
Second picture: 20.25
Step-by-step explanation:
-17^5/-17^2 = -17^3
-17 × -17 × -17 = -4913
4.5^5/4.5^3 = 4.5^2
4.5 × 4.5 = 20.25
Do you see how I had the same whole number on the top and bottom? (17 was on top and 17 was on bottom)
The exponents were those tiny numbers you saw.
Whenever you are dividing by the same whole number (-17/-17), you can subtract exponents.
When you multiply the same whole number, you can add the exponents.
Hope this helps! Best of luck :)
You would want to sell the bag of candy in ounces, unless you have way too much candy.
I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.
You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.
hope I helped ^^
Answer: 35/3 or 11.6
Step-by-step explanation:
3x-7=28
Add 7 to each side
3x=35
Divide by 3
