Answer: 4
Step-by-step explanation:
For any binomial variable X having parameters n (total number of trials ) and p (probability of getting success in each event), the standard deviation is given by :-
![\sigma=\sqrt{np(1-p)}](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7Bnp%281-p%29%7D)
As per given , we have
n= 100 , p= 20%=0.20
Then, the standard deviation of this binomial distribution is :
![\sigma=\sqrt{100(0.20)(1-0.20)}\\\\=\sqrt{100(0.16)}=4](https://tex.z-dn.net/?f=%5Csigma%3D%5Csqrt%7B100%280.20%29%281-0.20%29%7D%5C%5C%5C%5C%3D%5Csqrt%7B100%280.16%29%7D%3D4)
Hence, the standard deviation of this binomial distribution is <u>4</u>.
The answers are pi and pi/2. To solve for it you must put it on one side and make it equal to zero.
Sorry I can’t find the pi symbol on my keyboard
Answer:
![A = w^2 + 38w + 352](https://tex.z-dn.net/?f=A%20%3D%20w%5E2%20%2B%2038w%20%2B%20352)
Step-by-step explanation:
<u>Area of a Rectangle</u>
Given L as the length of a rectangle and W as its width, the area is calculated as:
A = L.W
Bob's swimming pool has L = w + 14 and a width of W = w + 8. Additionally, there is a walkway around the pool 4 feet wide. This walkway adds 2*4=8 to each dimension, thus: L = w + 22, W = w + 16.
Calculating the area:
A = (w + 22)(w + 16)
Operating:
![A = w^2 + 38w + 352](https://tex.z-dn.net/?f=A%20%3D%20w%5E2%20%2B%2038w%20%2B%20352)
Answer: 60° angle
Step-by-step explanation: AGD is a 90° angle, therefore, subtracting 30 from the 90 degrees gives you 60. As x is vertical to the 60 degree angle and verticals have the same degree measurement, x=60°.