Answer: it’s D
Step-by-step explanation: I just did it on edge
Answer:
N(2,3)
Step-by-step explanation:
According to the Question,
- Given that, In the triangle ABC. M is the midpoint of AB and N is the midpoint of CM And A(-1, 3), B(7-3) and C(1,6).
- Thus, For coordinates of N. first We have to find the Coordinate of M(x,y). As Given M is the Midpoint of A(-1, 3) and B(7-3).
Thus, M(x,y) = (-1+7)/2 , (3-3)/2 ⇒ M(3,0)
- Now, As Given, N(a,b) is the Midpoint Of C(1,6) and M(3,0).
Thus. N(a,b) = (1+3)/2 , (6+0)/2 ⇒ N(2,3)
Answer:
Correct option: A. P=0.057
Step-by-step explanation:
<u>Binomial Distribution</u>
The binomial distribution fits the case of n independent events each one with a probability of success equal to p where k successes have been achieved.
The PMF (Probability Mass Function) of the binomial distribution is
![\displaystyle P(k,n,p)=\binom{n}{k}p^kq^{n-k}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%28k%2Cn%2Cp%29%3D%5Cbinom%7Bn%7D%7Bk%7Dp%5Ekq%5E%7Bn-k%7D)
Where ![q = 1-p](https://tex.z-dn.net/?f=q%20%3D%201-p)
The individual probability that an electronic device does not function properly is p=0.1. We know n=10 devices have been bought and we want to compute the probability that 7 devices function properly. Please notice that this is not the value of k since p is the probability of failure. The correct value of k=10-7=3. The required probability is
![\displaystyle P(3,10,0.1)=\binom{10}{3}0.1^30.9^{10-3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20P%283%2C10%2C0.1%29%3D%5Cbinom%7B10%7D%7B3%7D0.1%5E30.9%5E%7B10-3%7D)
![\boxed{P=0.057}](https://tex.z-dn.net/?f=%5Cboxed%7BP%3D0.057%7D)
The answers are:
x = 13
y = -11