I am guessing vectors :)
(-17, 9)
or in polar form
√370, -27°53'50"
Answer: 6,640 homes
Step-by-step explanation:
Population of homes that had bibles before the gift was 8000 homes
83% of 8000 homes now has bibles= 83/100 × 8000= 6640
Additional, 6640 homes now has bible after the gift
Answer:
0.1091 or 10.91%
Step-by-step explanation:
We have been given that a particular telephone number is used to receive both voice calls and fax messages. suppose that 20% of the incoming calls involve fax messages and consider a sample of 20 calls. We are asked to find the probability that exactly 6 of the calls involve a fax message.
We will use Bernoulli's trials to solve our given problem.
![P(X=x)=^nC_x\cdot P^x(1-P)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%3D%5EnC_x%5Ccdot%20P%5Ex%281-P%29%5E%7Bn-x%7D)
![P(X=6)=^{20}C_6\cdot (0.20)^6(1-0.20)^{20-6}](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%5E%7B20%7DC_6%5Ccdot%20%280.20%29%5E6%281-0.20%29%5E%7B20-6%7D)
![P(X=6)=\frac{20!}{6!(20-6)!}\cdot (0.20)^6(0.80)^{14}](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%5Cfrac%7B20%21%7D%7B6%21%2820-6%29%21%7D%5Ccdot%20%280.20%29%5E6%280.80%29%5E%7B14%7D)
![P(X=6)=\frac{20!}{6!(14)!}\cdot (0.000064)(0.04398046511104)](https://tex.z-dn.net/?f=P%28X%3D6%29%3D%5Cfrac%7B20%21%7D%7B6%21%2814%29%21%7D%5Ccdot%20%280.000064%29%280.04398046511104%29)
![P(X=6)=38760\cdot (0.000064)(0.04398046511104)](https://tex.z-dn.net/?f=P%28X%3D6%29%3D38760%5Ccdot%20%280.000064%29%280.04398046511104%29)
![P(X=6)=0.1090997009730](https://tex.z-dn.net/?f=P%28X%3D6%29%3D0.1090997009730)
![P(X=6)\approx 0.1091\\](https://tex.z-dn.net/?f=P%28X%3D6%29%5Capprox%200.1091%5C%5C)
Therefore, the probability that exactly 6 of the calls involve a fax message would be approximately 0.1091 or 10.91%.
Answer:
C {14,47,50}
Step-by-step explanation:
For it to be a right triangle it would have to be {14,48,50}
Hope this helps
Answer:
a. {(0, 7), (-1, 6)}
Step-by-step explanation:
![y = x^{2} +2x+7\\y=x+7](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%20%2B2x%2B7%5C%5Cy%3Dx%2B7)
subtract the equations
![y = x^{2} +2x+7 \\- \ \ \ \ \ y=x+7\\y - y =x^{2} +2x+7-(x+7)\\0=x^{2} +x\\x = 0 \ and \ x= -1](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%20%2B2x%2B7%20%5C%5C-%20%20%20%20%20%20%20%5C%20%5C%20%5C%20%5C%20%5C%20%20y%3Dx%2B7%5C%5Cy%20-%20y%20%3Dx%5E%7B2%7D%20%2B2x%2B7-%28x%2B7%29%5C%5C0%3Dx%5E%7B2%7D%20%2Bx%5C%5Cx%20%3D%200%20%5C%20and%20%5C%20x%3D%20-1)
for
, substitute x = 0
![y = (0)^{2} +2(0)+7\\y = 0 +0+7\\y=7](https://tex.z-dn.net/?f=y%20%3D%20%280%29%5E%7B2%7D%20%2B2%280%29%2B7%5C%5Cy%20%3D%200%20%2B0%2B7%5C%5Cy%3D7)
for
, substitute x = 0
![y = (-1)^{2} +2(-1)+7\\y = 1 -2+7\\y=6](https://tex.z-dn.net/?f=y%20%3D%20%28-1%29%5E%7B2%7D%20%2B2%28-1%29%2B7%5C%5Cy%20%3D%201%20-2%2B7%5C%5Cy%3D6)