3x + 4y + 3z = 5
2x + 2y + 3z = 5
5x + 6y + 7z = 7
<=> 3( 3x + 4y + 3z) = 5.3
6( 2x + 2y + 3z) = 5.6
2( 5x + 6y + 7z ) = 7.2
<=> 9x + 12y + 9z = 15 (1)
12x + 12y + 18z=30 (2)
10x + 12y + 14z = 14 (3)
<=> 3x +9z =15 [ (2) - (1) ]
2x + 4z = 16. [ (2) - (1) ]
<=> 2(3x +9z) = 15.2
3(2x + 4z) = 16.3
<=> 6x+ 18z = 30
6x + 12z = 48
<=> 6z = - 18 => z = -3 and 6x + 18z = 30 so x = [30 - 18.(-3) ] : 6 = 14
We have 2x + 2y + 3z =5 => 2.14 + 2y + 3.(-3) = 5 ==> y = -7
The answer is x = 14, y = -7, z = -3
Answer:
is there a picture of the question
Find the interest: I=prt. I=2000(.18)(.25). I=360(.25). I=90. Add the interest to how much you previously owed: 2000+90=2090. You now owe $2,090 :)
Answer: 0.9972
Step-by-step explanation:
Given : The proportion of Americans believe that texting while driving should be outlawed : p= 0.97
Sample size : n= 10
Using Binomial distribution , the probability of getting success in x trials is given by:-
, where p is probability of success in each trial and n is sample size.
Then, the probability that at least 8 say that they believe texting while driving should be outlawed will be :_
![P(x\geq8)=P(8)+P(9)+P(10)\\\\=^{10}C_{8}(0.97)^8(0.03)^2+^{10}C_{9}(0.97)^9(0.03)^1+^{10}C_{10}(0.97)^{10}(0.03)^0\\\\=\dfrac{10!}{8!2!}(0.97)^8(0.03)^2+(10)(0.97)^{9}(0.03)+(0.97)^{10}\ \ \because\ ^nC_{n-1}=n\ \&\ ^nC_{n}=1\\\\=0.997235050549\approx0.9972](https://tex.z-dn.net/?f=P%28x%5Cgeq8%29%3DP%288%29%2BP%289%29%2BP%2810%29%5C%5C%5C%5C%3D%5E%7B10%7DC_%7B8%7D%280.97%29%5E8%280.03%29%5E2%2B%5E%7B10%7DC_%7B9%7D%280.97%29%5E9%280.03%29%5E1%2B%5E%7B10%7DC_%7B10%7D%280.97%29%5E%7B10%7D%280.03%29%5E0%5C%5C%5C%5C%3D%5Cdfrac%7B10%21%7D%7B8%212%21%7D%280.97%29%5E8%280.03%29%5E2%2B%2810%29%280.97%29%5E%7B9%7D%280.03%29%2B%280.97%29%5E%7B10%7D%5C%20%5C%20%5Cbecause%5C%20%5EnC_%7Bn-1%7D%3Dn%5C%20%5C%26%5C%20%5EnC_%7Bn%7D%3D1%5C%5C%5C%5C%3D0.997235050549%5Capprox0.9972)
Hence, the required probability = 0.9972