Answer:
24/100 x 25 =6
Step-by-step explanation:
The amount of trash in tons that was already in the landfill originally (y-intercept)
Answer:
Equation: 5x = 90
x = 18
<LNM = 54degrees
Step-by-step explanation:
From the diagram shown;
<JNK + <KNL + <LNM = 90
x + x + 3x = 90
5x = 90
x = 90/5
x = 18
The equation 5x = 90 can be used to solve for x
Get <LNM = 3x
<LNM = 3(18)
<LNM = 54 degrees
Answer: A (#26)
Step-by-step explanation:
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