Life hack: if you own a TI-84 graphing calculator you can just input that into the calculator on the graphing part and then you see which equation’s graph matches the graph you were given in the problem.
Answer:
11/9
Step-by-step explanation:
The answer is abd with 170. you gotta set all those angles sum as 540 wich is the sum of the angles for a pentagon. if you do that and solve for x=28 plug 28 in for 6x+2 you end up with 170
Answer:
The probability that the sample proportion is more than 0.35 believe movie trailers reveal too much is 0.1539.
Step-by-step explanation:
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
![\mu_{\hat p}=p](https://tex.z-dn.net/?f=%5Cmu_%7B%5Chat%20p%7D%3Dp)
The standard deviation of this sampling distribution of sample proportion is:
![\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}](https://tex.z-dn.net/?f=%5Csigma_%7B%5Chat%20p%7D%3D%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D)
The information provided is:
<em>p</em> = 0.32
<em>n</em> = 250
Since the sample size is quite large, i.e. <em>n</em> = 250 > 30, the central limit theorem can be used to approximate the sampling distribution of sample proportion by a Normal distribution.
Compute the probability that the sample proportion is more than 0.35 believe movie trailers reveal too much as follows:
![P(\hat p>0.35)=P(\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}>\frac{0.35-0.32}{\sqrt{\frac{0.32(1-0.32)}{250}}})](https://tex.z-dn.net/?f=P%28%5Chat%20p%3E0.35%29%3DP%28%5Cfrac%7B%5Chat%20p-%5Cmu_%7B%5Chat%20p%7D%7D%7B%5Csigma_%7B%5Chat%20p%7D%7D%3E%5Cfrac%7B0.35-0.32%7D%7B%5Csqrt%7B%5Cfrac%7B0.32%281-0.32%29%7D%7B250%7D%7D%7D%29)
![=P(Z>1.02)\\=1-P(Z](https://tex.z-dn.net/?f=%3DP%28Z%3E1.02%29%5C%5C%3D1-P%28Z%3C1.02%29%5C%5C%3D1-0.84614%5C%5C%3D0.15386%5C%5C%5Capprox%200.1539)
Thus, the probability that the sample proportion is more than 0.35 believe movie trailers reveal too much is 0.1539.
For simplicity sake, let's call Train A "A" and Train B "B".
A + B = 192
A > B
A - B = 120
192 ÷ 2 = 96
96 ± 120 ÷ 2 = 96 ± 60 = 156, 36
Train A weighs 156 tons and Train B weighs 36 tons :)