Answer:
the answer is 5 1/9 inches per month (answer)
Step-by-step explanation:
Answer:
Sum of the three angles of a triangle is 180°(∠A+∠B+∠C=180°)
∠A+∠B+∠C = 110°+25°+x = 180°
<=> 135°+x=180°
<=>x=180°-135°=45°
The standard error (SE) of the sampling distribution difference between two proportions is given by:
![SE=\sqrt{p(1-p)\left(\frac{1}{n_1}+\frac{1}{n_2}\right)}](https://tex.z-dn.net/?f=SE%3D%5Csqrt%7Bp%281-p%29%5Cleft%28%5Cfrac%7B1%7D%7Bn_1%7D%2B%5Cfrac%7B1%7D%7Bn_2%7D%5Cright%29%7D)
where p is the pooled sample proportion,
![n_1](https://tex.z-dn.net/?f=n_1)
<span> is the size of sample 1, and
![n_2](https://tex.z-dn.net/?f=n_%3C%2Fspan%3E2)
<span> is the size of sample 2.
</span>
![p= \frac{p_1n_1+p_2n_2}{n_1+n_2}](https://tex.z-dn.net/?f=p%3D%20%5Cfrac%7Bp_1n_1%2Bp_2n_2%7D%7Bn_1%2Bn_2%7D%20)
<span>
Given that a</span><span>t one vehicle inspection station, 13 of 52 trucks and 11 of 88 cars failed the emissions test.
</span>
![p_1= \frac{13}{52} =0.25 \\ \\ p_2= \frac{11}{88} =0.125 \\ \\ n_1=52 \\ \\ n_2=88 \\ \\ p= \frac{0.25(52)+0.125(88)}{52+88} \\ \\ = \frac{13+11}{140} = \frac{24}{140} =0.1714](https://tex.z-dn.net/?f=p_1%3D%20%5Cfrac%7B13%7D%7B52%7D%20%3D0.25%20%5C%5C%20%20%5C%5C%20p_2%3D%20%5Cfrac%7B11%7D%7B88%7D%20%3D0.125%20%5C%5C%20%20%5C%5C%20n_1%3D52%20%5C%5C%20%20%5C%5C%20n_2%3D88%20%5C%5C%20%20%5C%5C%20p%3D%20%5Cfrac%7B0.25%2852%29%2B0.125%2888%29%7D%7B52%2B88%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Cfrac%7B13%2B11%7D%7B140%7D%20%3D%20%5Cfrac%7B24%7D%7B140%7D%20%3D0.1714)
<span>
</span>
![SE=\sqrt{0.1714(1-0.1714)\left(\frac{1}{52}+\frac{1}{88}\right)} \\ \\ = \sqrt{0.1714(0.8286)(0.0192+0.0114)} \\ \\ = \sqrt{0.1714(0.8386)(0.0306)} = \sqrt{0.0044} \\ \\ =0.0663](https://tex.z-dn.net/?f=SE%3D%5Csqrt%7B0.1714%281-0.1714%29%5Cleft%28%5Cfrac%7B1%7D%7B52%7D%2B%5Cfrac%7B1%7D%7B88%7D%5Cright%29%7D%20%5C%5C%20%20%5C%5C%20%3D%20%5Csqrt%7B0.1714%280.8286%29%280.0192%2B0.0114%29%7D%20%20%5C%5C%20%20%5C%5C%20%3D%20%5Csqrt%7B0.1714%280.8386%29%280.0306%29%7D%20%3D%20%5Csqrt%7B0.0044%7D%20%20%5C%5C%20%20%5C%5C%20%3D0.0663)
<span>
</span>
</span>