150/250! Hope this helps :D
![73=(\frac{9}{10}x)+19](https://tex.z-dn.net/?f=73%3D%28%5Cfrac%7B9%7D%7B10%7Dx%29%2B19)
To solve x:
1. Substract 19 in both sides of the equation:
![\begin{gathered} 73-19=(\frac{9}{10}x)+19-19 \\ \\ 54=\frac{9}{10}x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2073-19%3D%28%5Cfrac%7B9%7D%7B10%7Dx%29%2B19-19%20%5C%5C%20%20%5C%5C%2054%3D%5Cfrac%7B9%7D%7B10%7Dx%20%5Cend%7Bgathered%7D)
2. Multiply both sides of the ewuation by 10/9:
![\begin{gathered} 54\cdot\frac{10}{9}=\frac{9}{10}x\cdot\frac{10}{9} \\ \\ \frac{540}{9}=x \\ \\ 60=x \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2054%5Ccdot%5Cfrac%7B10%7D%7B9%7D%3D%5Cfrac%7B9%7D%7B10%7Dx%5Ccdot%5Cfrac%7B10%7D%7B9%7D%20%5C%5C%20%20%5C%5C%20%5Cfrac%7B540%7D%7B9%7D%3Dx%20%5C%5C%20%20%5C%5C%2060%3Dx%20%5Cend%7Bgathered%7D)
<h2>Then, the value of x is 60 (x=60)</h2>
X1,y1 = (-4,-2), x2, y2 = (9-2,-4)
could you check if 9-2 is actually correct, just I never seen it before
Answer:
c
Step-by-step explanation:
Answer:
c. 0.778 < p < 0.883.
Step-by-step explanation:
The formula for confidence interval for proportion =
p ± z score × √p(1 - p)/n
p = x/n
n = 195, x = 162
z score for 95% confidence Interval = 1.96
p = 162/195
p = 0.8307692308
p ≈ approximately equal to = 0.8308
0.8308 ± 1.96 × √0.8308 × (1 - 0.8308)/195
0.8308 ± 1.96 ×√0.8308 × 0.1692/195
0.8308 ± 1.96 × √0.0007208788
0.8308 ± 1.96 × 0.0268491862
0.8308 ± 0.052624405
Confidence Interval
= 0.8308 - 0.052624405
= 0.778175595
Approximately = 0.778
= 0.8308 + 0.052624405
= 0.883424405
Approximately = p
0.883
Therefore, the confidence interval for this proportion = (0.778, 0.883) or option c. 0.778 < p < 0.883