Answer:
4y-x-3 = 0
Step-by-step explanation:
Slope = 0.500/2.000 = 0.250
x-intercept = 3/-1 = -3.00000
y-intercept = 3/4 = 0.75000
Answer:
The answer to your question is AC = 9.9
Step-by-step explanation:
To solve this problem use trigonometric functions. The trigonometric function that relates the hypotenuse and the adjacent side is cosine.
cos α = ![\frac{adjacent side}{hypotenuse}](https://tex.z-dn.net/?f=%5Cfrac%7Badjacent%20side%7D%7Bhypotenuse%7D)
Solve for hypotenuse
![hypotenuse = \frac{adjacent side}{cos\alpha }](https://tex.z-dn.net/?f=hypotenuse%20%3D%20%5Cfrac%7Badjacent%20side%7D%7Bcos%5Calpha%20%7D)
Substitution
hypotenuse = ![\frac{9}{cos 24}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7Bcos%2024%7D)
Simplification and result
hypotenuse = 9.85
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which:
is the sample proportion.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
The sample size and the estimate are given by:
![n = 600, \pi = \frac{400}{600} = 0.6667](https://tex.z-dn.net/?f=n%20%3D%20600%2C%20%5Cpi%20%3D%20%5Cfrac%7B400%7D%7B600%7D%20%3D%200.6667)
Hence, the bounds of the interval are given by:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 - 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6350](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.6667%20-%201.645%5Csqrt%7B%5Cfrac%7B0.6667%280.3333%29%7D%7B600%7D%7D%20%3D%200.6350)
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6667 + 1.645\sqrt{\frac{0.6667(0.3333)}{600}} = 0.6984](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D%20%3D%200.6667%20%2B%201.645%5Csqrt%7B%5Cfrac%7B0.6667%280.3333%29%7D%7B600%7D%7D%20%3D%200.6984)
The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
a) (0.17 ac)×(126 min/ac) = 21.42 min
b) I can mow 1/126 ac/min; you can mow 1/117 ac/min. Together, we can mow at a rate that is the sum of these:
... (1/126 + 1/117) ac/min = (117 + 126)/(126×117) = 243/14,742 ac/min
Then it will take 14,742/243 min/ac × 0.17 ac/lawn ≈ 10.31 min/lawn