Answer: 19 booooooooooiii
Answer:
y=2x+8
Step-by-step explanation:
Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.
(1,10) and (2,12)
To find the slope, we do:
![\frac{12 - 10}{2 - 1}](https://tex.z-dn.net/?f=%20%5Cfrac%7B12%20-%2010%7D%7B2%20-%201%7D%20)
Which equals to 2
So right now we can say that the equation is:
y=2x+b
In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:
10=2(1)+b
10=2+b
8=b
So now we can say that the equation is:
y=2x+8
You can get 3 refills.
First you subtract $4.50-$1.65 which equals $2.85. Then you find out how many times 95¢ can go into that. It goes in 3 times so you can get 3 refills.
Answer:
Option D) 340
Step-by-step explanation:
We are given the following in the question:
Alpha, α = 0.05
Population standard deviation, σ = $47
Margin of error = 5
95% Confidence Interval:
![\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Cmu%20%5Cpm%20z_%7Bcritical%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
![\text{Margin of error} = z_{critical}\frac{\sigma}{\sqrt{n}}](https://tex.z-dn.net/?f=%5Ctext%7BMargin%20of%20error%7D%20%3D%20z_%7Bcritical%7D%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D)
Putting the values, we get,
![z_{critical}\text{ at}~\alpha_{0.05} = 1.96](https://tex.z-dn.net/?f=z_%7Bcritical%7D%5Ctext%7B%20at%7D~%5Calpha_%7B0.05%7D%20%3D%201.96)
![5 = 1.96(\dfrac{47}{\sqrt{n}} )\\\\\sqrt{n} = \dfrac{47\times 1.96}{5}\\\\n = 339.443776\\\Rightarrow n \approx 340](https://tex.z-dn.net/?f=5%20%3D%201.96%28%5Cdfrac%7B47%7D%7B%5Csqrt%7Bn%7D%7D%20%29%5C%5C%5C%5C%5Csqrt%7Bn%7D%20%3D%20%5Cdfrac%7B47%5Ctimes%201.96%7D%7B5%7D%5C%5C%5C%5Cn%20%3D%20339.443776%5C%5C%5CRightarrow%20n%20%5Capprox%20340)
Thus, the correct answer is
Option D) 340
![T=xd+ym\\x(4)+y(100)=(120)\\x(1)+y(240)=(80)\\\\4x+960y=320\\4x+100y=120\\860y=200\\y=\frac{200}{860}\\y=\frac{10}{43}\\\\x+240(\frac{10}{43})=80\\x+\frac{2400}{43}=\frac{3440}{43}\\x=\frac{1040}{43}](https://tex.z-dn.net/?f=T%3Dxd%2Bym%5C%5Cx%284%29%2By%28100%29%3D%28120%29%5C%5Cx%281%29%2By%28240%29%3D%2880%29%5C%5C%5C%5C4x%2B960y%3D320%5C%5C4x%2B100y%3D120%5C%5C860y%3D200%5C%5Cy%3D%5Cfrac%7B200%7D%7B860%7D%5C%5Cy%3D%5Cfrac%7B10%7D%7B43%7D%5C%5C%5C%5Cx%2B240%28%5Cfrac%7B10%7D%7B43%7D%29%3D80%5C%5Cx%2B%5Cfrac%7B2400%7D%7B43%7D%3D%5Cfrac%7B3440%7D%7B43%7D%5C%5Cx%3D%5Cfrac%7B1040%7D%7B43%7D)
x = 1040/43 = $24.19 per day.
y = 10/43 = $0.23 per mile.