Answer:
miles
Step-by-step explanation:
We are given that
![\beta=10000 miles](https://tex.z-dn.net/?f=%5Cbeta%3D10000%20miles)
Exponential distribution function
![f(x)=\frac{1}{\beta}e^{-\frac{x}{\beta}}, x\geq 0](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B%5Cbeta%7De%5E%7B-%5Cfrac%7Bx%7D%7B%5Cbeta%7D%7D%2C%20x%5Cgeq%200)
0, otherwise
Using the formula
![f(x)=\frac{1}{10000}e^{-\frac{x}{10000}},x\geq0](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B1%7D%7B10000%7De%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7D%2Cx%5Cgeq0)
0, otherwise
![E(x)=\int_{-\infty}^{\infty}xf(x) dx](https://tex.z-dn.net/?f=E%28x%29%3D%5Cint_%7B-%5Cinfty%7D%5E%7B%5Cinfty%7Dxf%28x%29%20dx)
Using the formula
![\lambda=E(x)=\frac{1}{10000}\int_{0}^{\infty}xe^{-\frac{x}{10000}}dx](https://tex.z-dn.net/?f=%5Clambda%3DE%28x%29%3D%5Cfrac%7B1%7D%7B10000%7D%5Cint_%7B0%7D%5E%7B%5Cinfty%7Dxe%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7Ddx)
![\lambda=\frac{1}{10000}([-10000xe^{-\frac{x}{10000}}]^{\infty}_{0}+10000[-10000e^{-\frac{x}{10000}}]^{\infty}_{0})](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B1%7D%7B10000%7D%28%5B-10000xe%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7D%5D%5E%7B%5Cinfty%7D_%7B0%7D%2B10000%5B-10000e%5E%7B-%5Cfrac%7Bx%7D%7B10000%7D%7D%5D%5E%7B%5Cinfty%7D_%7B0%7D%29)
Using formula
![\int u\cdot vdx=u\int vdx-\int (\frac{du}{dx}\int vdx)dx](https://tex.z-dn.net/?f=%5Cint%20u%5Ccdot%20vdx%3Du%5Cint%20vdx-%5Cint%20%28%5Cfrac%7Bdu%7D%7Bdx%7D%5Cint%20vdx%29dx)
![\lambda=\frac{1}{10000}(0-(10000)^2(0-1))=10000](https://tex.z-dn.net/?f=%5Clambda%3D%5Cfrac%7B1%7D%7B10000%7D%280-%2810000%29%5E2%280-1%29%29%3D10000)
Hence, the value of
miles
Answer:
i think your answer is 4
Step-by-step explanation:
please mark brainlyiest
Answer:
B. ![y=\dfrac{9}{2}x+5](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B9%7D%7B2%7Dx%2B5)
Step-by-step explanation:
The equation of the line in the slope-intercept form is
![y=mx+b.](https://tex.z-dn.net/?f=y%3Dmx%2Bb.)
First, find the slope of the line:
![m=\dfrac{23-14}{4-2}=\dfrac{9}{2}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B23-14%7D%7B4-2%7D%3D%5Cdfrac%7B9%7D%7B2%7D)
Now, find the y-intecept b:
![y=\dfrac{9}{2}x+b\\ \\14=\dfrac{9}{2}\cdot 2+b\\ \\14=9+b\\ \\b=14-9\\ \\b=5](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B9%7D%7B2%7Dx%2Bb%5C%5C%20%5C%5C14%3D%5Cdfrac%7B9%7D%7B2%7D%5Ccdot%202%2Bb%5C%5C%20%5C%5C14%3D9%2Bb%5C%5C%20%5C%5Cb%3D14-9%5C%5C%20%5C%5Cb%3D5)
Hence, the equaiton is
![y=\dfrac{9}{2}x+5](https://tex.z-dn.net/?f=y%3D%5Cdfrac%7B9%7D%7B2%7Dx%2B5)
Check all points:
![(2,14):\ \ \dfrac{9}{2}\cdot 2+5=9+5=14\\ \\(4,23):\ \ \dfrac{9}{2}\cdot 4+5=18+5=23\\ \\(6,32):\ \ \dfrac{9}{2}\cdot 6+5=27+5=32\\ \\(8,41):\ \ \dfrac{9}{2}\cdot 8+5=36+5=41](https://tex.z-dn.net/?f=%282%2C14%29%3A%5C%20%5C%20%5Cdfrac%7B9%7D%7B2%7D%5Ccdot%202%2B5%3D9%2B5%3D14%5C%5C%20%5C%5C%284%2C23%29%3A%5C%20%5C%20%5Cdfrac%7B9%7D%7B2%7D%5Ccdot%204%2B5%3D18%2B5%3D23%5C%5C%20%5C%5C%286%2C32%29%3A%5C%20%5C%20%5Cdfrac%7B9%7D%7B2%7D%5Ccdot%206%2B5%3D27%2B5%3D32%5C%5C%20%5C%5C%288%2C41%29%3A%5C%20%5C%20%5Cdfrac%7B9%7D%7B2%7D%5Ccdot%208%2B5%3D36%2B5%3D41)
The answer to this question is that Joanna used 2 kiwis in each fruit cup. We can work this out in the following way:
5 x 5 = 25
8 x 4 = 32
3 x 5 = 15
40 - 32 = 8
15+25 = 40
BEST estimate of this amount is
. Correct option A. 2 x 10^7 .
<u>Step-by-step explanation:</u>
Here we have , Hoover Dam spans the Colorado River on the Nevada-Arizona state line. For its construction, the federal government purchased 21,670,000 pounds of gates and valves. We need to find BEST estimate of this amount . Let's find out:
21,670,000 pounds
⇒ 21,670,000 pounds
⇒ ![21,670,000](https://tex.z-dn.net/?f=21%2C670%2C000)
⇒ ![2167(10^{4})](https://tex.z-dn.net/?f=2167%2810%5E%7B4%7D%29)
⇒ ![2.167(10^{3})(10^{4})](https://tex.z-dn.net/?f=2.167%2810%5E%7B3%7D%29%2810%5E%7B4%7D%29)
⇒ ![2.167(10^{3+4})](https://tex.z-dn.net/?f=2.167%2810%5E%7B3%2B4%7D%29)
⇒ ![2.167(10^{7})](https://tex.z-dn.net/?f=2.167%2810%5E%7B7%7D%29)
Now, Rounding of 2.167 we get 2 ,So
⇒ ![2(10^{7})](https://tex.z-dn.net/?f=2%2810%5E%7B7%7D%29)
Hence , BEST estimate of this amount is
. Correct option A. 2 x 10^7 .