Answer:
72
Step-by-step explanation:
6 x 4 = 24, 24 x 3 = 72
Hope this helps!
Answer:
I think it's 1 or A
Step-by-step explanation:
So you need to start with the standard form of a circle.
(x - h)^2 + (y - k)^2 = r^2 , where the center is at (h, k) with a radius of r
All points on the circle have a distance equal to the radius from the center of the circle. So you must use the center (1, 4) and the given point on the circle
(-2, 4) in order to find the radius. You can do this by using the distance formula r^2 = (x1 - x2)^2 + (y1 - y2)^2
r^2 = (1 - -2)^2 + (4 - 4)^2
r^2 = (3)^2 + (0)^2
r^2 = 9
The equation of a circle calls for r^2 so we do not need to find just r. Now we just substitute (h,k) and r^2 into the equation to get the standard form of the circle.
(x - 1)^2 + (y - 4)^2 = 9
Part 1 : Marlow wants to know how many students in his school enjoy watching the TV news. He asks all 27 students in his art class and finds that 30% of his classmates enjoy watching the TV news. He claims that 30% of the school's student population would be expected to enjoy watching the TV news. Is Marlow making a valid inference about his population?
No, it is not a valid inference because he asked all 27 students in his art class instead of taking a sample from the school
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
Yes, it is a valid inference because he asked all 27 students in his art class
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
Answer = The correct answer is <span>B because Marlow was supposed to ask random kids and they were not suppose to be in his class.
Part 2 : </span><span>Carl takes a random sample of 100 students in his school and finds that 72% of the sample prefers pizza over burgers. There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to prefer pizza over burgers? </span>
72
100
1,080
<span>1,500
</span>
<span>1500 / 100</span>×72<span>= 1080</span><span>
</span>
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