Assuming you pick 3 students at random, The probability that at least two plan on attending college is 84%.
<h3>Probability</h3>
Using Binomial Distribution
Given:
n = 3
p = 0.75
q = 1-0.95 = 0.25
Hence:
P[≥2] = P[2] + P[3]=(3c2 ×0.75²×0.25) + 0.75³
P[≥2] = P[2] + P[3]=0.421875+0.421875
P[≥2] = P[2] + P[3]=0.84375×100
P[≥2] = P[2] + P[3]=84% (Approximately)
Inconclusion the probability that at least two plan on attending college is 84%.
Learn more about probability here:brainly.com/question/24756209
We're looking for a scalar function
such that
. That is,
![\dfrac{\partial f}{\partial x}=2x-6y](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20x%7D%3D2x-6y)
![\dfrac{\partial f}{\partial y}=-6x+6y-7](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cpartial%20f%7D%7B%5Cpartial%20y%7D%3D-6x%2B6y-7)
Integrate the first equation with respect to
:
![f(x,y)=x^2-6xy+g(y)](https://tex.z-dn.net/?f=f%28x%2Cy%29%3Dx%5E2-6xy%2Bg%28y%29)
Differentiate with respect to
:
![-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7](https://tex.z-dn.net/?f=-6x%2B6y-7%3D-6x%2B%5Cdfrac%7B%5Cmathrm%20dg%7D%7B%5Cmathrm%20dy%7D%5Cimplies%5Cdfrac%7B%5Cmathrm%20dg%7D%7B%5Cmathrm%20dy%7D%3D6y-7)
Integrate with respect to
:
![g(y)=3y^2-7y+C](https://tex.z-dn.net/?f=g%28y%29%3D3y%5E2-7y%2BC)
So
is indeed conservative with the scalar potential function
![f(x,y)=x^2-6xy+3y^2-7y+C](https://tex.z-dn.net/?f=f%28x%2Cy%29%3Dx%5E2-6xy%2B3y%5E2-7y%2BC)
where
is an arbitrary constant.
Y = -1
It is an isosceles trapezoid, which is just as well, otherwise it could not reflect onto itself. The line of reflection is the same as the mirror line which is the same as the axis of symmetry.
It runs horizontally exactly through the middle of the shape.
All horizontal lines have the equation y = a value
In this case the line is <span>y=−<span>1</span></span>
Answer:
A. 18 3/4
Step-by-step explanation:
It is convenient to rearrange the sum to make it easier to compute:
7 3/4 + 4 3/4 + 6 1/4 = (7 3/4) +(4 +6) +(3/4 +1/4)
= 7 3/4 + 10 + 1
= 18 3/4
The farmer has 18 3/4 rows of radishes altogether.