435+25x=875-15x where x is number of weeks
435+40x=875
40x=440
x=11
Final answer: 11 weeks
(6p-5)(5p+4) would be your answer...
Answer:
2x^2 – 5x – 3
Step-by-step explanation:
<u>Apply FOIL method: </u>
=x*2x+x*1+(-3)*2x+(-3)*1
<u>Apply minus-plus rules:</u>
=2xx+1*x-3*2x-3*1
Simplify:
=2x^2 – 5x – 3
Your Answer Is 2x^2 – 5x – 3
plz mark me as brainliest :)
I think B because you would have to divide by 5 to get y by itself.
Answer:
a}![P_1= 0.3](https://tex.z-dn.net/?f=P_1%3D%200.3)
b)![P_2 =0.45](https://tex.z-dn.net/?f=P_2%20%3D0.45)
c) NOT INDEPENDENT
Step-by-step explanation:
From the question we are told that
Sample space
Math majors are 3
computer science majors are 3
Generally the sample space is
Mathematically the sample space required on Monday is given as ![S_m= 3c_1 * 3C_2](https://tex.z-dn.net/?f=S_m%3D%203c_1%20%2A%203C_2)
where
=sample space on Monday
Therefore,
= ![\frac{3C_1 *3C_2}{6C_3}](https://tex.z-dn.net/?f=%5Cfrac%7B3C_1%20%2A3C_2%7D%7B6C_3%7D)
![P_1=\frac{3*3}{20}](https://tex.z-dn.net/?f=P_1%3D%5Cfrac%7B3%2A3%7D%7B20%7D)
![P_1=\frac{6}{20}](https://tex.z-dn.net/?f=P_1%3D%5Cfrac%7B6%7D%7B20%7D)
b)
Generally the the equation is given as
![P_2 =P(\frac{x \cap y}{y})](https://tex.z-dn.net/?f=P_2%20%3DP%28%5Cfrac%7Bx%20%5Ccap%20y%7D%7By%7D%29)
where
x is selecting two math major and 1 computer science major on Monday
y is at leas one math major selected
![P_2 =\frac{^3C_1*^3C_2}{^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}](https://tex.z-dn.net/?f=P_2%20%3D%5Cfrac%7B%5E3C_1%2A%5E3C_2%7D%7B%5E3C_1%2A%5E3C_2%20%2B%20%5E3C_2%2A%5E3C_1%20%2B%5E3C_3%2A%5E3C_0%7D)
![P_2 =\frac{3*3}{3*3 + 3*3 +^1*1}](https://tex.z-dn.net/?f=P_2%20%3D%5Cfrac%7B3%2A3%7D%7B3%2A3%20%2B%203%2A3%20%2B%5E1%2A1%7D)
c)
Generally in representing independent events
![P_3=p(x \cap y)](https://tex.z-dn.net/?f=P_3%3Dp%28x%20%5Ccap%20y%29)
=>![p(x) * p(y)](https://tex.z-dn.net/?f=p%28x%29%20%2A%20p%28y%29)
Mathematically
![n(x)= ^3C_1 *^3C_2](https://tex.z-dn.net/?f=n%28x%29%3D%20%5E3C_1%20%2A%5E3C_2)
![n(y)={^3C_1*^3C_2 + ^3C_2*^3C_1 +^3C_3*^3C_0}](https://tex.z-dn.net/?f=n%28y%29%3D%7B%5E3C_1%2A%5E3C_2%20%2B%20%5E3C_2%2A%5E3C_1%20%2B%5E3C_3%2A%5E3C_0%7D)
therefore
![n(x \cap y) =^3C_1 *^3C_2](https://tex.z-dn.net/?f=n%28x%20%5Ccap%20y%29%20%3D%5E3C_1%20%2A%5E3C_2)
This does not satisfy the two equations stated above therefore NOT INDEPENDENT