Answer:
$ 0.08 cents per foot
Step-by-step explanation:
add all of the numbers then subtract by 58.35 and divide by 300 and remove the negative
871,000 is the answer. It would've said the nearest ten thousand but you need to find the nearest "thousand". Try to be careful for these questions. They can be tricky.
Answer:
31-24x/2x-5
Step-by-step explanation:
multiply: (16-24x+15)/(2x-5)
calculate: (31-24x)/(2x-5)
write the division as a fraction: 31-24x/2x-5
Answer:
![P(X=10) = 0.1222](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%200.1222)
Step-by-step explanation:
Represent Green with G
So,
![G = 50\%](https://tex.z-dn.net/?f=G%20%3D%2050%5C%25)
Required
Determine the probability that 10 out of 16 prefer green
This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.
![P(X=x) = ^nC_xG^x(1-G)^{n-x}](https://tex.z-dn.net/?f=P%28X%3Dx%29%20%20%3D%20%5EnC_xG%5Ex%281-G%29%5E%7Bn-x%7D)
In this case:
-- number of people
-- those that prefer green
So, the expression becomes:
![P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5E%7B16%7DC_%7B10%7DG%5E%7B10%7D%281-G%29%5E%7B16-10%7D)
![P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5E%7B16%7DC_%7B10%7DG%5E%7B10%7D%281-G%29%5E%7B6%7D)
Substitute 50% for G (Express as decimal)
![P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5E%7B16%7DC_%7B10%7D%2A0.50%5E%7B10%7D%2A%281-0.50%29%5E%7B6%7D)
![P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5E%7B16%7DC_%7B10%7D%2A0.50%5E%7B10%7D%2A0.50%5E%7B6%7D)
Apply law of indices
![P(X=10) = ^{16}C_{10}*0.50^{10+6](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5E%7B16%7DC_%7B10%7D%2A0.50%5E%7B10%2B6)
![P(X=10) = ^{16}C_{10}*0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5E%7B16%7DC_%7B10%7D%2A0.50%5E%7B16)
Solve 16C10
![P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5Cfrac%7B16%21%7D%7B%2816-10%29%2110%21%7D%20%2A0.50%5E%7B16)
![P(X=10) = \frac{16!}{6!10!} *0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5Cfrac%7B16%21%7D%7B6%2110%21%7D%20%2A0.50%5E%7B16)
![P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5Cfrac%7B16%2A15%2A14%2A13%2A12%2A11%2A10%21%7D%7B6%2110%21%7D%20%2A0.50%5E%7B16)
![P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5Cfrac%7B16%2A15%2A14%2A13%2A12%2A11%7D%7B6%21%7D%20%2A0.50%5E%7B16)
![P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5Cfrac%7B16%2A15%2A14%2A13%2A12%2A11%7D%7B6%2A5%2A4%2A3%2A2%2A1%7D%20%2A%200.50%5E%7B16)
![P(X=10) = \frac{5765760}{720} * 0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%20%5Cfrac%7B5765760%7D%7B720%7D%20%2A%200.50%5E%7B16)
![P(X=10) = 8008 * 0.50^{16](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%208008%20%2A%200.50%5E%7B16)
![P(X=10) = 8008 * 0.00001525878](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%208008%20%2A%200.00001525878)
![P(X=10) = 0.12219231024](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%200.12219231024)
![P(X=10) = 0.1222](https://tex.z-dn.net/?f=P%28X%3D10%29%20%20%3D%200.1222)
<em>Hence, the required probability is 0.1222</em>
Answer:
x= 12 y= -3
Step-by-step explanation:
Rearrange.
x+y=9
x-y=15
Get x by itself, cancel out the y's and you'll get this:
2x=24
x= 12
Plug it in.
12+y=9
Get y.
y= -3
Check your work. I hope this helped.