Andy: $45
Ben: $33
Cathy: $99
a+b+c=177
c=3b
a=b+12
b+12+b+3b=177
5b+12=177
-12 -12
-----------------
5b=165
---- -----
5 5
b=33
Answer:
the slope is 2 I am pretty sure
The value of n is 10.
Solution:
Given expression:
![$-2+\frac{4n}{5} =6](https://tex.z-dn.net/?f=%24-2%2B%5Cfrac%7B4n%7D%7B5%7D%20%3D6)
<u>To solve this expression:</u>
![$-2+\frac{4n}{5} =6](https://tex.z-dn.net/?f=%24-2%2B%5Cfrac%7B4n%7D%7B5%7D%20%3D6)
Add 2 on both sides of the expression.
![$-2+\frac{4n}{5}+2 =6+2](https://tex.z-dn.net/?f=%24-2%2B%5Cfrac%7B4n%7D%7B5%7D%2B2%20%3D6%2B2)
![$\frac{4n}{5}=8](https://tex.z-dn.net/?f=%24%5Cfrac%7B4n%7D%7B5%7D%3D8)
Multiply by 5 on both sides of the expression, we get
4n = 40
Divide by 4 on both sides of the expression, we get
n = 10
Hence the value of n is 10.
Answer:
the mistake they made was the wrong offset from point (0,0) into the y direction. the incline of the line was correct.
the correct equation is y = 1/2×x - 2, because this line contains both points (4,0) and (0,-2)
Step-by-step explanation:
we are looking for a line equation
y = a×x + b
the 2 points give us 2 equations to solve for the 2 variables a and b :
0 = a×4 + b
-2 = a×0 + b
=> b = -2
=> -b = a×4, => a = -b/4 = 2/4 = 1/2
so, the right equation for the line going through both points is
y = 1/2×x - 2
the difference to the original equation is simply the offset from the x- axis in the y direction.
the original equation would be parallel to the correct equation but hit the y-axis at (0,4) instead of (0,-2), and it would hit the x-axis at (-8,0) instead of (4,0)
Answer:
Step-by-step explanation:
Since each trial is independent of the other
no of mistakes he does is binomial with p = 1/3
a) the probability that he makes no mistakes on his first 10 orders but the 11th order is a mistake
= ![(\frac{2}{3}) ^{10} *\frac{1}{3}\\=\frac{2^{10} }{3^{11} }](https://tex.z-dn.net/?f=%28%5Cfrac%7B2%7D%7B3%7D%29%20%5E%7B10%7D%20%2A%5Cfrac%7B1%7D%7B3%7D%5C%5C%3D%5Cfrac%7B2%5E%7B10%7D%20%7D%7B3%5E%7B11%7D%20%7D)
b) Prob that shanker quits = P(Shankar does I one mistake and Fran does not do the first one)+Prob (Shanker does mistake in the II one while Fran does both right)
= ![\frac{1*5}{3*6} +\frac{2}{3} \frac{1}{3}(\frac{5}{6})^2 =\frac{5}{18} +\frac{50}{216} \\=\frac{55}{108}](https://tex.z-dn.net/?f=%5Cfrac%7B1%2A5%7D%7B3%2A6%7D%20%2B%5Cfrac%7B2%7D%7B3%7D%20%5Cfrac%7B1%7D%7B3%7D%28%5Cfrac%7B5%7D%7B6%7D%29%5E2%20%20%3D%5Cfrac%7B5%7D%7B18%7D%20%2B%5Cfrac%7B50%7D%7B216%7D%20%5C%5C%3D%5Cfrac%7B55%7D%7B108%7D)