Answer:
227
Step-by-step explanation:
Answer:
29
Step-by-step explanation:
Use definition of conditional probability:
![P(A|B)=\dfrac{P(A\cap B)}{P(B)},](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cdfrac%7BP%28A%5Ccap%20B%29%7D%7BP%28B%29%7D%2C)
where
A = the student is a freshman,
B = the student is a male
From the table,
![P(B)=\dfrac{4+6+2+2}{4+6+2+2+3+4+6+3}=\dfrac{14}{30}=\dfrac{7}{15}\\ \\P(A\cap B)=\dfrac{4}{4+6+2+2+3+4+6+3}=\dfrac{4}{30}=\dfrac{2}{15}](https://tex.z-dn.net/?f=P%28B%29%3D%5Cdfrac%7B4%2B6%2B2%2B2%7D%7B4%2B6%2B2%2B2%2B3%2B4%2B6%2B3%7D%3D%5Cdfrac%7B14%7D%7B30%7D%3D%5Cdfrac%7B7%7D%7B15%7D%5C%5C%20%5C%5CP%28A%5Ccap%20B%29%3D%5Cdfrac%7B4%7D%7B4%2B6%2B2%2B2%2B3%2B4%2B6%2B3%7D%3D%5Cdfrac%7B4%7D%7B30%7D%3D%5Cdfrac%7B2%7D%7B15%7D)
So,
![P(A|B)=\dfrac{\frac{2}{15}}{\frac{7}{15}}=\dfrac{2}{7}\approx 0.29=29\%](https://tex.z-dn.net/?f=P%28A%7CB%29%3D%5Cdfrac%7B%5Cfrac%7B2%7D%7B15%7D%7D%7B%5Cfrac%7B7%7D%7B15%7D%7D%3D%5Cdfrac%7B2%7D%7B7%7D%5Capprox%200.29%3D29%5C%25)
-3a+b=-3 => a=b+1 =>
12a+b=2 => 12(b+1)+b=2 => b = -10/13 => a=3/13
y=3/13x-10/13 - does not exist!
126 = 63 x 2 = 21 x 3 x 2 = 7 x 3 x 3 x 2
=> 126 = 2 x 3² x 7
$31+50%
31*.5=$15.50
The priceof markup is $15.50