Answer:
![a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}](https://tex.z-dn.net/?f=a.%5Cfrac%7B1%7D%7B13%7D%5C%5Cb.%5Cfrac%7B1%7D%7B2%7D%5C%5Cc.%5Cfrac%7B1%7D%7B13%7D%5C%5Cd.%5Cfrac%7B1%7D%7B13%7D)
Step-by-step explanation:
P(A|B) = P(A and B) / P(B)
Total number of cards = 52
a)
Let A denotes the event that the card is a diamond and B denotes the card is red.
![P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%7CB%20%5Cright%20%29%3D%5Cfrac%7BP%5Cleft%20%28%20A%5Ccap%20B%20%5Cright%20%29%7D%7BP%28B%29%7D%5C%5C%3D%5Cfrac%7B%5Cfrac%7B2%7D%7B52%7D%7D%7B%5Cfrac%7B26%7D%7B52%7D%7D%5C%5C%3D%5Cfrac%7B1%7D%7B13%7D)
b)
Let A denotes the event that the card is red and B denotes the card is diamond.
![P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%7CB%20%5Cright%20%29%3D%5Cfrac%7BP%5Cleft%20%28%20A%5Ccap%20B%20%5Cright%20%29%7D%7BP%28B%29%7D%3D%5Cfrac%7B%5Cfrac%7B2%7D%7B52%7D%7D%7B%5Cfrac%7B4%7D%7B52%7D%7D%5C%5C%3D%5Cfrac%7B1%7D%7B2%7D)
c)
Let A denotes the event that the card is nine and B denotes the card is red.
![P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%7CB%20%5Cright%20%29%3D%5Cfrac%7BP%5Cleft%20%28%20A%5Ccap%20B%20%5Cright%20%29%7D%7BP%28B%29%7D%3D%5Cfrac%7B%5Cfrac%7B2%7D%7B52%7D%7D%7B%5Cfrac%7B26%7D%7B52%7D%7D%5C%5C%3D%5Cfrac%7B1%7D%7B13%7D)
d)
Let A denotes the event that the card is a king and B denotes the card is a face card.
![P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}](https://tex.z-dn.net/?f=P%5Cleft%20%28%20A%7CB%20%5Cright%20%29%3D%5Cfrac%7BP%5Cleft%20%28%20A%5Ccap%20B%20%5Cright%20%29%7D%7BP%28B%29%7D%3D%5Cfrac%7B%5Cfrac%7B4%7D%7B52%7D%7D%7B%5Cfrac%7B12%7D%7B52%7D%7D%5C%5C%3D%5Cfrac%7B1%7D%7B13%7D)
If you have 1 nickle, how many quarters do you have? (3)
If you have 4 nickles, you have 3 times as many quarters (3)(4) = 12
If you have n nickles, then you have 3n quarters so 3n = q, you have a slightly different equation.
If you fix this equation and use substitution like you did, you can get the right answer; you can also try to work in the other information that you have - converting all coin values to cents
5n + 10d + 25q = 460
Answer:
Step-by-step explanation:
y = -4x + 5.....slope here is -4. A parallel line will have the same slope.
y = mx + b
slope(m) = -4
(-6,-2)....x = -6 and y = -2
now we sub and find b, the y intercept
-2 = -4(-6) + b
-2 = 24 + b
-2 - 24 = b
-26 = b
so ur equation is : y = -4x - 26 <====
Answer:
13.13
Step-by-step explanation:
A=bh
A=2.5 in. x 5.25 in.
Answer:
K - 12 = X
Step-by-step explanation:
Can't really, it's an expression.