Answer: The answer is Y=3/4x -4.5
Step-by-step explanation: You can find the slope by unsing rise over run by using the points given, you go up 3 and go to the side 4 times to get to the other point. You use tose 2 numbers and put them into a fraction you put it like this(The amount you went up/ the amount you went to the side) the you find where you cross the y-intercept which is 4.5 the you plug it into the point slope formula which is Y=3/4x -4.5
Answer: A im positive its A
Step-by-step explanation: 3 times 2 equals 6 and add that to 3 times 4 which is 12 and you get 18
Answer:
(a)![\dfrac{11}{26}](https://tex.z-dn.net/?f=%5Cdfrac%7B11%7D%7B26%7D)
(b)![\dfrac{9}{13}](https://tex.z-dn.net/?f=%5Cdfrac%7B9%7D%7B13%7D)
(c)![\dfrac{4}{13}](https://tex.z-dn.net/?f=%5Cdfrac%7B4%7D%7B13%7D)
Step-by-step explanation:
Number of cards in a Standard Deck=52
(a)
Number of Diamonds (D)=13
Number of Face Cards(F) = 12
Number of Diamonds that are face cards = 3
![Pr($that the card is a diamond or a face card)=P(D)+P(F)-P(D \cap F)\\=\dfrac{13}{52} +\dfrac{12}{52} -\dfrac{3}{52} \\=\dfrac{22}{52} \\=\dfrac{11}{26}](https://tex.z-dn.net/?f=Pr%28%24that%20the%20card%20is%20a%20diamond%20or%20a%20face%20card%29%3DP%28D%29%2BP%28F%29-P%28D%20%5Ccap%20F%29%5C%5C%3D%5Cdfrac%7B13%7D%7B52%7D%20%2B%5Cdfrac%7B12%7D%7B52%7D%20-%5Cdfrac%7B3%7D%7B52%7D%20%5C%5C%3D%5Cdfrac%7B22%7D%7B52%7D%20%5C%5C%3D%5Cdfrac%7B11%7D%7B26%7D)
(b)The probability that the card is neither an ace nor a heart.
Number of Aces (A)=4
Number of Hearts(H) = 13
Number of Hearts that are Aces = 1
![Pr($that the card is a Ace or a Heart), P(A \cup H)=P(A)+P(H)-P(A \cap H)\\=\dfrac{4}{52} +\dfrac{13}{52} -\dfrac{1}{52} \\=\dfrac{16}{52} \\$Therefore, probability that the card is neither an ace nor a heart.\\=1-P(A \cup H)\\=1-\dfrac{16}{52}\\=\dfrac{36}{52}\\=\dfrac{9}{13}](https://tex.z-dn.net/?f=Pr%28%24that%20the%20card%20is%20a%20Ace%20or%20a%20Heart%29%2C%20P%28A%20%5Ccup%20H%29%3DP%28A%29%2BP%28H%29-P%28A%20%5Ccap%20H%29%5C%5C%3D%5Cdfrac%7B4%7D%7B52%7D%20%2B%5Cdfrac%7B13%7D%7B52%7D%20-%5Cdfrac%7B1%7D%7B52%7D%20%5C%5C%3D%5Cdfrac%7B16%7D%7B52%7D%20%5C%5C%24Therefore%2C%20probability%20that%20the%20card%20is%20neither%20an%20ace%20nor%20a%20heart.%5C%5C%3D1-P%28A%20%5Ccup%20H%29%5C%5C%3D1-%5Cdfrac%7B16%7D%7B52%7D%5C%5C%3D%5Cdfrac%7B36%7D%7B52%7D%5C%5C%3D%5Cdfrac%7B9%7D%7B13%7D)
(c)The probability that the card is a face card or a 3
Number of 3 cards(T)=4
Number of Face Cards(F) = 12
![Pr($that the card is a three or a face card)=P(T)+P(F)\\=\dfrac{4}{52} +\dfrac{12}{52} \\=\dfrac{16}{52} \\=\dfrac{4}{13}](https://tex.z-dn.net/?f=Pr%28%24that%20the%20card%20is%20a%20three%20or%20a%20face%20card%29%3DP%28T%29%2BP%28F%29%5C%5C%3D%5Cdfrac%7B4%7D%7B52%7D%20%2B%5Cdfrac%7B12%7D%7B52%7D%20%5C%5C%3D%5Cdfrac%7B16%7D%7B52%7D%20%5C%5C%3D%5Cdfrac%7B4%7D%7B13%7D)
Answer:
Step-by-step explanation:104