The probability of drawing a goldfish on the first draw is 16 / ( 16 + 24 ), or 16/40, or 2/5. Supposing that the first fish drawn is actually a goldfish, then there are 15 goldfish left among 39 fish, and the probability of drawing a goldfish on the 2nd draw is 15/39, or 5/13. The (joint) probability of drawing 2 goldfish on the 1st 2 draws, without replacement, is (5/13)(2/5) = 2/13.
Answer:
Step-by-step explanation:
k=3 or k=−7 both choices are correct
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
![m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3](https://tex.z-dn.net/?f=m%20%5C%3A%20%20%3D%20%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B6%20-%203%7D%7B1%20-%202%7D%20%20%5C%5C%20%3D%20%20%5Cfrac%7B3%7D%7B%20-%201%7D%20%20%5C%5C%20%20%3D%20%20-%203)
Substitute x = 1 and y = 6 into equation,
![6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9](https://tex.z-dn.net/?f=6%20%3D%20%28%20-%203%29%281%29%20%2B%20c%20%5C%5C%206%20%3D%20%20-%203%20%2B%20c%20%5C%5C%20c%20%3D%206%20%2B%203%20%5C%5C%20%20%3D%209)
Therefore substituting m and c value, equation of line is
![y = - 3x + 9](https://tex.z-dn.net/?f=y%20%3D%20%20-%203x%20%2B%209)
Karen will have to buy 14 jars to have an equal weight of peanut butter