Answer:
2/9
Step-by-step explanation:
given that a set of 10 cards consists of 5 red cards and 5 black cards. The cards are shuffled thoroughly and you turn cards over, one at a time, beginning with the top card.
Let X be the number of cards you turn over until you observe the first red card.
X can take values as 1,2,3,4,5 or 6.
No other possibility because at the worst 6th card has to be red
P(X>2) = 1-(P(X=1)+P(x=2))
P(X=1) = Prob for I card to be red = ![\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
P(x=2) Prob for I card black and second red = ![\frac{5*5}{10*9} =\frac{5}{18}](https://tex.z-dn.net/?f=%5Cfrac%7B5%2A5%7D%7B10%2A9%7D%20%3D%5Cfrac%7B5%7D%7B18%7D)
![P(X>2) = 1-(\frac{1}{2} +\frac{5}{18} )\\= \frac{2}{9}](https://tex.z-dn.net/?f=P%28X%3E2%29%20%3D%201-%28%5Cfrac%7B1%7D%7B2%7D%20%2B%5Cfrac%7B5%7D%7B18%7D%20%29%5C%5C%3D%20%5Cfrac%7B2%7D%7B9%7D)
M equals Monday
m + (m + 35) + (2m)
Now add the terms
4m + 35
In this case (m+ 35) equals Tuesday because it is 35 more than Monday. (2m) equals Wednesday because it it twice as much as Monday is. Now we don't know the amount of distance for Monday so we just leave it like that
Again the ANSWER IS 4m + 35
For year 2 - 7:
100% + 5.5%
= 105.5%
= 1.055
Year 1: $900
Year 2: 1.055 x $900 = $949.5
Year 3: 1.055 x $949.5 = $1001.72
Year 4: 1.055 x $1001.72 = $1056.81
Year 5: 1.055 x $1056.81 = $1114.93
Year 6: 1.055 x $1114.93 = $1240.95
Year 7: 1.055 x $1240.95 = $1309.20
Total rent for 7 years
= $(900 + 949.5 + 1001.72 + 1056.81 + 1114.93 + 1240.95 + 1309.20) x 12 months
= $90877.32
Hello! The answer to your question would be as followed:
20 / (3 * (20 - 3))
20 / (3 * 17!)
20 * 19 * 18 * 17 / (6 * 17)
20 * 19 * 18 / 6
20 * 19 * 3
20 * 57 =
1140
Answer:
A. y=x+7
Explanation:
All of the answers are in y-intercept form (y=mx+b where m is the slope and b is the y-intercept), so the two points are used to solve for slope and y-intercept. Immediately, (0,7) gives the y-intercept because this point intercepts the y-axis at 7. Slope is found by dividing the rise over run between the two points. The points rise in y from 2 to 7 for a total of 5 units and the points run from -5 to 0 for a total of 5 units. Rise divided by run would be 5/5, simplified to a slope of 1. From this, slope=m=1 and y-intercept=b=7. Plugging these values into y=mx+b, the final answer is y=x+7.