At the end of the game you owned 13 cents if 71% of your rolls are successful and 29% of your rolls are unsuccessful option first is correct.
<h3>What is probability?</h3>
It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
Every time you roll a 1 or 2 you are successful, and your friend will pay you $1. Every time you roll a 3, 4, 5 or 6, you must pay your friend $2.
71% of your rolls are successful:
= 1×0.71
= $0.71 (won)
29% of your rolls are unsuccessful
= 2×2.9
= $0.58 (lose)
The amount owned = 0.71 - 0.58 = $0.13 = 13 cents
Thus, at the end of the game you owned 13 cents if 71% of your rolls are successful and 29% of your rolls are unsuccessful option first is correct.
Learn more about the probability here:
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Answer:
- Library 2 charges more for each book loaned.
- Library 1 has a cheaper subscription fee.
Step-by-step explanation:
Based on the table, we can write the equation for the cost of borrowing from Library 2 using the two-point form of the equation of a line:
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
for (x1, y1) = (2, 15.50) and (x2, y2) = (8, 26) this equation becomes ...
y = (26 -15.50)/(8 -2)(x -2) +15.50 . . . . . fill in the values
y = (10.50/6)(x -2) +15.50 . . . . . . . . . . . . simplify a bit
y = 1.75x -3.50 +15.50 . . . . . . simplify more
In the above, we have x = number of books; y = cost. We can use "n" and "C" for those, respectively, as in the equation for Library 1. Then the monthly cost for Library 2 is ...
C = 12 + 1.75n . . . . . . . arranged to the same form as for Library 1
_____
Now, we can answer the questions.
Library 2 charges more for each book loaned. (1.75 vs 1.50 for Library 1)
Library 1 has a cheaper subscription fee. (10 vs 12 for Library 2)
_____
The numbers in the cost equations are ...
C = (subscription fee) + (cost per book loaned)·n
Answer:
32 in, assuming 2 is your height, 208 in assuming 13 is your height
Step-by-step explanation:
Area = Base x Height
*You can always use this formula to find the area, but only for parallelograms
Answer:
(2,4)
*View attached graph*
Step-by-step explanation:
2x + 3y = 16
2 + 2y = 10
2 + 2y = 10
-2 - 2
2y = 8
/2 /2
y = 4
2x + 3y = 16
2x + 3(4) = 16
2x + 12 = 16
- 12 - 12
2x = 4
/2 /2
x = 2
(x,y) -> (2,4)
Hope this helps!
The answer would be 4,060,952
