Answer:
a = 3
Step-by-step explanation:
1) Simplify 5a - 9 + a to 6a - 9.
2) Add 9 to both sides.
3) Simplify 9 + 9 to 18.
4) Divide both sides by 6.
5) Simplify 18/6 to 3.
Therefor, the answer is, a = 3.
Answer: 3/5 = (6/10). There are 10 TOTAL marbles in the bag.
Step-by-step explanation:
Since it is a question of fractions, you can assume any reasonable number and work with the numbers. We know initially that there are 6 marbles and they are ALL blue and the rest are another color or colors. So BLUE = 6/10 and the other colors 4/10 for 2/5.
Answer:
1) It is geometric
a) In each trial you can obtain 11 or obtain something else (and fail)
b) Throw 2 dices and watch if the result is 11 or not
c) The probability of success is 1/18
2) It is not geometric, but binomal.
Step-by-step explanation:
1) This is effectively geometric. When you see the sum of 2 dices, you can separate the result in two different outcomes: when the sum is 11 and when the sum is different from 11.
A trial is constituted bu throwing 2 dices and watching if the sum of the dices is 11 or not.
In order to get 11 you need one 5 in one dice and 1 six in another. As a consecuence, you have 2 favourable outcomes (a 5 in the first dice and a 6 in the second one or the other way around). The total amount of outcomes is 6² = 36, and all of them have equal probability. This means that the probability of success is 2/36 = 1/18.
2) This is not geometric distribution. The geometric distribution meassures how many tries do you need for one success. The amount of success in 10 trias follows a binomial distribution.
In this situation, there are 2 separate terms (parts of the story). The first part is the information about the coupon that applies to the daily rate of $40. You will represent this as 0.75 (for the 75% that you will be paying) x 40. (The other part of this story is that you are paying $0.15 per mile which is represented as 0.15m. You need to put these together to get 0.75(40) + 0.15m. The 0.25 times 40 can be simplified to say 30, so write it as $30 + $0.15m.
First, find the slope of the line thru these 2 pts:
5-4
m = --------- = -1/2
2 -4
Use the slope-intercept formula y = mx + b:
5 = (-1/2)(2) + b. Then the y-intercept is 5 + 1, or 6: y = (-1/2)x + 6
Multiplying this entire result (3 terms) by 2 results in 2y = -x + 12, or
x + 2y = 12 (answer)
