8 + (7)with directions please that's alll algebra
8+(7) = 8+7 = 15
What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
Are the answers to parts (a) and (b) the same? Why or why not?'
bot help
I would need more information about the context of this question, such as the total number of marbles and the proportion of red and blue marbles, to provide a specific answer and show my work. However, I can explain the difference between selecting a marble with replacement (part a) and without replacement (part b), and why the probabilities may be different.
Selecting a marble with replacement means that after each marble is selected, it is returned to the pool of marbles before the next selection is made. This means that the probability of selecting a red marble on the first selection is the same as the probability of selecting a red marble on the second selection, since the pool of marbles is the same each time. Therefore, the probability of selecting a red marble on the first selection, and then a blue marble on the second selection, would be the product of the individual probabilities: P(red) x P(blue).
Selecting a marble without replacement means that after each marble is selected, it is not returned to the pool of marbles before the next selection is made. This means that the probability of selecting a red marble on the first selection will affect the probability of selecting a blue marble on the second selection. For example, if a red marble is selected and set aside in part b, there will be one less red marble and one less marble overall for the second selection, which will affect the probability of selecting a blue marble. To calculate the probability in this case, you would need to use conditional probability, which takes into account the relationship between the two selections.
Overall, the answers to parts (a) and (b) may be different because selecting a marble with or without replacement affects the composition of the pool of marbles for subsequent selections, which can impact the probabilities.
To solve the expression 8 + 7 using algebra, you can follow these steps:
Step 1: Write down the given expression: 8 + 7.
Step 2: Add the numbers together: 8 + 7 = 15.
So, the answer to the expression 8 + 7 is 15.