Answer: 4
Explanation:
You can write an algebraic expression to represent the sequence with the books in this way:
- yesterday she got five books: 5
- today returned three books: - 3
- how many books did Gia have to begin: n
- At the end she has six books, which means that you can set an equality:
n + 5 - 3 = 6
Now you follow these steps to clear the unknown:
- do the operations in the left side: n + 2 = 6
- use subtraction property of equality: n = 6 - 2
- do the operations: n = 4
And that is the number of books whith which Gina started: 4
Let x, x + 1 two consecutive integers;
We have x + x + 1 = 185;
2x + 1 = 185;
2x = 184;
x = 92; x + 1 = 93;
92 < 93;
92 is the smaller of the two integers.
The candle store sold 11 large candles, Hope this helps
The probability of event A and B to both occur is denoted as P(A ∩ B) = P(A) P(B|A). It is the probability that Event A occurs times the probability that Event B occurs, given that Event A has occurred.
So, to find the probability that you will be assigned a poem by Shakespeare and by Tennyson, let Event A = the event that a Shakespeare poem will be assigned to you; and let Event B = the event that the second poem that will be assigned to you will be by Tennyson.
At first, there are a total of 13 poems that would be randomly assigned in your class. There are 4 poems by Shakespeare, thus P(A) is 4/13.
After the first selection, there would be 13 poems left. Therefore, P(B|A) = 2/12
Based on the rule of multiplication,
P(A ∩ B) = P(A) P(B|A)P(A ∩ B) = 4/13 * 2/12
P(A ∩ B) = 8/156
P(A ∩ B) = 2/39
The probability that you will be assigned a poem by Shakespeare, then a poem by Tennyson is 2/39 or 5.13%.
