Answer:
1
Step-by-step explanation:
Since all 5 terms are like terms they can all be combined into 1 term. For example, 3x + 8x + 5x + 4x + 19x = ?. Since they all have the term x they can be combined into 39x. That leaves 1 term.
By using the second condition, we conclude that there are 23 white roses in the tray.
<h3>
How many white roses are in the tray?</h3>
First, we know that there are a total of 50 roses in the tray, and we have the conditions:
- <em>"There is at least 1 red rose among any 24 randomly selected roses"</em>
- <em>"There is at least 1 white rose among any 28 randomly selected roses".</em>
The second statement means that, always that we take 28 roses, at least one of them is white. So, there are 27 roses in the tray that are not white.
Whit that in mind, if the 28th rose must be white, then all the remaining roses in the tray are white, this means that there are:
50 - 27 = 23 white roses.
If you want to learn more about counting.
brainly.com/question/11732255
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AB= 45 degrees central angle theorem
Using the binomial distribution, it is found that:
The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 20 questions, hence
.
- Each question has 2 options, one of which is correct, hence

The probability is:

In which:







Then:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.
You can learn more about the binomial distribution at brainly.com/question/24863377