Simple...
you have:
1.) -8x-16 --->>>
Factor out a -8 -->>
-8(x+2)
2.)9d+15db --->
Factor out 3d -->
3d(3+5b)
3.) 2a-9ax-->>
Factor out -a -->
-1a(9x-2)
Thus, your answer.
ANSWER
a. A variable is an unknown number or value represented by a letter
EXPLANATION
In mathematics, we use letters to represent an unknown quantity or number.
For instance, we can use the letter , t, to represent time taken to cover a given distance.
We can use the letter , s, to represent displacement or distance covered by an object.
The letters that we use to represent the unknown values or numbers are called variables.
The correct answer is A.
Answer:
The difference between the heights of the poles is 10m
Step-by-step explanation:
The distance between poles is 24 m
The length of the cable is 26m
You first use the Pythagoras' theorem to calculate the vertical distance between the end of one pole and the end of the other one.
The difference between the heights of the poles is 10m
The higher pole has height of 50m
Then, the lower pole has a height of 50m - 10m = 40m
Using the binomial distribution, it is found that there is a 0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
For each student, there are only two possible outcomes, either they complete the assignment, or they do not. The probability of a student completing the assignment is independent of any other student, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
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:
- The probability of a student successfully completing an assignment before the due date is 0.65, hence p = 0.65.
- Ten students are selected at random, hence n = 10.
The probability is:
In which:
Then:
0.2617 = 26.17% probability that at least 8 but at most 10 students will complete their assignments before the due date.
More can be learned about the binomial distribution at brainly.com/question/14424710