Answer:
0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Step-by-step explanation:
For each student, there are only two possible outcomes. Either they are in favor, or they are not. Students are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
18% of the students are in favor of changing the dress code.
This means that 
You randomly select 15 students
This means that 
What is the probability that at least three of these students are in favor of the proposal to change the dress code?
This is

In which

In which






0.5234 = 52.34% probability that at least three of these students are in favor of the proposal to change the dress code.
Answer:
she started with 50 marbles
Step-by-step explanation:
The total is 100 than you just subtract 20 and 30 becasue that is what is added later on. After you subtract 20 and 30 from 100 you will get 50. Therefore Sara had started out with 50 marbles.
Hope that helps :)
Integers are all of the positive and negative whole numbers, and zero. Integers are not fractions or decimal numbers.
<span>Integers are the class of whole numbers, such as 21, 3, -45. Fractional or decimal numbers do not belong to this class.</span>
Answer:

Step-by-step explanation:
If you are trying to find a number that is written in word form, we can just use place values to find what goes where.
A number is broken down into this:
Ten thousands, thousands, hundreds, tens, ones.
If they have 7 ten thousands, the first digit will be a 7.
If they have 1 thousand, the second digit will be a 1.
If they have 1 hundred, the third digit will be a 1.
Since nothing is stated about tens, we assume it's value is 0.
And since there are no ones, it's value is 0.
So:
71,100.
Hope this helped!
Answer:
The Expression representing the Total Cost is
.
Step-by-step explanation:
Given:
Charges for reserving place = $100
Per person charge = $5
Let the number of person be x.
We need to find the Total Cost with any number of person.
Total Cost can be calculated by adding Charges for reserving place and Per person charge multiplied by Number of persons.
Hence It can be framed in equation form as below;
Total Cost for any number of person = 
Hence the Expression is
.