Twelve new students are standing in a line. How many different ways can the first seven students in line order themselves
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The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable. The values given in the table 3 matches the equation and includes the viable solutions.
<h3>Given information-</h3>The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation,
The quantity of the bread depends on the quantity of the loaves.
<h3>Dependent variable</h3>The dependent variable is the variable that depends on the value of other variable and keeps on changes with change in the value of one variable.
Lets check which table satisfy the above equation.
Table 1-
In the table the first values of the bread and the loves is -2 and -7. The quantity of a bread and loves can not be negative. Thus the table 1 does not provides the viable solution.
Table 2-
In the table 2 the value of the third row is 1.5 loaves and 5.25 breads. Check this by the given equation. When the value of loaves is 1.5 then the value of the bread is,
The value of bread must be 4.5. Thus the table 2 does not provides the viable solutions.
Table 3-
Put the values of the loaves in the given equation one by one,
When the value of loaves is 0 then the value of the bread is,
When the value of loaves is 3 then the value of the bread is,
When the value of loaves is 6 then the value of the bread is,
When the value of loaves is 9 then the value of the bread is,
All the values of the table 3 satisfies the given equation.
Hence, the values given in the table 3 matches the equation and includes the viable solutions.
Learn more about the dependent variables here;
Answer:
Step-by-step explanation:
Given that in a group of 40 people, 35% have never been abroad. Two people are selected at random without replacement and are asked about their past travel experience.
Since the two are drawn without replacement the first trial affects the second trial. In other words, each trial is not independent of the other.
a) Hence this cannot be binomial experiment. The reason is p=probability for each trial is not constant as first draw affect the probability for Ii draw
b) The probability that in a random sample of 2, no one has been abroad
=Prob of selecting both people from the group where no one has been abroad
We have in the group 35% i.e. 14 people never been to abroad
So required probability = Prob of selecting both from 14 people
=