Part a)
Identify the variable and categoriesBy reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.
2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.
Part b)Set up and fill 2 way table.Since, we have 2 variables and each variable has 2 categories the number of data cells will be 2 x 2 = 4 cells
There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below
Answer:
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Step-by-step explanation:
we have

we know that
The roots of the quadratic function are the values of x when the value of the function is equal to zero
so
For f(b)=0

Solve for b
Adds 75 both sides

take square root both sides

Simplify

therefore
(b = 5 StartRoot 3 EndRoot)
and
(b = Negative 5 StartRoot 3 EndRoot)
Answer:
Wilton found 10 dimes while cleaning his father's truck.
Step-by-step explanation:
Given that:
Total amount collected = $8.50 = 8.50*100 = 850 cents
Let,
x be the number of dimes
y be the number of quarters
According to given statement,
10x+25y=850 Eqn 1
y = 3x Eqn 2
Putting y=3x in Eqn 1

Dividing both sides by 85

As x represents dimes, therefore, number of dimes is 10.
Hence,
Wilton found 10 dimes while cleaning his father's truck.
Answer:
x=-2,y=-3
Step-by-step explanation:
x=7+3x
-3x+8y=-18
-21-y=-18
x=7+3x
y=-3
x=7+3x
x=-2
y=-3
There was 16 bagels, and now there is 0 bagels. So what you do is subtract 16 from 16 to get 0.