Answer:
1.5
Step-by-step explanation:
Attached to this answer is the diagram of the box plot described in the question, and the means from the plot are calculated thus;
Students; no. of siblings
student 0 2
student 1 4
student 2 7
student 3 5
student 4 2
Total 20
Mean no. of siblings = (total number of siblings) ÷ (total number of students)
Note that number of students here are the once that had at least one sibling, others without siblings are not used in the calculation, hence 5 students (student-0 to student-4) make up total number of students, while the remaining 4 students (student-4 to student-9) are disregarded.
Therefore, mean = 20 ÷ 5 = 4 siblings.
The first equation, 8x - 9y = - 23
Obtain the equation in slope- intercept form
y = mx + c ( m is the slope and c the y-intercept )
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (
, 3) and (x₂, y₂ ) = (- 4, - 1 )
m =
= (- 4)/-
= 
partial equation is y =
x + c
to find c substitute either of the 2 points into the partial equation
using (- 4, - 1 ), then
- 1 = -
+ c ⇒ c = 
y =
x +
← in slope- intercept form
the equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
rearrange the slope- intercept equation into this form
multiply through by 9
9y = 8x + 23 ( subtract 9y and 23 from both sides )
8x - 9y = - 23 in standard form
On average, she spent 18/36 = 0.5$
12 beats are played in 30 seconds
You would have to divide
30 / 2.5 = 12 beats
:)