Answer:
Step-by-step explanation:
A box plot is the diagrammatic representation of the five number summary. It includes 5 items:
The minimum.
Q1 = the first quartile or the 25% mark.
The median.
Q3 = the third quartile or the 75% mark.
The maximum.
Rearranging the data in ascending order, it becomes
169, 163, 153, 166, 149, 148, 146, 145, 152, 163
145, 146, 148, 149, 152, 153, 163, 163, 166, 169
Minimum = 145
Maximum = 169
Median = (152 + 153)/2 = 152.5
The median divides the data into two equal halves. The middle of the lower halve is Q1 while the middle of the upper halve is Q3
Q1 = 148
Q3 = 163
The diagram of the box plot is shown in the attached photo
Answer:
1/2 and 1/5.
Step-by-step explanation:
Two quarters would be 50/100 or 1/2 simplified.
Two dimes would be 20/100 or 1/5 simplified.
Answer:
The rate of change of the number of vehicles waiting with respect to the traffic intensity for the intensities are:
a) 0.52
b) 2.63
Step-by-step explanation:
The rate of change of a function at a given point P can be obtained by evaluating the 1st derivative of the function in P. Thus,
Now for we just need to evaluate in each of the given points
a)
b)
Answer:
THE AXIS OF SYMMETRY IS ALWAYS THE X VALUE OF THE VERTEX
Step-by-step explanation:
The vertex is where the graph performs the u shape bend.
The vertex is always -b/2a. so in problem one, it would be 6/2(3) which is 1. That is the x value so the axis of symmetry would be x=1.
Answer:
1) Known information:
- The perimeter.
-
- The formula of the perimeter of the rectangle:
Unknown information:
- The value of the widht.
- The value of the length.
2) Equation:
3)
Step-by-step explanation:
1. The problem gives you the perimeter, the formula of the perimeter of a rectangle and says that the width of a rectangle is 3 feet shorter than its length (), but does not give the value of the widht and the value of the lenght.
2. Based on the information given, you can write the following equation:
Where is the lenght and is the width.
Substitute into the equation above, then you have:
3. Solve for the lenght:
4. Know you can calculate the width:
5. Therefore, the length is 134 feet and the widht is 131 feet.