Quadratics
x^2+3x+2=0
x1=-2 and x2=-1
25 florida students were asked how many pets they have at home and the data is recorded below
0,0,0,0,1,1,1,1,1,1,1,1,2,2,2,2,2,3,3,3,4,4,5,6,9
What is the mode of the data,
is there an outlier?
what is the range of the data.
1,9,9
1/3x+5=9
x=12
(x-5)(x+2)
x^2-3x+10
2^2
4
x^2+6x+5=0
x1=-5 and x2= -1
How do you find the interquartile range of a box plot
Subtract Q3 - Q1 and you're left with 50% of the data or "box"
3x-3=15
x=6
(2x-2)(4x-5)
8x^2-18x+10
3^5
243
x^2+12x+35=0
x1= -7 and x2=-5
A teacher recorded the number of pages read by each student in a class over the course of a week. The data is as follows:
Pages read by 10 students:
12, 14, 15, 12, 16, 14, 15, 16, 17, 18
Questions:
Frequency Distribution: Create a frequency distribution table with the following intervals:
10–12 pages
13–15 pages
16–18 pages
Answer these questions based on the frequency distribution:
How many students read between 13 and 15 pages?
How many students read more than 15 pages?
What is the range of pages read?
Solution:
Step 1: Create the Frequency Distribution Table
Interval 10–12 pages: 2 students (12, 12)
Interval 13–15 pages: 4 students (14, 14, 15, 15)
Interval 16–18 pages: 4 students (16, 16, 17, 18)
frequency Distribution Table:
Pages Read Frequency
10–12 pages 2
13–15 pages 4
16–18 pages 4
Step 2: Answer the Questions
How many students read between 13 and 15 pages?
There are 4 students who read between 13 and 15 pages (14, 14, 15, 15).
How many students read more than 15 pages?
There are 4 students who read more than 15 pages (16, 16, 17, 18).
What is the range of pages read?
The range is the difference between the highest and lowest numbers:
18
−
12
=
6
18−12=6.
So, the range is 6 pages.
3x-5=12x-18
x=13/9
(3x-4)(x-6)
3x^2-22x+18
5^3
125
2x^2-7x+3=0
x1= 1/2 and x2= 3
A local store recorded the number of items sold in 10 different hours of the day. The data is as follows:
Items sold per hour:
20, 22, 18, 25, 27, 30, 23, 21, 28, 26
Questions:
Frequency Distribution: Create a frequency distribution table using the following intervals:
18–21 items
22–25 items
26–30 items
Answer the following questions:
How many hours had sales between 22 and 25 items?
How many hours had sales greater than 25 items?
What is the range of items sold?
Solution:
Step 1: Create the Frequency Distribution Table
Interval 18–21 items: 4 hours (20, 22, 21, 18)
interval 22–25 items: 4 hours (22, 25, 23, 21)
Interval 26–30 items: 2 hours (28, 27)
Frequency Distribution Table:
Items Sold Frequency
18–21 items 4
22–25 items 4
26–30 items 2
Step 2: Answer the Questions
How many hours had sales between 22 and 25 items?
4 hours had sales between 22 and 25 items (22, 25, 23, 21).
How many hours had sales greater than 25 items?
2 hours had sales greater than 25 items (28, 27).
What is the range of items sold?
The range is the difference between the highest and lowest values:
30
−
18
=
12
30−18=12.
So, the range is 12 items.
3x-16x+18=4x-2
x=20/17
(2x+3)(x-5)
2x^2-7x-15
10^5
100,000
6x^2+x-35=0
x1= -5/2 and x2= 7/3
A group of students in a math class were surveyed about the number of hours they spend doing homework each week.
3 students spend 1 hour
5 students spend 2 hours
7 students spend 3 hours
4 students spend 4 hours
1 student spends 5 hours
Create a histogram to represent the data. Then, answer the following questions:
What is the total number of students surveyed?
What is the range of hours spent on homework?
How many students spend 3 or more hours on homework each week?
Total:20
range:4
> or equal to 3hrs 12
12x+4-56=19x-8x+8
x=60
(3x-3)(3x+2)
9x^2-3x-6
8^4
4096