Answer:
We have to put the data for purchased item in a frequency table.
Step-by-step explanation:
The diagram is attached below.
Firstly we have to see that how many customers fall under range 
.
Then 
.
Then 
.
Finally
.
If we go through the items purchased by customers we can see that item ranges from have 
customers.
Item purchased range from have 
customers.
Item purchased range from have 
customers.
Item purchased range from have 
customers.
Total number of customers = 
As we have total number of customers and they have varied quantity of items purchased.
Any value of y, except when y = -4.9, will make the expression equal to 2.45.
Answer: acute
Step-by-step explanation: it is less than 90 degrees so it is less the right angle
Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
