<h2>
Explanation:</h2><h2>
</h2>
We know some facts:
- x for the original price.
- The store has a coupon for $10 off and a discount of 20%
- C for the price after the coupon is applied.
So from the statement 2, you can realize there are two types of discounts:
- The discount offered by the coupon
- The discount offered by 20%
Since we need to write a function just for the coupon, then we don't include the discount offered as percentage, then we subtract the coupon from the original price:
The area of a trapezoid = (a + b)/2 x h
Where a and b are the lengths of the parallel sides and h is the perpendicular distance between them.
When (a + b)/2 x 6 = 30
then (a + b)/2 = 5
a + b = 10
Possible values for (a,b) are (4,6) (3,7) (2,8) (1,9) assuming a < b but (7,3) is also valid.
Any positive real value is possible so (4.8, 5.2) and (0.3, 9.7) are valid
In general {a,b both real: 0
5/1 x 6 4/15
5/1 x 94/15
Answer: 94/3 or 31 1/3
Answer:
Step-by-step explanation:
we know that
If two figures are similar then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> scale factor
x-----> the volume of the dilated cone
y-----> the volume of the original cone
In this problem we have
substitute and solve for x
Answer:
a. Class width=4
b.
Class midpoints
46.5
50.5
54.5
58.5
62.5
66.5
70.5
c.
Class boundaries
44.5-48.5
48.5-52.5
52.5-56.5
57.5-60.5
60.5-64.5
64.5-68.5
68.5-72.5
Step-by-step explanation:
There are total 7 classes in the given frequency distribution. By arranging the frequency distribution into the refine form we get,
Class
Interval frequency
45-48 1
49-52 3
53-56 5
57-60 11
61-64 7
65-68 7
69-72 1
a)
Class width is calculated by taking difference of consecutive two upper class limits or two lower class limits.
Class width=49-45=4
b)
The midpoints of each class is calculated by taking average of upper class limit and lower class limit for each class.
Class
Interval Midpoints
45-48 
49-52 
53-56 
57-60 
61-64 
65-68 
69-72 
c)
Class boundaries are calculated by subtracting 0.5 from the lower class limit and adding 0.5 to the upper class interval.
Class
Interval Class boundary
45-48 44.5-48.5
49-52 48.5-52.5
53-56 52.5-56.5
57-60 56.5-60.5
61-64 60.5-64.5
65-68 64.5-68.5
69-72 68.5-72.5
