Answer:
Width = 4.5
Length = 7.5
Step-by-step explanation:
The perimeter is two times the length plus two times the width.
So 2(x+3) + 2x = 24 is the equation to solve.
2x+6+2x = 24
4x = 24-6
4x = 18
x = 9/2= 4.5
So the width = 4.5
Length = 4.5+3 = 7.5
Lines on a railroad track are parallel lines.
Parallel lines are two or more lines that are in the same plane (flat space) and are always equal distances apart from each other at all points on the line.
This is an isosceles right triangle (AB = BC & ∠ B=90° - Given)
Then the angles at the base are equal and ∠ CAB = ∠ ACB = 45°
Theorem: Segment DE, joining the midpoints of 2 sides is:
1st) parallel to the 3rd side and
2nd) equal to half the measurement of the 3rd side
So if the 3rd side (hypotenuse) = 9 units, DE = 9/2 = 4.5 units
Answer:
22.8 and 37.5
Step-by-step explanation:
Given the
The weights (in pounds) of 18 preschool children are
32, 20, 25, 27, 31, 22, 30, 23, 44, 37, 33, 45, 41, 24, 34, 21, 39, 29
To find its 20th percentile and 75th percentile.
In ascending order we get like this
Position X (Asc. Order)
1 20
2 21
3 22
4 23
5 24
6 25
7 27
8 29
9 30
10 31
11 32
12 33
13 34
14 37
15 39
16 41
17 44
18 45
Percentile position = (no of entries +1)20/100 = 19/5 = 3.8
Since posiiton is not integer we use interpolation method.
The value of 3.8 - 3 = 0.8 corresponds to the proportion of the distance between 22 and 23 where the percentile we are looking for is located at.
Hence 20th percentile =
So answer is 22.8
----------------------
75th percentile
Percentile posiiton = 19(75)/100 = 14.25
75th percentile=
For this case we have that the variable "s" represents the quantity of slices for each pizza.
In total, 9 pizzas were purchased and 72 slices were obtained. Then we can raise the following equation:
To know the amount of slices of each pizza we clear "s":
Answer: