Answer:
It equals 10.5
Step-by-step explanation:
Answer:
480.6 ; 440.5, 8 mode values
Step-by-step explanation:
Given that :
Given the data :
486, 358, 395, 759,496, 692, 353, 306
Rearranged data: 306, 353, 358, 395, 486, 496, 692, 759
The mean:
Σx/ n
n = sample size = 8
Σx = sum of all data values = 3845
Mean = 3845 / 8
Mean = 480.6
The median :
0.5(n + 1)th term
0.5(8 + 1) th term
0.5(9)th term
= 4.5term
(4th + 5th term) / 2
(395 + 486) / 2
= 440.5
The mode = most frequently occurring data value ; since all the data values have a frequency of 1, then the number of modes = 8.
Let the width be X
Then the length is X + 70
The perimeter is the sum of all sides
There are 2 widths (left side and right side) and 2 lengths (top and bottom)
Perimeter = 2 * width + 2 * length
Perimeter = 2 * X + 2 * (X+70)
Perimeter: 2 X + 2 X + 140 = 380
4 X = 380-140
4 X = 240
X = 240 / 4
X = 60
Width = 60 - the smaller of two sides
Length = X + 70 = 60 + 70 = 130 - the larger of two sides
Check:
<span>
2 * 60 + 2 * 130 = 380 </span>
Answer:
<em>The number is 46</em>
Step-by-step explanation:
<u>Equations</u>
Suppose:
a = One digit of the number
b = Tens digit of the number
The sum of the digits is 10:
a + b = 10
The number expressed as two-digits quantity is ab, and its value is
10a+b
When we add 18 to that number, we have:
10a+b+18
And that is represented as the number reversed:
10a+b+18=10b+a
Simplifying:
9a+18=9b
Dividing by 9:
a + 2 = b
Substituting in the first equation:
a + a + 2 = 10
2a = 8
a = 4
b = a + 2 = 6
Thus the number is 46