Answer:
<em>y = x ÷ 2</em>
Step-by-step explanation:
We are given a table of values, which will be represented as ordered pairs (x,y) below:
(2,1) (4,2) (8,4) (10,5) (16,8)
We are required to select one of the functions that match the numeric relationship between x and y.
We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:
2/2=1
4/2=2
And so on. Thus the only function that divides the value of x by 2 to find the value of y is:
y = x ÷ 2
Answer:
0.2 ; 100 ; 4.84
Step-by-step explanation:
Given that the probability of each of the 5 groups is the same :
Sum of probability = 1
Hence, Probability of each group = 1 / number of groups = 1 / 5 = 0.2
Expected number for each interval for a sample of 500 : ; X = 500
E(X) = X * P(x) = 500 * 0.2 = 100
Goodness of fit (X²) :
X² = Σ(X - E)² ÷ E
Groups :
113, 95, 108, 99, and 85
X : 113 ____ 95 ____ 108 ____ 99 _____ 85
(113 - 100)^2 / 100 = 1.69
(95 - 100)^2 / 100 = 0.25
(108 - 100)^2 / 100 = 0.64
(99 - 100)^2 / 100 = 0.01
(85 - 100)^2 / 100 = 2.25
(1.69 + 0.25 + 0.64 + 0.01 + 2.25) = 4.84
Let the cost price of article be x :
x + x × ( 15/100 ) = 2300
x + x × ( 5 × 3 / 5 × 20 ) = 2300
x + x × ( 3 / 20 ) = 2300
x + ( 3 × x / 20 ) = 2300
x + ( 3x / 20 ) = 2300
( 20x / 20 ) + ( 3x / 20 ) = 2300
20x + 3x / 20 = 2300
23x / 20 = 2300
Multiply both sides by 20
( 23x / 20 ) × 20 = 2300 × 20
23x = 2300 × 20
23x = 23 × 2000
Divide both sides 23
23x ÷ 23 = ( 23 × 2000 ) ÷ 23
x = Rs 2000
Answer:

Step-by-step explanation:
V= <em>lwh</em><em> </em>or <em>l</em><em> </em><em>*</em><em>w</em><em>*</em><em>h</em>
<em>Length</em><em>:</em><em> </em><em>15</em>
<em>Width</em><em>:</em><em> </em><em>3</em>
<em>Height</em><em>:</em><em>4</em>
<em>V</em><em>=</em><em>15</em><em>*</em><em>3</em><em>*</em><em>4</em>
V=180