Step-by-step explanation:
The equation of a line with slope m and y-intercept b is y = m x + b.
This line goes through the point ( 0 ,0 ), so the y-intercept is zero.
We are given the slope as − 2 / 3.
The equation of the line is y= – 2 / 3 x + 0 = – 2 / 3 x
y = – 2 / 3 x
12 is 20% of 60 because 12/60 = 0.2.
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
Answer:
Option: A is correct.
Step-by-step explanation:
Since we are given a information that:
A contractor needs to fence a rectangular backyard for a client.
(1) The length of the backyard should be at least(gretaer than or equal to)
150 ft.
The length of the backyard is denoted by 'y' as in the graph.
Hence according to statement (1) we have:
y≥ 150
(2) The distance around should be no more than 450 ft.
This means that the perimeter has to be less than or equal to 450 ft.
Hence, 2x+2y ≤ 450.
So such inequalitiies on graphing will give the graph same as in A option.
Hence option A is correct
