James is interested in the relationship between weather conditions and whether the downtown train runs on time. For a year, James records the weather each day as well as whether this train arrives on time or is delayed. Here are his results: Weather condition On-time Delayed Total
Sunny 167 3 170
Cloudy 115 5 120
Rainy 40 15 55
Snowy 8 12 20
Total 330 35 365
Find the marginal distribution of weather condition in counts.

3

step-by-step explanation:

we are given expression: and .

in order to find it's greatest common factor, let us break it into smaller parts.

let us find greatest common factor of 54 and 27 first.

54 = 27 × 2

27 = 27 × 1

now, let us find the greatest common factor of m and m^3.

now, let us find the greatest common factor of n^4 and n^2.

therefore, following expressions are part of the greatest common factor of 54mn^4 and 27m^3n^2.

the equation of the parabola is y2=12x

explanation:

the vertex is midway between the focus ad the directrix

so, the vertex is (0,0)

let p=(x,y) be a point on the parabola.

the distance of p from the directrix is equal to the distance from the focus.

x+3=√(x−3)2+(y−0)2

(x+3)2=(x−3)2+y2

x2+6x+9=x2−6x+9+y2

y2=12x

graph{y^2=12x [-10, 10, -5, 5]}