y - 12 = -5(x + 12) is the required equation.
f(x) = -5x + 2
let f(x) = y
y = -5x + 2
y = -5x + 2
comparing it to y = mx + c
m = -5
The point slope form is used to find the equation of the straight line which is inclined at a given angle to the x-axis and passes through a given point. The equation of a line is an equation that is satisfied by each and every point on the line. This means that a linear equation in two variables represents a line.
The point slope equation formula is
y - y₁ = m(x - x₁)
Now the equation of line containing (-2,12) is
y - 12 = -5(x + 12)
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1500 ice cubes need to fill 1.5 L jar
Solution:
1 cm = 1 ml
Capacity of ice cube = 1 cm
= 1 ml
Capacity of jar = 1.5 L
1 L = 1000 ml
1.5 L = 1.5 × 1000
= 1500 ml
Capacity of jar = 1500 ml
= 1500
Therefore 1500 ice cubes need to fill 1.5 L jar.
Answer:
The point estimate for p is 0.86.
Step-by-step explanation:
We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).
Let p = <u><em>proportion of all women shoppers who remain loyal to their favorite supermarket</em></u>
Now, the point estimate for the population proportion (p) is represented by ;
Point estimate for p = =
where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628
n = sample of women shoppers = 730
So, <u>point estimate for p</u> () =
= = <u>0.86</u>