Answer:
Step-by-step explanation:
Answer:
OPTION A: 2x + 3y = 5
Step-by-step explanation:
The product of slopes of two perpendicular lines is -1.
We rewrite the given equation as follows:
2y = 3x + 2
⇒ y = 
The general equation of the line is: y = mx + c, where 'm' is the slope of the line.
Here, m =
.
Therefore, the slope of the line perpendicular to the line given =
because
.
To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:
y - y₁ = m(x - x₁)
The point is: (x₁, y₁) = (-2, 3)
Therefore, the equation is:
y - 3 =
(x + 2) $
⇒ 3y - 9 = -2(x + 2)
⇒ 3y - 9 = -2x - 4
⇒ 2x + 3y = 5 is the required equation.
Answer:
c) (40+60+25)/200 or 63%
Step-by-step explanation:
n= 200 students
Did Well on the Midterm and Studied for the Midterm = 75
Did Well on the Midterm and Went Partying = 40
Did Poorly on the Midterm and Studied for the Midterm = 25
Did Poorly on the Midterm and Went Partying = 60
The number of students that did poorly on the midterm or went partying the weekend before the midterm is given by the sum of all students who did poorly to all students who went partying minus the number of students who did Poorly on the Midterm and Went Partying:

The probability that a randomly selected student did poorly on the midterm or went partying the weekend before the midterm is given by:

Answer:
See Explanation
Step-by-step explanation:
Given
Base Dimension


Required
The base area of all containers
First, calculate the base area of 1 container.
This is calculated as:


Express as improper fraction

So, we have:


The number of containers is not given. So, I will use 'n' as the number of containers.
So, we have:


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Assume n is 3 (i.e. 3 containers)
The total area is:



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