Remark
Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.
Solution
<em><u>Step One</u></em>
Find the slope of the new line
m1 = - 1/3
m2 = ??
m1 * m2 = - 1
(-1/3) * m2 = - 1
You could continue by changing (-1/3) to a decimal.
(-0.3333333333) * m2 = -1 Now divide by the decimal
m2 = - 1/ (-0.3333333333)
m2 = 3 which is what my calculator tells me the answer is.
<u>Step Two</u>
So far what you have is
y = 3x + b
Use the point (-3, -7) to get the y intercept.
-7 = 3(-3) + b
b - 9 = - 7
b = -7 + 9
b = 2
y = 3x + 2 Answer
Graph
The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.
The green dot is the point (-3 , - 7)
Answer:
0.0545 = 5.45% probability that exactly seven are retired people.
Step-by-step explanation:
For each stock investor, there are only two possible outcomes. Either they are retired people, or they are not. Stock investors are independent. This means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which 
is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
20% of all stock investors are retired people.
This means that 
a. What is the probability that exactly seven are retired people?
0.0545 = 5.45% probability that exactly seven are retired people.
Answer: 6 inches = 1 inch.
Step-by-step explanation: 16 ft is 192 inches. 192 in/ 32 = 6 so our scale factor is 6 inches = 1 inch.
Teachers / Students = 3 / 74
Teachers / 2,500 = 3 / 74
To solve a proportion,
you cross-multiply: Teachers x 74 = 2,500 x 3
Divide each side by 74 : Teachers = 2,500 x 3 / 74
= 101.4 ===> 101 teachers
Let the width of the field = x.
Then the length = 4x
Now the perimeter = 2 * length + 2 * width, so we have the equation:-
2*4x + 2x = 340
8x + 2x = 340
10x = 340
x = 34 yards = width
4x = length = 136
Answer: the width is 34 yards and length is 136 yards.
