Afundraising event offered people a chance to pay $3 to go through a corn maze (shown below) in a field in the fall. the maze either led to nothing or a prize of $4 (ie their $3 back and an extra $1). the participants can only move forward and when they come to a fork in the maze they are equally likely to take any one of the paths. what is the expected monetary value for each participant that goes through the maze?
-0.33

-0.67

-0.75

-1.00

*100% correct answers

Question 1

A fundraising event offered people a chance to pay $3 to go through a corn maze (shown below) in a field in the fall. The maze either led to nothing or a prize of $4 (ie their $3 back and an extra $1). The participants can only move forward and when they come to a fork in the maze they are equally likely to take any one of the paths. What is the expected monetary value for each participant that goes through the maze?  

-0.33  

Question 2

What is the expected value of the spinner shown?

2.125  

Question 3

An insurance company charges a customer $1600 per year for a particular customers auto insurance. The company has predicted that there is a 10% change the person will make a claim on the policy of $5000 (which means the insurance company would lose $3400) and 90% change that they won't make a claim. What can the insurance company on average expect to make on selling this policy?  

$1100

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²