Total number of possible outcomes = 36
Total number of outcomes with sum even = 18
P(even) = 18/36 = 1/2
Answer: 1/2
The slope of the line is 1/3and the y-intercept is at the (0, 2) as shown in the graph below.
<h3>Graph of a linear function</h3>
A linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:
y = mx + b
where
m is the slope which is equal to the rate of change of y coordinate to x-coordinates.
b is the y-intercept
Given the following equation
y= 1/3x + 2
The slope of the line is 1/3 and the y-intercept is at the(0,2) as shown in the graph below.
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Answer: The total interest paid on the mortgage is $179550
Step-by-step explanation:
The initial cost of the property is $300000. If he deposits $30000, the remaining amount would be
300000 - 30000 = $270000
Since the remaining amount was compounded, we would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total amount in the account at the end of t years
r represents the interest rate.
n represents the periodic interval at which it was compounded.
P represents the principal or initial amount deposited
From the information given,
P = 270000
r = 2% = 2/100 = 0.02
n = 12 because it was compounded 12 times in a year.
t = 25 years
Therefore,
A = 270000(1+0.02/12)^12 × 25
A = 270000(1+0.0017)^300
A = 270000(1.0017)^300
A = $449550
The total interest paid on the mortgage is
449550 - 270000 = $179550
For this case we propose a rule of three according to the data of the statement. To do this, we convert the mixed number into an improper fraction:
cups
4 ----------> 
10 ----------> x
Where the variable "x" represents the amount of chopped of vegetables needed for 10 people.
This is equivalent to 
cups.
Answer:
cups
An expression is defined as a set of numbers, variables, and mathematical operations. The value of b for which the expression x² + bx + 18 can be factored is 9.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of b for which the given expression x² + bx + 18 can be factored is 9. This will make the expression factored as (x+3) and (x+6).
Thus, the value of b for which the expression x² + bx + 18 can be factored is 9.
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