Variables: DescriptionIn mathematics, a variable is a symbol used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions.
Properties: a property is any characteristic that applies to a given set.
Expression: DescriptionIn mathematics, an algebraic expression is an expression built up from integer constants, variables, and the algebraic operations. For example, 3x² − 2xy + c is an algebraic expression. Since taking the square root is the same as raising to the power, is also an algebraic expression.
Equation: In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
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Answer:
D
Step-by-step explanation:
substitute t=-3 in the equation
3(-3) squared +5(-3)+6=18
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
For each container, there are only two possible outcomes. Either it is undefilled, or it is not. This means that we can solve this problem using the binomial probability distribution.
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 combinatios of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem
There are 10 containers, so 
.
A food-packaging apparatus underfills 10% of the containers, so 
.
a) This is P(X = 1)
b) This is P(X = 3)
c) This is P(X = 9)
d) This is 
.
Either the number is lesser than five, or it is five or larger. The sum of the probabilities of each event is decimal 1. So:
In which
So
Finally
If the circumference of a circle is changed from 9 cm to 3 cm, then the diameter decreases by a factor of 3.
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