Using algebraic expressions, the value of x in the diagram given is calculated as: x = 4
<h3>What is an Algebraic Equation?</h3>
An algebraic equation is an equation that has an unknown variable (i.e. x) and digits, which can be used to solve a problem.
Algebraic expression for Mat A is: 4x + 3
Algebraic expression for Mat B is: 2x + 11
We would have the following algebraic equation:
4x + 3 = 2x = 11
Solve for the value of x
4x - 2x = 11 - 3
2x = 8
x = 8/2
x = 4
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Answer:
x=-48
Step-by-step explanation:
Add 4 to both sides and then multiply both sides by 3.
Answer:
I believe the answer is neither
Step-by-step explanation:
Answer:
A)0.8533
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older is independent of any other person. So 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.
14 percent of the population of Arizona is 65 years or older.
This means that 
A random sample of five persons from this population is taken.
This means that 
The probability that less than 2 of the 5 are 65 years or older is :
In which
So the correct answer is:
A)0.8533
The maximum number of of bouquets the gardener could have made is 3
<h3>How to find unknown parameter</h3>
Total = 45
let
- number of daffodils = x
- number of tulips = y
Roses = 4x
Tulips = 4x + 15
Total = roses + daffodils + tulips
45 = 4x + x + (4x + 15)
45 = 5x + 4x + 15
45 = 9x + 15
45 - 15 = 9x
30 = 9x
x = 30/9
x = 3.33333333333333
Approximately,
x = 3
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