An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.
<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 given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.
(3m+7)/27 < n
Hence, the given statement can be modeled as (3m+7)/27 < n.
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Solution
Step 1:
There are three types of systems of linear equations in two variables, and three types of solutions.
1. An independent system has exactly one solution pair. The point where the two lines intersect is the only solution.
2. An inconsistent system has no solution.
3. A dependent system has infinitely many solutions.
Step 2
Solve the systems of the equations using the substitution method
Final answer
The system is dependent so there are infinite solutions.
Equivalent
Answer:
$18.5685 or $18.56
Step-by-step explanation:
The answer is $18.56 because 123.79 multiplied by 15% is $18.56
Answer:
a) P(x=5) = 0.2456
b) P(x≥6) = 0.3526
c) P(x<4) = 0.1887
Step-by-step explanation:
We can model this as a binomial experiment, with sample size n=10 and p=0.49.
To calculate the probability of having k subjects with very little confidence in the sample of 10, we solve:
a) We have to calculate P(x=5).
For a binomial variable with n=10 and p=0.49, this can be calculated as:
b) We have to calculate P(x≥6). This can be calculated as:
c) We have to calculate P(x<4). That is: