suppose that, and an equation with two variables, you know the value of one of the variables. Describe a method for finding the
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2|x-2|-12=0
Rearrange variables to the left side of the question
2|x-2|=12
Dividing both sides of the equation by the coefficent of variables
|x-2|=12/2
Reduce the fraction
|x-2|=6
Split into two variables
x-2=6 or x-2=-6
Rearrange variables to the left side of the equation
x=6+2
x=8 or x=-4
when x=8
LHS=2|8-2|-12=0
RHS=0
LHS=RHS
x=8 is valid
A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
A variable is a letter or symbol that stands in for any individual integer in a group of two or more. A constant is a letter or symbol that stands for a single particular number, whether it is known or unknown.
In mathematics, variables serve as stand-ins for unknowable numbers. Variables can be utilized in formulae, equations, and expressions in mathematics. When it's necessary to find the optimum solution, variables are frequently employed.
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<h2>Answer with explanation:</h2>
Let be the population mean.
As per given , we have
a)
Since, the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Given :
z-score :
b) P-value :
Critical value for 0.01 significance level =
c) Test decision : The test statistic value (3.87) is greater than the critical value (2.33), so we reject the null hypothesis.
d) Conclusion : We have enough evidence to support the claim that children from low-income families are exposed to more than 4.0 hours of daily background television.