Algebraic expression is the expression which consist the variables, coefficients and the constants. The expression for the condition given in the problem is 
.
Given information
A cab driver is paid $6 plus $0.45 per mile driven.
Total number of total miles is <em>m.</em>
<h3>
Algebraic expression</h3>
Algebraic expression is the expression which consist the variables, coefficients and the constants. The algebraic expression are used to solve the condition based problems by expressing them into the algebraic form.
As the cab driver is paid $6 as the fixed amount of the taxi irrespective to the mile driven. Thus this is independent to the other variables and written as the constant in the expression.
As the total miles driven by the cab driver is<em> m</em>. The cost of the per mile driven the car is $0.45. Thus the expression for this condition can be given as,
Hence, the expression for the condition given in the problem is .
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The reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.
<h3>What is the Reciprocal of a Number?</h3>
The reciprocal of a number can be described as the inverse of that number. For example, if a is given as a real number, therefore, the reciprocal of a would be 1/a.
Another example is a/b. The reciprocal of a/b is b/a.
Thus, the reciprocal of -2/5 is -5/2.
Expressing this as a decimal, we would have:
-5/2 = 2.5 (nearest tenth).
Therefore, the reciprocal of -2/5, expressed as a decimal to the nearest tenth is: -2.5.
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According to the given information the result: m < k < j
The correct option is E.
<h3>What is negative integer?</h3>
A number with a minus (-) sign before it is said to be negative if its value is always less than zero. The left side of zero on a number line is where negative numbers are displayed. A couple more negative values include -6 and -15.
<h3>According to the given information:</h3>
Given that x is a negative integer, j must be positive because the least negative number, which is k, yields a negative number when squared. Also negative will be m.
J has the largest value, as far as we are aware.
For all x values, it is impossible to compare k and m. When x=1 and k=1 respectively, m and k are smaller.
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Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable c: number of child bikes.
- Variable a: number of adult bikes.
Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:
4c + 4a = 100.
c + a = 25.
With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:
c + a = 26
20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
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Answer:
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
Step-by-step explanation:
step 1:-
Given sample survey former UF students n = 1532
84% said they were still in love with Tim Tebow
p = 0.84
The survey sampling error
Given standard error of proportion = 2% =0.02
<u>Step 2</u>:-
The 99% of z- interval is 2.57
The 99% of confidence intervals are
p ± zₐ S.E (since sampling error of proportion = 
on simplification , we get
(0.84 - 0.0514 , 0.84 + 0.0514)
(0.79 , 0.89)
<u>conclusion</u>:-
confidence interval for the proportion of all former UF students who are still in love with Tim Tebow.
(0.79 , 0.89)
