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To solve the algebraic expression, add or subtract the variables with same power of variable.
The result of the given problem after simplifying is,
Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
To solve the algebraic expression, add or subtract the variables with same power of variable.
Given information-
The given numbers are,
All the four number given in the form of unknown number and
.
The result, need to be find is,
Let the result of above expression is . Thus,
Put the values to solve it further,
Solve it further by open the bracket as,
Hence the result of the given problem after simplifying is,
Learn more about the algebraic expression here;
Question:
(c) Boris also took a logic test. His z-score on that test was +0.93 . Does this change the answer to which test Boris performed better on? Explain your answer using z-scores.
Answer:
The answers to the questions are;
(a) Based on the z score, Boris perform better on his aptitude test.
(b) Based on the z score, Callie perform better on his knowledge test .
(c) For Boris since +0.93 = >
>
Yes as Boris now performed best on the logic test.
Step-by-step explanation:
The z-score of a score is a measurement of the score withe respect to its distance from the mean as a factor of the standard deviation.
To solve the question, we note that we are required to find the z score as follows.
z score is given by
Where:
z = Standard score
x = Score
σ = Standard deviation
μ = Mean
(a) To find out which test did Boris performed better usin z score, we have
Boris scored a
57 on the knowledge test and
106 on the aptitude test
Therefore the z sore for the knowledge test is
Here
x = 57
μ = 60
σ = 4.3
Therefore
= -3/4.3 = -30/43 = -0.6977
The z sore for Boris on the aptitude test is
Here
x = 106
μ = 110
σ = 7.1
= -40/17 = -0.5634
Based on the z score, Boris perform better on the aptitude test as his z score is higher (on the number line), --0.5634, compared to the z score on the knowledge test , -0.6977
(b) For Callie we have
Callie scored a
63 on the knowledge test and
114 on the aptitude test
Therefore the z sore for the knowledge test is
Here
x = 63
μ = 60
σ = 4.3
Therefore
= 3/4.3 = 30/43 = 0.6977
The z sore for Callie on the aptitude test is
Here
x = 114
μ = 110
σ = 7.1
= 40/17 = 0.5634
Based on the z score, Callie perform better on the knowledge test as his z score is higher (on the number line), 0.6977, compared to the z score on the aptitude test , 0.5634.
(c) If = +0.93 then sinc for Boris
= -0.6977 and
= - 0.5634 then
>
>
Therefore Boris now performed best on the logic test.