Answer:
a) Median stays the same
b) Mean is decreased by $9
Step-by-step explanation:
The median is the number or the average of the two numbers that is in the middle of a sorted distribution of numbers,
Here the median number will be the 5th number counting from left or right from the sorted list of numbers. Therefor is is 891.
When 1027 is changed to 946 it will fall between 938 and 1002. So updated sorted list of numbers will now look like,
679, 715, 799, 844, 891, 917, 938, 946, 1002
Here also median will be the 5th number which will be equal to 891.
Therefore, , median will not change.
Mean is the value we get by taking the total value of the salaries and divide it by the number of employees.
In the initial case,
Mean =
When the salary is changed from $1027 to $946,
Mean=
Therefor we can see that Mean has decreased by $9.
12,17,23,23,25
mod = 23
median = 23
Answer:
w = 17
Step-by-step explanation:
Isolate the variable, w. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, subtract 13 from both sides of the equation:
4w + 13 (-13) = 81 (-13)
4w = 81 - 13
4w = 68
Next, divide 4 from both sides of the equation:
(4w)/4 = (68)/4
w = 68/4
w = 17
w = 17 is your answer.
~
Option 1. 
and option 4.
are equivalent to 
Step-by-step explanation:
Step 1:
The given expression is expanded as follows.
The -2 is multiplied with the 5x and then the -2 is multiplied with the 
.
So the expression becomes as follows;
This is the first option given so the first expression is equivalent.
Step 2:
Of the other four options, only the fourth expression has the fraction 
so the fourth expression is also equivalent.
Expressions 1 and 4 are equivalent to the given expression.
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
Read more on translation here: brainly.com/question/20720324
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