A scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
What is an ordinal scale?An ordinal scale is one that allows us to rank individuals or objects without saying anything about the significance of the differences between the ranks. The ordinal scale is the second level of measurement that reports data ranking and ordering without determining the degree of variation between them. Cases in the same class are regarded as equivalent. Movie ratings, political affiliation, military rank, and other variables that use ordinal scales are examples."Movie ratings" is an example of an ordinal scale. Students in a class, for example, could rate a movie using the scale below.Therefore, a scale that allows us to rank individuals or objects, but not say anything about the meaning of the differences between the ranks, is an ordinal scale.
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Complete the table (again)
Melissa buys 2 1/2 pounds of salmon an 1 1/4 pounds of swordfish. She pays a total of $31.25, and the swordfish costs $0.20 per pound less than the salmon. What would be the combined cost of 1 pound of salmon and 1 pound of swordfish
Answer:
$16.60
Step-by-step explanation:
Setup the formula to calculate the cost of each pound of salmon and swordfish for the 2.5 pounds of salmon (x) and 1.25 pounds of swordfish (y) which is equal to $31.25
2.5x + 1.25y = 31.25
Setup a formula to figure out how much a single pound of swordfish (y) is. The problem states it cost $0.20 less than a pound of salmon (x).
y = x - .20
Plug the y = x - .20 into the first equation.
2.5x + 1.25(x - .20) = 31.25
Distribute the 1.25 by multiplying it with x and -.20
2.5x + 1.25x - .25 = 31.25
Combine like terms, x on the left side
3.75x - .25 = 31.25
Add .25 to both sides to get x on one side
3.75x = 31.50
Divide both sides by 3.75 to get x by itself
x = 8.4
So, each pound of salmon, x, cost $8.40 per pound
Use y = x - .20 and plug in x = 8.4 to figure out how much a pound of swordfish cost.
y = 8.4 - .20
So, a pound of swordfish cost $8.20 per pound
The question wants to know the combined cost, z, of 1 pound of salmon, x, and 1 pound of swordfish, y.
x + y = z
8.4 + 8.2 = 16.6
The combined cost of 1 pound of salmon and 1 pound of swordfish is $16.60
Dorothy earns a regular hourly rate of $15.25 and earns double time and a half for weekend work. Dorothy worked her normal 40 hours and 8 weekend hours.
Answer:$976
Step-by-step explanation:
You sold your car for $1,000 which had cost $1,450. How much did you lose expressed as a %?.
Answer:
45%
Step-by-step explanation:
1,450 - 1,000 = 450
the 450 becomes 0.45
to make 0.45 a percent, we multiply it by 100
0.45 x 100 = 45
45%
Two points on the y axis that are 25 units from (-24,3)
The two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).
We are given a point:
( - 24 , 3 )
We need to find a point on the y - axis, that is 25 units away from the axis.
The coordinate of the point will be:
(0, y)
So, by using the distance formula, we get that:
D = √ ( y₂ - y₁)² + ( x₂ - x₁)²
25 = √ ( y + 3)² + (0 + 24)²
625 = y² + 9 - 6 y + 576
625 = y² - 6 y + 585
y² - 6 y - 40 = 0
y² - 10 y + 4 y - 40 = 0
y ( y - 10 ) + 4 ( y - 10 ) = 0
(y - 10)(y + 4) = 0
y = - 4 or y = 10.
So, the two points will be:
(0, 10) and (0, - 4)
Therefore, we get that, the two points on the y axis that are 25 units from (-24,3) will be (0, 10) and (0, - 4).
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Given the following list of values, is the mean or the median likely to be a better measure of the center of the data set? 26, 29, 27, 28, 29, 27, 27, 53, 25, 29
The mean of the data is 30 and the median of the data is 27.5.
What are the mean and median?Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data. The mean of the data will be calculated by adding all the numbers and dividing it by the quantity of the numbers.
The median of the data generally refers to the middle most value of the series. The median of the data is calculated by arranging the numbers in increasing order and getting the middle value of the numbers.
Given data is 26, 29, 27, 28, 29, 27, 27, 53, 25, 29 arrange all the numbers in increasing order.
25,26,27,27,27,28,29,29,29,53
Mean = Sum of all the numbers / Total numbers
Mean = (25 + 26 + 27 + 27 + 27 + 28 + 29 + 29 + 29 + 53 ) / 10
Mean = 300 / 10
Mean = 30
Median = ( 27 + 28 ) / 2 = 27.5
Therefore, the mean of the data is 30 and the median of the data is 27.5.
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Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer: x=0.5, y=1
Step-by-step explanation:
-4x+3y=1
6x-y=2
6x-2=y
-4x+3(6x-2)=1
-4x+18x-6=1
-4x+18x=7
14x=7
x=0.5
6x-y=2
6(0.5)-y=2
3-y=2
y=1
Let's change the equation,
→ 6x - y = 2
→ y = 6x - 2
Then the value of x will be,
→ -4x + 3y = 1
→ -4x + 3(6x - 2) = 1
→ -4x + 18x - 6 = 1
→ 14x = 1 + 6
→ x = 7/14
→ [ x = 1/2 ]
Hence, the value of x is 1/2 (or) 0.5.
Now the value of y will be,
→ y = 6x - 2
→ y = 6(1/2) - 2
→ y = 3 - 2
→ [ y = 1 ]
Hence, the value of y is 1.
Enter the numerator and denominator of the fraction in simplest form that is equal to the decimal number shown.
0.8 repeating
Answer:
4/5
Step-by-step explanation:
8/10
=4/5
Answer:
8/9!!
all credit goes entirely to the person in comments for giving us all the right answer.
Select the graph of the solution. Click until the correct graph appears.
|x| < 4
Answer:
Image 2: a segment from -4 to 4 with the endpoints excluded (with empty circles).
Step-by-step explanation:
|x| < 4 means "the distance from x to 0 is less than 4". That means that any number bigger than -4 and smaller than 4 matches the inequality from the question.
Side note: Please start analyzing the absolute values as "distance from 0" and you'll be able to solve those questions yourself with less effort.
there are 24 baseball teams in a league
each team plays two matches against each of the other teams
work out the total number of matches played
Answer: 125
Step-by-step explanation:
The total number of matches played is 552.
What is the combination?Each of the different groups or selections can be formed by taking some or all of a number of objects, irrespective of their arrangments is called a combination.
The given parameters are as;
Teams = 24
Matches against each other = 2
Therefore, the total number of matches played is;
Total = Teams * (Teams - 1)
This gives;
Total = 24 * (24 - 1)
Evaluate;
Total = 552
Hence, the total number of matches played is 552.
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A line has no thickness, but it does have direction and ___ length.
(Fill in the blank)
A line has no thickness, but it does have direction and infinite length.
A line has length but no width, making it a one-dimensional figure. A line is made up of a collection of points that can be stretched indefinitely in opposing directions.
Given the variety of geometries in modern mathematics, the idea of a line is directly related to how the geometry is described. For instance, a line in the plane is frequently defined in analytic geometry as the collection of points whose coordinates satisfy a given linear equation, but in a more abstract context, such as incidence geometry, a line may be an independent object, distinct from the collection of points that lie on it.
In cartesian plane the general equation of a line is given by :
y=mx+c where the slope is denoted by m and the y-intercept by c.
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(PLEASE HELP!) Annie wishes to build a set of five stairs according to the plan below.
(a) How high is each step?
(b) How wide is each step, correct to 2 decimal places?
Answer:
a)
sin30=high of steps/175
sin30=1/2
so
high of steps= 175/2
high of steps=87.5cm
b)
cos30=wide/175
cos30=3^1/2÷2
wide=175*3^1/2÷2
3^1/2=1.73
so
wide=175*1.73/2
wide=151.37
2. Write an algebraic equation and solve it
There are 70 passengers on a bus. At a bus stop, m passengers got off. There (2 passengers left. How many passengers got off the bus?
I would like the answers to one and two bit the bottom ones
The numeric values for the functions are given as follows:
6 - a) f(-2) = -13.
6 - b) g(4) = 11.
How to find the numeric value of a function?To find the numeric value of a function, we replace each instance of the variable by the desired value.
At item 6a, the function is given by:
f(x) = 5x - 3.
The numeric value at x = -2 is:
f(-2) = 5(-2) - 3 = -10 -3 = -13.
Hence f(-2) = -13.
At item 6b, the function is given by:
g(x) = 0.5x² + 3.
The numeric value at x = 4 is:
g(4) = 0.5(4)² + 3 = 8 + 3 = 11.
Hence g(4) = 11.
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Let f(x)=2x^2-9x-5 and g(x)=x-5. what are (f•g)(x) and (f/g)(x)?
The values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1
How to evaluate the composite functions?The functions are given as:
f(x) = 2x^2 - 9x - 5
g(x) = x - 5
The composite function (f.g)(x) is calculated as
(f.g)(x) = f(x) * g(x)
This gives
(f.g)(x) = (2x^2 - 9x - 5) * (x - 5)
Evaluate the product
(f.g)(x) = 2x^3 - 9x^2 - 5x - 10x^2 + 45x + 25
Evaluate the like terms
(f.g)(x) = 2x^3 - 19x^2 + 40x + 25
The composite function (f/g)(x) is calculated as
(f/g)(x) = f(x)/g(x)
This gives
(f/g)(x) = (2x^2 - 9x - 5)/(x - 5)
Factorize the numerator
(f/g)(x) = (2x + 1)(x - 5)/(x - 5)
Evaluate the quotient
(f/g)(x) = 2x + 1
Hence, the values of the composite functions are (f.g)(x) = 2x^3 - 19x^2 + 40x + 25 and (f/g)(x) = 2x + 1
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Sara divided up her dessert among her family. She gave her daughter 1/8 of the dessert, her son 1/4 of the
dessert, and her husband 3/8 of the dessert. How much of the dessert was left for Sara?
Answer:
¹/₄
Step-by-step explanation:
Given:
Daughter = 1/8 of the dessert.Son = 1/4 of the dessert.Husband = 3/8 of the dessert.The dessert is the "whole", i.e. equal to 1.
To find how much of the dessert was left, subtract all the given portions from 1:
[tex]\begin{aligned}\textsf{Dessert left for Sara} & = 1-\dfrac{1}{8}-\dfrac{1}{4}-\dfrac{3}{8}\\\\& = \dfrac{8}{8}-\dfrac{1}{8}-\dfrac{2}{8}-\dfrac{3}{8}\\\\& = \dfrac{8-1-2-3}{8}\\\\& = \dfrac{2}{8}\\\\& = \dfrac{1}{4}\end{aligned}[/tex]
Therefore, ¹/₄ of the dessert was left for Sara.
Answer:
2/8 (or) 1/4
Step-by-step explanation:
The amount of desert she served is,
→ 1/8 + 1/4 + 3/8
→ (1 + 2 + 3)/8
→ 6/8
Then amount of desert left for Sara is,
→ 1/1 - 6/8
→ (8 - 6)/8
→ 2/8 (or) 1/4
Hence, she was left with 2/8 of desert.
What is the solution set for the equation l3x + 2 = 5?
Answer:--------X=3/13---------
Step-by-step explanation:
Police stop every fifth car at a sobriety checkpoint.
Answer:
20%
Step-by-step explanation:
Every fifth car would be 1/5 or 20%
this is so in the morning & i need these answers!! :\
Does the ordered pair (3, 5) make the inequality x−3>2y true or false?
Answer:
Step-by-step explanation:
first let : x = 3 and y = 5
so x-3 means 3-3 = 0
and 2y means 2 * 3 = 6
therfore x-3 > 2y means 0 > 6, false
if p=(3,1) and Q=(-3,-7), find the equation of the circle that has segment PQ as the diameter (x-{?})^2+(y-{?})^2={?}
Answer:
x² + (y + 3)² = 25
Step-by-step explanation:
the centre (C) of the circle is at the midpoint of the diameter.
using the midpoint formula
midpoint = ( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
with (x₁, y₁ ) = P (3, 1 ) and (x₂, y₂ ) = Q (- 3, - 7 )
C = ( [tex]\frac{3-3}{2}[/tex] , [tex]\frac{1-7}{2}[/tex] ) = ( [tex]\frac{0}{2}[/tex] , [tex]\frac{-6}{2}[/tex] ) = (0, - 3 )
the radius r is the distance from the centre to either P or Q
using the distance formula
r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = C (0, - 3 ) and (x₂, y₂ ) = P (3, 1 )
r = [tex]\sqrt{(3-0)^2+(1-(-3)^2}[/tex]
= [tex]\sqrt{3^2+(1+3)^2}[/tex]
= [tex]\sqrt{3^2+4^2}[/tex]
= [tex]\sqrt{9+16}[/tex]
= [tex]\sqrt{25}[/tex]
= 5
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (0, - 3 ) and r = 5 , then
(x - 0 )² + (y - (- 3) )² = 5² , that is
x² + (y + 3)² = 25
The area of a certain desert (Desert 1) is four times the area of another desert (Desert 2). If the sum of their areas is 15,000,000 square miles,
find the area of each desert.
Question content area bottom
Part 1
What is the area of Desert 1?
What is the area of Desert 2?
Answer:
Area of Desert 1 = 12,000,000 Area of Desert 2 = 3,000,000
Step-by-step explanation:
x+y=15,000,000
x=4y
4y+y=15,000,000
5y=15,000,000
y=3,000,000
b) Find the value of 2a2 + 5b2 when a = -6 and b = 2
Answer: -4 because 2(-6)2 = -24 and 5(2)2 = 20 so -24 + 20 is -4.
Answer:-4
Step-by-step explanation:
2(-6)2
2 x -6 x 2=-24
5 x 2 x 2=20
-24+20=-4
Solve each question for the variable.
7. p+12,982= 25,000 (1 point)
Op = 12,010
Op=12,018
Op = 12,028
Solve each question for the variable.
8. 912+e=1,201 (1 point)
Oe=389
Oe=299
Oe=289
Solve each question for the variable.
3. 918.2 + v= 1,920.8 (1 point)
Ov=1,000.6
Ov=1,002.6
Ov= 1,001.6
Solve for x.
z=9(x+2)
Answer:
Step-by-step explanation:
z=9(x+2)
z=9x+18
Subtract 18 from both sides
z-18=9x+18-18
z-18=9x
Divide both sides by 9
z-18/9 =x
Therefore
X= z-18/9
Solve the equation v² = 36. What’s the value of v?
Answer:
6
Step-by-step explanation:
6 x 6 = 36
Please help me out with 3 questions..
Each part of the question is plotted on the number line as an image with the solution.
How are rational numbers represented on the number line?
On the number line, rational numbers could be represented. Origin refers to the numeric line's center (O). The illustration of rational numbers shows positive numbers here on the right side of zero, or the origin, and negative numbers on the left. Depending on the kind of fraction, rational numbers are represented differently on the number line.(1) [tex]\frac{-3}{8} , 1\frac{1}{5} = \frac{6}{5} = 1.2 , \frac{-3}{4}[/tex] are plotted on the number line as an image with the solution.
(2) -13+15+(-8) = -6 is plotted on the number line as an image with the solution.
(3) [tex]\frac{3-(-14)}{7} = \frac{17}{7} = 2.429, \frac{-36+58}{-11} = -2[/tex] are plotted on the number line as an image with the solution.
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Add using the number line.
7+(-10)
Drag and drop the word SUM to the correct value on the number line.
-18 -16 -14 -12 -10 -8 -6 -4 -2 0 2 4 6 8 10 12 14 16 18
SUM
7+(-1) = -3
Steps of adding 7+(-10) using number line are as following:
1) Draw a number line by ranging from -10 to +10.
2) Point out 7 on the number line.
3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.
4) The number we reach -3 on left side would be our final sum.
5) From the number we can clearly see that moving 10 number on left to 7, we get -3.
Note: We are moving left because of negative sign in front of 10.
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Describe and correct the error in using the diagram to find the value of x
Step-by-step explanation:
It's simple in the following diagram ( 13x + 45)° + (19x +3)° won't be equal to 180° as they are vertically opposite angle...... and are vertically opposite to each other...
So to find the value of x :
13x + 45° = 19x + 3°
13x - 19x = 3 - 45
-6x = - 42
x = -42 / -6
x = 7°
☘☘☘...
A is 50% acid sulotion. And B is an 80% sulotion determin how much of each sulotion he need to create 200 ml of 68% sulotion
Solving a system of equations we can see that we need to use 120 ml of the 80% solution, and the other 80ml are of the 50% solution.
How much of each we should mix?
Let's define the variables:
x = ml of A solution used.y = ml of B solution used.We know that we want to make 200ml, then:
x + y = 200
And the concentration of these 200ml must be of 68%, then the concentrations in the left side and in the rigth side must give the same value, so we can write:
x*0.5 + y*0.8 = 200*0.68
(the concentrations are written in decimal form)
Then we have the system of equations:
x + y = 200
x*0.5 + y*0.8 = 200*0.68
To solve it we start by isolating x in the first equation:
x = 200 - y
Replacing that in the other equation we get:
(200 - y)*0.5 + y*0.8 = 200*0.68
Now we can solve this for y, we will get:
100 - y*0.5 + y*0.8 = 136
y*0.3 = 136 - 100 = 36
y = 36/0.3 = 120
So we need to use 120 ml of the 80% solution, and the other 80ml are of the 50% solution.
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