Categorical variable: job titles, location
Quantitative variable: starting salary, number of years post-experience
Categorical variables represent many data kinds that can be grouped. Race, sex, age, and educational level are a few examples of categorical variables.
In addition, categorical variables are any variables where the data represent groups, as opposed to quantitative variables, which are any variables where the data indicate amounts, such as height, weight, or age.
Learn more about variables here:
https://brainly.com/question/19585043?referrer=searchResults
#SPJ4
What is an equation of the line that passes through the points (-5, -5) and
(5, -7)?
Answer: You can use Math apps to help you easily
Step-by-step explanation:
solve [tex]x^{3}[/tex] = 27.
Answer:
Let's solve your equation step-by-step.
x3=27
Step 1: Take cube root.
x=(27) (1 )
(3)
x=3
Answer:
x=3
hope it helped!
Step-by-step explanation:
Question
You have 150 pieces of fabric to make a quilt. Each piece of fabric is a square with a side length of 4 inches. You use as many pieces of fabric as possible to create a square quilt.
The most pieces of fabric that can be used is 144 pieces, making a quilt with 12 pieces on each side.
What is a square?The square is a term to refer to a geometric figure that is characterized by being a type of parallelogram with four sides of equal length. A square is a regular polygon that has all its sides equal, and its interior angles measure 90º.
How to calculate what is the maximum number of pieces I can use to make a square quilt?To identify the number of square pieces that I can use to make a square quilt, I must keep in mind that to create a square quilt I must put the same number of pieces on each side of the quilt so that it forms a perfect square.
To identify the maximum number of pieces needed, we can try taking the square root of 150, 149, 148, 147... until the result is a integer number (no decimals). In this case the first integer that appears is 12 by taking the square root of 144 as shown below.
[tex]\sqrt[2]{144} = 12[/tex]
This means that to make a square quilt we must use 144 pieces in total and place 12 pieces on each side of the square. Additionally we can state that the side length of this quilt is 48 inches because each piece measured 4 inches on a side.
4 inches × 12 = 48 inches.
Learn more about square root in: https://brainly.com/question/3120622
#SPJ1
A pair of parallel lines is cut by a transversal.
If m∠A = (5x − 4)° and m∠B = (8x − 28)°, what is the value of x?
A) 8
B) 9.4
C) 16.3
D) 36
Answer:
A
Step-by-step explanation:
∠ A and ∠ B are alternate exterior angles and are congruent , then
∠ B = ∠ A , that is
8x - 28 = 5x - 4 ( subtract 5x from both sides )
3x - 28 = - 4 ( add 28 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
The larger of two numbers is one more than four times the smaller number. If the sum of the numbers is 106, find the numbers.
a
32,56
b
32,74
c
21,85
d
52,54
Answer:
c. 21, 85
Step-by-step explanation:
Define the variables:
Let the two numbers be x and y, where x > y.
Given information:
The larger of two numbers is one more than four times the smaller number.The sum of the number is 106.Create two equations from the given information and defined variables:
[tex]\begin{cases}x = 4y + 1\\x + y = 106\end{cases}[/tex]
Substitute Equation 1 into Equation 2 and solve for y:
[tex]\implies (4y+1)+y=106[/tex]
[tex]\implies 4y+1+y=106[/tex]
[tex]\implies 5y+1=106[/tex]
[tex]\implies 5y+1-1=106-1[/tex]
[tex]\implies 5y=105[/tex]
[tex]\implies \dfrac{5y}{5}=\dfrac{105}{5}[/tex]
[tex]\implies y=21[/tex]
Substitute the found value of y into the second equation and solve for x:
[tex]\implies x+21=106[/tex]
[tex]\implies x+21-21=106-21[/tex]
[tex]\implies x=85[/tex]
Therefore, the two numbers are 21 and 85.
Learn more about systems of equations here:
https://brainly.com/question/27868564
https://brainly.com/question/28281431
) In the next several games, the pitcher threw a total of
384 pitches and used a fastball 240 times. What
decimal should Juanita use to update her report?
Juanita should use the decimal
to update her
juanita should use 0.625 to update her report.
given that the pitcher threw 384 pitches and used fastball 240 times.
according to the information
240÷ 384
To divide a decimal number by a whole number, long divide as you would with two whole numbers, but put the decimal point in the answer at the same place it is at in the dividend. If it does not divide evenly, add a 0 to the end of the dividend and continue dividing until there is no remainder.
How do you divide decimals step by step?
The step-wise procedure for dividing decimals by a whole number is given below:
Step 1: Write the given division expression in the standard form.
Step 2: Now, we have to divide the decimal number's whole number part by the divisor.
Step 3: Place the decimal point in the quotient above the dividend's decimal point and then bring down the tenths' digit.
Step 4: If the tenth digit of the obtained dividend cannot be divided by the divisor, write 0 in the quotient and in front of the tenths' digit. Otherwise, proceed with the division process.
Step 5: Repeat the above step and keep adding the zeroes in the dividend until 0 is obtained in the remainder.
240 ÷ 384
⇒ 0.625
so juanita should use 0.625 to update her report
To know more about decimal divison
visit-: https://brainly.com/question/4708407
#SPJ9
What is the domain of f(x) = |x+2| ?
What is the domain of f(x) = -2x²+5 ?
The range of the function f(x) = x2 is larger than or equal to zero, and its domain includes all real numbers (x can be any number).
What is domain in math?
The collection of possible inputs into a function, or the set of input values for which the function is defined, is known as the domain of the function. The set of things that the machine will accept as inputs is known as the domain in the function machine paradigm.The domain of f(x) = |x+2| -
Real numbers only
The range of the function f(x) = x2 is larger than or equal to zero, and its domain includes all real numbers (x can be any number).
The domain of f(x) = -2x²+5
All real numbers fall under the expression's domain, with the exception of cases where it is undefined. In this instance, the phrase is defined even if there is no real number.
Learn more about domain
brainly.com/question/28135761
#SPJ9
Expand each logarithm. log 2 x³y⁻²
The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
To learn more about the logarithmic functions, visit here:
https://brainly.com/question/25710806
#SPJ4
Read and try to solve the problem below. Look at the circumference of each of the circles below. What do you think would be the circumference of a circle with diameter 1 cm? 2 cm C = 6.28 cm 3 cm C = 9.42 cm 4 cm C = 12.56 cm 2.5 cm C = 15.70 cm
The formula for calculation of circumference of the circle = d π or 2πr where d is diameter of circle and r is the radius of circle
As given in the question the circumference of the circle whose diameter is 2 cm is 6.28cm and we come to know that value of π used here is 3.14 and not 22/7
So, the circumference of the circle whose diameter is 1cm = d π
= 1 π
= 1 3.14
= 3.14 cm
Hence the circumference of the circle whose diameter is 1cm using the value of pi as 3.14 comes out to be pi that is 3.14 cm
To know more about circumference of the circle - https://brainly.com/question/11213974
#SPJ9
((12-18)/3-5) multiplied by (-4)
Answer:-8
Step-by-step explanation:hope it helps, brainliest? i could really use it
what is the solution set of this inequality 1<|x-3|<5
Answer:
-5 ≤ x ≤ 3
Interval notation : [-5 , 3]
Step-by-step explanation:
Gabriel measured a house and made a scale drawing. The garage, which is 12 meters long in real life, is 4 millimeters long in the drawing. What scale did Gabriel use for the drawing?
Using proportions, it is found that the garage is 14 millimeters wide in the drawing.
What is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
The rule of three is:
7 millimeters - 4 meters
x millimeters - 8 meters
Applying cross multiplication
4x = 7(8)
x = 56/4
x = 14
The garage is 14 millimeters wide in the drawing.
Learn more about proportions
brainly.com/question/2548537
#SPJ1
I already got one for part a but it's part b that im stuck on. please help!
well, a function will pretty much be some type of pattern.
something that doesn't behave in a quite predictable pattern
well, when it rains, the clouds come by and down you're wet, but is not as predicatable as we'd like.
the movement of stars.
eruption of volcanoes, very unpredictable.
downturns in the economy, check the 2008 market crash, many moving their heads both ways tried to see what happened, noone saw it coming, it just hit like a lightning.
there's another one, where a lightning strikes :).
combine like terms to simplify the expression. -2x^2+3y+2x^2+2+3y+2
Answer:
6y+4
Step-by-step explanation:
Let's simplify step-by-step.
−2x²+3y+2x²+2+3y+2
Combine Like Terms:
=−2x²+3y+2x²+2+3y+2
=(−2x²+2x²)+(3y+3y)+(2+2)
=6y+4
Nicole and Daniel are splitting a pizza. Nicole eats 1/4 of the pizza and Daniel eats 2/3 of it. How much pizza is left? Write an equation to represent this situation.
Answer:
1 - 1/4 - 2/3 = r
Step-by-step explanation:
N=1/4, D=2/3
whole pizza=1
r=remainder pizza
1 - 1/4 - 2/3 =r
(1 - 1/4 - 2/3 =r)*12 ==> multiply by 12 to get rid of denominators
12 - 12/4 - 12*2/3=12r
12-3-24/3=12r
9-8=12r
12r=1
r=1/12 of a pizza left
Answer:
1/12
Step-by-step explanation:
the common number of 3 and 4 is 12. You multiply 1/4 by three and you get 3/12, and you multiply 2/3 by 4 and you get 8/12. You add 8 and 3 and you get 11, that's the number that indicates the part of the eaten pizza. 12-11=1. 1/12 left from the pizza.
you have c pieces of candy to share among 6 friends what epression shows the nnmber of the candies each freind will get
Answer:1
Step-by-step explanation if c is for 6 its 1 p
Answer:
C/6
Step-by-step explanation:
you have c pieces to share with 6 friends.
Becky created a graph to represent her distance away from home one afternoon. She left home and ran to the park, met some friends and stayed at the park, and then walked back home using the same route. Which graph could Becky have created?
A graph titled Becky's distance from home. The horizontal axis shows time (minutes) and the vertical axis shows distance (miles). Both axes are unnumbered. The line shows an increase, constant, and decrease in distance.
A graph titled Becky's distance from home. The horizontal axis shows time (minutes) and the vertical axis shows distance (miles). Both axes are unnumbered. The line shows an decrease, constant, and decrease in distance.
A graph titled Becky's distance from home. The horizontal axis shows time (minutes) and the vertical axis shows distance (miles). Both axes are unnumbered. The line shows an increase and decrease in distance.
A graph titled Becky's distance from home. The horizontal axis shows time (minutes) and the vertical axis shows distance (miles). Both axes are unnumbered. The line shows a constant, decrease, and increase in distance.
First graph is correct which satisfies the given informations.
The graph is attached below.
Given:
Becky made a graph to show how far she was from her house.
She started jogging from zero distance from the house when she left and sprinted to the park, so the second and fourth graphs are incorrect.
She then spent some time at the park with some friends before returning home on the same path. The first one is accurate since we can see that for a brief while, the graph is parallel to the time axis, but the third one demonstrates that she hasn't taken a break.
Learn more about distance here:
https://brainly.com/question/5993643
#SPJ1
what do i subtract with a positive number to produce a negative number?
Answer:9
Step-by-step explanation:draw a line threw the equal sign, add 36 instead of subtracting it, which then would be 9.
Answer:
down below
Step-by-step explanation:
In order for you to get a negative number, you need to put in the variables place, 9.
9 is your answer.
x2 - 10x = -y2 + 16y - 40
Solving for X: x=40+y2+x2-16y
------------------------
10
solving for X_2: x2= -(40+y2-16y-10x)
how can you use the properties of operations to evaluate 18+4(28)
Answer:
130
Step-by-step explanation:
18+4(28)
18+112
130
A Blue Line train and a Yellow Line train just left the station at the same time. Blue Line trains run every 10 minutes, and Yellow Line trains run every 12 minutes. How long will it be until a Blue Line train and a Yellow Line train are at the station at the same time?
It takes 60 minutes (1 hour) for the Blue Line train and the Yellow Line train to be at the station at the same time, using their running time LCM.
How is the meeting time determined?The time that it will take the Blue Line train and the Yellow Line train to meet again at the station is determined using the Least Common Multiple or Factor.
The LCM is the smallest positive integer that is evenly divisible by both numbers, 10 and 12.
For instance, the LCM of 10 and 12 include 60 and 120 with 60 as the least.
Data and Calculations:The time the Blue Line runs is every 10 minutes.
The time the Yellow Line runs is every 12 minutes.
The LCM of 10 and 12 is 60 because 10 and 12 can divide 60 without a remainder.
Thus, it will take 60 minutes for the two trains to meet again at the station.
Learn more about Least Common Multiple at https://brainly.com/question/16054958
#SPJ1
can some one help me on the bottom question
The measure of the z value from the given figure is 6 2/3.
We need to find the unknown value for the given figure.
What are trigonometric ratios?In trigonometry, there are six trigonometric ratios, namely, sine, cosine, tangent, secant, cosecant, and cotangent. These ratios are written as sin, cos, tan, sec, cosec(or csc), and cot in short. Trigonometric ratios can be used to determine the ratios of any two sides out of a total of three sides of a right-angled triangle in terms of the respective angles.
Using trigonometric ratios we can find the z value.
From the given figure, tan θ = 4/6 ----(I) and also tan θ = z/10 ----(II)
Now, equation (I) = (II)
⇒ 4/6 = z/10
⇒ 4 × 10 = z × 6
⇒ 6z = 40
⇒ z = 40/6
⇒ z = 20/3
⇒ z = 6 2/3
Therefore, the measure of the z value from the given figure is 6 2/3.
To learn more about trigonometric ratios visit:
https://brainly.com/question/23130410.
#SPJ1
Find the distance between the points L(7,-1) and M(-2, 4). Answer in simplest exact
Form
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ L(\stackrel{x_1}{7}~,~\stackrel{y_1}{-1})\qquad M(\stackrel{x_2}{-2}~,~\stackrel{y_2}{4})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ LM=\sqrt{(~~-2 - 7~~)^2 + (~~4 - (-1)~~)^2} \implies LM=\sqrt{(-2 -7)^2 + (4 +1)^2} \\\\\\ LM=\sqrt{( -9 )^2 + ( 5 )^2} \implies LM=\sqrt{ 81 + 25 } \implies LM=\sqrt{ 106 }[/tex]
4. Calculate the length of each line segment.
Round answers to the nearest tenth of a
unit, when necessary.
a) AB
b) CD
c) EF
The length of AB is 4.47 units, the length of CD is 2.83 units and the length of EF is 5 units.
We are given different right angled triangles.
We need to find AB, CD and EF
We will do this by using the Pythagoras theorem.
Pythagoras theorem states that:
Hypotenuse² = Base² + Perpendicular²
For AB,
Hypotenuse = AB
Base = 2 units
Perpendicular = 4 units
So, we get that:
AB² = 2² + 4²
AB² = 4 + 16
AB² = 20
AB = √ 20
AB = 2√5 units
AB = 4.47 units.
For CD:
Hypotenuse = CD
Base = 2 units
Perpendicular = 2 units
So, we get that:
CD² = 2² + 2²
CD² = 4 + 4
CD² = 8
CD = √ 8
CD = 2√2
CD = 2.83 units
For EF:
Hypotenuse = EF
Base = 4 units
Perpendicular = 3 units
So, we get that:
EF² = 4² + 3²
EF² = 16 + 9
EF² = 25
EF = 5 units.
Therefore, we get that, the length of AB is 4.47 units, the length of CD is 2.83 units and the length of EF is 5 units.
Learn more about Pythagoras theorem here:
https://brainly.com/question/343682
#SPJ9
Select the correct answer. The following function describes the number of employees working at a company, in thousands, where t represents the number of years since the company revised the benefits package. A. The number of employees is decreasing by 90% every year. B. The number of employees is increasing by 90% every year. C. The number of employees is increasing by 50% every year. D. The number of employees is decreasing by 10% every year.
Answer:
c the number of employees is increasing by 50% every year
Answer:
c. number of employees is increasing by 50% every year
I dont know how to do this please help!
Hello and Good Morning/Afternoon:
Let's take this problem step-by-step:
We want to find the value of 'x':
[tex]\hookrightarrow \text{ thus we must first find the value of '4x'}[/tex]
[tex]\hookrightarrow \text{EC and GH are parallel lines intersected by the same line BG}[/tex]
[tex]\hookrightarrow \text{angles formed by the parallel lines and a intersecting lines}[/tex] [tex]\hookrightarrow \text{ are equal in measure }[/tex]
[tex]\hookrightarrow \text{thus angles BEC and EGH are equal in measure}[/tex]
Angle EGH is made up of two angles, ∠EGC and ∠CGH
∠EGC is 78 degrees∠CGH = ∠FGI = 14 degrees (Vertical Angle Theorem)⇒ ∠EGH = ∠EGC + ∠CGH = 78 + 14 = 92 degrees
Since ∠BEC = ∠EGH
[tex]\hookrightarrow 4x = 92\\\hookrightarrow x = 92/4 = 23[/tex]
Answer: 23
Hope that helps!
#LearnwithBrainly
Vertical Angle Theorem: two angles that are formed by two intersecting lines and are opposite each other are equal
The value of x is 23 because Angle FGI and Angle HGC are vertically opposite angles, the answer is 23.
What are vertically opposite angles?It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.
It is given that:
The triangle and two parallel lines are shown in the picture.
As we know, from the definition of the vertically opposite angle, two lines intersect each other at the intersecting point.
Angle FGI = Angle HGC = 14 degrees
4x = 78 + Angle HGC
4x = 78 + 14
4x = 92
x = 92/4
x = 23
Thus, the value of x is 23 because Angle FGI and Angle HGC are vertically opposite angles, the answer is 23.
Learn more about the vertically opposite angles here:
brainly.com/question/24287162
#SPJ2
Let f(x)=2 x+5 and g(x)=x²-3 x+2 . Perform each function operation, and then find the domain.
5 f(x) / g(x)
The values for 5 f(x) / g(x) = (10x+25) / x²-3 x+2
What are the domain of the function f(x)=2 x+5 and g(x)=x²-3 x+2?Given;
f(x)=2 x+5 and g(x)=x²-3 x+2
5 f(x)= 5(2x+5 )
= 10x+25
5 f(x) / g(x) = (10x+25) / x²-3 x+2
To learn more about the domain, visit;
brainly.com/question/956872
#SPJ4
The sum of three consecutive integers is -51. Find the value of the greatest of the three.
Answer:
The value of the greatest of the three is -16
How to find the value of the greatest of the three?Let the smallest of the integers be x - 2
So, the other integers are x - 1 and x
The sum of the integers is given as
Sum = -51
So, we have the following equation
x - 2 + x - 1 + x = -51
Evaluate the like terms in the above equation
So, we have the following equation
3x = -48
Divide both sides of the equation by 3
So, we have the following equation
x = -16
Hence, the value of the greatest of the three is -16
Read more about consecutive integers at
https://brainly.com/question/10853762
#SPJ1
WILL GIVE BRAINLIST TO BEST ANSWER
Arabella sells cars at a local dealership and gets paided by commission. she has already made $750 and will continue to earn $200 per car that's she sells. If her goal is to make $2750 by the end of the month, write + solve the equation below that models this months goal.
Answer:
$2,750 = $200x + $750
10 cars to meet the goal
Step-by-step explanation:
We will pull details we need to solve out of the question:
If her goal is to make 2,750 dollars, the money earned must equal at least $2,750.
If she's already made $750, then we can subtract that from what is needed left to make (or add it to what needs to be made).
Finally, she makes $200 per car. Let x equal the number of cars she sells.
Next, we will write an equation:
$2,750 = $200x + $750
Lastly, we will solve this equation.
$2,750 = $200x + $750
$2,000 = $200x
10 = x
She needs to sell 10 cars to meet her goal.
Write a radical function such that for its domain, the function is onto the set of real numbers such that y≤3
A radical function such that y≤3 is given by y=-√|x|+3 .
A radical function is defined as a function which has the independent variable within a radical sign.
A radical sign is also defined as the power of the variable to be a fraction.
We know that the n-th root of x is similar to x to the power of (1/n) .
The domain of the function is onto the set of real numbers which means that the domain contains all real numbers.
The range of the function is given as y≤3, that is the value of y can take a maximum value of 3.
Hence we can write a function where x ∈ R and y ≤ 3 .
Let us consider the function y=-√|x|+3
The above functions satisfies all the criteria for the question. It is a radical function and the maximum value can be 3 as -√|x| can have a max value of 0 for all x ∈ R .
To learn more about radical function visit:
https://brainly.com/question/11676335
#SPJ4