A graph's correlation between two variables reveals the relationship between them. The correlation is given a name based on the characteristics of the variables represented on the graphs.
What does the term correlation mean?
The data points of a person with two different factors are related in a scatterplot. The term "correlation" refers to this connection.
A correlation is the relationship between any two variables represented on any graph.
The correlation is divided into three main categories based on the sort of relationship between the variables. Those are
i) Positively correlation
ii) Negative correlation
iii) No correlation
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Which of the following is equivalent to 6a + 4b + 3c?
10ab + 3c
4b + 6a + 3c
13abc
6a + 7bc
Answer: 4b+6a+3c
Step-by-step explanation:
Please help me asap!! I will try an give brainliest to the person who has the correct answer! (The equation that I answered in the picture was on accident, I'm not sure if that is the actual answer.)
Thank you!
Answer:
Your answer would be the last one since that's the one that doesn't have a changed result when the numbers are moved around.
Will give brainly and 20 points
Question 3
Answer:
I think the answer is d..
What is 1 3/4 x 2 2/3?
A. 2 1/2
B. 3 5/12
C. 4 2 / 3
D. 4 6 /7
Answer:
4 2/3
Step-by-step explanation:
1 3/4 x 2 2/3
We need to change the mixed numbers to improper fractions
1 3/4 = ( 4*1+3) /4 = 7/4
2 2/3 = ( 3*2 +2) /3 = 8/3
7/4 * 8/3
Rewriting
7/3 * 8/4
Simplify
7/3 *2
14/3
Make this a mixed number
4 goes into 14 4 times with 2 left over
4 2/3
Answer:
[tex]4\frac{2}{3}[/tex]
Step-by-step explanation:
[tex]1\frac{3}{4} *2\frac{2}{3}[/tex]
First, make fractions as improper fractions.
[tex]\frac{7}{4} *\frac{8}{3}[/tex]
Now multiply the answers.
[tex]\frac{56}{12}[/tex]
Now make the answer a mixed number.
[tex]4\frac{8}{12}[/tex]
To write the answer in its simplest form, divide the numerator and denominator by 4.
[tex]4\frac{2}{3}[/tex]
what is the answer to (b+3f)a=g
Answer:
f= -g/3
Step-by-step explanation:
3. If f(x) = 2 x x³, which type of function is f?
Answer:
I believe cubic function
Step-by-step explanation:
the x^3 represents a cubic function
Pls help PLEASE
x/3 + x-1/4=2+x.
Find X
Answer:
27/5
Step-by-step explanation:
x/3+x-1/4 = 2+x
4x+3x-3/12=2+x
7x-3=24+12x
7x-12x=24+3
5x=27
x=27/5
find the coordinates of the point 3/10 of the way from a to b. a= (-3, -5) b = (10, 7)
[tex]\displaystyle\\Answer:\ (0,-\frac{29}{13} )[/tex]
Step-by-step explanation:
[tex]\displaystyle\\A(-3,-5)\ \ \ \ \ B(10,7) \ \ \ \ \ \lambda=3/10=0.3\ \ \ \ \ C(x_C,y_C)=?\\\\\boxed {x_C=\frac{x_A+\lambda x_B}{1+\lambda} }\ \ \ \ \ \ \ \ \ \ \boxed {y_C=\frac{y_A+\lambda y_B}{1+\lambda} }\\\\x_C=\frac{-3+0.3(10)}{1+0.3} \\\\x_C=\frac{-3+3}{1.3} \\\\x_C=\frac{0}{1.3}\\\\x_C=0\\[/tex]
[tex]\displaystyle\\y_C=\frac{-5+0.3(7)}{1+0.3} \\\\y_C=\frac{-5+2.1}{1.3} \\\\y_C=\frac{-2.9}{1.3} \\\\y_C=-\frac{2.9(10)}{1.3(10)} \\\\y_C=-\frac{29}{13}[/tex]
[tex]\displaystyle\\Thus,\ C(0,-\frac{29}{13} )[/tex]
Select three names for the angle.
<B, <ABC, <CBA
based off the image
Finn and Elmer are comparing their bank accounts. Finn has $27.10 in his account while Elmer has overdrawn his account and it has -$51.89 in it. How much more money does Finn have in hiss account than Elmer.
If A = 50 degrees, B = 62 degrees, and a = 4, find b
round to nearest tenth
heeeeelp!!
Using the sine rule we estimate the value of b to be approximately 4.6 units.
The sine law, often referred to as the sine formula, sine rule, or law of sines, is a trigonometrical equation that connects the lengths of any triangle's sides to its sines.
When just two angles and one side of a triangle are known, the rule of sines can be used in the triangulation process to identify the other sides. When two sides and one of the non-enclosed angles are known, it can also be used. These facts do not always prove the triangle, hence the technique in some of these circumstances provides two reasonable estimates for the enclosed angle (this is known as the ambiguous case).The sine rule states that [tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex] , where A ,B and C are the three vertices of the triangle and a, b and c are the three side lengths.
Given A = 50° and B = 62 ° and a = 4 .
Now we use the given values to :
[tex]\frac{4}{sin50} =\frac{b}{sin62}[/tex]
or, b = 4.6104...
or , b ≈ 4.6
Hence the length of b is 4.6
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30 POINTS FOR AN EXPLANATION TOO (DETAILED PLS)
The value of x based on the equation given as 3(4x + 6) = 9x + 12 is -2.
How to illustrate the equation?It should be noted that an equation shows that relationship between the variables that are given or illustrated in the data.
The value for x based on the equation will be:
3(4x + 6) = 9x + 12
Open bracket
12x + 18 = 9x + 12
Collect like terms
12x - 9x = 12 - 18
3x = -6
Divide
x = -6/3
x = -2
Therefore, x is -2.
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A box of cereal contains 24 ounces.
It costs $5.52. What is the cost, to the nearest cent,
of the cereal per ounce?
A $0.23
B $2.35
Write and solve an expression.
C $4.26
D $28.89
The cost of one ounce of cereal is $0.23
Given:
Amount of cereals a box contain = 24 ounces
Cost of one box = $5.52
Cost of cereal per ounce = Cost of cereal / Amount of cereals in a box
Cost of cereal per ounce = $5.52 / 24
Cost of cereal per ounce = $0.23
What is Ounce ?An ounce is any of various units of mass, weight or volume derived almost invariably from the ancient Roman unit of measure, the ounce. an avoirdupois ounce is 1⁄16 avoirdupois pound; it is the US and British imperial ounce. 1 ounce is equal to 437.5 grains or 28.349 grams, A US customary fluid ounce is 1⁄16 of a US liquid pint and 1⁄128 of a US liquid gallon or exactly 29.5735295625 mL.
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Do the ratios 9 6 and 12 8 form a proportion?
The ratios 9:6 and 12:8 does not form a proportion, since the products of the two are not equal.
Given we have two ratios:
9:6 and 12:8
An equation in mathematics that shows that two ratios expressed in fraction form are equivalent is known as a proportion. The rule that says a/b= c/d if and only if ad=bc allows us to assess whether two ratios, a: b and c: d, constitute a proportion.
To determine if 9:6 and 12:8 form a proportion, we use the rule of proportion.
That is, 9/12 = 8/6
If only if 9×6=12×8
Therefore, 9×6=54
and 12×8=96
since these two products are not equal, we have that 9:12 and 8:6 do not form a proportion.
Hence the ratios 9:6 and 12:8 are not in proportion.
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A grocery store sells a bag of 4 oranges for $2.84. How much would it cost for 5 oranges?
Answer: $3.55
Step-by-step explanation:
5 oranges * $2.84/4 oranges =
5 oranges * $0.71/1 orange=
5 oranges/1 orange * $0.71=
5/1 * 0.71=
5*0.71=$3.55
I Will Mark Brainlist please Help !!! Its A Math Question Thank you have a Great Day!
The correct answer is option C that is on step 4 - 5 the right side should have been ± i.
A quadratic polynomial function is the one which can be written in the form ax² + bx + c = y where a, b and c are coefficients and x, and y are independent and dependent variables respectively. The quadratic polynomial function is solved using Completing the square method. In this method the quadratic polynomial is converted into the form (x + a)² in order to find the roots of the quadratic polynomial. Here, the steps 1, 2 and 3 are correct but in step 4 after taking square root on both the sides the value of √-1 is not taken as ± i and further it is solved. This becomes an error as we know that the value of √-1 = ± i and if not taken properly errors occur.
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A cylindrical container is to be constructed so that the sum of its height and its diameter is 15 feet.
a) Write an equation relating the height of the cylinder, h, to its radius, r. Solve the equation for h in terms of r.
b) The volume of a cylinder is given V=πr^2h. Use your answer in part A to express the volume of the cylindrical container in terms of r alone. Leave your expression in factored form so that it will be easier to analyze.
c) What are the values of r for which this problem makes sense? Explain.
From the characteristics of the given cylinder, we have that:
a) The equation is h = 15 - 2r.
b) The volume of the cylinder is of V = πr²(15 - 2r).
c) The values of r should be in the range of 0 < r < 7.5.
What is the volume of a cylinder?The volume of a cylinder of radius r and height h is given according to the following equation:
V = πr²h.
The sum of the height and the diameter is of 15 feet, hence:
h + d = 15.
The diameter is twice the radius, hence:
h + 2r = 15.
For item a, the solution of h in terms of r is:
h = 15 - 2r.
Hence, in item b, the equation is:
V = πr²h.
V = πr²(15 - 2r).
For item c, there are two constraints, as follows:
r > 0, as the radius of a cylinder cannot be negative nor zero.r < 7.5, as the height must be positive.More can be learned about the volume of a cylinder at https://brainly.com/question/9554871
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f(x)=x^2-2x-10 transforming Q. F. Form general form to vertex form
As a result of this definition, vertices are intersection of two lines that create an angle as well as the corners of polygons and polyhedra.[tex]f(x)=x^2-2x-10[/tex] general form to vertex form is y=[[tex](x-1)^{2}[/tex]-9]
What is a vertex?The intersection of two or more curves, lines, or edges is known as a vertex in geometry (plural: vertices or vertexes), which is frequently represented by the letters S, P, Q, or R. As a result of this definition, vertices are intersection of two lines that create an angle as well as the corners of polygons and polyhedra.
The point where two rays start or meet, where two line segments join or meet, where two lines intersect (cross), or any other suitable arrangement of rays, segments, and lines that results in two straight "sides" coming together at one location is the vertex of an angle.
[tex]f(x)=x^2-2x-10[/tex]
= [[tex](x-1)^{2}[/tex]-9]
Use the form, [tex]ax^{2} + bx+c[/tex]
a=1
b=2
c=-10
Consider a vertex form of parabola,
[tex]a(x+d)^{2} + e[/tex]
find the value of d, using the formula d=[tex]\frac{b}{2a}[/tex]
d=[tex]\frac{2}{2*(-1)}[/tex]
simplify the right side,
d= -1
find the value of e, using e= [tex]c-\frac{b^{2} }{4a}[/tex]
e= [tex]-10\frac{2^{2} }{4*(-1)}[/tex]
simplify the right side,
e= -9
substitute the value of a, d and e into vertex form.
y= [[tex](x-1)^{2}[/tex]-9]
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The following table shows inflation over the given period.
Time span
1970-2010
1980-2010
Inflation
462%
164%
The following table shows average house priced for the given year:
Year
Average
home sale
1970
1980
$18,300
1990
1990-2010
67%
2000
2000-2010
26%
2010
$47,200
$79,100
$119,600
price
a) Find the percentage change in the home sale price between the year 1970 and 2010 using the above table
$156,000
The percentage change in the home sale price between the year 1970 and 2010 is 13.01%
What is percentage?It is a relative value used to denote hundredths of any quantity. One percent (symbolized as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. A number's percentage is its weight in relation to 100. For example in the case, there are 26 females and 24 boys in a class. 52% of the class is made up of girls, which means that out of 100 students, 52 are female.
Given Data
Average home sale
1980 = $18300
1990 - 2010= $2000
Percentage sale = [tex]\frac{20300}{156000}[/tex] × 100
Percentage sale = 13.01
The percentage change in the home sale price between the year 1970 and 2010 is 13.01%
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-3x= 2x^2 -4 solve using quadratic formula
Solution of the given equation -3x =2x² -4,using quadratic formula is (-3 ±√41) /4.
As given in the question,
Given equation is:
-3x =2x² -4
Rearrange the terms in proper order:
2x² + 3x -4 =0
Solve it using quadratic formula
x = (-b ±√b²-4ac)/ 2a
Here compare the given equation with general quadratic equation:
a =2 , b=3 , c=-4
Substitute the values in the quadratic formula we get,
x = [ -3± √(3)² -4(2)(-4)]/2(2)
= (-3 ± √9+32)/4
= (-3 ±√41) /4
Therefore, Solution of the given equation -3x =2x² -4, using quadratic formula is (-3 ±√41) /4.
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How many solutions will each system of linear equati
solutions.
y = x + 6 and 3x - 3y = -18
y = −4x + 11 and −6x + y = 11
y = -2x + 5 and 2x + y = -7
y = x + 6 and 3x - 3y = -18 will have no solution (parallel lines)
y = −4x + 11 and −6x + y = 11 will have unique solution (intersecting lines)
y = -2x + 5 and 2x + y = -7 will have no solutions (parallel lines)
taking first set of equations,
y = x + 6 and 3x - 3y = -18
rearranging it in the ax+by=c form we get,
x - y = 6
3x - 3y = -18
a1=1, b1= -1, c1= 6
a2=3, b2= -3, c2= -18
now comparing,
1/3 = 1/3 ≠ 6/(-18) 0r -1/3
thus, we get a1/a2=b1/b2≠c1/c2, which satisfies the condition for parallel lines, thus there will be no solution.
taking second set of equations,
y = −4x + 11 and −6x + y = 11
rearranging it in the ax+by=c form we get,
4x+y=11
-6x+y=11
a1=4, b1= 1, c1= 11
a2=-6, b2= 1, c2= 11
4/6 or 2/3≠1/1
thus, we get a1/a2≠b1/b2, which satisfies the condition for intersecting lines, so there will be a unique solution.
taking third set of equations,
y = -2x + 5 and 2x + y = -7
rearranging it in the ax+by=c form we get,
2x+y=5
2x+y=-7
a1=2, b1= 1, c1= 5
a2=2, b2= 1, c2= -7
2/2 or 1/1 =1/1≠ -5/7
thus, we get a1/a2=b1/b2≠c1/c2, which satisfies the condition for parallel lines, thus there will be no solution.
What are intersecting and parallel lines?
Parallel lines never cross, always have distinct ends, and are always spaced at the same distance from one another. Lines that intersect are lines that have a common point and do cross.
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0.0158 rounded to the nearest tenth
Answer:
Step-by-step explanation:
Write the equation of the line that passes through the given point and is perpendicular to the given line.
(Only need 20 and 22)
Answer:
4x - 5y = 30
4x - 5(0) = 30
x1 = 7.5 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
4x - 5y = 30
4(0) - 5y = 30
y2 = -6 x2 = 0
(x1,y1) and (x2,y2)
(7.5,0) and (0,-6)
Solve for x
To solve for x, we solve the equation so the variable x is by itself on the left side:
4x - 5y = 30
x = 1.25y + 7.5
Solve for y
To solve for y, we solve the equation so the variable y is by itself on the left side:
4x - 5y = 30
y = 0.8x - 6
You earn $100 per month and want to save 10% in a savings account.
Use the savings calculator to find out how much your total savings would be in 1 year
if your account has an annual interest rate of 1%. (Do not include the $ sign in your
response) PLEASE HELP
Answer:
i'm sure you would have a amount of 1,200 dollars because there are 12 months in a year and you just got to x times 100 x 12=1,200 Booyah
Step-by-step explanation:
Question 9(Multiple Choice Worth 1 points)
(04.05 MC)
A company determines an employee's starting salary according to the number of years of experience, as detailed in the table.
Years of experience Salary
0 $40,000
1 $42,150
2 $44,260
3 $46,785
4 $48,820
5 $51,126
Use the equation for the line of best fit to predict the salary for an employee with 7 years of experience? (Round your answer to the nearest dollar.)
$52,900
$53,340
$53,914
$55,573
By using the equation for the line of best fit, the salary for an employee with 7 years of experience is: D. $55,573.
What is a line of best fit?A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.
In this scenario, the employee's years of experience would be plotted on the x-axis of the scatter plot while salary would be plotted on the y-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the data in the given table, we can reasonably and logically deduce that the equation for the line of best fit is given by:
y = 2233.3x + 39940
Next, we would use the equation for the line of best fit to predict the salary for an employee with 7 years of experience:
y = 2233.3(7) + 39940
y = 15,633.1 + 39940
y = 55,573.1 ≈ $55,573.
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Answer:
D
Step-by-step explanation:
$55,573
I’m trying to figure out this question but can’t need help asap
Answer:
bottom right rectangle: 5x − y
bottom circle: 6x
Step-by-step explanation:
First, solve for the bottom right rectangle by finding the difference between the top right rectangle and the middle right circle:
(9x + 4y) − (4x + 5y)
= (9x − 4x) + (4y − 5y)
= 5x − y
Next, to find the bottom circle, add the bottom left rectangle with the bottom right rectangle (the one we just solved for):
(x + y) + (5x − y)
= (x + 5x) + (y − y)
= 6x
NEED HELP!! URGENT
Write the polynomial given the following zeros:
4, -3, 3, 0
Please explain process if possible.
Answer:
Step-by-step explanation:
It could be
ax(x - 4)(x - 3)(x + 3) where a is some constant ( a could be 1 of course)
For a = 1 the polynomial is
x(x - 4)(x - 3)(x + 3)
In expanded form this is
x^4 - 4x^3 - 9x^2 + 36x
What is 149.6 million in standered form
Answer:146,600,000
1.496*10^8
Step-by-step explanation:
5. 0.9 -0.2 =
its 5th grade math
Answer:
0.7
Step-by-step explanation:
Graph each inequality on a separate number line.
X<4
The inequality x & lt; 4 is represented on a number line .
What is number line?
A number line is a representation of a graduated straight line in elementary mathematics that serves as a visual representation of the real numbers. It is assumed that every point on a number line corresponds to a real number, and that vice versa. Frequently, the integers are represented by specially marked, uniformly spaced points on a line. The line includes all real numbers, continuing indefinitely in both directions, as well as numbers that are in between the integers, even though the image only displays the integers from -3 to 3. It is frequently employed as a teaching tool, particularly when teaching simple addition and subtraction with negative numbers.
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