Answer:
positive 1.5
Step-by-step explanation:
by definition, the possible values for correlation coefficients are
-1 ≤ correlation coefficient ≤ 1
+1.5 lies outside this range and hence is not valid.
The correlation coefficient measures the strength and direction of a linear relationship between two variables, ranging from -1 to +1. Therefore, a value of positive 1.5, as listed in option D, is not a possible value for a correlation coefficient.
Explanation:In mathematics, particularly in statistics, a correlation coefficient is a measure of the strength and direction of the linear relationship between two variables on a scatterplot. The value of a correlation coefficient ranges from -1 to +1. A correlation coefficient of +1 indicates a perfect positive linear relationship, a correlation coefficient of -1 indicates a perfect negative linear relationship, and a correlation coefficient of 0 indicates no linear relationship.
Therefore, the answer to the question is: D. positive 1.5. This is not a possible value for a correlation coefficient because it lies outside the acceptable range of -1 to +1.
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Marking Brainliest!
DEF undergoes a dilation, with a scale factor of 4, to form D'E'F.
Side D'E'is 4 times the length of side DE.
What is the area of D'E'F', compared to the area of DEF?
Area is in square units.
Square the scale factor: 4^2 = 16
The area is 16 times the original area.
57. Gabriel randomly surveyed some households in a small community
to determine how many of them support building a new
highway near the community. Here are the results:
Number
45
Opinion
Support the highway
Do not support it
57
If the community contains a total of 2,120 households, predict how
many of them would support building the highway.
18
No opinion
Answer:
750 households
Step-by-step explanation:
45+57+18=120
45/120=3/8
(3/8)*2120= 750 households would support.
Hope I helped.
Which graph best represents the function g(x) = (x - 2)x + 4)?
Sorry if it’s kinda hard to see
Answer:
b.
Step-by-step explanation:
expand (x-2)(x+4)
(x-2)(x+4)=0
x²+2x-8=0
a=1,b=2,c=-8
From this equation we know that ,
a>0, the shape of the graph is a minimum graph.
c is the y-intercept ,the graph will intercept -8 at y-axis .
By solving this (x-2)(x+4)=0 we know the x-intercept of the graph .
(x-2)(x+4)=0
x=2 ,x=-4
Evaluate 10x2y-2 for x = -1 and y = -2.
5/8
2 1/2
10(2)^0
40
Answer:
[tex]2\frac{1}{2}[/tex]
Step-by-step explanation:
we have
[tex]10x^{2} y^{-2}[/tex]
we know that
[tex]10x^{2} y^{-2}=10\frac{x^{2}}{y^{2}}[/tex]
Substitute the value of x=-1 and y=-2 in the expression
[tex]10\frac{(-1)^{2}}{(-2)^{2}}[/tex]
[tex]10\frac{1}{4}[/tex]
[tex]\frac{10}{4}[/tex]
Simplify
[tex]\frac{5}{2}=2\frac{1}{2}[/tex]
What are the values of a, b, and c in the quadratic equation 0 = x2 – 3x – 2?
a = , b = 3, c = 2
a = , b = –3, c = –2
a = , b = 3, c = –2
a = , b = –3, c = 2
For this case we have that by definition, a quadratic equation is of the form:
[tex]ax ^ 2 + bx + c = 0[/tex]
Where the roots are given by:
[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]
We have the following equation:
[tex]x ^ 2-3x-2 = 0[/tex]
Then, according to the definition, the values are:
[tex]a = 1\\b = -3\\c = -2[/tex]
Answer:
[tex]a = 1\\b = -3\\c = -2[/tex]
Answer:
The values of a, b, and c in the quadratic equation are:
[tex]a=1\\b=-3\\c=-2[/tex]
Step-by-step explanation:
The general form of a quadratic equation is as follows
[tex]ax^2 + bx +c[/tex]
Where a, b and c are real numbers that represent the coefficients of the quadratic equation and [tex]a \neq 0[/tex]
In this case we have the following quadratic equation
[tex]x^2 - 3x - 2[/tex]
Therefore, notice that:
[tex]a=1\\b=-3\\c=-2[/tex]
Determine which type of transformation is illustrated in the figure. If none of the listed transformations apply, choose "none of these."
Answer:
15 ounces
Step-by-step explanation:
If there is 165 ounces in 11 boxes then divide the ounces by the boxes to get the amount of ounces in one box.
Answer:
15
Step-by-step explanation:
Write the function of the graph
Answer:
y = 4[2]^x
Step-by-step explanation:
One possible model for this function is the exponential y = a(b)^(kx). Notice that if x = 0, y = a, and so, from the graph, we see that a = 4.
Then we have the exponential y = 4(b)^(kx). Substitute 8 for y and 1 for x:
8 = 4(b)^(k), or 2 = b^k.
Then y = a(b)^(kx) becomes y = 4(b)^(kx) = 4[b^k]^x = 4[2]^x = y
The desired function is y = 4[2]^x.
Check this out. Does the point (0, 4) satisfy this function?
Is 4 = 4[2]^0 true? YES, it is.
Is 8 = 4[2]^1 true? Is 8 = 4(2) true? YES, it is
If f(x)=1/3x^2+5, find f(-9)
Answer:
32
Step-by-step explanation:
f(x)=1/3x^2+5
Let x = -9
f(-9) = 1/3* (-9)^ 2 +5
= 1/3 * 81 +5
= 27+5
=32
What's 17⁄12 as a mixed number?
A. 1 5⁄12
B. 1 12⁄7
C. 1 7⁄12
D. 7 1⁄2
Answer:
A
Step-by-step explanation:
17 / 12
(12 + 5) / 12
12/12 + 5/12
1 5/12
What is the slope-intercept equation of the line that includes the points in The table?
Answer:
A Is the correct answer ( y = 2x - 4 )
Step-by-step explanation:
The answers listed are provided in Y= Mx + B. What this means is M = Slope and B = Y Intercept. The Y-Intercept is where the imaginary line crosses the Y axis of the graph or where x = 0. In this case the Y-Int is -4 and the slope of the graph is 2 over 1 ( A rise of two and a run of one ) in other terms it's just 2, but once you put this into the equation y = Mx + B it becomes 2x. Your final product would be y = 2x - 4
What are the two solutions of x2 – 2x – 4 = –3x + 9?
the y-coordinates of the y-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
the x-coordinates of the x-intercepts of the graphs of y = x2 – 2x – 4 and y = –3x + 9
the y-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
the x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
The solutions of:
[tex]x^2-2x-4=-3x+9[/tex] are:
The x-coordinates of the intersection points of the graphs of y = x2 – 2x – 4 and y = –3x + 9
Step-by-step explanation:Solution to a system of equation--
A solution to a system of equation are the possible values of x that satisfy both the equation.
These are obtained by finding the x-coordinate of the point of intersection of the equations i.e. the point where the y-values is equal.
Hence, the given can be solved by finding the points of intersection of the graph:
[tex]y=x^2-2x-4[/tex] and [tex]y=-3x+9[/tex] and then taking the x-coordinate of the point.
If f(x)=6(x-2), find f(5)
Answer:
f(5) = 6(5 - 2) = 6(3) = 18
Step-by-step explanation:
You're asked to "evaluate" f(x)=6(x-2) when x = 5.
To do this, replace both instances of x with 5: f(5) = 6(5 - 2) = 6(3) = 18
Answer:
Hence, the value of the function for f(5) is 18..
Step-by-step explanation:
Consider the provided function.
[tex]f(x)=6(x-2)[/tex]
We need to find the value of function at x = 5.
Substitute x = 5 in above function and simplify.
[tex]f(5)=6(5-2)[/tex]
[tex]f(5)=6(3)[/tex]
[tex]f(5)=18[/tex]
Hence, the value of the function for f(5) is 18.
roumd 33 to the nearest 100
Answer:
Step-by-step explanation:
Trick question. Good to know.
0 is the closest 100.
33 will round to 0
Need helpppppppppppp
Answer:
Choice D is correct
Step-by-step explanation:
We have been given the expression;
[tex]21\leq-3(x-4)<30[/tex]
The first step is to open the brackets using the distributive property;
-3(x-4) = -3x + 12
Now we have;
[tex]21\leq-3x+12<30\\\\21-12\leq-3x+12-12<30-12\\ \\9\leq-3x<18\\\\\frac{9}{-3}\geq x>\frac{18}{-3}\\\\-6<x\leq-3[/tex]
Rewritten in vertex form please!!! Asap!!!
Answer:
vertex form: [tex]y=2(x+\dfrac{7}{2})^2+\dfrac{1}{2}[/tex]
B correct
Step-by-step explanation:
[tex]y=(x+3)^2+(x+4)^2[/tex]
[tex]y=x^2+9+6x+x^2+16+8x[/tex]
[tex]y=2x^2+14x+25[/tex]
[tex]y=2(x^2+7x)+25[/tex]
[tex]y=2(x^2+7x+\dfrac{49}{4}-\dfrac{49}{4})+25[/tex]
[tex]y=2(x+\dfrac{7}{2})^2+\dfrac{1}{2}[/tex]
Answer:
B
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
y = (x + 3)² + (x + 4)² ← expand and simplify
= x² + 6x + 9 + x² + 8x + 16
= 2x² + 14x + 25
To obtain vertex form use the method of completing the square
The coefficient of the x² term must be 1
Factor out 2 from 2x² + 14x
y = 2(x² + 7x) + 25
add/ subtract ( half the coefficient of the x- term )² to x² + 7x
y = 2(x² + 2([tex]\frac{7}{2}[/tex]) x + [tex]\frac{49}{4}[/tex] - [tex]\frac{49}{4}[/tex] ) + 25
y = 2(x + [tex]\frac{7}{2}[/tex] )² - [tex]\frac{49}{2}[/tex] + [tex]\frac{50}{2}[/tex]
y = 2(x + [tex]\frac{7}{2}[/tex] )² + [tex]\frac{1}{2}[/tex]
Identify the method that will be used in solving for x.
5+x=
distributive property
multiplication property of equality
division property of equality
subtraction property of equality
Answer:
subtraction property of equality
Step-by-step explanation:
The equation in the question is incomplete, the complete equation is:
5 + x = 2
To solve this equation we have to use the subtraction property of equality, that is, if you subtract some number at both sides of the equal sign, the equation doesn't change. So:
5 + x - 5 = 2 - 5 (You must select a number which isolate x)
x = -3
And the answer is gotten.
d
ur welcome its right
Solve the given inequality. Describe the solution set using the set-builder or interval notation. Then, graph the solution set on a number line 10(10m+6)<12
Answer:
B
Step-by-step explanation:
10(10m+6)<=12
100m+60<=12 Distributive Property
100m <=12-60
100m <=-48
m <=-48/100
m <=-.48
This says values for m that are less than or equal to -.48
-.48 is between -1 and 0 so the answer is B
Graph the solution set on a number line 10(10m+6)<12
10(10m+6)<=12
100m+60<=12 Distributive Property
100m <=12-60
100m <=-48
m < =-48/100
m < =- 48
This says values for m that are less than or equal to -.48
Option B. M≤ -48
What are different notations?Four popular derivative notations include: The Leibniz notation, which has a d/dx format. The Lagrange notation, characterized by prime notation. The Euler notation, where a capital D is used.
It's just a different notation to express the same thing. On the other hand, if you want to represent the set with interval notation, you need to know the upper and lower bound of the set, or possibly the upper and lower bound of all the intervals that compose the set.
What is function notation?An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”; that is, y = f ( x). This last expression is read as “ y equals f of x” and means that y is a function of x.
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Which term describes lines that intersect at 90 degrees angles
Answer:
They would be perpendicular because the lines intersect at a ninety degree angle. Hope this helps! Please mark brainliest!
Step-by-step explanation:
Follow below steps:
The term that describes lines that intersect at 90-degree angles is perpendicular. Lines that are perpendicular to each other form four angles at the point of intersection. Each of these angles is a right angle, which measures 90 degrees. This is a fundamental concept in geometry, which is a branch of mathematics dealing with properties and relations of points, lines, surfaces, solids, and higher dimensional analogues.
For example, in the context of a coordinate plane, the x-axis and y-axis are perpendicular to each other. Moreover, theorems in geometry further explain the properties of perpendicular lines, such as the fact that if a line segment is drawn joining the extremities of two equal lines which are perpendicular to a given line, the joining segment is bisected at right angles by a third perpendicular line.
what is the solution set of the quadratic inequality x^2-5< or equal to 0
[tex]x^2-5\leq0\\x^2\leq5\\x\leq \sqrt5 \wedge x\geq-\sqrt5\\x\in\left\langle-\sqrt5,\sqrt5\right\rangle[/tex]
For this case we must indicate the solution of the following inequality:
[tex]x ^ 2-5 \leq0[/tex]
Adding 5 to both sides of the inequality:
[tex]x ^ 2\leq5[/tex]
We apply square root on both sides of the inequality to eliminate the exponent:
[tex]x \leq\pm \sqrt {5}[/tex]
So, we have two solutions:
[tex]x\leq \sqrt {5}[/tex]
Since it is an inequality, the sign for the negative portion is changed:
[tex]x\geq- \sqrt {5}[/tex]
Answer:
[tex]x\leq \sqrt {5}\\x\geq-\sqrt {5}[/tex]
Find the equation for the line graph below in either slope-intercept OR point-slope form. (will pick brainiest)
Answer:
[tex]\large\boxed{y=\dfrac{2}{3}x+4}[/tex]
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept (0, b)
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points:
(0, 4) → y-intercept (b = 4)
(3, 6)
Substitute:
[tex]m=\dfrac{6-4}{3-0}=\dfrac{2}{3}[/tex]
Finally we have the equation:
[tex]y=\dfrac{2}{3}x+4[/tex]
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line
m = [tex]\frac{4-2}{0+3}[/tex] = [tex]\frac{2}{3}[/tex]
note the line crosses the y- axis at (0, 4) ⇒ c = 4, hence
y = [tex]\frac{2}{3}[/tex] x + 4 ← in slope- intercept form
OR
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
here m = [tex]\frac{2}{3}[/tex] and (a, b) = (3, 6), hence
y - 6 = [tex]\frac{2}{3}[/tex](x - 3) ← in point- slope form
Find the value of z.
Answer:
[tex]\large\boxed{\dfrac{50}{3}}[/tex]
Step-by-step explanation:
If the polygons are similar, then the corresponding sides are in proportion:
[tex]\dfrac{z}{10}=\dfrac{20}{12}[/tex] cross multiply
[tex]12z=(10)(20)[/tex]
[tex]12z=200[/tex] divide both sides by 12
[tex]z=\dfrac{200}{12}\\\\z=\dfrac{200:4}{12:4}\\\\z=\dfrac{50}{3}[/tex]
a. If the points (-4,5) and (0,2) are used to find the slope of the line below, the
slope is -3/4. What is the slope if the points (0,2) and (4,-1) are used?
Answer:
-3/4
Step-by-step explanation:
To find the slope, we use the formula
m = (y2-y1)/(x2-x1)
= (-1-2)/(4-0)
= -3/4
What units are used for volume?
linear
cubic
o perimeter
square
Answer:
cubic
Step-by-step explanation:
Answer:
cubic
Step-by-step explanation:
What units are used for volume;
cubic
What’s the answer help plz
9 x 5 = 45 -> total $ on Friday
99 - 45 = 54 -> total $ on Saturday
54 ÷ 9 = 6 hours
Answer:
A, B.
Step-by-step explanation:
If Matt charges $9 an hour, and he worked for 5hrs on Friday night, then that means we have to do multiplication.
So, $9x5=$45.
And then it says he babysat again on Saturday, and in TOTAL, he earned $99.
So, if he already made $45, and he has a total of $99, then we need to work backwards to figure out how much he made on Saturday.
$99-$45=$54
So, he made $45 on Friday and $54 on Saturday.
Now, we continue to work backwards and divide how much he made on Saturday ($54), by how much he charges per hour.
$54/9=6
So, Matt worked a total of 6hrs on Saturday.
WUCLUJ
A quadrilateral has two right angles. The measure of the third angle is 99º.
What is the measure of the fourth angle?
Answer:
81 degrees
Step-by-step explanation:
A quadrilateral has four interior angles which sum up to 360 degrees.
As we are given that two angles are right angles which means the sum of two angles will be 180 degrees and the third angle is 99 degrees.
As we know that the four angles sum up to 360 degrees.
Let A,B,C and D denote the four angles,
Then
Sum of angles = 360
A+B+C+D=360
90+90+99+D=360
279+D=360
D=360-279
D= 81 degrees
So the fourth angle is 81 degrees ..
please help!! Thanks!!
Answer:
a = sqrt(33)
Step-by-step explanation:
a^2 + 4^2 = 7^2
a^2 + 16 = 49
a^2 = 33
a = sqrt(33)
Which best describes a system of equations that has no solution?
Answer:
i think the answer is undefined
Step-by-step explanation:
Answer: 1. inconsistent, 2. infinite, 3. (4, -1), 4. exactly two solutions.
Step-by-step explanation: HOPE THIS HELPS. ;))))
PLEASE someone help me with maths
You are on the right tracks.
Since angle ABC is a right angle, that means lines AB and BC are perpendicular.
Therefore the gradient of BC = the negative reciprocal of the gradient of AB. We can use this to form an equation to find what K is.
You have already worked out the gradient of AB ( 1/2) (note it's easier to leave it as a fraction)
Now lets get the gradient of BC:
[tex]\frac{5-k}{6-4}= \frac{5-k}{2}[/tex]
Remember: The gradient of BC = the negative reciprocal of the gradient of AB. So:
[tex]\frac{5-k}{2} =negative..reciprocal..of..\frac{1}{2}[/tex]
So:
[tex]\frac{5-k}{2}=-2[/tex] (Now just solve for k)
[tex]5-k=-4[/tex]
[tex]-k=-9[/tex] (now just multiply both sides by -1)
[tex]k = 9[/tex]
That means the coordinates of C are: (4, 9)
We can now use this to work out the gradient of line AC, and thus the equation:
Gradient of AC:
[tex]\frac{1-9}{-2-4} =\frac{-8}{-6} = \frac{4}{3}[/tex]
Now to get the equation of the line, we use the equation:
y - y₁ = m( x - x₁)
Let's use the coordinates for A (-2, 1), and substitute them for y₁ and x₁ and lets substitute the gradient in for m:
y - y₁ = m( x - x₁)
[tex]y - 1=\frac{4}{3}(x +2)[/tex] (note: x - - 2 = x + 2)
Now lets multiply both sides by 3, to get rid of the fraction:
[tex]3y - 3 = 4(x+2)[/tex] (now expand the brackets)
[tex]3y - 3 = 4x+8)[/tex]
Finally, we just rearrange this to get the format: ay + bx = c
[tex]3y - 3 = 4x+8[/tex]
[tex]3y = 4x+11[/tex]
[tex]3y - 4x = 11[/tex]
And done!:
________________________________
Answer:
The equation of a line that passes through point A and C is:
[tex]3y - 4x = 11[/tex]
he graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. Which statement about the domain and range of each function is correct? The range of the transformed function and the parent function are both all real numbers greater than or equal to 4. The domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. The range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. The domain of the transformed function and the parent function are both all real numbers.
Answer:
Out of the four, the only statement true about the parent and the transformed function is:
"The domain of the transformed function and the parent function are all real numbers."
Step-by-step explanation:
Parent function:
f(x) = |x|
Applying transformations:
1. Stretched by a factor of 0.3:
f(x) = 3|x|
2. Translated down 4 units:
f(x) = 3|x| - 4
Transformed function:
f(x) = 3|x| - 4
We can see that:
Range of the parent function = All real numbers greater than or equal to 0.
Range of the transformed function = All real numbers greater than or equal to -4.
Domain of the parent and the transformed function is same and equal to all real numbers.
Hence, the first three statements are wrong and the fourth one is true.
Answer:
The domain of the transformed function and the parent function are both all real numbers.
Step-by-step explanation:
Stretching a function by any factor doesn't change either its domain nor its range.
Translating up or down a function changes its range. In this case, the lowest value the parent function can take is 0 when x=0; after translation, for x = 0 then f(x) = -4. Therefore,
f(x) = |x|
domain = all real numbers
range = [0, infinity)
f(x) = 0.3*|x| - 4
domain = all real numbers
range = [-4, infinity)
22. How many times smaller is the surface area of a sphere if the diameter is multipled by 1/4?
Answer:
4 times smaller
Step-by-step explanation: