In a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .
What is multiple regression analysis?Multiple regression is a statistical method that may be used to assess a single dependent variable and several independent variables. Multiple regression analysis use known independent variables to anticipate the value of a single dependent variable. Each predictor value is assigned a weight, which indicates how much each predictor contributed to the overall forecast.
CalculationIn a multiple regression problem involving two independent variables X1 and X2, if b1 is computed to be +2.0, it means that. the relationship between X1 and Y is significant .
The estimated value of Y increases by an average 2 units for each increase of 1 unit of X1, holding X2 constant.
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The figure MNP will be reflect across the line x = -2. If point M starts at (1, 2), what is the coordinate of M´?
The coordinates of the point M' is (-6,2) when the point M was reflected across x =-2.
Here, assume that there is a point A(a, b). This point is reflected across the line x = -2. When reflected across this line, the value of the y coordinate of this point A will not change, only the value of the x coordinates of the point A will change.
Here, the point M(1,2) is reflected across the line x = -2.
The coordinates of the reflected point M' are (a, b).
The value of will b will remains same as that of the point M.
Now, the location of a,
the distance between the line x = -2 and a will be same as that of the distance between 2 and x =-2 which is 4 units,
So, the location of a will be fours units away from x =-2 and in the opposite direction so, a = -6
So, the Point M' is (-6,2)
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Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes. Find the number he has of each kind.
Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes. Then Number of dimes =18
and Number of nickels =27
What is basic algebra ?Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry. A straightforward algebraic expression is 2x + 4 = 8.
Given that : Charlie has $3.15 in his bank which contains only nickels and dimes. There are 9 more nickels than dimes
Let d be the number of dimes
d + 9 = Number of nickels
A dime = 0.1
nickle is = 0.05
0.1d + 0.05d + 0.45 = 3.15
0.15d = 2.7
d = 18
Number of dimes =18
Number of nickels = 18 + 9
=27
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A shot-putter throws a shot and its height is noted every 20 feet, the data is in the table below:
Feet Traveled Feet Above Ground
20 25
40 40
60 55
80 65
100 71
120 77
140 77
160 75
180 71
200 64
Please find the quadratic function of best fit for these data and, to the hundredths place, say how many feet the shot travels before striking the ground.
Best fit quadratic equation is: y = 77x + 140
Define quadratic equation.ax² + bx + c = 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. a 0. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. An example of a quadratic equation is x² + 2x + 1. Here, an is greater than zero because if it equals zero, the equation will cease to be quadratic and change to a linear equation, such as bx+c=0. As a result, we cannot refer to this equation as a quadratic equation.
Given,
A shot-putter throws a shot and its height is noted every 20 feet
Best fit quadratic equation is:
y = 77x + 140
As after this equation, feet above ground is decreasing.
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Use two conditional statements to draw a conclusion using the law of syllogisms
if a quadrilateral is a square, then it has four right angles, then it is a rectangle.
a. if a quadrilateral has four right angles, then then it is a square
b. if a quadrilateral is a square, then it has four right angles
c. if a quadrilateral is a square, then it is a rectangle
Using the law of syllogism, the conclusion is given as follows:
c. if a quadrilateral is a square, then it is a rectangle.
Law of SyllogismThe Law of Syllogism is a logic axiom which states that if the conditional statements p -> q and q -> r are true, the conditional statement p -> r is also true, basically applying the transitive property.
In the context of this problem, the statements are given as follows:
Statement p: Quadrilateral is a square.Statement q: Quadrilateral has four right angles.Statement r: Quadrilateral is a rectangle.Hence the conclusion is:
p -> r
Read as:
If p then r.
Replacing the statements, we have that:
If a quadrilateral is a square, then it is a rectangle.
Which means that option c is correct.
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PLEASE HELP QUICKLY!! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!
Answer:
Grade A: 0.2
Grade B: 0.3
Grade C: 0.2
Grade D: 0.15
Grade F: 0.15
Step-by-step explanation:
You take the number of the grade and divide that by the total. The total is 20. A 4/20 = 0.2
Grade B 6/20 = 0.3 and so on
Answer:
For part b. its grade D so it says how much right so I think u need to times it or divide it or so sorry if this doesn't help u
In February, Robbins and Myers, Inc. executed a 2-for-1 split. Janine had 470 shares before the split. Each share was worth $69.48.
a. How many shares did she hold after the split?
b. What was the post-split price per share?
c. Show that the split was a monetary non-event for Janine.
In February, Robbins and Myers, Inc. executed a 2-for-1 split, then the
(a) . The shares did she hold after the split is 940 shares.
(b) . The post-split price per share is $34.74
(c) . Janine didn't gain or lose any money during the event.
Based on the given conditions,
In February, Robbins and Myers, Inc. executed a 2-for-1 split.
That means,
2 - for - 1 stock split.
= 2 / 1
= 2
(a) . How many shares did she hold after the split?
Then,
Janine had 470 shares before the split.
Each share was worth $69.48.
= 470 shares * 2
= 940 shares
Hence,
The shares did she hold after the split is 940 shares.
(b) . What was the post-split price per share?
Each share was worth $69.48.
Then,
= $69.48/2
= $34.74
Hence,
The post-split price per share is $34.74
(c) . Show that the split was a monetary non-event for Janine
We can write,
After the split, Janine had 940 share worth $34.74.
Since they doubled the amount of share, but decrease the amount of each share.
So,
Janine didn't gain or lose any money during the event.
Therefore,
Robbins and Myers, Inc. executed a 2-for-1 split,
(a) . The shares did she hold after the split is 940 shares.
(b) . The post-split price per share is $34.74
(c) . Janine didn't gain or lose any money during the event.
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i need help with this
Answer:
32 feet
Step-by-step explanation:
See attached worksheet
Suppose that z varies jointly with x and y. When x=5 and y=4, z=12.
a) Write an equation that models the relationship.
b) Find z when x=15 and y=2.
For z varies jointly with x and y. When x=5 and y=4, z=12.
a. Equation that models the relationship is z=(3/5)xy.
b. When x=15 and y=2 then z=18.
As given,
a. Equation that models relationship z varies jointly with x and y is:
z is directly proportional to product of x and y
⇒z∝ xy
⇒z=k xy
where k is symbol of proportionality.
When x=5 and y=4, z=12
12=k(5× 4)
⇒k=12/(5× 4)
⇒k=3 /5
Hence, z=(3/5)xy
b. When x=15 and y=2
z=(3/5)×15×2
=18
Therefore, for z varies jointly with x and y, when x=5 and y=4, z=12.
a. Equation that models relationship is z=(3/5)xy.
b. When x=15 and y=2 then z=18.
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Which scatterplots have a nonlinear association? Select three options 
The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.
Explain about the scatterplots?
The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.
Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")
Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.
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3. Rhombus KLMN with vertices K(-3, 2), L(1, 4),
and N(-5, -2): (x,y) → (x, y-5)
M(-1,0)
The coordinates of KLMN after reflection along the y-axis is K'(3,2); L'(-1,4); M'(1,0); and N'(5,-2).
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection. The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.So, the coordinates of KLMN when reflected across the y-axis:
When reflected along the y-axis, the image of (x, y) is (-x,y).
Vertex K(-3,2image )'s after reflection along the y-axis is K' (3,2)After reflection along the y-axis, the image of vertex L(1,4) is L' (-1,4)Vertex M(-1,0image )'s after reflection along the y-axis is M' (1,0)Vertex N(-5,2image )'s after reflection along the y-axis is N' (5,-2)Therefore, the coordinates of KLMN after reflection along the y-axis is K'(3,2); L'(-1,4); M'(1,0); and N'(5,-2).
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The correct question is given below:
Given a rhombus KLMN with vertices K(-3,2), L(1,4), M(-1,0), and N(-5,-2). What would the coordinates of its image be when reflected across the y-axis?
pls pls help whoever gets it right gets marked brainliest
if 4 tickets costs$40, how much does 8 tickets cost?
4 tickets----------------------------->$40
8 tickts------------------------------->$x
Using cross multiplication:
[tex]\begin{gathered} \frac{4}{8}=\frac{40}{x} \\ x=\frac{40\times8}{4} \\ x=80 \end{gathered}[/tex]8 tickets cost $80
I need to determine m∠z. Can anybody help with this?
Answer:
z = 134°
Step-by-step explanation:
You want to know the measure of exterior angle z given remote interior angles of the triangle are 77° and 57°.
Exterior angleThe exterior angle of a triangle is equal to the sum of the remote interior angles of the triangle. (It is useful to remember this.)
z = 77° +57°
z = 134°
__
Additional comment
As you know the value of the interior angle at C will be the supplement of the value of z: (180° -z). Then the sum of the interior angles is ...
77° +57° +(180°-z) = 180°
Add (z -180°) to both sides of this equation and you get ...
77° +57° +(180°-z) +(z -180°) = 180° +(z -180°)
77° +57° = z . . . . simplified
I know the answer is 16 but can someone show me the steps as to how to get the answer? Also, we have not learned the l'hospital rule yet, so is there other way?
[tex]\lim_{n \to \\\pi /4} \frac{sec^4x-4}{x-\frac{\pi }{4} }[/tex]
The value of the given function, [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } }[/tex], found using L'Hospital's rule is; [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } = 16}[/tex]
What does L'Hospital's rule state?L'Hospital's rule states that if the limits [tex]\displaystyle{ \lim \limits_ {x \rightarrow c}f(x)} [/tex] = [tex]\displaystyle{ \lim \limits_{x \rightarrow c}g(x)} [/tex]= 0 or [tex]\pm \infty[/tex], g'(x) ≠ 0 for all x in I and x ≠ c, also, [tex]\displaystyle{ \lim \limits _ {x \rightarrow c}\frac{f ' (x)}{ g ' (x)} } \: exists, \: then;[/tex]
[tex]\displaystyle{ \lim \limits _ {x \rightarrow c}\frac{f (x)}{ g (x)} =\lim \limits _ {x \rightarrow c}\frac{f ' (x)}{ g ' (x)} } [/tex]
The given function is [tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} } }[/tex]
According to L'Hospital's rule, we have;
Where;
f(x) = sec⁴x - 4
[tex] \displaystyle g(x) = x - \frac{\pi}{4} [/tex]
[tex] \displaystyle f'(x) = \frac{4\cdot sin(x)}{cos^5(x)} [/tex]
g'(x) = 1
Therefore;
[tex] \displaystyle{\lim_{n \to \\ \frac{\pi}{4} } \frac{ {sec}^{4} x - 4}{x - \frac{\pi}{4} }= \frac{ \frac{4\cdot sin(x)}{cos^5(x)}}{1}=\frac{4\cdot sin(\frac{\pi}{4})}{cos^5(\frac{\pi}{4})} = 16}[/tex]
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Solve the triangle.
a= 10.0 ft, b= 11.0 ft, c = 13.0 ft
What is the measure of angle A?
A=⁰
(Round to two decimal places as needed.)
What is the measure of angle B?
B =°
(Round to two decimal places as needed.)
What is the measure of angle C?
c=°
(Round to two decimal places as needed.)
...
Answer:
Below in bold.
Step-by-step explanation:
Using the Cosine Rule:
a^2 = b^2 + c^2 - 2bc cos A
10^2= 11^2 + 13^2 -2.11.13 cos A
cos A = (11^2 + 13^2 - 10^2) / (2*11*13)
= 0.66434
m < A = 48.368 degrees
= 48.37 degrees to 2 D. P's.
By the Sine Rule:
a / sin A = b / sin B
10 / sin 48.368 = 11 / sin B
sin B = 11 * sin 48.368 / 10
= 0.82217
m < B = 55.303
= 55.30 degrees to 2 D,P's
So, m < C = 180 - 48.37 - 55.30
= 76.33 degrees
3. Use the equation V = abc where a = 5, b = 10, c = 3 to find the value of V.Show your work here:Choose the correct answersV = 120V = 50V = 150V = 60
Solution
[tex]V=abc[/tex]Where
[tex]\begin{gathered} a=5 \\ b=10 \\ c=3 \end{gathered}[/tex]Now,
[tex]\begin{gathered} V=abc \\ V=(5)(10)(3) \\ V=150 \end{gathered}[/tex]Therefore, V = 150
A line has a slope of 0 and passes through the point (-13, -11). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y= - 11
Step-by-step explanation:
A line with a slope of 0 is a horizontal line, parallel to the x- axis with equation
y = c ( c is the value of the y- coordinates the line passes through )
the line passes through (- 13, - 11 ) with y- coordinate - 11, then
y = - 11 ← equation of line
Answer:
y = -11
Step-by-step explanation:
A line with slope as 0, is a horizontal line ( In other words parallel to x-axis).
There is no rise, only run.
Equation of the line is y = c.
y = -11
Your friend says two different translations of the graph of the parent linear function can result in the graph of
f(x) = x - 2. Is your
friend correct? Explain.
Your friend claims that the graph of f(x) = x - 2 can be produced by two distinct translations of the graph of the parent linear function. The graph moves down by 2 units.
Given that,
Your friend claims that the graph of f(x) = x - 2 can be produced by two distinct translations of the graph of the parent linear function.
We have to find how much units the graph moves.
This linear equation's parent function is y=x.
The way your friend described this function wasn't exactly accurate.
If the function's transformation takes the form y=f(x)+c, the graph will move vertically up or down along the y-axis depending on the value of c.
The graph moves up if c>0.
The graph drops down if c>0.
When y=x-2 and y=f(x)+c are compared, we see that c = -2, which is smaller than 0, in the equation y=x-2.
Therefore, the graph moves down by 2 units.
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HELP PLEASE GIVING BRAINLIEST TO ONLYRIGHT ANSWER
Which graph shows a proportional relationship between x and y?
The graph C shows the proportional relationship between x and y.
What is meant by the term proportional relationship?A proportional relationship is defined as "y varies proportionally with x" or "y is directly proportional to x."
This implies that as x increases, y increases, and vice versa—and that the ratio among them always remains constant.The proportional relationship equation's graph is a straight line that follows the origin.Proportional relationships always are represented by equations of the form y=kx, in which k is the proportionality constant. That is, the connection between x and y always is multiplicative, with no additions or subtraction.For the given question;
The graph of the proportional relationship are given.
For the graph C, the relation tween x and y is said to be proportional because when the value of x increases the value of y decreases and also this line passes from the origin.
Thus, the graph C shows the proportional relationship between x and y.
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Solve the system by substitution.
a + b - 2c = 14
4b + c = -1
C = -5
Answer:
a = 3 ; b = 1 ; c = -5
Step-by-step explanation:
Solving system of equations by substitution method:a +b - 2c = 14 -----------------------------(I)
4b + c = -1 -----------------------------(II)
c = -5 ------------------(III)
Substitute c = -5 in equation (II) and find the value of 'b',
4b + (-5) = -1
4b = -1 + 5
4b = 4
b = 4 ÷ 4
[tex]\sf \boxed{b = 1}[/tex]
Substitute c = -5 and b = 1 in equation (I)
a + 1 - 2*(-5) = 14
a + 1 + 10 = 14
a +11 = 14
a = 14 - 11
[tex]\sf \boxed{a = 3 }[/tex]
Verification:a + b - 2c = 14
LHS = a + b - 2c
= 3 + 1 - 2*(-5)
= 3 + 1 + 10
= 14 = RHS
Hence verified.
Answer:
(3, 1, - 5 )
Step-by-step explanation:
a + b - 2c = 14 → (1)
4b + c = - 1 → (2)
c = - 5 → (3)
substitute c = - 5 into (2)
4b - 5 = - 1 ( add 5 to both sides )
4b = 4 ( divide both sides by 4 )
b = 1
substitute b = 1 and c = - 5 into (1)
a + 1 - 2(- 5) = 14
a + 1 + 10 = 14
a + 11 = 14 ( subtract 11 from both sides )
a = 3
solution is (3, 1, - 5 )
as a check substitute values into (1) and (2)
a + b + c = 3 + 1 - 2(- 5) = 4 + 10 = 14 ← correct
4b + c = 4(1) - 5 = 4 - 5 = - 1 ← correct
30 to 72 ratio problem
Answer: 5:12
Step-by-step explanation:
[tex]\displaystyle\\30:72=\\\\\frac{30}{72}=\\\\ \frac{6(5)}{6(12)}=\\\\ \frac{5}{12}=\\\\ 5:12[/tex]
The following table shows the monthly flow through a dam from October through April.
Solution:
Given the data below:
A) Mean monthly flow:
The mean monthly flow is evaluated as
[tex]\begin{gathered} \frac{total\text{ volume}}{total\text{ number of months}}=\frac{92+133+239+727+345+495}{6} \\ =\frac{2031}{6} \\ =338.5 \end{gathered}[/tex]Thus, the mean monthly flow is 338.5 KAF
B) Median monthly flow:
The median is evaluated as
[tex]undefined[/tex]How can the square-root property be used to solve y2=6
Given the expression:
[tex]y^2=6[/tex]The first step to solve it using the square root property, is moving the coefficient on the right side of the equation to the left side, changing it's sign:
[tex]\begin{gathered} y^2=6 \\ \Rightarrow y^2-6=0 \end{gathered}[/tex]Now, remember the rule for conjugates:
[tex](a+b)(a-b)=a^2-b^2[/tex]in this case we have the following:
[tex]\begin{gathered} y^2=a^2 \\ \Rightarrow y=a \\ b^2=6 \\ \Rightarrow b=\sqrt[]{6} \end{gathered}[/tex]therefore, we can factor the expression like this:
[tex]\begin{gathered} y^2-6=0 \\ \Rightarrow(y-\sqrt[]{6})(y+\sqrt[]{6})=0 \end{gathered}[/tex]Finally, we have that the only values that make true the expression are:
[tex]\begin{gathered} y_1=\sqrt[]{6} \\ y_2=-\sqrt[]{6} \end{gathered}[/tex]help plss its due today. the assignment is about equlvalent fractions and decimals
Answer: 87
Step-by-step explanation:
You would do 26/30 which gives 86.6666666 but we round up to 87
Answer:
0.86666...
Step-by-step explanation:
26/30=0.86666...
rounded to the nearest tenth is
0.9
The Pencil Shop sells 20 pencils for $2.50 or single pencils for $0.13 each. Which option has the lesser price per pencil?
Answer:
20 pencils for $2.50 has the lesser price per pencil.
Step-by-step explanation:
$0.13 compared to $2.50 ÷ 20 = $0.125
$0.13 > $0.125
The total cost (in dollars) to bowl n games is represented by C(n)=4.5n+2.5 . The shoe rental price increases 0.50. The new total cost is represented by T(n)=C(n)+0.5 . Describe the transformation from the graph of C to the graph of T .
In graphical representation it will get displaced by 0.5 units in x-axis.
What is a translation?
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
various Transformations are :
The answer choices would ask us to consider some combination of the following transformations:
reflection across the y-axis: (x, y) ⇒ (-x, y)
reflection across the x-axis: (x, y) ⇒ (x, -y)
reflection across the line y=x: (x, y) ⇒ (y, x)
clockwise rotation 90°: (x, y) ⇒ (y, -x)
positive rotation 270°: (x, y) ⇒ (y, -x) . . . same as 90° CW
translation by (h, k): (x, y) ⇒ (x+h, y+k) . . . h units right, k units up
Here, The shoe rental price increases 0.50 that is the new total cost is represented by T(n)=C(n)+0.5, which is 0.5 greater then old price equation that is C(n)=4.5n+2.5 :
Now, In graphical representation it will get displaced by 0.5 units in x-axis.
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Researchers surveyed recent graduates of two different universities about their income. The following two-way table displays data for the sample of graduates who responded to the survey. How many graduates from University A had an income under $20,000?
Income University A University B
Under $20,000 35 40
$20,000 to $39,999 90 63
$40,000 and over 35 37
Group of answer choices
a.35
b.90
c.160
d.75
The percentage of graduates from University A having income under $20,000 is 22%.
Percentage may be defined as the fraction which we get after dividing an entity from total number multiplied by 100. We have the total number of students in university A as 160. Now, we divide 35 that is the number of students who have an income under $20,000 in university A by 160 that is the total number of students in university A. We get the percentage as
P = (35/160) × 100
P = 0.218 × 100
P = 21.9 %
rounding off to nearest we get percentage as 22 %.
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anyone knows this??
Answer:
the answer is B 40 because∆ABC is a triangle
Choosing which types of assets you will invest in is known as
