A teacher records the amount of time it took a random sample of students to finish a test and their scores on that test. Let x be the score and y be the amount of time. Conduct a hypothesis test of the claim that there is a linear correlation between the variables, using a 0.10 level of significance. Find the PERCENTAGE OF THE VARIANCE IN THE Y-VALUES THAT CAN BE EXPLAINED BY THEIR LINEAR RELATIONSHIP WITH THE X-VALUES.
Answers
Answer:
The question is incomplete. The complete table is:
Score in percent (X): 80, 75, 70, 90, 95, 100, 75, 60, 75, 95
Time in minute (Y) : 45, 48, 40, 50, 40, 30, 30, 39, 38, 55
The answer is 0.55 %
Step-by-step explanation:
ΣX = 815
ΣY = 425
ΣX x Y = 34565
Σ = 67925
Σ\($Y^2$\) = 18699
So, correlation coefficient, b
\($b= \frac{n \Sigma XY- \Sigma X \Sigma Y}{\sqrt{n \Sigma X^2-( \Sigma X)^2} \times \sqrt{(n \Sigma Y^2 -(\Sigma Y)^2}}$\)
\($b = \frac{(10 \times 34565)-(815 \times 425)}{\sqrt{(10 \times 67925)-(815)^2} \times \sqrt{(10 \times 10699)-(425)^2}}$\)
\($b= -\frac{725}{9779 \times 2702}$\)
b = -0.0741
Correlation Determination:
\($B^2 = (-0.0741)^2$\)
= = 0.0055 = 0.55%
Therefore, 0.55 percentage of the variation in y can be explained by x variable.
Related Questions
Solve the equation using any method. Select the solution(s). -(x + 9)^2 = 64. POSSIBLE ANSWERS: A)x=-1 B) no real solution C) x=-(radical symbol here)1 D) x=(radical symbol here)1
Answers
B) no real solution
Explanation
\(-(x+9)^2=64\)Step 1
make
\((a+b)^2=a^2+2ab+b^2\)then
\(-(x+9)^2=-(x^2-2\cdot9\cdot x+9^2)=-(x^2+18x+81)=-x^2-18x-81\)Hence
\(\begin{gathered} -x^2-18x-81=64 \\ -x^2-18x-81-64=0 \\ -x^2-18x-145=0 \end{gathered}\)Step 2
find x, using the quadratic formula
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \end{gathered}\)Let
a=-1
b=-18
c=-145
replace,
\(\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{+18\pm\sqrt[]{-18^2-4\cdot-1\cdot-145}}{2a} \\ x=\frac{-18\pm\sqrt[]{324-580}}{-2} \\ \\ x=\frac{-18\pm\sqrt[]{-256}}{-2} \\ \end{gathered}\)Now
\(\sqrt[]{-256}\)is not a real number, so the answer is
B) no real solution
93,83,65,59,88,76,86,93,48,73,54,79
What is the percentage of these test scores that are less than 88?
Answers
An amusement park sells child and adult tickets at a ratio of 8:1. On Saturday, they sold 147 more child tickets than adult tickets. How many tickets did the amusement park sell on Saturday?
Answers
9514 1404 393
Answer:
189
Step-by-step explanation:
The difference between the ratio units is 8 -1 = 7.
The difference between child and adult ticket sales was 147 tickets, so each ratio unit stands for 147/7 = 21 tickets.
The total of the ratio units is 8+1 = 9, so 9 × 21 = 189 tickets were sold on Saturday.
__
That was 168 child tickets and 21 adult tickets.
a car is going 75 mph. what is its rate
Answers
Answer:
1.25 is the correct answer
A dairy farmer wants to mix a 70% protein supplement and a standard 20% protein ratio to make 1900 pounds of a high grade 55% protein ration how many pounds of each should he use
Answers
The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.
To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.
Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.
The total weight equation is given by:
x + y = 1900
The protein content equation is given by:
(0.70x + 0.20y) / 1900 = 0.55
Simplifying the second equation, we get:
0.70x + 0.20y = 0.55 × 1900
0.70x + 0.20y = 1045
Now, we can solve this system of equations to find the values of x and y.
Rearrange the first equation to solve for x:
x = 1900 - y
Substitute this expression for x in the second equation:
0.70(1900 - y) + 0.20y = 1045
1330 - 0.70y + 0.20y = 1045
1330 - 0.50y = 1045
-0.50y = 1045 - 1330
-0.50y = -285
y = -285 / -0.50
y = 570
Now substitute this value of y back into the first equation to find x:
x + 570 = 1900
x = 1900 - 570
x = 1330
Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.
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Provide the reasons for the following proof.
The figure shows triangle W X Y with a segment X Z drawn from vertex X to point Z on side W Y.
Given: Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y
Prove: triangle W X Z is congruent to triangle Y X Z
Statements Reasons
1.Segment W X is congruent to Segment X Y and segment X Z bisects angle W X Y 1. Given.
2. angle W X Z is congruent to angle Y X Z 2. Definition of an angle bisector.
3. Segment X Z is congruent to segment X Z. 3. _____________
4. triangle W X Z is congruent to triangle Y X Z 4. _____________
A. Reflexive Property of congruent to; SSS
B. Symmetric Property of congruent to; SSS
C. Reflexive Property of congruent to; SAS
D. Symmetric Property of congruent to; SAS
SOMEONE HELP! PLEASE!
Answers
The two column proof showing that ΔWXZ ≅ ΔYXZ is as shown below
From the given triangle, we see that;
Given: WX ≅ XY, XZ bisects WXY
Prove: ΔWXZ ≅ ΔYXZ
The two column proof for the above is as follows;
Statement 1; WX ≅ XY, XZ bisects 2
Reason 1; Given
Statement 2: ∠WXZ ≅ YXZ
Reason 2; Angle bisector
Statement 3; XZ ≅ XZ
Reason 3: Reflexive property of congruence
Statement 4: ΔWXZ ≅ ΔYXZ
Reason 4: SAS Congruence Postulate
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Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
If you are using a screen-reader, please consult your instructor for assistance.
x=
y=
Answers
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer
In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.
Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.
Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.
Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$
Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.
Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$
Therefore, $x=y=12\sqrt{3}$, which is our answer.
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How can you use regrouping to solve the equation 32-5 =
Answers
Answer:
-5+32=27
Step-by-step explanation:
-5+32=27
Hope I helped!
Answer: 27
Step-by-step explanation:
you cross out the 3, taking 1 away, turning that 3 to a 2, then crossing out that 2 in 32, you get 12 by adding the 1 with the 2, if that makes sense (I haven't done regrouping in a while) 12-5 is 7, and then the 3, thats now a 2 in 32, 2-0= 2, so you'd result with 27 (if that makes sense at all, I hope it did)
if a tree in a 1 inch.: 2ft scale drawing is 10 inches how tall is the actual tree
Answers
which value of x is in the solution set of -4/3x+5<17
A. -8
B. -9
C. -12
D. -16
Please help!
Answers
Answer:
-9
Step-by-step explanation: Definitely correct
Of the following statements, which one or ones describe actions helpful to your credit score? I. Quickly paying off debts II. Having recent debts III. Having long-standing lines of credit a. I only b. II and III c. I and III d. III only Please select the best answer from the choices provided
Answers
Answer:
I think d because it proves you will pay of your debt many time so it already involves a
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
Answers
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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What is the perimeter of a rectangle 15x4
Answers
Answer:
38
Step-by-step explanation:
perimeter = 2(l+b)
Where l is the length of the rectangle
b is the breadth of the rectangle
P = 2(15+4)
P = 2 × 19
P = 38
The graph of a piecewise function is shown.
What is the range of the function?
Answers
Answer:
(c) (-∞, -2] ∪ (-1, ∞)
Step-by-step explanation:
You want the range of the piecewise function shown in the graph.
RangeThe range is the vertical extent of the graph, the set of possible output values of the function.
This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)
Hence, the range is ...
(-∞, -2] ∪ (-1, ∞)
(a) The length of a rectangle is 6 cm more than its width, w cm. The perimeter of the rectangle is 37 cm. Form an equation in w and solve it to find the width of the rectangle.
Answers
The width of the rectangle whose perimeter is 37 cm is 6.25 cm.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
The length of a rectangle is 6 cm more than its width, w cm.
So, the length = w + 6
The perimeter of the rectangle is 37 cm.
Then, Perimeter of the rectangle = 37
2(l+ w) = 37
2( w+ 6 +w )= 37
2(2w + 6)= 37
4w + 12 = 37
4w = 25
w = 6.25 cm
and, length = w+ 6 = 6 + 6.25 = 12.25 cm
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A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
Answers
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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or simplicity, let X=M G = 1 I = 2 if you like decimals C = 3 + 0.75Y or if you prefer fractions C = 3 + 3/4Y the simple multiplier is equal to
Answers
Answer:
the simple multiplier is equal to 4
Step-by-step explanation:
Given that:
Y= C + I + G + (X - M)
the average expenditure Y must be equal to the totality of the output
If C = 3 + 0.75Y
here;
the marginal propensity consumed MPC = 0.75
Then,
Y = 3 + 0.75Y + 2 + 1
Y = 6+0.75 Y
Y - 0.75 Y = 6
0.25 Y = 6
Y = 6/0.25
Y = 24
However, the simple multiplier can be expressed as:
\(= \dfrac{1}{1-MPC}\)
\(= \dfrac{1}{1-0.75}\)
= \(\dfrac{1}{0.25}\)
= 4
what is the constant of proportionality in the equation y=16.41z
Answers
Answer:
16.41 is the constant of proportionality
Step-by-step explanation:
Use the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by two secants. You may use words and/or and equation.
(b) Suppose CG = 3 in, CH = 2 in, and GE = 5 in, is it possible to find the length of DH? If so, show how to find the length. If not, explain why not.
Help would be appreciated!
Answers
Based on the intersecting secants theorem:
a. CG*CE = CH*CD
b. length of DH = 10 in.
What is the Intersecting Secants Theorem?When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.
a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:
CG*CE = CH*CD
b. Given the following lengths:
CG = 3 in, CH = 2 in, and GE = 5 in
CE = CG + GE = 3 + 5 = 8 in.
CD = CH + DH = 2 + DH
Substitute into CG*CE = CH*CD:
3*8 = 2*(2 + DH)
24 = 4 + 2DH
24 - 4 = 2DH
20 = 2DH
20/2 = DH
DH = 10 in.
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Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answers
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
i am a parent and needhelp with this 11 + 3(9 − 6) − 4
Answers
Answer:
i'm sure its 16
Step-by-step explanation:
Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hoursand notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoeyexpect from the iPad on a full battery charge?
Answers
Answer:
8 hours
Step-by-step explanation:
25%= 2 hrs
100%=8 hrs
brainliest plsssssssssssssssssssss
-zylynn
Label 1/4 on the number line. Label 1/2 on the number line .
Answers
Answer:
it goes 0 then 1/4 in the first notch 1/2 in the second notch 3/4 in the third notch then the number 1 on the fourth
Step-by-step explanation:
Hope that helps.
Help The equation 4x − 4 = 2x represents two electric scooters traveling in opposite directions, where x represents the distance in miles between the scooters. What is the distance, in miles, between the scooters?
*
1 point
x = 0.5
x = 2
x = 4
x = 8
Answers
The distance in miles between the two electric scooters travelling in opposite direction is 2 miles.
What is an equation?An equation is a formula that proves the equality of two mathematical expressions in algebra and is the most commonly used formula. For example, in the expression 3x + 5 = 14 the two terms 3x + 5 and 14 are separated by the "equals" symbol.
What is distance?
The length or width in between two objects, points, lines, etc. Distance is the condition or fact that something or someone is physically apart.
Given 4x - 4 = 2x,
so 2x = 4
x = 2
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Select the correct location on the table.
Which expression has an extreme value that is different from the others?
Answers
The expression that has an extreme value that is different from the others is -\(x^{2}\)-2x-10, which has a maximum vertex, while all the other expressions have minimum vertices.
What is a quadratic equation?
A quadratic equation is a type of polynomial equation of degree 2, which means the highest power of the variable in the equation is 2.
The standard form of a quadratic equation is:ax^2 + bx + c = 0
To determine which expression has an extreme value that is different from the others, we can look at the coefficients of the quadratic terms (the \(x^{2}\)terms) in each expression. The extreme value of a quadratic function occurs at the vertex, which is the point where the quadratic term is maximized or minimized.
For the first expression, -\(x^{2}\)-2x-10, the coefficient of the quadratic term is -1, which means the parabola opens downward and the vertex is a maximum.
For the second expression, -(2x-3)(2x+3), the quadratic term is 4\(x^{2}\), and the coefficient is positive, so the parabola opens upward and the vertex is a minimum.
For the third expression, \(x^{2}\)+4x+13, the coefficient of the quadratic term is 1, which means the parabola opens upward and the vertex is a minimum.
For the fourth expression, -(x-2)(x+4), the quadratic term is \(x^{2}\), and the coefficient is positive, so the parabola opens upward and the vertex is a minimum.
For the fifth expression, 2\(x^{2}\)-12x+27, the coefficient of the quadratic term is 2, which means the parabola opens upward and the vertex is a minimum.
Therefore, the expression that has an extreme value that is different from the others is -\(x^{2}\)-2x-10, which has a maximum vertex, while all the other expressions have minimum vertices.
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I need the answer asap pls
Answers
Answer:
y = - \(\frac{1}{2}\) x + 2
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 = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = \(\frac{0-2}{4-0}\) = \(\frac{-2}{4}\) = - \(\frac{1}{2}\)
the line crosses the y- axis at (0, 2 ) ⇒ c = 2
y = - \(\frac{1}{2}\) x + 2 ← equation of line
Answer:
y= -0.5x + 2 (I think)
Step-by-step explanation:
y =mx + c
gradient is -0.5 because society
m = -0.5
y intercept is 2 because 2
so that means answer swag
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
Answers
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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Find the slope of the line.
(6, 10)
3
(a, 8)
(4, b)
(2, 2)
Answers
Answer:161500
Step-by-step explanation:that's your answer
Given these 2 map diagrams which is a function and why?
Answers
What is the equation of the line in slope-intercept form?
Answers
Answer:
The equation of the line in slope-intercept form is:
\(\:y=-\frac{1}{6}x\:+\:4\)
Step-by-step explanation:
The slope-intercept form of the line equation
\(y = mx+b\)
where
m is the slope b is the y-interceptGiven the points on the line graph
(0, 4) (3, 3.5)Determining the slope between (0, 4) and (3, 3.5)
\(\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\)
\(m=\frac{3.5-4}{3-0}\)
\(m=\frac{\frac{7}{2}-4}{3-0}\)
\(m=-\frac{1}{6}\)
Thus, the slope of the line = m = -1/6
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 4
Thus, the y-intercept b = 4
now substituting b = 4 and m = -1/6 in the slope-intercept form
\(y = mx + b\)
\(\:y=-\frac{1}{6}x\:+\:4\)
Therefore, the equation of the line in slope-intercept form is:
\(\:y=-\frac{1}{6}x\:+\:4\)