For question 4-5, use the scatterplot to sketch the line of best fit and estimate the correlation
coefficient
16
14
12
8
6
6
0
2
4. Draw an estimated line of best fit
on the graph.
7
5. Estimate the correlation
coefficient:
Answer Choices
-0.95
-0.65
0.65
0.95
8
9
Can you show you work
Answers
The line of best fit is attached and the estimated correlation coefficient is -0.95
Sketching the line of best fit and estimating the correlation coefficientGiven that we have
16 14 12 8 6 6 0 2
Assuming the above values are the output values
Entering the above values in a graphing tool, and we have the attached figure as the scatter plot and the line of best fit
The calculation summary are:
Sum of X = 36Sum of Y = 64Mean X = 4.5Mean Y = 8Sum of squares (SSX) = 42Sum of products (SP) = -94Regression Equation, ŷ = -2.24x + 18.10Correlation coefficient, r = -0.95Read more about scatter plot at
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Related Questions
HELP ME PLEASE GUYS! :)
Answers
Remember that a system of equations (two lines) only has solutions if the lines cross. In this case, the lines are parallel, which means that they will never cross. Therefore, there are no solutions.
Hope this helps! :)
A bridge, PR, across a river is 400 m long. Gabe is launching a canoe at point Q.
He will paddle in a diagonal line across the river to point P. He plans to return along a route beside the bridge from P to R, and then along the shore from R back to Q. How far will this be altogether?
Answers
Therefore, the total distance Gabe will paddle is 2x + 400 meters. The exact value of x depends on the width of the river, which is not provided in the given information.
To find the total distance Gabe will paddle, we need to consider the distance he will travel from Q to P, then from P to R, and finally from R back to Q.
First, let's consider the distance from Q to P. Since Gabe will paddle in a diagonal line across the river, this distance can be calculated using the Pythagorean theorem.
The length of the bridge (PR) is given as 400 meters, which is the hypotenuse of a right triangle. The width of the river can be considered as the perpendicular side, and the distance Gabe will paddle from Q to P is the other side. Let's call this distance x.
Using the Pythagorean theorem, we have:
x^2 + (width of the river)^2 = PR^2
Since the width of the river is not given, we'll represent it as w. Therefore:
x^2 + w^2 = 400^2
Next, let's consider the distance from P to R. Gabe will paddle along a route beside the bridge, which means he will travel the length of the bridge (PR) again. So, the distance from P to R is also 400 meters.
Finally, Gabe will paddle back from R to Q along the shore. Since he will follow the shoreline, the distance he will paddle is equal to the distance from Q to P, which is x.
To find the total distance, we add up the distances:
Total distance = QP + PR + RQ
= x + 400 + x
= 2x + 400
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A shirt is on sale for 60% off. If the sale price is $16, what was the original price?
Answers
Answer:
$40
Step-by-step explanation:
We can represent the price of an item on sale for \(x\%\) off as:
\(S=P \cdot \dfrac{100-x}{100}\),
where P is the product's original price and S is the sale price.
Applying this to the problem at hand:
\(\$16=P \cdot \dfrac{100-60}{100}\)
↓ simplifying the fraction
\(\$16=P \cdot \dfrac{2}{5}\)
To solve for P in this equation (the original price), we have to multiply both sides of the equation by the reciprocal of its coefficient.
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
Remember that any fraction multiplied by its reciprocal is 1:
\(\dfrac{2}{5} \cdot \dfrac{5}{2} = \dfrac{10}{10} = 1\)
⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯
\(\dfrac{5}{2} \left( \$16\right)= \left(P \cdot \dfrac{2}{5}\right)\dfrac{5}{2}\)
\(\boxed{\$40 = P}\)
So, the original price of the shirt was $40.
consider the following system of equations. does this system has a unique solution? if yes, find the solution 2x−y=4 px−y=q 1. has a unique solution if p=2 2. has infinitely many solutions if p=2,q=4 a)1 correct b) 2correct c)1dan2 correct d)1 dan 2 are false
Answers
The given system of equations has a unique solution if p is not equal to 2. If p is equal to 2 and q is equal to 4, the system has infinitely many solutions.Therefore, the correct answer is (a) 1 correct.
The given system of equations is:
2x - y = 4
px - y = q
To determine if the system has a unique solution, we need to analyze the coefficients of x and y.In the first equation, the coefficient of y is -1. In the second equation, the coefficient of y is also -1.If the coefficients of y are equal in both equations, the system may have infinitely many solutions. However, if the coefficients of y are different, the system will have a unique solution.
Now, we consider the options:
a) 1 correct: This statement is correct. If p is not equal to 2, the coefficients of y in both equations will be different (-1 in the first equation and -1 in the second equation), and thus the system will have a unique solution.b) 2 correct: This statement is correct. If p is equal to 2 and q is equal to 4, the coefficients of y in both equations will be the same (-1 in both equations), and therefore the system will have infinitely many solutions.
c) 1 and 2 correct: This statement is incorrect because option 1 is true but option 2 is only true under specific conditions (p = 2 and q = 4).d) 1 and 2 are false: This statement is incorrect because option 1 is true and option 2 is also true under specific conditions (p = 2 and q = 4).
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Which of the following statements is NOT a property of parallelograms?
1. Opposite angles are congruent.
2. Opposite sides are congruent
3. All angles are right angles.
4. Consecutive angles are supplementary.
Answers
Answer:
3
Step-by-step explanation:
took the test
also parallelograms are the slanted ones so they dont always have the 90 degree angles.
The non-necessary property of a parallelogram is All angles are right angles.
What is a parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
GIven that, what can not be a property of parallelograms
All the properties given in the option are correct for a parallelogram, but the option saying all angles should be a right angle, is not a correct one, because it is not necessary for a parallelogram to have all four angles 90°, it is only in two types of special parallelograms, that are rectangles and squares.
Hence, the non-necessary property of a parallelogram is All angles are right angles.
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a scientist records the water temperature and air temperature in Antarctica the water temperature-2 °C. The air is 9°C colder than the water which expression could be used to find the air temperature 
a. -2 + 9
b. -2 - 9
c. 9 - 2
explain too
Answers
Answer:B
Step-by-step explanation:
If the air is colder than the water you would have -2-9 because if you keep,Change and flip it it it is -2+-9 which is -11.
okay guys last one =)
Answers
The function that is likely the best fit is given as follows:
Logarithmic regression.
How to define the function of best fit?The function of a best fit is a logarithmic regression, as the function starts with a fast increasing rate until it approaches the vertical asymptote.
As for the other options, we have that:
It is not quadratic as the function is increasing over it's entire domain.It is not linear as the rate of increase is not constant.It is not exponential as the increase rate slows down as the input increases.More can be learned about functions at https://brainly.com/question/15602982
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Explain how this solid figure can be broken up in two different ways.
Answers
Answer:
wheres the figure ??
Step-by-step explanation:
why doesn't my messages work?
Answers
Answer:
I was wondering the same thing. maybe it is specific for certain people.
Step-by-step explanation:
Answer:
i think you have to be a certain rank
Step-by-step explanation:
gr 12 calculus find the critical points on the given interval and identify the nature of them
Answers
we have the function
\(f\left(x\right)=2^{x}\cos x\)Find out the critical points
so
Find out the first derivative
\(f^{\prime}(x)=ln2*2^xcosx-2^xsinx\)Equate the first derivative to zero
\(\begin{gathered} ln2*2^xcosx-2^xsinx=0 \\ ln2=\frac{2^xsinx}{2^xcosx} \\ \\ ln2=tanx \end{gathered}\)the value of the tangent is positive
that means
the angle x lies on the I quadrant or III quadrant
but remember that the interval is [0, pi]
therefore
The angle x lies on the quadrant
\(\begin{gathered} tanx=ln2 \\ x=0.2\pi\text{ radians} \end{gathered}\)The critical point is x=0.2pi radiansFind out the second derivative
\(f^{\prime}^{\prime}(x)=ln^22*2^xcosx-ln2*2^{x+1}*sinx-2^xcosx\)Evaluate the second derivative at x=0.2pi radians
The value of the second derivative is negative
so
The concavity is down
that means
The critical point is a local maximum in the given intervalFor the system of differential equations
x′(t)=1−ex+2y
y′(t)=−x−4siny
the point (x0,y0)=(0,0) is a critical point.
Expressed as an almost linear system,
x′(t)=ax+by+r(x,y)
y′(t)=cx+dy+s(x,y)
where
a= , b=
c= , d=
and the Jacobian matrix at the critical point (x0,y0) is
J(x0,y0)= ⎡⎣⎢⎢⎢ ⎤⎦⎥⎥⎥
The eigenvalues of this matrix are
λ1= <λ2=
The critical point (x0,y0) is best described as a
saddle
sink / stable node
source / unstable node
center point / ellipses
spiral source
spiral sink
none of these
Answers
To express the given system of differential equation as an almost linear system, we need to find the partial derivatives of the given functions with respect to x and y.
∂f/∂x = -ex
∂f/∂y = 2
∂g/∂x = -1
∂g/∂y = -4cosy
Now, substituting these values in the general form of an almost linear system,
x′(t) = ax + by + r(x,y)
y′(t) = cx + dy + s(x,y)
we get,
x′(t) = -ex + 2y
y′(t) = -x - 4cosy
So,
a = -e, b = 2, c = -1, d = 0
At the critical point (0,0), the Jacobian matrix is
J(0,0) = ⎡⎣⎢⎢⎢-1 2⎤⎦⎥⎥⎥
The eigenvalues of this matrix can be found by solving the characteristic equation,
det(J - λI) = 0
where I is the identity matrix of the same size as J.
det ⎡⎣⎢⎢⎢-1-λ 2⎤⎦⎥⎥⎥ = (-1-λ)(-λ) - 2(2) = λ^2 + λ - 4
Using the quadratic formula, we get the eigenvalues as
λ1 = (-1 + sqrt(17))/2 ≈ 0.56
λ2 = (-1 - sqrt(17))/2 ≈ -2.56
Since the eigenvalues have opposite signs, the critical point is a saddle.
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joy needs to score in the top 10% of her class to earn a nursing certification. the class mean is 78, and the standard deviation is 5.5. what raw score does she need to get that certification? show all your work.
Answers
Joy needs to score at least 85.04 to be in the top 10% of her class and earn a nursing certification.
To find the raw score that Joy needs to obtain to score in the top 10% of her class, we can use the standard normal distribution table.
First, we need to find the z-score that corresponds to the top 10% of the distribution. Since the normal distribution is symmetric, the top 10% is the same as the bottom 90%. From the z-table, we can find that the z-score that corresponds to the bottom 90% of the distribution is approximately 1.28.
Next, we use the formula for the z-score:
z = (x - μ) / σ
where x is the raw score, μ is the population mean, and σ is the population standard deviation.
Substituting the given values, we have:
1.28 = (x - 78) / 5.5
Multiplying both sides by 5.5, we get:
7.04 = x - 78
Adding 78 to both sides, we get:
x = 85.04
Therefore, Joy needs to score at least 85.04 to be in the top 10% of her class and earn a nursing certification.
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Suppose the first derivative of f(x) is f'(x) = x3 – 6x² + 11x – 6. - Where is f(x) increasing? Use interval notation in your answer. Indicate oo with Inf. If more than one, use commas to separate.
Answers
The f(x) is increasing in the intervals (1, 2) and (2, 3), which can be expressed in interval notation as (1, 2) U (2, 3).
To determine where the function f(x) is increasing, we need to find the intervals where the derivative f'(x) is positive.
The derivative f'(x) = x^3 - 6x^2 + 11x - 6.
To find where f'(x) > 0, we can factor the expression:
f'(x) = (x - 1)(x - 2)(x - 3)
Now we can analyze the sign of f'(x) in different intervals:
For x < 1: Since all the factors (x - 1), (x - 2), and (x - 3) are negative, the product f'(x) will be negative. Therefore, f'(x) < 0 in this interval.
For 1 < x < 2: In this interval, the factors (x - 1) and (x - 2) are positive, while (x - 3) is negative. So, the product f'(x) will be positive. Therefore, f'(x) > 0 in this interval.
For 2 < x < 3: In this interval, the factors (x - 1) and (x - 2) are positive, while (x - 3) is negative. So, the product f'(x) will be positive. Therefore, f'(x) > 0 in this interval.
For x > 3: Since all the factors (x - 1), (x - 2), and (x - 3) are positive, the product f'(x) will be positive. Therefore, f'(x) > 0 in this interval.
Based on the analysis, we can conclude that f(x) is increasing in the intervals (1, 2) and (2, 3), which can be expressed in interval notation as (1, 2) U (2, 3).
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the age of Edna, Ellie, and Elsa are consecutive integers. the sum of their ages is 117 what are their ages?
Answers
Answer:
Their ages are 38,39 and 40.
Step by step explanation:
If they were all the same age, then their ages would be:
\(\frac{117}{3}=39\)But, they are consecutive integers. So, you can make Elsa 40 and Edna 38.
\(38+39+40=117\)What would be the 50th term than?
Answers
The 50th term is 290.
What is an arithmetic sequence?It is a sequence where there is a common difference between each consecutive term.
Example:
12, 14, 16, 18, 20 is an arithmetic sequence.
We have,
-4, 2, 8, 14,
This is an arithmetic sequence.
First term = a = - 4
Common difference.
d = 2 - (-4) = 6
d = 8 - 2 = 6
Now,
The nth term = a + (n -1)d
So,
n = 50
a = -4
d = 6
50th term.
= -4 + (50 - 1) 6
= - 4 + 49 x 6
= - 4 + 294
= 290
Thus,
The 50th term is 290.
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The complete question:
What is the 50th term of the sequence that begins −4, 2, 8, 14, ...?
Find the value of x so that f(x) = 7.
Answers
Answer:
-2
Step-by-step explanation:
A certain store has 3,000 employees working at its main location in a city and 100 employees working at a smaller location outside the city. The store manager will select a sample of 50 employees from all the employees to ask their opinions about extending store hours during the holidays. What is the advantage of selecting a stratified random sample, with location as strata, instead of a simple random sample?.
Answers
The stratified sample ensures that the opinions of employees from both locations are represented.
This statement is correct because it ensures that the survey results represent the views of employees from both rural and urban locations. Gathering the views of employees from both locations will further ensure that any policy that depends on the results of this survey will not only represent the interests of urban employees (as they are the majority), but also those of rural employees.A stratified sample will be more expensive to implement than a simple random sample and may not necessarily save money over time.A stratified sample in this case is better than a random sample in generating results that are more representative of store employees from both locations.Learn more about stratified samples here:
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suppose that we have 5 matrices a a 3×2 matrix, b a 2×3 matrix, c a 4×4 matrix, d a 3×2 matrix, and e a 4×4 matrix. which of the following matrix operations are defined?
Answers
The matrix operations that are defined are the following:Matrix multiplication of matrices a and b.Matrix multiplication of matrices b and a.Matrix multiplication of matrices b and d.Matrix multiplication of matrices c and e.
Given matrices area = 3 × 2 matrix b = 2 × 3 matrix c = 4 × 4 matrix d = 3 × 2 matrix e = 4 × 4 matrixWe need to check which of the given matrix operations are defined. Matrix multiplication of matrices a and b:
To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B. Since a has 2 columns and b has 2 rows, we can perform matrix multiplication of matrices a and b.
Therefore, this operation is defined. Matrix multiplication of matrices a and c:
To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B. Since a has 2 columns and c has 4 rows, we cannot perform matrix multiplication of matrices a and c.
Therefore, this operation is not defined. Matrix multiplication of matrices b and a:
To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B. Since b has 3 columns and a has 3 rows, we can perform matrix multiplication of matrices b and a.
Therefore, this operation is defined. Matrix multiplication of matrices b and d:
To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B. Since b has 3 columns and d has 3 rows, we can perform matrix multiplication of matrices b and d.
Therefore, this operation is defined. Matrix multiplication of matrices c and d:
To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B.
Since c has 4 columns and d has 3 rows, we cannot perform matrix multiplication of matrices c and d. Therefore, this operation is not defined.
Matrix multiplication of matrices c and e:
To multiply two matrices A and B, the number of columns in matrix A must be equal to the number of rows in matrix B.
Since c has 4 columns and e has 4 rows, we can perform matrix multiplication of matrices c and e.
Therefore, this operation is defined.
The matrix operations that are defined are the following:
Matrix multiplication of matrices a and b.Matrix multiplication of matrices b and a.Matrix multiplication of matrices b and d.Matrix multiplication of matrices c and e.
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(y-x)³; where x=1, and y=3 (with calculations pls).
Answers
Answer:
8
Step-by-step explanation:
Substitute x = 1 and y = 3 into the expression
(y - x)³
= (3 - 1)³
= 2³
= 8
ASAP!!!!!!!!! PLEASE help me with this question! This is really urgent! No nonsense answers please.
Answers
=================================================
Explanation:
Arcs CBH and FGH are given, while arc CDF is unknown. Let's call this y
y = measure of arc CDF
Adding the three arcs forms a full circle of 360 degrees
(arc CBH)+(arc FGH)+(arc CDF) = 360
170+64+y = 360
y+234 = 360
y = 360-234
y = 126
arc CDF = 126 degrees
Then notice how inscribed angle x cuts off arc CDF. By the inscribed angle theorem, we take half of the arc measure to get the inscribed angle measure.
inscribed angle = (arc measure)/2
x = (arc CDF)/2
x = 126/2
x = 63
Answer:
rewrite the fromula 126
Step-by-step explanation:
Cynthia used her statistics from last season to design a simulation using a random number generator to predict what she would score each time she got possession of the ball.
b. What is Cynthia's average value for a possession? her expected value?
Answers
Cynthia's average value for a possession, based on the given information, is 0.8 points. This value represents the expected score she would achieve each time she gets possession of the ball
Based on the given information, Cynthia's scores for each possession range from 0 to 3 points. The frequency of each score is as follows:
- Score 0: 31 times
- Score 1: 0 times
- Score 2: 17 times
- Score 3: 2 times
To calculate Cynthia's average value for a possession, we can multiply each score by its corresponding frequency, sum them up, and divide by the total number of possessions:
Average value = (0 * 31 + 1 * 0 + 2 * 17 + 3 * 2) / (31 + 0 + 17 + 2) = (0 + 0 + 34 + 6) / 50 = 40 / 50 = 0.8
Therefore, Cynthia's average value for a possession is 0.8.
It's worth noting that the expected value is another term for the average value in this context. So Cynthia's expected value for a possession is also 0.8.
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The complete question is:
Cynthia used her statistics from last season to design a simulation using a random number generator to predict what she would score each time she got possession of the ball. Given the following data:
Integer Values: 1-14 15 16-28 29-30
Points Scored: 0 1 2 3
Frequency: 31 0 17 2
What is Cynthia's average value for a possession? What is her expected value?
A recipe for art paste says "For every 2 pints of water, mix in 8 cups of flour."
1. Follow the instructions to draw a double number line diagram representing the recipe
for art paste.
Draw two parallel lines.
a.
b.
Label the first line "pints of water." Label the second line "cups of flour."
Q
Draw at least 6 equally spaced tick marks that line up on both lines.
d!
Along the water line, label the tick marks with the amount of water in 0, 1, 2, 3, 4,
and 5 batches of art paste.
Along the flour line, label the tick marks with the amount of flour in 0, 1, 2, 3, 4, and
5 batches of art paste.
Answers
Answer:
Happy Saint Patricks day
Which equation can be used to solve for x in the following diagram?
72°
112°
PLEASE HELP LOL
Answers
Answer:
D
Step-by-step explanation:
You can tell it's a right angle by the box drawn
what is the slope of a line that is perpendicular to line t on the graph?
Answers
Answer:
Slope = 6
Step-by-step explanation:
Taking two points on line l to find its slope: (0, 3) and (6, 2).
Slope of line l =
We know that the slope of a line which is perpendicular to another line has a slope which is a negative reciprocal of the other line.
Therefore, the slope of the line which is perpendicular to line l will have a slope of 6.
MARK BRAINLIEST PLS
What is the equation of the line represented by the table below
Answers
Answer:
Step-by-step explanation:
let x =0 then it's 2 so 0.2(x+2) is a formula that works,
y = 0.2(X+2)
:) these are not easy, btw
A can holds 753 .6 cubic centimeters of juice. the can has a diameter of 8 centimeters. what is the height of the can? use 3.14 for 7t. enter your answer in the box.
Answers
According tot the question we have the height of the can is approximately 15 centimeters.
To find the height of the can, we need to use the formula for the volume of a cylinder, which is V = πr^2h, where r is the radius of the cylinder and h is its height. We know that the diameter of the can is 8 centimeters, which means the radius is 4 centimeters. We also know that the can holds 753.6 cubic centimeters of juice. So, we can set up the equation as follows:
753.6 = π(4)^2h
Simplifying this equation, we get:
753.6 = 16πh
Dividing both sides by 16π, we get:
h = 753.6 / (16π)
Using 3.14 for π, we can calculate:
h = 753.6 / (16 x 3.14)
h ≈ 15 centimeters
Therefore, the height of the can is approximately 15 centimeters.
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Find the missing side or angle.
Round to the nearest tenth.
A=60°
b=50
C=48
a=[ ]
Answers
Answer:
202
Step-by-step explanation:
360 - 60+50+48
360-158
= 202
Answer:
The answer would be 49
Step-by-step explanation:
Trust
HELP!!!!!!!!!!!!!! ILL GIVE BRAINILIST
Answers
\( => \frac{1}{3} \div \frac{4}{5} \)
\( = > \frac{1}{3} \times \frac{5}{4} \)
\( = > \frac{1 \times 5}{3 \times 4} \)
\( = > \frac{5}{12} \)
|| Final Answer ||\( \frac{5}{12} \)\( \rm \huge \bold Answer : \)
\( \rm\large = \frac{1}{3} \div \frac{4}{3} \)\( \: \: \: \)
\( \rm \large = \frac{1}{3} \times \frac{5}{4} \)\( \: \: \)
\( \rm \large = \frac{1 \times 5}{3 \times 4} \)\( \: \: \)
\( \boxed{ \rm \large \bold {= \frac{5}{14}} }\)\( \: \: \)
Hope Helps!!write an equation of the line that has each pair of intercepts
x-intercept: 6 y-intercept: 3
Answers
Answer: y = 6x+3
Step-by-step explanation:
Need this very badly
Answers
(8x5)x2= 80 square ft
8x7= 56 square ft
50+80+56=186 square ft
D) 186 square ft