The linear regression equation is y = 41,461.54 + 2,714.46x.
The correlation coefficient is 0.992180617.
The type of correlation is a positive linear correlation.
Yes, the correlation is strong because the correlation coefficient approximately equals to 1.
The employee's income for his 15th year of work is $82,178.
How to write the linear regression equation?In this scenario, the years (x) would be plotted on the x-axis of the scatter plot while the income (y) would be plotted on the x-axis of the scatter plot.
By critically observing the scatter plot (see attachment) which models the relationship between the years (x) and the income (y), an equation for the linear regression is given by:
y = 41,461.54 + 2,714.46x
Next, we would predict this employee's income for his 15th year of work as follows;
y = 41,461.54 + 2,714.46(15)
y = 41,461.54 + 40,716.9
y = $82,178.44 ≈ $82,178
In conclusion, there is a strong correlation between the data because the correlation coefficient (r) approximately equals to 1;
0.7<|r| ≤ 1 (strong correlation)
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Please help me I am so lost
Answer:
x = 64°
Step-by-step explanation:
In a parallel line the opposite angle sides have the same value.
first you have to get the value of the angle beside the 128° angle.
we know the half the circle has 180°. so the rest of the angle must be 180° - 128° = 52°
Now the opposite site of the parallel line its going to be the same.
since now we have the value of the angle.
2x + 52 = 180
2x = 180-52
2x = 128
x = 128/2
x = 64
OR,
You can just cut all the nonsense and write
2x = 128°
because its on the opposite side of the parallel. the value will be same.
so,
x = 128/2
x = 64
Thank me later.
After an office party, 4 1/3 pizzas are left. A day later, there are 1 5/6 pizzas left. How munch pizza was eaten during the day after the party
Answer:
15/6 pieces of pizza were eaten. Which is equivalent to 2.5. So 2.5 pizzas were eaten.
Step-by-step explanation:
Just did the math. Convert 4 1/3 to 0/6. So 1 times 2 is 2, and 3 times 2 is 6. Which would give you 4 2/6 which has the same denominator as 1 5/6.
What is the maximum number of major ideas that can be included in a specific purpose statement?
one
The maximum number of major ideas that can be included in a specific purpose statement depends on several factors, but it is generally recommended that the statement include one to three major ideas. This helps the speaker to focus their ideas and organize their content in a way that effectively communicates their message to the audience
A specific purpose statement is a statement that defines the main objective or goal of a speech or presentation. It serves as a guide for the speaker, helping them to focus their ideas and organize their content in a way that effectively communicates their message to the audience.
The number of major ideas that can be included in a specific purpose statement depends on several factors, including the length of the speech or presentation, the complexity of the topic, and the speaker's ability to effectively communicate their message.
In general, it is recommended that a specific purpose statement include only one to three major ideas. This allows the speaker to focus their attention on a limited number of key points and ensures that the audience is not overwhelmed with too much information. Additionally, having a limited number of major ideas makes it easier for the speaker to organize their content and for the audience to understand and retain the information.
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A specific purpose statement should include one or two major ideas that are focused and directly relevant to the topic at hand.
Including too many ideas can make the statement confusing and difficult for the audience to understand, so it's important to be selective about which ideas to include.
The goal is to create a specific purpose statement that is clear, concise, and easy for the audience to understand, while effectively conveying the key ideas of the communication.
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The next number in the series 2, 5, 11, 20, 32, 47, is: _________
Step-by-step explanation:
2 + 3 =
5 + 6 =
11 +9 =
20 +12=
32 +15 =
47 +18 =
65 See the pattern?
The foci of an ellipse are (3, 0) and (-3, 0), and the vertices are (7, 0) and (-7, 0) Find an equation of the ellipse. Then sketch the conic section and bring the sketch to your discussion section. Which form (below) does the equation of the given fit? X^2/c^2 + y/d = 1 x/c + y^2/d^2 = 1 x^2/x^2 + y^2/d^2 = 1 x^2/c^2 - y^2/d^2 = 1 y^2/sigma^2 - x^2/c^2 = 1
To find the equation of the ellipse with the given foci and vertices, we need to determine the values of c and d in the equation of the form (\(x-h)^2/a^2 + (y-k)^2/b^2 = 1\) , where (h, k) is the center of the ellipse.
From the given information, we can observe that the center of the ellipse is at the origin (0, 0) since the foci are equidistant from the origin. Additionally, we can see that the distance from the center to each vertex is a = 7.
The distance between the foci is determined by the equation \(c=\sqrt{(a^2 - b^2)}\), where b is the distance from the center to each co-vertex. In this case, b = 0 since the ellipse is horizontally aligned. Therefore, c = √(7² - 0²) = sqrt(49) = 7.
Now we have the values of a = 7 and c = 7. Substituting these into the equation, we get:
\((x-0)^2/7^2 + (y-0)^2/b^2 = 1\\x^2/49 + y^2/b^2 = 1\)
Since b² is not given, we cannot determine its exact value. Therefore, the equation of the ellipse is:
\(x^2/49 + y^2/b^2 = 1\)
Regarding the provided forms, none of the given options precisely matches the equation of the ellipse we derived.
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en una granja hay comida para alimentar a 300 conejos durante 60 días. Cuántos conejos hay que vender si se quieren alimentar durante 15 días más?
The number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.
In a farm, there is food to feed 300 rabbits for 60 days.
Let x be the number of rabbits that must be sold if they want to be fed for 15 more days.
From the given data, we have the following equation:
300 * 60 = (300 - x) * 75
The equation represents the amount of food for 300 rabbits that can last 60 days is equal to the amount of food for 300 - x rabbits that can last 75 days.
Solving for x, we get:
x = 150 rabbits
Hence, the number of rabbits that must be sold if they want to be fed for 15 more days is 150 rabbits.
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please be quick i dont have that much time
Answer:
To find the sum of interior angles in a polygon, we can use the formula:
\(180(n-2)\) where n is the number of sides.
Since this is pentagon (5 sides), then \(180(5-2)=180*3=540\)
The missing angle would then be
\(540-97-111-104-115=113\)
Since angles on a straight line add up to 180, then
\(x+113=180\)
\(x=67\)
Find the inequality represented by the graph
The inequality represented by the graph is y ≥ -x + 2
How to find the inequality the graph representsA graph is a pictorial representation of data and the graph presented represents inequality data
The graph shows a linear function written in the form
y = mx +c
where slope, m calculated as
c = intercept
x = input variables
y = output variables
calculation of slope
The points used for the slope is gotten from the graph as (0. 2) (1, 1)
m = (y₂ -y₁) / (x₂ - x₁)
substituting the values
= ( 2 - 1 ) / ( 0 - 1 )
= 1 / -1
= -1
y intercept, c this is a point where the graph cuts the y axis
c = 2
The graph contains a solid line as result there will be "equal to" attached to the inequality symbol usedshading above the line means greater thanThe two points result greater than or equal to written with the symbol ≥
hence the equation is
y ≥ -x + 2
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You may need to use the appropriate appendix table or technology to answer this question.
Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historically, Lori obtains a book adoption on 25% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0625.
(a)
How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?
sales calls
(b)
Let
p
indicate the sample proportion of book adoptions obtained during the month. Show the sampling distribution of
p.
A bell-shaped curve is above a horizontal axis labeled p.
In order of left to right, the ticks on the horizontal axis are labeled: −0.0625, 0, 0.0625, 0.125, 0.1875.
The curve enters the viewing window near −0.0625 just above the horizontal axis and travels up to the right to a maximum near 0.0625.
After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.1875.
A bell-shaped curve is above a horizontal axis labeled p.
In order of left to right, the ticks on the horizontal axis are labeled: −1.75, −0.75, 0.25, 1.25, 2.25.
The curve enters the viewing window near −1.75 just above the horizontal axis and travels up to the right to a maximum near 0.25.
After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 2.25.
A bell-shaped curve is above a horizontal axis labeled p.
In order of left to right, the ticks on the horizontal axis are labeled: 0.125, 0.1875, 0.25, 0.3125, 0.375.
The curve enters the viewing window near 0.125 just above the horizontal axis and travels up to the right to a maximum near 0.25.
After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.375.
A bell-shaped curve is above a horizontal axis labeled p.
In order of left to right, the ticks on the horizontal axis are labeled: −0.125, −0.0625, 0, 0.0625, 0.125.
The curve enters the viewing window near −0.125 just above the horizontal axis and travels up to the right to a maximum near 0.
After reaching the maximum, the curve then travels down and to the right until it leaves the viewing window at the same height it entered near 0.125.
(c)
Using the sampling distribution of
p,
compute the probability that Lori will obtain book adoptions on 15% or more of her sales calls during a one-month period. (Round your answer to four decimal places.)
The sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.
The sample size used in this analysis, representing the number of sales calls Lori made during the month, can be determined using the standard error of the proportion and the desired level of confidence.
To calculate the sample size, we need to use the formula:
\(n = (Z^2 * p * (1 - p)) / E^2\)
Where:
n = sample size
Z = z-score corresponding to the desired level of confidence
p = estimated proportion (historical book adoption rate)
E = margin of error (standard error of the proportion)
Given the standard error of the proportion as 0.0400, we can use this value as the margin of error (E). Assuming a 95% level of confidence, the corresponding z-score is approximately 1.96.
Plugging these values into the formula, we have:
n = (1.96^2 * 0.20 * (1 - 0.20)) / 0.0400^2
Simplifying the equation, we get:
n = (3.8416 * 0.20 * 0.80) / 0.0016
n = 0.61536 / 0.0016
n ≈ 384.6
Therefore, the sample size used in this analysis, representing the number of sales calls Lori made during the month, is approximately 385.
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Lori Jeffrey is a successful sales representative for a major publisher of college textbooks. Historicaly, Lori obtains a book adoption on 20% of her sales calls. Viewing her sales calls for one month as a sample of all possible sales calls, assume that a statistical analysis of the data yields a standard error of the proportion of 0.0400. Use z-table. How large was the sample used in this analysis? That is, how many sales calls did Lori make during the month?
Manco went scuba diving. As he dove deeper, the water pressure around him increased at a constant rate.
The table compares Manco's depth (in meters) and the water pressure around him (in atmospheres).
What is the rate of change of the water pressure?
Answer:
0.1 atmospheres per meter
Step-by-step explanation:
Depth (meters) = x
Pressure (atmospheres) = y
Using two pairs of values from the table, (13, 2.3) and (17, 2.7),
Rate of change of the water pressure = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{2.7 - 2.3}{17 - 13} = \frac{0.4}{4} = 0.1 \)
Rate of change of the water pressure = 0.1 atmospheres per meter
Answer:
0.1 atmospheres per meter
Step-by-step explanation:
khan hints
I will mark you brainiest!!!
A passenger train left the station and traveled toward Las Vegas at an average speed of 55mph. A cattle train left at the same time and traveled in the opposite direction with an average speed of 65mph. Which equation best represents this situation when the trains are 960 mi apart?
A - 65x - 55(2) = 960
B - 65x - 55x = 960
C - 65x + 55(2) = 960
D - 65x + 55x = 960
E - 65(2) + 55x = 960
Answer:
The answer is b
Step-by-step explanation:
The distance traveled by the passenger train and the cattle train is equal to the total distance between them, which is 960 miles. Let x be the time (in hours) traveled by the passenger train and cattle train. Then, the equation that represents this situation is:
55x + 65x = 960
Simplifying the left-hand side of the equation, we get:
120x = 960
Dividing both sides by 120, we get:
x = 8
Therefore, the correct equation is:
B - 65x - 55x = 960
A circle has diameter of 120cm.
Work out the circumference of the circle.
Give your answer correct to 3 significant figures.
Do not state units with your answer. *
(2 Points)
Enter your answer
Step-by-step explanation:
Circumference =
\(\pi r{}^{2} \)
So, we can take the value of as 22/7
\(\pi\)
"r" stands for radius. Radius is half the diameter.
So Radius =120/2=60
Now,
22/7*60*60=11314. 28cm2
PLEASE APPRECIATE THE EFFORT AND MARK AS BRAINILIEST.
select the correct answer. the average temperature at the south pole is -49.62°c, and the average temperature at the north pole is -34.68°c. how much higher is the average temperature at the north pole than at the south pole?
If the average temperature at the South Pole is -49.62°C and the average temperature at the North Pole is -34.68°C, then the average temperature at the north pole is higher at the south pole by 14.94°C.
To find out how much higher the average temperature is at the North Pole compared to the South Pole, follow these steps:
We need to subtract the temperature at the South Pole from the temperature at the North Pole. So, the calculation would be:Therefore, the average temperature at the North Pole is 14.94°C higher than at the South Pole.
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The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the fathers age at that time. What is the present ages of father and son?.
The present ages of the father and son are 36 and 9, respectively.
The sum of the ages of a father and son is 45 years. Five years ago, the product of their ages was four times the father's age at that time. To find the present ages of the father and son, we can set up a system of equations.
Let's denote the present ages of the father as "F" and the present age of the son as "S".
From the information given, we have two equations:
Equation 1: F + S = 45 (The sum of their ages is 45)
Equation 2: (F - 5)(S - 5) = 4(F - 5) (Five years ago, the product of their ages was four times the father's age at that time)
To solve this system of equations, we can use substitution or elimination method.
Let's solve it using the substitution method:
From Equation 1, we can express F in terms of S: F = 45 - S
Now, substitute F in Equation 2 with 45 - S:
(45 - S - 5)(S - 5) = 4(45 - S - 5)
Simplify the equation:
(40 - S)(S - 5) = 4(40 - S)
Expand and simplify:
40S - 5S - 200 + 25 = 160 - 4S
Combine like terms:
35S - 175 = 160 - 4S
Add 4S to both sides:
35S + 4S - 175 = 160
Combine like terms:
39S - 175 = 160
Add 175 to both sides:
39S = 335
Divide both sides by 39:
S = 335/39
Simplify:
S ≈ 8.59
Since age cannot be in decimal places, we can approximate the son's age to the nearest whole number:
S ≈ 9
Now, substitute S = 9 into Equation 1 to find the father's age:
F + 9 = 45
Subtract 9 from both sides:
F = 45 - 9
F = 36
Therefore, the present ages of the father and son are 36 and 9, respectively.
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what is the equation of a line that passes through the point (5,-3) and is parallel to 6x+3y=-12
The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.
What does equation of parallel lines mean?Parallel lines are those that never intersect. As a result, two parallel lines must have the same slope but different intercepts (if they had the same intercepts, they would be identical lines).
The equation of the line is 6x+3y=-12.
6x+3y=-12
3y =-12-6x
y = -2x-4
The slope of this line is -2.
Because parallel lines have the same slope, the new line will also have a slope of -2.
You now have a point (5,-3) and a slope; thus, use the Point-Slope form to solve the equation of a line.
y-y₁= m(x-x₁)
y+3 = -2(x -5)
y+3 = -2x+10
y =-2x+7
The equation of a line passing through the point (5,-3) and parallel to 6x+3y=-12 is y =-2x+7.
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I am confused how they were able to get the constraints in ch6
problem 10P
In Chapter 6, Problem 10P, the constraints are derived based on the given problem scenario and the objective of the optimization problem. Without specific details about Problem 10P in Chapter 6, it is challenging to provide a precise explanation.
However, I can provide a general understanding of how constraints are typically formulated in optimization problems. In optimization problems, constraints are used to represent the limitations or restrictions on the decision variables. These constraints can arise from various sources, such as physical constraints, resource constraints, budget constraints, or technical constraints. To derive the constraints, you need to carefully analyze the problem statement and identify the conditions or limitations that must be satisfied. These conditions are then translated into mathematical inequalities or equations that relate the decision variables. For example, if the problem involves allocating limited resources among different activities, the constraints would represent the availability of those resources and ensure that the total allocation does not exceed the available amount. Similarly, if the problem involves production planning, constraints might include demand requirements, capacity limitations, or inventory constraints. In general, the process of formulating constraints requires careful consideration of the problem's requirements, objectives, and limitations. It often involves translating real-world constraints into mathematical expressions to create a well-defined optimization problem that can be solved using appropriate techniques.
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12) Which name we can give to these triangle
Answer:
The first one is isosceles and the second one is scalene.
This is because the first triangle has two equal sides, therefore it is isosceles and the second one has no equal sides so it is scalene.
Answer:
obtuse triangle and scalene triangle (sana nakatulog sayo)
-x/5-8=12
Show work
And check
Answer:
\(\huge\boxed{\sf x = -100}\)
Step-by-step explanation:
Given equation:\(\displaystyle -\frac{x}{5} -8=12\\\\Add \ 8 \ to \ both \ sides\\\\-\frac{x}{5} = 12+ 8\\\\-\frac{x}{5} = 20\\\\Multiply \ both\ sides \ by \ 5\\\\-x = 20 \times 5\\\\-x = 100\\\\Multiply\ both \ sides \ by\ -1\\\\x = -100\\\\\rule[225]{225}{2}\)
each student is classified as a member of one of the following classes: freshman, sophomore, junior, senior. find the minimum number of students who must be chosen in order to guarantee that at least eight belong to the same class. 37
The minimum number of students who must be chosen is 29.
In the given question we have to find the minimum number of students who must be chosen in order to guarantee that at least eight belong to the same class.
As we know each student is classified as a member of one of the following classes: freshman, sophomore, junior, senior.
The four classes are the pigeonholes. A group of 28 students could have 7 belonging to each class. But if there are 29 students, at least 8 must be members of the same class. Therefore, the minimum number of students who must be chosen is 29.
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The right question is given below:
Jessica is traveling at a speed of 50 miles per hour in her truck. After 5 hours, how far will she have traveled?
Answer:
250
Step-by-step explanation: because 5*50=250
Answer:
250 miles
Step-by-step explanation:
I
need the details why we choose answer c
109) Use the following random numbers to simulation crop yield for 10 years: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81. What is the estimated crop yield from the simulation? A) 425 B) 442 C) 440 D) 475 A
The estimated crop yield from the simulation is 443 (option b).
To estimate the crop yield from the given random numbers, we need to assign a specific meaning to each random number. Let's assume that each random number represents the crop yield for a particular year.
Given random numbers: 37, 23, 92, 01, 69, 50, 72, 12, 46, 81
To find the estimated crop yield, we sum up all the random numbers:
37 + 23 + 92 + 01 + 69 + 50 + 72 + 12 + 46 + 81 = 443
Therefore, the estimated crop yield from the simulation is 443. The correct option is b.
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Ethan works as a server in a restaurant. He gets a `15\%` tip on the cost of every order. What t
The amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.
To calculate the amount of tip that Ethan receives on every order, we can use the formula:
Tip amount = (Tip percentage) x (Cost of order)
In this case, the tip percentage is `15\%` and the cost of order is the variable we need to find.
Let's assume that the cost of an order is $100. Using the formula above, we can calculate the amount of tip that Ethan receives:
Tip amount = (`15\%`) x ($100)
Tip amount = $15
Therefore, Ethan receives a $15 tip on an order that costs $100.
If the cost of an order is different, we can simply plug in the new value into the formula and calculate the tip amount accordingly. For example, if the cost of an order is $50, the tip amount would be:
Tip amount = (`15\%`) x ($50)
Tip amount = $7.50
In conclusion, to calculate the amount of tip that Ethan receives on every order, we can use the formula Tip amount = (Tip percentage) x (Cost of order) and plug in the values accordingly.
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HOW DO I FIND THE SLOPE OF A LINE PERPENDICULAR TO EACH GIVEN LINE???
HI ITS ME AGAIN I NEED HELP WITH THIS PLSS
1/5y = -1-8/5x
Answer:
Slope intercept formula is Y=MX +B
Step-by-step explanation:
so all you need to do is put the equation in that Form
THE SLOPE WOULD BE -8
How do I prove that |a+b| = |a|+|b| if ab is greater than or equal to 0?
To prove that |a+b| = |a|+|b| if ab is greater than or equal to 0, we need to use the triangle inequality:
|x+y| ≤ |x| + |y| for all x,y ∈ ℝ|x+y| ≥ |x| + |y| if x and y have the same signWhen a and b have the same sign, they are both greater than or equal to 0. Thus, the triangle inequality tells us that |a+b| ≥ |a| + |b|. We can then conclude that if a and b have the same sign, then |a+b| = |a|+|b|.
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Using the approximation of 5 miles = 8 km How many km is 6 miles?
Step-by-step explanation:
Divide 8 by 5 to represent how much greater km's is than miles:
\(\frac{8}{5} =1.60\)
km is 1.6 times greater than miles, using the approximation.
Multiply 6 and 1.6 to represent the amount of km's:
\(6 \times 1.6= 9.6\)
There is 9.6 km's in 6 miles
Plz Help Brainliest To First Answer
In rhombus ABCD , m∠BCE=33∘ .
What is m∠ABE ?
Answer:
57 deg
Step-by-step explanation:
Rhombus ABCD has diagonals AC and BD which intersect at point E.
The diagonals of a rhombus divide the rhombus into 4 congruent triangles.
If you find the measures of the angles of one of the triangles, then you know the measures of the angles of all 4 triangles.
Also, the diagonals of a rhombus are perpendicular.
Look at triangle BCE.
m<BCE = 33
m<BEC = 90
m<BCE + m<BEC + m<CBE = 180
33 + 90 + m<CBE = 180
m<CBE = 57
<ABE in triangle ABE corresponds to <CBE in triangle BCE.
m<ABE = m<CBE = 57
Answer: 57 deg
Write each product in exponential form.
3x3x3x3x3
Answer:
3^5, because thats 5 3's
Step-by-step explanation:
Answer:
3⁵
Step-by-step explanation:
Adele opens an account with $130 and deposits $25 a month. Kent opens an account with $90 and also deposits $25 a month. Will they have the same amount in their accounts at any point? If so, in how many months and how much will be in each account? Complete the explanation.
Answer:
no they will never have the same amount of money because Adele will always have forty more dollars in the account
Step-by-step explanation:
130 > 90 HOPE THIS HELPS. GOOD LUCK
$\triangle DEF$ is the medial triangle of $\triangle ABC$ and $\triangle XYZ$ is the medial triangle of $\triangle DEF.$ If the perimeter of $\triangle XYZ$ is $5$, what is the perimeter of $\triangle ABC
A medial triangle is made from the midlines of the larger triangle, and its
length is half the length of the third side of the triangle.
The perimeter of ΔABC is 20Reasons:
The medial triangle of triangle ΔABC is triangle ΔDEF
The medial triangle of ΔDEF is ΔXYZ
The perimeter of ΔXYZ = 5
By the midpoint theorem, we have;
The lengths of the sides of ΔDEF = 0.5 × The lengths of the sides of ΔABC
∴ The perimeter of ΔDEF = 0.5 × The perimeter of ΔABC
Which gives;
The perimeter of ΔABC = 2 × The perimeter of ΔDEF
Similarly, between ΔXYZ and ΔDEF, we have;
The perimeter of ΔDEF = 2 × The perimeter of ΔXYZ
∴ The perimeter of ΔDEF = 2 × 5 = 10
Therefore;
The perimeter of ΔABC = 2 × 10 = 20
The perimeter of ΔABC = 20
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Answer:hoppp
Step-b 000hgfby-step explanation:
if other factors are held constant, if the pearson correlation between x and y is r = 0.80, then the regression equation will produce more accurate predictions than would be obtained if r = 0.60. T/F
True. The Pearson correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, such as x and y.
The regression equation is used to make predictions or estimate the value of one variable (dependent variable) based on the value of another variable (independent variable).
When the correlation coefficient (r) is higher (closer to 1 or -1), it indicates a stronger linear relationship between the variables. In this case, when r = 0.80, it suggests a stronger linear relationship between x and y compared to when r = 0.60.
A stronger linear relationship between the variables implies that the regression equation will produce more accurate predictions. This is because the relationship between the variables is better captured by the regression model when there is a stronger correlation. Therefore, when r = 0.80, the regression equation is expected to provide more accurate predictions compared to when r = 0.60.
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