The following data shows the age of peoplesurveyed (x) and each person's favoritenumber (y).What type of correlation does the data have?x 2 8 14 21 30y 35 9 3 24 7X 쉬A. PositiveB. NegativeC. None
Answers
We have two variables and we have to analyze which type of correlation they have, if there is any.
We can graph this data in order to see if there is correlation.
The graph of y(x) is:
There seems to be a tendency for smallest values of y when x increases, but it is debatable.
We will then calculate the correlation coefficient and then use this result to decide if there is correlation or not.
To calculate the correlation coefficient rxy in a sample, we apply:
\(r_{xy}={\frac{\sum_{i=1}^{n}(x_{i}-{\bar{x}})(y_{i}-{\bar{y}})}{{\sqrt{\sum_{i=1}^{n}(x_{i}-{\bar{x}})^{2}}}{\sqrt{\sum_{i=1}^{n}(y_{i}-{\bar{y}})^{2}}}}}\)In this case, we are going to use software to calculate this correlation.
The result for this sample is rxy = -0.46.
This indicates there is a low degree negative correlation between x and y.
Answer: B. Negative.
Related Questions
Find the ratio
Please help
Answers
And sin (soh) is the Opposite side divided by the Hypotenuse, so it would be b24/25
What reason can be used to complete this proof?
m∠1=m∠3 because ∠1≅∠3.
m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.
m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB=m∠AXD by the transitive property of equality.
So, ∠AXD≅∠CXB.
Answers
Answer:
Option (2)
Step-by-step explanation:
Given:
∠1 ≅ ∠3
To Prove:
∠AXD ≅ ∠CXB
Solution:
Given question is incomplete; find the complete question in the attachment.
Statements Reasons
1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3 1). Given
2). m∠1 + m∠2 = m∠CXB and
m∠2 + m∠3 = m∠AXD 2). Angle addition postulate
3). m∠1 + m∠2 = m∠AXD 3). Because you can substitute
m∠1 for m∠3
4). m∠CXB = m∠AXD 4).Transitive property of equality
5). ∠AXD ≅ ∠CXB
Therefore, Option (2) will be the correct option.
Solve the compound inequality.
- 4x + 2
3
-3≤
≤4
Answers
Answer:
The inequality can be solved by isolating the variable x on one side of the inequality. To do this, we can first add 4x to both sides of the inequality:
-2 ≤ 4x + 3 ≤ 4
Next, we can subtract 3 from both sides of the inequality:
-5 ≤ 4x ≤ 1
Finally, we can divide both sides of the inequality by 4 to solve for x:
x ≥ -5/4 and x ≤ 1/4
So the solution of the compound inequality is x ≥ -5/4 and x ≤ 1/4
We can also express this solution in interval notation: [-5/4, 1/4]
Note that the compound inequality has two separate inequality signs, indicating that the solution is the set of all x-values that make both inequalities true.
Step-by-step explanation:
c) I use the 4 triangles to make a trapezium. What is the area of the trapezium?
Answers
Answer:
1/2=10
Step-by-step explanation:
it depends upon the area of the triwngle
algebra domain and range please help
Answers
Answer:
Option 2.
Step-by-step explanation:
Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.
Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)
Range: \((- \infty} ,0)\)∪\((0, \infty} )\)
help me with this (show work too)
Answers
Step-by-step explanation:
26400 gallons filling at the rate of 20 gallon per minute
lets take X minutes to fill the tank
20x= 26400
X=1320 minutes
no of hours = 1320/60
=22hours
b) bobby. bought turkey for 1.12×2.5= 2.8
Carla bought for 1.4 ×2.2 = 3.08
Carla spend 0.28 more
It’s takes an aero plane 3.2 hours to fly from Mumbai to Seoul. It takes the same aero plane 1 1/3 hours to fly from Seoul to Tokyo. How many hours does it take the aero plane to travel from Mumbai to Tokyo if it flies through Seoul?
Answers
To find the total time it takes for the airplane to travel from Mumbai to Tokyo via Seoul, we need to add the time taken for the Mumbai-Seoul leg and the Seoul-Tokyo leg.
The airplane takes 3.2 hours to fly from Mumbai to Seoul.
The airplane takes 1 1/3 hours to fly from Seoul to Tokyo, which is equivalent to 1.33 hours.
To find the total time, we add the two durations:
3.2 hours + 1.33 hours = 4.53 hours
Therefore, it takes approximately 4.53 hours for the airplane to travel from Mumbai to Tokyo if it flies through Seoul.
In Bridget's class, 35% of the students chose pizza as their favorite food. If 14 of the students chose pizza as their favorite food, how many students are in the class?
Answers
Answer:
40 students are in the class :)
Step-by-step explanation:
35%=14
1%=14/35=0.4
0.4*100=40=100%
Which graph represents the polar curve r = 1 + sin(θ)?
Answers
Answer:
I believe answer would be B
Step-by-step explanation:
I put the equation into desmos and B looks like the answer.
The graph of the polar curve r = 1 + sinФ is shown.
What is polar curve?A form created using the polar coordinate system is called a polar curve. Points on polar curves have varying distances from the origin (the pole), depending on the angle taken off the positive x-axis to calculate distance.
What is the graph?The graph is a demonstration of curves that gives the relationship between the x and y-axis.
Here,
r = 1 + sin(θ)
Using formula ,
r = a±bsinФ
Where,
a > 0 and b >0
and a = b
graph the cardioid.
r = 1 - sinФ
Thus, the graph of the polar curve r = 1 + sinФ is shown.
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Find the missing side lengths, put answer as radical in simplest form
Look at picture for reference
Answers
The value of the missing side lengths x and y are 5√2 and 5 respectively.
What is the value of side length x and y?The figure in the image is a right triangle.
Angle θ = 45 degree
Hypotenuse = x
Opposite to angle θ = y
Adjacent to angle θ = 5
To solve for side x and side y, we use the trigonometric ratio.
Note that:
Cosine = adjacent / hypotenuse
tangent = opposite / adjacent
Solving for x:
Cosine = adjacent / hypotenuse
Plug in the values
cos( 45 ) = 5/x
x = 5 / cos( 45 )
x = 5√2
Solving for side y:
tangent = opposite / adjacent
Plug in the values
tan( 45 ) = y/5
y = tan( 45 ) × 5
y = 5
Therefore, the value of side length x is 5 units.
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1
×
(
−
2
+
3
)
×
(
−
9
+
7
)
=
1×(−2+3)×(−9+7)
Answers
Firt you add -2 and 3 to get 1 then you add -9 and 7 to get -2 then you multiply -2 and 1 to get -2 which is your final answer.
Steph has nine mystery books on his bookshelf. this represents 30% of the books that Steph has on his bookshelf. how many total books does Steph have.
Answers
From the situation, we are given that,
a.) Steph has nine (9) mystery books.
b.) The number of mystery books is only 30% of the books that Steph has.
To solve for the total books that Steph have, we generate this equation,
\(\text{ Total number of Books = }\frac{No.\text{ of Mystery Books}}{\text{Percetage equivalent of the Mystery Books}}\text{ x 100\%}\)Thus, we get,
\(\text{Total number of Books = }\frac{9}{30(\text{\%)}}\text{ x 100(\%)}\)\(undefined\)For a certain automobile, M(x)=-.015x^2+1.32x-7.4,30=
, represents the miles per gallon obtained at a speed of x miles per hour.
(a) Find the absolute maximum miles per gallon and the speed at which it occurs.
(b) Find the absolute minimum miles per gallon and the speed at which it occurs.
Answers
Answer: (a) To find the absolute maximum miles per gallon, we need to find the maximum value of M(x). We can do this by finding the vertex of the parabola represented by M(x).
The x-coordinate of the vertex is given by:
x = -b / (2a)
where a = -0.015 and b = 1.32 in our case. Plugging in these values, we get:
x = -1.32 / (2(-0.015)) = 44
So the maximum miles per gallon occurs at a speed of 44 miles per hour.
To find the value of M(x) at this speed, we plug in x = 44:
M(44) = -0.015(44)^2 + 1.32(44) - 7.4 ≈ 32.36
Therefore, the absolute maximum miles per gallon is approximately 32.36, and it occurs at a speed of 44 miles per hour.
(b) To find the absolute minimum miles per gallon, we need to find the minimum value of M(x). We can do this by noting that the coefficient of the x^2 term is negative, which means that the parabola opens downward and has a maximum, so there is no absolute minimum.
We can also confirm this by finding the x-coordinate of the vertex, which we already calculated in part (a) to be x = 44. This means that the parabola has a minimum value of M(44), which we found to be approximately 32.36. However, this is not an absolute minimum, as there are values of M(x) that are smaller than 32.36 for other values of x. Therefore, there is no absolute minimum miles per gallon.
Step-by-step explanation:
SCL1501 ASSIGNMENT 1 2023_0 X + 20kay/Documents/2023%20assessments/SCL 1501%20ASSIGNMENT%201%202023_0adc3afa3db59caacea862 QUESTION 5 Jane Doe purchased a Range Rover last week for R790 500 (VAT incl). While driving from the Dube Port area along the N2 Road in Durban, she collides with John Wick, who is the owner-driver of a Porshe Cayenne. Doeriş is 23% negligent, whereas Wick is 33% negligent. The damage to the Range Rover is estimated at R175 000.00. It is uneconomical to repair the Porsche, but its salvage value is R125 000.00. The pre-accident value of Porsche was R985 000.00. Regarding the damages to Doe and Wick's motor vehicles, calculate who must pay whom and what would be the amount in damages. (4)
Answers
Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
What is the basic mathematical οperatiοns?The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Tο calculate the damages, we need tο find οut the prοpοrtiοn οf negligence fοr each driver and apply it tο the damages.
Let D represent Dοe and W represent Wick.
Dοe's negligence = 23%
Wick's negligence = 33%
Tοtal negligence = 23% + 33% = 56%
Therefοre, Dοe is 23%/56% = 0.4107 οr 41.07% liable, and Wick is 33%/56% = 0.5893 οr 58.93% liable.
Damage tο Range Rοver = R175 000
Dοe's liability = 41.07% οf R175 000 = R71 872.50
Wick's liability = 58.93% οf R175 000 = R103 127.50
Salvage value οf Pοrsche = R125 000
Pre-accident value οf Pοrsche = R985 000
Lοss οf value οf Pοrsche = R985 000 - R125 000 = R860 000
Wick's liability fοr lοss οf value = 58.93% οf R860 000 = R506 398.00
Therefοre, Dοe must pay Wick R506 398.00 - R71 872.50 = R434 525.50 in damages.
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Eumin pays $3.56 for 4 juice boxes.
How much would Eumin pay for 7 juice boxes?
Enter your answer in the box.
Answers
Answer:
No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23
Step-by-step explanation:
Lines m, l, and n are cut by transversal t. At the intersection of lines m and t, the uppercase left angle is angle 1 and the uppercase right angle is angle 2. At the intersection of lines n and t, the uppercase left angle is angle 3.
Lines l, m, and n lie in a plane and are cut by a transversal, t. ∠1 is supplementary to ∠2, and ∠2 is supplementary to ∠3.
Answers
Answer:
Which lines, if any, are parallel?
✔ m and n
What justifies your answer?
✔ converse of same side interior angle theorem
Step-by-step explanation:
Yes, ∠1 is supplementary to ∠2.
What supplementary angle?The Sum of all angles in a straight line equals 180°.
What is transversal?The definition of a transversal is a line that intersects a system of lines. A line that cuts across a series of two parallel lines is an example of a transversal.
What is the complementary angle formula?The 2 angles, say ∠X and ∠Y are complementary if, ∠X + ∠Y = ninety° In this sort of situation ∠X is known as the complement of ∠Y and vice-versa. In a right angle triangle, because the measure of the right angle is fixed, the last angles always shape the complementary because the sum of angles in a triangle is the same as one hundred eighty°
∠2 is complementary to ∠3.
the explanation is shown in the diagram.
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What slope pass through (2,1)(-3,-2)
Answers
what you mean but heres the points on the map u were talking about
Answer: The slope m = 3/5
Step-by-step explanation:
The slope can be found by using the formula: m = y2 - y1 / x2-x1
Where m is the slope and (x1, y1) and (x2, y2) are the two points on the line.
x1 = 2 , y1 = 1
x2 = -3 , y2 = -2
Substituting the values from the points in the problem gives :
m = -2-1 / -3-2
m = 3/5
Hence, the slope that passes through (2, 1) and (-3, -2) is 3/5.
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What is the midpoint of the line segment with the given endpoints (4,6) (3,-3)
Help it’s urgent
Answers
The coordinates of the midpoints of the given line segment is:
(3.5, 1.5)
How to find the midpoints of a line segment?The midpoint of a line segment is simply referred to as the center of that specific line segment.
Thus, the coordinates at that point will be referred to as the coordinates of the midpoint.
The coordinates of the endpoints of the line are:
(4,6) and (3,-3)
The formula to find the coordinates of the midpoint of the line is:
(x, y) = (x₁ + x₂)/2, (y₁ + y₂)/2
Thus, we have:
(x, y) = (4 + 3)/2, (6 - 3)/2
= (3.5, 1.5)
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Magnolia, Inc., manufactures bedding sets. The budgeted production is for 15,100 comforters this year. Each comforter requires 7 yards of material. The estimated January 1 beginning inventory is 5,650 yards with the desired ending balance of 5,500 yards of material. If the material costs $5.80 per yard, determine the materials budget for the year.
Answers
As a result, the annual materials budget is $611,540.
What is the budget for materials?The process of creating a material or buy budget that includes the amount and financial value of the materials to be purchased within a given time frame is known as material budgeting. Further to analysing the material requirements, it assists in estimating material prices over time.
To start, we must determine how much material will be needed to make 15,100 comforters:
15,100 comforters multiplied by their 7 yards of fabric each equal 105,700 yards of material.
The amount of material that must be purchased must then be determined:
Desired ending inventory + Material required for production - Beginning inventory = Material to be purchased
5,500 yards + 105,700 yards - 5,650 yards = 105,550 yards
Intended ending inventory plus the production-related materials minus the initial inventory equals the material to be bought.
Materials budget = Material to be purchased x Cost per yard
Materials budget = 105,550 yards x $5.80 per yard = $611,540
As a result, the annual materials budget is $611,540.
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Use geometry to evaluate
Answers
Refer to the images attached. Now I am guessing when it says "use geometry" was to graph it? I wasn't completely sure. I attached how I would normally evaluate that problem and a graph of the piecewise function. It has been a while since I have dealt with integrating piecewise function, please let me know what process you were supposed to use if you figure it out. Hope this helps you a bit, have a good one!
Which triangle side lengths form a right triangle? Choose all that apply.
➪ 5, 6, 7
➪ 6, 8, 14
➪ 8, 15, 17
➪ 10, 12 15
➪ 15, 20, 15
➪ 16, 18, 20
Answers
Your answer would be C (8,15,17) and E (15,20,15) or is it 25?
Step-by-step explanation:
:)
Divide x cubed minus 3 x squared minus 10 x + 24 by x minus 2. Step 1 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is k. k = Step 2 - Fill in the missing number: A vertical line and horizontal line combine to make a L shape. There is one row of entries in the shape including 1, negative 3, negative 10, 24. On the outside to the left of the L shape is 2 and to the outside below 1 is a. a = ⇒ 1 Step 3 - Fill in the missing numbers: A vertical line and horizontal line combine to make a L shape. There are two rows of entries in the shape. The first row includes 1, negative 3, negative 10, 24. The second row includes blank, b, d, blank. On the outside to the left of the L shape beside row 1 is 2. On the outside below the L shape in the first column is 1 and in the second column is c. b = c = d =
Answers
The dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.
How to depict the dividend?From the information, given that the vertical line and a horizontal lines combined to form the L shape.
Row 1 has entries 2, 10, 1, 5.
Row 2 has entries -10, 0, -5.
In this situation, entry -5 is outside to the let of the shape.
Here, the dividend that's represented by the synthetic division is 2x³ + 10x² + x + 5.
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Answer:
step 1: 2 Step 2: 1
Step-by-step explanation:
Step 3: 2, -1, -2
Complete the division. The remainder is 0. The quotient is x^2 - x - 12.
Dora opens a savings account and puts in $ 290 at the start. Every week, she deposits $ 30 in the account. Which type of function would you use to model the relationship between the number of weeks since Dora opened the account, and the amount of money in the account
Answers
Answer:
f(x)=290+30x
Step-by-step explanation:
the 290 is for the money initially put in, the 30 is for the thirty dollars, and the x represents the number of weeks.
y varies inversely with x. If y = 5 when x = 60, find y when x = 150
Answers
Answer:
y =2 when x = 150
Step-by-step explanation:
Inverse variation is
xy = k
5*60 = k
300 = k
xy = 300
150y = 300
Divide by 150
150y/150 = 300/150
y = 2
Which of the following shows the correct solution steps and solution to 2×+ 7 = -11?
Answers
Answer:
x = - 9
Step-by-step explanation:
2x + 7 = - 11 ( subtract 7 from both sides )
2x = - 18 ( divide both sides by 2 )
x = - 9
The answer is:
x = -9
Work/explanation:
The point of equations is to find the variable's value by isolating it step-by-step.
For this equation, the variable is x.
To isolate it, I will perform a few operations.
First, I will subtract 7 from each side:
\(\sf{2x+7=-11}\)
\(\sf{2x=-11-7}\)
\(\sf{2x=-18}\)
Divide each side by 2
\(\sf{x=-9}\)
Hence, x = -9.
\(\rule{350}{4}\)
Question #4 Want to make sure my work is correct and need help solving (d)
Answers
Old value=$8210.40
New value=$4500
\(\begin{gathered} i)\text{ Absolute change=|New value -Old value}| \\ \text{Absolute change=}|4500-8210.40| \\ Absolute\text{ change=|-3710.4|} \\ \text{Absolute value=\$3710.4} \end{gathered}\)\(\begin{gathered} ii)\text{ Relative change=}\frac{|New\text{ value-Old value}|}{\text{Old value}}\times100 \\ R\mathrm{}C=\frac{|4500-8210.40|}{8210.40}\times100 \\ R\mathrm{}C=\frac{|-3710.4|}{8210.40}\times100 \\ R\mathrm{}C=\frac{3710.4}{8210.40}\times100 \\ R\mathrm{}C=0.4519\times100 \\ R\mathrm{}C=45.19 \end{gathered}\)\(iii)\text{ The value of the copier has decreased by 45.19\%}\)\(\begin{gathered} iv)\text{ }x\text{\% of \$8210.40 = \$4500} \\ \frac{x}{100}\times8210.40=4500 \\ x=\frac{4500\times100}{8210.40} \\ x=54.81\text{\%} \end{gathered}\)Hence, the current value of the copier is 54.8% of its purchase price.
Birth weights in the United States are normally distributed with a mean of 3420g and a standard deviation of 495g. Find the percentage for babies with birth weight between 2450g and 3420g
can someone help it is a test
Answers
Answer:
i found a guy that answers random questions just for obtaining the points and i hate this type of guys
Step-by-step explanation:
An urn contains 5 are red balls and 6 blue balls. Suppose 5 are randomly selected without replacement. What is the probability that exactly 3 are red? Answer correct to four decimal places.
Answers
Answer:
27.94%
Step-by-step explanation:
The statement tells us that we have 5 red balls and 6 blue balls, that is, there are 11 in total (5 + 6)
So the probability of red balls = 5/11 and blue balls probability = 6/11
Let X be the number of red balls of those 5 selected balls.
Then X follows a binomial distribution with the following parameters:
n = 5
p = 5/11
q = 6/11
P (X) = nCx * p ^ (x) * q ^ (n -x)
required probability is P (X = 3), replacing:
P (X = 3) = 5C3 * (5/11) ^ (3) * (6/11) ^ (5 -3)
P (X = 3) = 5! / (3! (5-3)!) * 0.02794
P (X = 3) = 10 * 0.02794
P (X = 3) = 0.2794
Which means that the probability is 27.94%
What is the area of the trapezoid?
34 square units
42 square units
84 square units
118 square units
Answers
Answer:
42 Units :)
Step-by-step explanation:
Answer:
B.42 on EDGE2022
Step-by-step explanation:
18 = 3 • y helppppppppppppppp
Answers
Answer:y=6 3*6=18
Step-by-step explanation:+ 6 IS Correct