A scatterplot is often used to display data from a correlational observation. Therefore option C. a correlational observation is correct.
A scatterplot is a graph used to determine whether there is a correlation or association between two variables. Scatterplots are a graphical representation of data that display the data as a collection of points that are not linked.
In research, scatterplots can be utilized to show the data from a correlational observation. Scatterplots are helpful for visualizing the direction, strength, and shape of relationships among two variables.
A correlational observation, also known as a correlational study or correlational research, is a type of study that investigates the relationship between variables in order to establish correlation.
This technique compares two variables to determine if there is a linear relationship between them.
So, option C is correct choice.
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The ratio 1:2:3 is equal to 360 what is the smallest digit number
let the ratio be given by x : 2x : 3x.
[tex]\longrightarrow \: x + 2x + 3x = 360[/tex]
[tex]\longrightarrow \: 6x = 360[/tex]
[tex]\longrightarrow \: x = \frac{360}{6} [/tex]
[tex]\longrightarrow \: x = 60[/tex]
The smallest no. is 60.
ABCD is a parallelogram with diagnols intersecting at E. If AE = 3x + 12 and EC = 27, find the value of x.
Answer:
5
Step-by-step explanation:
Sketch the diagram
AE is equal to the other half of the diagonal EC
3x + 12 = 27
Subtact 12 from both sides
3x = 15
Divide both sides by 3
X = 5
On the coordinate plane shown, what is the distance from point Y to point Z? Round your answer to the nearest hundredth. On a coordinate plane, point X is (negative 5, 3), Y (3, 2), Z (negative 1, negative 4).
= 7.211102550928
The distance is 7.21 units.
The graph shows point F located at (0, 3) and line d given by the equation y = -2.
Which point is equidistant from F and d?
(0,1)
(3,0)
(-3,5)
(-5,3)
The answer is (-5,3), since both Point F and Line D are 5 units away from point (-5,3).
Suppose a 3 x 7 coefficient matrix for a system has three pivot columns. Is the system consistent? Why or why not?
Yes, the system is consistent. This is because the number of pivot columns (3) is equal to the number of unknowns in the system (3).
This means that the system has a unique solution that can be determined by performing Gaussian Elimination or other linear algebra techniques.
Determine the coefficient matrix for a systemIf the coefficient matrix for a system has n columns, and there are only n pivots, then the system is consistent because every equation has a pivot column.
In this case, the matrix has three pivot columns, therefore the system is consistent because each equation has a pivot column.
Therefore, the system is consistent.
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Solve for x.
3
x = 8/125
Answer:
Divide each term in the problem by 3 and simplify.
Step-by-step explanation:
Exact Form: [tex]x= \frac{8}{375}[/tex]
Decimal Form: [tex]x= 0.0213[/tex]
Hope this helps!
Trevor cut off 1/7 of his paper. He gave 5/6 of what he cut to his classmate. What fraction of his paper did Trevor give to his classmate?
The fraction that he gave 5/42 of his paper to the classmate.
What fraction of his paper did Trevor give to his classmate?We know that Trevor cut off 1/7 of his paper. And we know that he gave 5/6 of that piece to a friend.
To find the of his paper did Trevor give to his classmate, we just need to take the product between the two fractions above.
Remember that to get the product, we take the products between the numerators and between the denominators.
(1/7)*(5/6) = 5/(7*6) = 5/42
Trevor gave 5/42 of his paper to the classmate.
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I WILL MAKE U BRAINLIST!
Answer this and show all steps and then I will make you brainlist if correct!
Answer:
11x - 5y
Step-by-step explanation:
group 1 : 5x + 6x = 11x
group 2 : -2y -3y = -5y
starting with x terms
11x - 5y
Tom took 45 minutes to run 10km, ric took 1 hour 2 minutes to run 14 km
Ric was slightly faster than Tom with a speed of 13.54 km/h compared to Tom's speed of 13.33 km/h.
The speed of an object, also known as v in kinematics, is the size of the change in that object's position over time or the size of the change in that object's position per unit of time, making it a scalar number.
To calculate the speed of Tom and Ric, we can use the formula:
Speed = Distance / Time
For Tom:
Speed = 10 km / (45 minutes / 60 minutes per hour) = 13.33 km/h
For Ric, first translate 1 hour and 2 minutes into hours as follows:
1 hour 2 minutes = 1.0333 hours (since 1 minute is 1/60 of an hour)
Speed = 14 km / 1.0333 hours = 13.54 km/h
So, with a speed of 13.54 km/h as opposed to Tom's 13.33 km/h, Ric was just a little bit quicker than Tom.
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Oposite of -(-(-3)))
Answer:
3
Step-by-step explanation:
-(-(-3)) = -(3)
= -3
Now the opposite of a negative number is positive. Therefore, 3 will be the correct answer.
you roll three dice, one after another. what is the probability that you obtain three numbers in a strictly increasing order?
Answer: 1/6
Step-by-step explanation:
It's right (I think)
Which statement best explains whether the following graph represents a linear or nonlinear function?
O The graph represents a nonlinear function because there is a constant rate of change.
The graph represents a nonlinear function because the rate of change is not constant.
O The graph represents a linear function because there is a constant rate of change.
O The graph represents a linear function because the rate of change is not constant.
Answer:
The graph represents a linear function because there is a constant rate of change.
Step-by-step explanation:
Linear functions have constant rate of change,
For any two points (x1, y1) and (x1, y2), rate of change remains constant, it also represents a straight line.
We know this constant as the slope of line passing through these points
[tex]\dfrac{y_2 - y_1}{x_2 - x_1} = m[/tex]
Therefore, we can say that The graph represents a linear function because there is a constant rate of change.
Hopefully this answer helped you!!
A gry is an old English measure for length, defined as 1/10 of a line, where line is another old Endlish measure for length, defined as 1/12 inch. A common measure for length in the publishing business is a point, defined as 1/72 inch.What is an area of 0.50 gry 2 in points squared(points 2)?
The area of 0.50 gry2 in points squared is equal to (1/120 of an inch)2 multiplied by 0.50. That is, the area of 0.50 gry2 in points squared is equal to (1/120)2 * 0.50, which is equal to 0.00125 points2.
To explain further, when converting from one unit of measure to another, it is necessary to first determine the conversion factor between the two units. In this case, the conversion factor between a gry and a point is 1/120. To convert from gry2 to points2, the formula is:
Points2 = (1/120)2 * gry2
This means that to convert an area of 0.50 gry2 to points2, you must first calculate (1/120)2, which is equal to 0.0000027777777777778. Then, you must multiply this number by 0.50 (the area of 0.50 gry2), which is equal to 0.00125 points2. In conclusion, the area of 0.50 gry2 in points squared is equal to 0.00125 points2.
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A ray of light moving parallel to the x-axis gets reflected from a parabolic mirror whose equation is (y−2)2=4(x+1). After reflection, the ray must pass through the point
A. (0,2)
B. (2,0)
C. (0,−2)
D. (−1,2)
The ray of light will be reflected off the parabolic mirror, according to the equation (y−2)2=4(x+1).
The equation of a parabola in standard form is given by y = a(x-h)² + k, where (h, k) represents the vertex of the parabola, and "a" determines the orientation and size of the parabola.
In the given equation, (y-2)² = 4(x+1), we can see that the vertex of the parabola is at the point (-1, 2), which is obtained by shifting the standard parabolic equation horizontally by 1 unit to the left and vertically by 2 units upward.
The coefficient "4" in the given equation determines the orientation and size of the parabola. Since "4" is positive, the parabola opens to the right.
The value of "4" also determines the focal length of the parabola, which is the distance between the vertex and the focus of the parabola. In this case, the focal length is 1/4 of the coefficient, which is 1 unit.
Now, let's consider how this equation relates to the reflection of a ray of light. A parabolic mirror is designed to reflect light rays in a specific way, such that all incoming parallel rays are reflected and converge to a single point called the focus of the parabola.
This property of a parabola is used in various applications, such as telescopes, satellite dishes, and headlights of vehicles.
In the given equation, (y-2)² = 4(x+1), the equation represents the shape of the parabolic mirror. When a ray of light intersects with this parabolic mirror, it will be reflected off the mirror surface according to the law of reflection, which states that the angle of incidence is equal to the angle of reflection with respect to the normal at the point of incidence.
The parabolic shape of the mirror ensures that the reflected rays converge to the focus of the parabola, which is at the point (-1, 2) in this case.
In summary, the given equation represents a parabolic mirror with a specific shape and focal length, and it describes how a ray of light will be reflected off the mirror surface according to the law of reflection.
Understanding the properties of the parabola represented by the equation can help in analyzing the behavior of light rays and predicting the reflection pattern in practical applications involving parabolic mirrors.
Since the light is moving parallel to the x-axis, it will reflect at a right angle, meaning that the reflected ray must pass through the point (2,0).
This is the answer to the question, so the correct answer is B. (2,0).
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5. For the three-part question that follows, provide your answer to each question in the given workspace.
Be sure to clearly label each part of your response as Part A, Part B, and Part C.
Part A: Solve for g: g-0.6 ≤ 3.172.
Part B: Explain what the graph of the inequality looks like.
Part C: In one paragraph, using your own words, explain your work in Parts A and B.
Answer: Your welcome!
Step-by-step explanation:
Part A: g ≤ 3.772
Part B: The graph of the inequality would be a simple line on a number line, starting from 0 and extending to the right, with a dotted line at x = 3.772.
Part C: In Part A, I solved the inequality to find g. By subtracting 0.6 from both sides of the equation, I was able to isolate g and solve for its value, which is g ≤ 3.772. In Part B, I explained that a graph of this inequality would be a simple line on a number line, starting from 0 and extending to the right, with a dotted line at x = 3.772. This would indicate that all values of g that are less than or equal to 3.772 are valid solutions to the inequality.
Thanks! :) #BO
create your own system of 2 linear equations in two variables x, y, which form parallel lines (so have no solution), and explain what happens when you row reduce it.
The system of 2 linear equations in two variables x, y, which form parallel lines are 2x + 3y = 7 and 2x + 3y = 10, the row reduction process has revealed that the system is inconsistent, and there is no common solution to the equations.
To create a system of parallel lines, we can take two linear equations with the same slope but different y-intercepts. For example, let's take the following two equations:
2x + 3y = 7
2x + 3y = 10
Both equations have the same slope of -2/3 but different y-intercepts. To visualize this, we can rewrite the equations in slope-intercept form:
y = (-2/3)x + 7/3
y = (-2/3)x + 10/3
These equations represent lines with the same slope but different y-intercepts, and they are parallel.
To row reduce the system, we can represent the equations in an augmented matrix form:
[2 3 | 7]
[2 3 | 10]
To row reduce, we can subtract the first row from the second row, as shown below:
[2 3 | 7]
[0 0 | 3]
The resulting system represents a line with no solution, as 0x + 0y = 3 is a contradiction.
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Refer to the first network in the above problem. a. What is P(Te <23)? b. What is P(Te <32)? c. For what T, is the probability 95 percent that the project will be completed?
a) P(te < 23) = 0 and (b) P(te < 32) = 4.02 and The probability of 95% that the project will be completed is 16 days.
The probability of an event is a number that indicates the probability of the event occurring. Expressed as a number between 0 and 1 or as a percent sign between 0% and 100%. The more likely an event is to occur, the greater its probability. The probability of an impossible event is 0; the probability of a certain event occurring is 1. The probabilities of two complementary events A and B - either A occurring or B occurring - add up to 1.
According to the Question:
Value of probability 95% = 3
Z = Tₐ-Tₙ/σ
⇒ 3 = Tₐ - 10/2
⇒ Tₐ = 16 days.
Therefore, the probability 95 percent that the project will be completed is 16 days.
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Viola drives 180 m up a hill that makes an angle of 10° with the horizontal. Rounded to the nearest tenth of a meter, what horizontal distance has she covered?
The horizontal distance travelled by Viola is roughly 1023.3 metres, rounded to the closest tenth of a metre.
Let's use mathematics to find a solution to this issue. We can take advantage of the fact that the ratio of an angle's opposite side (in this case, the hill's height) to its neighbouring side is known as the tangent (the horizontal distance covered).
Let x represent the length Viola travelled horizontally. Then, there is:
tan(10°) = opposite/adjacent
tan(10°) = 180/x
By Multiplying on both sides with the x, we get:
x*tan(10°) = 180
By Dividing the both sides with tan(10°), we get:
x = 180/tan(10°) = 1023.3
The horizontal distance travelled by Viola is roughly 1023.3 metres, rounded to the closest tenth of a metre.
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The function is defined by the following rule.
f(x)=2x-5
Complete the function table.
-S
0
1
4
5
X
0
0
0
0
0
5
The given function rule is:
f(x) = 2x - 5. Therefore, the finished function table will end at 5.
How to finish the function table?We must assess the function f(x) for each value of x given in order to finish the function table:
For x = -3:
f(-3) = 2(-3) - 5 = -6 - 5 = -11
For x = 0:
f(0) = 2(0) - 5 = -5
For x = 1:
f(1) = 2(1) - 5 = -3
For x = 4:
f(4) = 2(4) - 5 = 3
For x = 5:
f(5) = 2(5) - 5 = 5
The finished function table is as follows:
x f(x)
-3 -11
0 -5
1 -3
4 3
5 5
ending at variable 5.
The function rule that is provided is:
f(x) = 2x - 5
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a straight one-mile stretch of highway, 40 feet wide, is closed. robert rides his bike on a path composed of semicircles as shown. if he rides at 5 miles per hour, how many hours will it take to cover the one-mile stretch?
A. π/11
B. π/10
C.π/5
D. 2π/5
E.2π/3
Number of hours will it take to cover the one-mile stretch is option (A) π/11
To find the time it takes for Robert to cover the one-mile stretch, we need to find the total distance he travels on the semicircles
Each semicircle has a radius of 20 feet (half the width of the highway). The circumference of a semicircle is half that of a full circle, so the distance Robert travels on each semicircle is
π × 20 = 20π feet
Since Robert rides on four semicircles, the total distance he travels is:
4 × 20π = 80π feet
To convert this to miles, we divide by the number of feet in a mile
80π / 5280 = π / 66 miles
Finally, we can use the formula:
distance = rate × time
to solve for the time it takes Robert to cover the one-mile stretch:
π / 66 = 5t
where t is the time in hours. Solving for t, we get:
t = π / 11
Therefore, the correct option is (A) π / 11
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arrange these functions under the o notation using only = (equivalent) or ⊂ (strict subset of): a) 2logn b) 23n c) nn logn d) logn e) nlog(n2) f) nn² g) log(log(nn))
Logn 2logn nlog(n2) nn logn nn2 23n log(log(nn)) is the proper arrangement of the functions under the O notation using just (equivalent) or (strict subset of).
The O notation is used to classify functions according to their growth rates. It is a way of measuring the complexity of an algorithm. The functions are arranged in ascending order of growth rates, with the slowest growing function at the beginning and the fastest growing function at the end.
The function logn has the slowest growth rate, followed by 2logn, which is a constant multiple of logn. The function nlog(n2) has a higher growth rate than 2logn, but is still slower than nn logn. The function nn² has a higher growth rate than nn logn, but is still slower than 23n. The function log(log(nn)) has the highest growth rate of all the functions.
Therefore, the correct arrangement of the functions under the O notation is: logn ⊂ 2logn ⊂ nlog(n2) ⊂ nn logn ⊂ nn² ⊂ 23n ⊂log(log(nn)).
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The driving distance between buffalo NY, and Rochester, NY, is 117,456 kilometers. What is this distance rounded to the nearest tenth?
Step-by-step explanation:
I'm sorry, but the driving distance between Buffalo, NY, and Rochester, NY, is not 117,456 kilometers. In fact, it is approximately 112 kilometers (69.5 miles) via the New York State Thruway (I-90).
To round this distance to the nearest tenth, we would round to one decimal place, which gives us:
112 kilometers rounded to the nearest tenth = 112.0 kilometers.
Adding which of the following ordered pairs to the set {(0, 1), (2, 4), (3, 5)} would make it not a function?
(4, 2)
(7, 0)
(1, 6)
(0, 7)
(0, 7) adding ordered pairs to the set {(0, 1), (2, 4), (3, 5)} would make it not a function.
A function is a relationship between a number of inputs and outputs. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. There is a range, codomain, and domain for every function. The graph is a function if any vertical line drawn can cross it at no more than one point. The graph is not a function if there is any location where a vertical line can cross it at two or more points. The relationship between the input or domain and the output or range is known as the function rule. A relation is a functional if and only if each subdomain value has a single value in the range.
Determine whether {(0, 1), (2, 4), (3, 5)} is a function.
True.
(0, 7) adding ordered pairs to the set {(0, 1), (2, 4), (3, 5)} .
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please help me (only correct answers)
Answer:
x > 3 or 3 < x < infinity
Step-by-step explanation:
Since the circle over 3 is "open" (not filled in), this means that the symbol we use for the inequality is simply "greater than" rather than "greater than/equal to".
Additionally, there is no point on the right side; it is an infinite arrow. This means that x is equivalent to anything above 3.
Therefore, x is greater than 3 is the correct inequality. Depending on the answer your teacher is looking for, however, it could also be 3 < x < infinity. this is because there is no visible end to the arrow.
*As I don't know what you're focusing on, I cannot tell you which answer your teacher is looking for. Base your answer off the form of the answers of the lesson you are focusing on.
MALM Dion has two bunches of similar bananas. One bunch has 8 bananas, and the other bunch has 9 bananas. The list below shows the weight, in grams, of each of the bananas in the bunch of 8. 138 118 121 164 140 115 129 123 Which measurement is most likely closest to the total weight of the bunch of 9 bananas? ( 932 grams 1,048 grams
A932grams
B 1,048
C 1,179
D 1,368
i need an answer asap
The answer is C, 1179 grams. To calculate the total weight of the bunch of 9 bananas, we need to find the average weight of the bunch of 8 bananas.
What is average weight?It is calculated by taking the sum of all the weights during the period, then dividing it by the number of weights recorded.
To calculate the total weight of the bunch of 9 bananas, we need to find the average weight of the bunch of 8 bananas.
To do this, we add the weights of each banana in the bunch
(138 + 118 + 121 + 164 + 140 + 115 + 129 + 123 = 1048)
and divide by the total number of bananas (8).
This gives us the average weight of the bunch of 8 bananas, 131 grams. Adding 131 grams to the weight of the 9th banana gives us
= 131+1048
= 1179
Total weight of 1179 grams, which is the closest to the given choices.
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Amy and Belle bought some apples.Each of them spent $40.Amy bought 10 more apples than Belle because she had used a coupon that gave her a 20% discount.
A:How many more apples did Amy get?
B:How much did Amy pay for each apple?
Belle bought 24 apples, and Amy bought 34 apples and Amy paid approximately $2.35 per apple.
How to solve the problem by using algebra ?Let x be the number of apples Belle bought.
Then, Amy bought 10 more apples than Belle, so Amy bought x + 10 apples.
Since each of them spent $40, we can write:
40 = cost of x apples for Belle
40 = cost of (x + 10) apples for Amy
We know that Amy used a coupon that gave her a 20% discount. This means that she paid 80% of the original price for her apples. We can write:
0.8 * (cost of (x + 10) apples for Amy) = cost of x apples for Belle
Now we can solve for x:
0.8 * (40 + 40) = 32 + 0.8 * 10 + 32
0.8 * 80 = 8 + 32 + x
64 = x + 40
x = 24
So Belle bought 24 apples, and Amy bought 34 apples (10 more than Belle)
To find the cost per apple for Amy, we can divide her total cost by the number of apples:
cost per apple for Amy = (40 + 40) / (x + 10) = 80/34
Therefore, Amy paid approximately $2.35 per apple.
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In a normally distributed data set with a mean of 35 and a standard deviation of 4.1, what percentage of the data would be between 30.9 and 39.1? Explain why.
In a normally distributed data set with a mean of 35 and a standard deviation of 4.1, the percentage of the data that would be between 30.9 and 39.1 is 68%. The reason why is that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean.
So first, we need to find the z-scores for 30.9 and 39.1:z-score for 30.9: (30.9 - 35) / 4.1 = -1.10z-score for 39.1: (39.1 - 35) / 4.1 = 1.10Then, we can use a standard normal distribution table or calculator to find the area between these two z-scores.
The area between -1.10 and 1.10 is approximately 0.68 or 68%. Therefore, approximately 68% of the data would be between 30.9 and 39.1 in a normally distributed data set with a mean of 35 and a standard deviation of 4.1.
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A salesperson’s ratio of successful signups to the number of people called is 0.125. This month, the salesperson has 25 signups. How many people did the salesperson call this month.
Answer:
Let's assume the number of people called is "x".
The ratio of successful signups to the number of people called is 0.125, which can also be written as 1/8. Therefore, the number of successful signups can be expressed as (1/8)x.
We know that the salesperson has 25 signups this month, so we can write the equation as:
(1/8)x = 25
To solve for x, we can multiply both sides by 8:
x = 200
Therefore, the salesperson called 200 people this month.
Let S be the triangle with vertices A = (2, 2, 2) , B = (4, 2, 1), and C = (2, 3, 1). Find the exact length of the shortest side of S. units (b) Find the exact value of the cosine of the angle BAC: COs(BAC)
The exact value of the cosine of the angle BAC is 1 / √10.
The length of the sides of a triangle can be found using the distance formula:
d = √[(x2 - x1)² + (y2 - y1)² + (z2 - z1)²]
To find the length of the side AB, we plug in the coordinates of A and B into the distance formula:
AB = √[(4 - 2)² + (2 - 2)² + (1 - 2)²] = √[4 + 0 + 1] = √5
Similarly, we can find the length of the other two sides:
BC = √[(2 - 4)² + (3 - 2)² + (1 - 1)²] = √[4 + 1 + 0] = √5
CA = √[(2 - 2)² + (3 - 2)² + (1 - 2)²] = √[0 + 1 + 1] = √2
The shortest side of the triangle S is CA, with a length of √2 units.
To find the cosine of the angle BAC, we can use the law of cosines:
cos(BAC) = (AB² + CA² - BC²) / (2 * AB * CA)
Plugging in the values we found for the lengths of the sides:
cos(BAC) = (√5² + √2² - √5²) / (2 * √5 * √2) = (5 + 2 - 5) / (2 * √10) = 2 / (2 * √10) = 1 / √10
Therefore, it can be stated that the precise value of the cosine of angle BAC is 1 /√10.
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Work out 30% of £70……………..
Answer: that would have been £21
Step-by-step explanation: have a good day
Answer:
21
Step-by-step explanation:
30% of 70 is 70% of 30
0% of 30 can be found by 30/10 which is 3
we need 70 percent, so 3*7 will get us 70%, which is 21
