The table shows the number of games a chess player won in professional competitions, based on the number of games played. games played (x) 10 15 20 25 30 games won (y) 4 10 16 21 25 the line of best fit for the situation is . if the chess player plays 40 games in the next competition, the expected number of games won would be approximately .
Answers
the expected number of games won when the player plays 40 games would be approximately 29.
To find the line of best fit for the given data, we can use linear regression. Let's calculate the equation of the line and then estimate the number of games won when the player plays 40 games.
Using the given data:
games played (x): 10, 15, 20, 25, 30
games won (y): 4, 10, 16, 21, 25
Calculating the slope (m) and y-intercept (b) of the line using linear regression:
m = (nΣxy - ΣxΣy) / (nΣx^2 - (Σx)^2)
b = (Σy - mΣx) / n
where n is the number of data points, Σxy is the sum of the product of x and y values, Σx is the sum of x values, and Σy is the sum of y values.
Using the given data:
n = 5
Σx = 10 + 15 + 20 + 25 + 30 = 100
Σy = 4 + 10 + 16 + 21 + 25 = 76
Σxy = (10 * 4) + (15 * 10) + (20 * 16) + (25 * 21) + (30 * 25) = 2240
Σx^2 = (10^2) + (15^2) + (20^2) + (25^2) + (30^2) = 2275
Calculating the slope (m):
m = (5 * 2240 - 100 * 76) / (5 * 2275 - 100^2)
m = 0.761
Calculating the y-intercept (b):
b = (76 - 0.761 * 100) / 5
b = -3.238
The equation of the line of best fit is y = 0.761x - 3.238.
To estimate the expected number of games won when the player plays 40 games, we substitute x = 40 into the equation:
y = 0.761 * 40 - 3.238
y ≈ 29.032
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Related Questions
Jose is using 12 brown tiles and eight white tiles to design a section of the outdoor patio which ratio compares the number of Roundhouse, the total number of towels in one section
Answers
The ratio of brown tiles to total tiles is 12 : 20, Thus, option c is correct.
What is ratio and proportion?When cοmparing twο quantities οf the same kind, ratiο is utilised.
Fοr twο numbers, a and b, the ratiο fοrmula is written as a: b οr a/b.
Twο οr mοre ratiοs are said tο be in prοpοrtiοn if they are all equal. Fractiοns are the fοundatiοn οf the cοncepts οf ratiο and prοpοrtiοn.
The fundamental building blοcks οf numerοus οther mathematical nοtiοns are ratiο and prοpοrtiοn.
In many everyday situatiοns, such as when cοmparing heights, weights, distances, οr times, οr when adding cοmpοnents tο a recipe, ratiο and prοpοrtiοn can be used tο help us sοlve οur difficulties.
A ratiο is a cοmparisοn between twο amοunts that is calculated by dividing οne amοunt by the οther.
Number of brown tiles = 12
Total number of tiles = 12 + 8
= 20
The ratio forms is 12 : 20, Thus, option c is correct.
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Not sure what the radius is or what the answer is, help would be appreciated.
Answers
Step-by-step explanation:
According to angles of intersecting chords theorem ( angle S is also 117):
117 = 1/2 (208 + 2x-4)
so x = 15
then 2x-4 = 26 degrees
Question 6 of 10
What sentence represents the number of points in the problem below?
A test is worth 80 points. Multiple-choice questions are worth 2 points, and
short-answer questions are worth 4 points. If the test has 25 questions, how
many multiple-choice questions are there?
OA. The number of multiple-choice question points plus the number of
short-answer question points is 80.
B. The number of multiple-choice question points plus the number of
short-answer question points is 25.
OC. The number of multiple-choice question points minus the number
of short-answer question points is 25.
D. The number of multiple-choice question points times the number
of short-answer question points is 80.
APEX
Answers
The number of multiple-choice question points plus the number of short-answer question points is 80. Therefore, the correct answer is option A.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Given that, multiple-choice questions are worth 2 points, and short-answer questions are worth 4 points.
Let the number of 2 points questions be x and the number of 4 points questions be y.
A test is worth 80 points.
2x+4y=80 -------(I)
The test has 25 questions.
x+y=25 -------(II)
Therefore, option A is the correct answer.
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How to convert nm to cm
Answers
of the 180 students in a college course, I of the students earned an A for the course, ſ of the students earned a B for the course, and the rest of the students
earned a C for the course. How many of the students earned a C for the course?
A
75
Answers
Answer:
179
Step-by-step explanation:
180- 2=189 this is because 2 of the students the 180 received a or b
The given question is incorrect. The correct question is:
Of the 180 students in a college course, 1/4 of the students earned an A for the course, 1/3 of the students earned a B for the course, and the rest of the students earned a C for the course. How many of the students earned a C for the course?
A. 75
B. 90
C. 105
D. 120
E. 135
The number of students who earned a C for the course can be represented by the fraction of 5/12 of the total number of students and is equal to 75. Hence, option A is the right choice.
What do we mean by a fraction?A fraction in general means a part of. We represent a part of the whole using fractions. The total number of parts is taken as the denominator, while the parts used are taken as the numerator.
Fraction = Numerator/Denominator.
How do we solve the given question?We are given that there are 180 students in a college course. 1/4 of them get an A for the course while 1/3 get a B. Rest of the students to get a C for the course.
We need to find the number of students who get a C.
Let the fraction of students getting a C be x.
We know that a whole fraction is always = 1.
∴ Fraction of students getting an A + Fraction of students getting a B + Fraction of students getting a C = Whole fraction.
or, 1/4 + 1/3 + x = 1
or, x = 1 - 1/4 - 1/3 = (12 - 3 - 4)/12 = 5/12
∴ 5/12 of the students get a C for the course.
Number of Students who get a C for the course = 5/12 of 180 = 5*15 = 75.
∴ The number of students who earned a C for the course can be represented by the fraction of 5/12 of the total number of students and is equal to 75. Hence, option A is the right choice.
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For a data set of the pulse rates for a sample of adult females, the lowest pulse rate is 37 beats per minute, the mean of the listed pulse rates is x=71.0 beats per minute, and their standard deviation is s=18.2 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 37 beats per minute significant?
Answers
Answer:
See below.
Step-by-step explanation:
(a) Difference = 71 - 37 = 34 beats/minute.
(b) Number of standard deviations = 34 /18.2 = 1.868.
(c) z score = (x - m )/ s where m = mean and s = standard deviation
= (37 - 71) / 18.2 = -1.868.
(d) This z score lies between -2 and 2 so a pulse rate of 37 is not significant.
Mr. Porter's private plane takes 1 1/2 hours to travel from Greenlawn to Richville and back. How many trips can he make in 7 1/2 hours?
Answers
Answer:
She can make 5 trips.
Step-by-step explanation:
Which of the following is an example of quantitative data?A. North America is moving across Earth's surface several centimeters per yearB. the river has flooded a low-lying areaC. the volcano is releasing much steamD. volcanoes are dangerousE. when held, one rock feels heavier than another rock
Answers
The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year
Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.
Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.
B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.
C. The volcano is releasing much steam describes a qualitative observation of steam release.
D. Volcanoes are dangerous makes a general statement without providing specific numerical information.
E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.
Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.
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Select the mean, median, mode and range for the following list of values.
13,18,13,14,13,16,14,21,1313,18,13,14,13,16,14,21,1313,18,13,14,13,16,14,21,13
Answers
Answer:
Mean - 119.16
Median - 14
Mode - 13
Step-by-step explanation:
calculator
assuming that all else remains constant, what happens to a confidence interval around the mean if we raise the sample size from 25 to 100?
Answers
Assuming all else remains constant, increasing the sample size from 25 to 100 will generally result in a narrower confidence interval around the mean. increasing the sample size generally leads to a more precise estimate of the population mean, resulting in a narrower confidence interval around the mean.
This can be since the standard blunder of the cruel, which measures the changeability of the test cruel around the populace cruel, diminishes as the test estimate increments. As the standard blunder diminishes, the edge of the blunder (which is based on the standard mistake and the chosen certainty level) diminishes, coming about in a smaller certainty interim.
The relationship between the test measure and the width of the certainty interim is contrarily corresponding. This implies that as the test measure increments, the width of the certainty interim diminishes, and as the test measure diminishes, the width of the certainty interim increments.
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Factor out the GCF from the following polynomials.
1) 45m^5-25m^4-20m^2-35m=? 2) 35x^2-15x^3+5x^4=? 3) 6ab^6-14a^2b^4+2a^5b^3=?
Answers
Answer:
Step-by-step explanation:
i hope
the the answer is 2ab3(a4+3b3−7ab)
hope it helps.
sorry if it wrong
-Delilah
What is 27 divided by 6.75
Answers
Answer:
4
Step-by-step explanation:
The graph of a function is shown:
scatter plot of the points negative 5, 4 and negative 2, negative 1 and negative 1, 3 and 4, negative 3
Which of the following correctly identifies the set of outputs?
{–3, –1, 3, 4}
{–5, –2, –1, 4}
{(–5, 4), (–2, –1), (–1, 3), (4, –3)}
{(4, –5), (–1, –2), (3, –1), (4, –3)}
Answers
Answer:
The correct option is:
\(\left\{\left(-5,\:4\right),\:\left(-2,\:-1\right),\:\left(-1,\:3\right),\:\left(4,\:-3\right)\right\}\)
Step-by-step explanation:
There are 4 points that have been scattered on the coordinate plane.
It is clear from the coordinate plane, that those points are located as explained below.
at x=-5, y=4
so the point (-5, 4) is on the coordinate plane.at x=-2, y=-1
so the point (-2, -1) is on the coordinate plane.at x=-1, y=3
so the point (-1, 3) is on the coordinate plane.at x=4, y=-3
so the point (4, -3) is on the coordinate plane.Therefore, the correct option is:
\(\left\{\left(-5,\:4\right),\:\left(-2,\:-1\right),\:\left(-1,\:3\right),\:\left(4,\:-3\right)\right\}\)
if 10% of a group of children are girls, what is the ratio of girls to boys
Answers
Answer:
9 boys to 1 girl
Step-by-step explanation:
Use polar coordinates to find the volume of the given solid.
Below the paraboloid z = 18 − 2x² − 2y² and above the xy-plane
Answers
V = π [(3(\(\sqrt{18/2}\))³/1) - (2(\(\sqrt{18/2}\))⁵/15)] - π [0]
Simplifying this expression will give us the final volume of the solid.
, we need to evaluate the triple integral:
V = ∫₀²π ∫₀ᵣ ∫(18 - 2r²) r dz dr dθ
Integrating with respect to z first, we have:
V = ∫₀²π ∫₀ᵣ (18 - 2r²) r dr dθ
Integrating the volume with respect to r, we get:
V = ∫₀²π [(9r² - 2/3r⁴)]ᵣ₀ dθ
Simplifying the expression inside the brackets and evaluating the integral, we have:
V = ∫₀²π (9r² - 2/3r⁴) dθ
V = π [(9/3)r³ - (2/15)r⁵]ᵣ₀
V = π [(3r³/1) - (2r⁵/15)]ᵣ₀
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1/3 of x is 14
Find x
Plz help
Answers
Answer:
\( \frac{1}{3} \times x = 14 \\ \\ x = 14 \times 3 \\ \\ { \underline{ \: \: x = 42 \: \: }}\)
The value of x in 1/3 of x is 14 will be 42.
Given,
1/3 of x is 14
Now,
Expression : 1/3 of x is 14
Rewriting the expression in the simplified form,
1/3 of x = 14
Now to get the value of x cross multiply,
x = 14 * 3
x = 42
The value of x is 42.
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I will give you 10B points plus mark someone again for the Brainliest if you get this right.
Answers
Answer:
C
Step-by-step explanation:
Option c gives the actual representation of the question
What is the value of x in the equation: 3x – 5x + 10 = 36
Answers
Answer:
-13
Step-by-step explanation:
3x-5x+10=35
-2x+10=36
-2x=36-10
-2x\-2=26\-2
x=-13
5. Draw the arrow diagram and the matrix representation for the following relation on the set (1, 2, 3, 4): R = { (1,3), (1,4), (2,1), (3,2), (3,4), (4,2)).
Answers
The relation R on the set (1, 2, 3, 4) can be represented by an arrow diagram and a matrix. The arrow diagram visually depicts the connections between the elements.
To represent the relation R on the set (1, 2, 3, 4) using an arrow diagram, we draw a directed arrow from each element in the set to the element it is related to. For example, we draw an arrow from 1 to 3 and 4, an arrow from 2 to 1, an arrow from 3 to 2 and 4, and an arrow from 4 to 2. The resulting arrow diagram shows the connections between the elements in the relation.
The matrix representation of a relation uses a table to show the presence or absence of connections between elements. For the relation R on the set (1, 2, 3, 4), we create a 4x4 matrix where the rows and columns correspond to the elements of the set. We fill in the matrix with 1s to indicate that there is a connection between the respective elements and 0s otherwise. In this case, the matrix would be:
| 0 0 1 1 |
| 1 0 0 0 |
| 0 1 0 1 |
| 0 1 0 0 |
In the matrix, a 1 in the i-th row and j-th column indicates that the element i is related to the element j. For example, the entry in the first row and third column is 1, indicating that 1 is related to 3.
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Write 18 cm as a percentage of 450 cm
Answers
Answer:
4 percent.
Step-by-step explanation:
(18/450) * 100
= 1800/450
= 180/45
= 4%.
Identify the following variable as either qualitative or quantitative and explain why.
The number of people on a jury
A. Quantitative because it consists of a count B. Qualitative because it is not a measurement or a count
Answers
A. The number of people on a jury is a quantitative variable because it consists of a count.
In the context of data analysis, variables can be classified as either qualitative or quantitative. Qualitative variables are categorical in nature and represent qualities or attributes that cannot be measured or expressed numerically. On the other hand, quantitative variables represent quantities or measurements that can be expressed in numerical form.
The number of people on a jury is a quantitative variable because it can be measured and expressed as a count. Each jury has a specific number of members, such as 12 individuals for a standard jury. This count allows for quantitative analysis and statistical operations to be performed on the variable. Therefore, the number of people on a jury falls under the category of a quantitative variable.
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HELP QUICK PLEASE!!!!
Answers
Answer:
41.8°, 138.2° and 401.8°
Step-by-step explanation:
Given the expression;
\(3sin^2x + 4sinx - 4 = 0\)
Let P = sinx
The expression becomes;
3P²+4P - 4 = 0
Factorize
3P²+6P-2P - 4 = 0
3P(P+2)-2(P+2) = 0
3P-2 = 0 and P+2 = 0
P = 2/3 and -2
When P = 2/3
sinx = 2/3
x = arcsin 2/3
x = arcsin 0.6667
x = 41.8 degrees
Also if P = -2
sinx = -2
x = arcsin (-2)
x will not exist in this case
To get other values of x
sin is positive in the second quadrant
x = 180 - 41.8
x = 138.2°
x = 360+41.8
x = 401.8°
Hence the values of x within the interval are 41.8°, 138.2° and 401.8°
What is g+g+g+g+g+g= as equivalent form? Can anyone help me with this
Answers
Answer:
g^6
Step-by-step explanation:
hope this helped
Help I’ll give brainlist
Answers
Answer:
The answer would be n= -6
Step-by-step explanation:
Subtract -15 minus -9 to get -6
Hope I helped!! :)
Sorry if it's wrong! :(
Pls mark brainlist!
Explanation: Hope this helps! ^^
TRUE / FALSE. in a free body diagram, a roller support is replaced by two reaction forces.
Answers
TRUE. In a free body diagram, a roller support is replaced by two reaction forces.
A roller support is a type of support that allows a structure to rotate or move along a surface without any resistance to translation. It provides support in the perpendicular direction to the surface, but allows movement in the parallel direction.
To represent a roller support in a free body diagram, two reaction forces are used. One force acts perpendicular to the surface and is known as the normal force. This force prevents the structure from sinking into the surface. The other force acts parallel to the surface and is known as the frictional force. This force prevents the structure from sliding along the surface.
By including these two reaction forces in the free body diagram, the roller support is accurately represented, taking into account the constraints it imposes on the structure.
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Simple question
please answer need asap
Answers
the answer is A. 1,073 ft
the length of a rectangle is 1 yd more than twice the width, and the area of the rectangle is 45 yd2. find the dimensions of the rectangle. length : yd width : yd
Answers
On solving the provided question, we can say that in rectangle W = 4.5 yd since we are unable to have a negative length. L = 2W + 1 = 10 yd
What is rectangle?A rectangle in Euclidean plane geometry is a quadrilateral with four right angles. You might also describe it as follows: a quadrilateral that is equiangular, which indicates that all of its angles are equal. The parallelogram might also have a straight angle. Squares are rectangles with four equally sized sides. A quadrilateral of the shape of a rectangle has four 90-degree vertices and equal parallel sides. As a result, it is sometimes referred to as an equirectangular rectangle. Because its opposite sides are equal and parallel, a rectangle is also known as a parallelogram.
length rectangle is 1 yd more than twice the width: L = 2*W + 1
e area of the rectangle
\(45 = L*W\\45 = (2W + 1)*W\\45 = 2W2 + W\\0 = 2W2 + W - 45\\\)
Factors
x\((2W-9)(W+5)\\W = 4.5 and -5\)
W = 4.5 yd since we are unable to have a negative length. L = 2W + 1 = 10 yd
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mrs. finn made a scatter plot to show the relationship between the number of absences and a student's final exam score. based on this scatter plot, a student with 6 absences should get approximately what score on the final exam?
Answers
The point closest to the vertical line drawn from the 6 absences value on the x-axis is on a little above 70 on the y-axis. Therefore, the final exam score should be approximately 70.
Scatter plot Scatter plot is a graph in which the values of two variables are plotted along two axes.
The pattern of the resulting points reveals any relationship present between the two variables.
It helps us to see if one variable does relate to the other.
Mrs. Finn made a scatter plot to show the relationship between the number of absences and a student's final exam score.
Based on this scatter plot, a student with 6 absences should get approximately what score on the final exam:
Looking at the scatter plot, it is observed that the number of absences is on the x-axis and the final exam score is on the y-axis.
We are asked to determine the final exam score for a student with 6 absences.
We follow the x-axis to 6 absences and draw a vertical line until we reach the point on the scatter plot.
We then follow the y-axis to find the final exam score.
The approximate final exam score for a student with 6 absences is around 70.
For similar question on vertical line.
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please help, i will mark you branniest :))
solve for k
3/k = 4/5
Answers
Answer:
3/k = 4/5
k = 3 divided by 4/5
k = 3.75
Step-by-step explanation:
please help!!
In a survey, 90% of dentists recommended sugarless gum for their patients who chew gum. If the total number of dentists surveyed was 80, how many dentists recommended chewing sugarless gum?
(Hint: What is 90% of 80?)
Answers
Answer:
72
Step-by-step explanation:
80x.90= 72
Answer:
72 is your answer
Step-by-step explanation: