Below are the jersey numbers of 11 players randomly selected from a football team. Find the range, variance, and standard deviation for the given sample data. What do the results telus? 58 80 36 52 06 22 23 40 66 64 54 Range -- (Round to one decimal place on nended) Sample standard deviation (Round to one decimal place as needed.) Sample variance (Round to one decimal place as needed.) What do the results tellus? O A Jersey numbers on a football team vary much more than expected
Answers
Given the sample data: 58, 80, 36, 52, 06, 22, 23, 40, 66, 64, and 54Range:The range is the difference between the maximum and minimum values in a dataset. Therefore, range = maximum value - minimum value Range = 80 - 6 = 74Thus, the range is 74.
Variance: Variance is the average of the squared differences from the mean. The formula for variance is: $s^2 = \frac{\sum(x-\bar{x})^2}{n-1}$Here, the sample size (n) is 11. So, we have:$\bar{x}=\frac{1}{n} \sum_{i=1}^{n} x_{i}$where $x_i$ represents the ith observation in the sample.
Thus,$\bar{x}=\frac{1}{11}(58 + 80 + 36 + 52 + 6 + 22 + 23 + 40 + 66 + 64 + 54)$$= \frac{461}{11}$$= 41.9091$Using the formula,$s^2 = \frac{(58-41.9091)^2 + (80-41.9091)^2 + (36-41.9091)^2 + (52-41.9091)^2 + (6-41.9091)^2 + (22-41.9091)^2 + (23-41.9091)^2 + (40-41.9091)^2 + (66-41.9091)^2 + (64-41.9091)^2 + (54-41.9091)^2}{11-1}$$= 821.553$Therefore, the variance is 821.553.
Sample Standard Deviation:
Standard deviation is the square root of variance. So, $s = \sqrt{s^2} = \sqrt{821.553}$$= 28.658$Therefore, the sample standard deviation is 28.658.The results suggest that the jersey numbers on a football team vary more than expected.
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Related Questions
1.If 9 pencils cost .45, what would 12 pencils cost?
Answers
Answer:
9 pencils = 0.45
12 pencils = 0.60
Brainiest plz :)
Answer:
$.60
Step-by-step explanation:
9=.45
.45/9=.05
.05x12=0.60
$.60
6th grade math, Please Help) 2 people pls answer so i can make brainliest! and you will get 20 points :)
Evaluate the Algebraic expression; j+2h= when f=6, g=8, h=12, j=2
OA) 14
OB)18
OC)26
OD)30
Answers
Answer:
the answer is 26
Step-by-step explanation:
j+2h
(2) + 2(12)
2 + 24
26
Humphrey measured the height of his fence at 6 feet 7 inches. How many inches tall is Humphrey's fence?
Answers
6 feet 7 inches
1 feet = 12 inches
6 feet = 6(12) = 72 inches
6 feet 7 inches = 72 + 7 = 79 inches
Answer:
79 inches
Consider removing the point (130, -35) and calculating a new least-squares regression line.
What effect(s) would removing this point have?
Answers
When a point is removed (i.e. \((130, -35)\)), both average and standard deviation are changed and a new least-squares line is created.
How removing a point may alter a least-squares regression line
Given a minimum and representative set of points in a Cartesian plane, there is a given average and a standard deviation, of which slope and intercept of the least-squares line are determined.
When a point is removed, both average and standard deviation are changed and a new least-squares line is created. \(\blacksquare\)
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-2 (x + 1/4) + 1 = 5 solve for x
Answers
Answer:
-9 would be your answer
to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X
Answers
The Answer:the answer is D
Step-by-step explanation:
plot four different points whose -coordinates are half their -coordinates. do these points lie on a line?
Answers
The four points with y-coordinates half their x-coordinates are (0,0), (2,1), (4,2), and (6,3). These points do lie on a line, as they all satisfy the linear equation y = x/2.
To plot four points whose y-coordinates are half their x-coordinates, we can choose any four values of x and then compute the corresponding values of y using the equation y = x/2. For example
If x = 0, then y = 0/2 = 0, so the first point is (0,0).
If x = 2, then y = 2/2 = 1, so the second point is (2,1).
If x = 4, then y = 4/2 = 2, so the third point is (4,2).
If x = 6, then y = 6/2 = 3, so the fourth point is (6,3).
We can plot these points on a coordinate plane
As we can see from the plot, the four points do lie on a straight line. This is because the equation y = x/2 is the equation of a linear function with slope 1/2 and y-intercept 0. Therefore, any two points on this line will have a constant slope between them, and thus the four points will be collinear.
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consider a general linear programming problem in standard form which is infeasible show the dual of the original problem is feasible and the optimal cost is infinite
Answers
As per duality theory, every original linear programming problem has an associated dual problem. The dual of the original linear programming problem is feasible and the optimal cost is infinite.
Let's consider a general linear programming problem in standard form that is infeasible. We aim to demonstrate that the dual of the original problem is feasible, and the optimal cost is infinite.
Linear programming (LP), or linear optimization, is a mathematical technique used to determine the optimal solution for a given mathematical model with linear relationships, typically involving maximizing profit or minimizing cost. LP falls under the broader category of optimization techniques.
As per duality theory, every original linear programming problem has an associated dual problem. Solving one problem provides information about the other problem, and vice versa. The dual problem is obtained by creating a new problem with one variable for each constraint in the original problem.
To show that the dual of the original problem is feasible and the optimal cost is infinite, we will follow these steps:
Derive the dual of the given linear programming problem.
Demonstrate the feasibility of the dual problem.
Establish that the optimal cost of the dual problem is infinite.
Step 1: Dual of the linear programming problem
The given problem is:
Minimize Z = c'x
subject to Ax = b, x >= 0
Here, x and c are column vectors of n variables, and A is an m x n matrix.
The dual problem for this is:
Maximize Z = b'y
subject to A'y <= c, y >= 0
In the dual problem, y is an m-dimensional column vector of dual variables.
Step 2: Feasibility of the dual problem
Since the primal problem is infeasible, it means that no feasible solution exists for it. Consequently, the primal problem has no optimal solution. By the principle of weak duality, the optimal solution of the dual problem must be less than or equal to the optimal solution of the primal problem. As the primal problem has no optimal solution, the dual problem must have an unbounded optimal solution. Therefore, the dual problem is feasible.
Step 3: The optimal cost of the dual problem is infinite
Since the primal problem has no optimal solution, the principle of weak duality states that the optimal solution of the dual problem must be less than or equal to the optimal solution of the primal problem. As the primal problem has no optimal solution, the dual problem must have an unbounded optimal solution. Consequently, the optimal cost of the dual problem is infinite.
In conclusion, we have shown that the dual of the original problem is feasible, and the optimal cost is infinite.
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people most often react favorably to four kinds of evidence which includes numerical data, examples, expert testimony IS :
Answers
True, people most often react favorably to four kinds of evidence which includes numerical data, examples, expert testimony.
Define the four kinds of evidence?Peοple οften react favοrably tο fοur kinds οf evidence, which include numerical data, examples, expert testimοny, and narratives. These types οf evidence prοvide different fοrms οf suppοrt and can be persuasive in different ways. Numerical data appeals tο the lοgical and analytical side οf individuals, while examples and narratives make the evidence mοre relatable and memοrable. Expert testimοny adds credibility and authοrity tο the argument. By presenting a cοmbinatiοn οf these types οf evidence, οne can increase the persuasive impact οf their message.
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Given the following LP model, which is the correct standard form? Max(Z)=2X1+X2 Restrictions / Constrains 11×1+3×2≥33
8×1+5×2≤40
7×1+10×2≤70
7×1+10×2≤70 X1,X2≥0 Use this problem's information to answer questions 19 to 21. a. Max(Z)=3×1+2X2
11×1+3×2−51≤33
8×1+5×2+52≥40
7×1+10×2+53≥70
b. Max(Z)=3×1+2×2 11×1+3×2+51=33 8×1+5×2−52=40 7×1+10×2−53=70
c. Max(Z)=3×1+2×2 11×1+3×2−51=33 8×1+5×2+52=40 7×1+10×2+53=70
d. Max(Z)=3×1+2×2 11X1+3×2+$1=33 8×1+5×2+52=40 7×1+10×2+53=70
Answers
The correct standard form for the given LP model is option C: Max(Z) = 3x1 + 2x2, subject to the constraints 11x1 + 3x2 - 5 <= 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70, with x1, x2 >= 0. This option aligns with the original objective function and constraints of the LP model.
To convert the LP model into standard form, we need to rewrite the constraints with the variables on the left-hand side and constants on the right-hand side, with inequality signs (<= or >=) consistent throughout. Additionally, we introduce slack or surplus variables to transform any non-standard constraints.
In option C, the constraints are correctly transformed as 11x1 + 3x2 - 5 = 33, 8x1 + 5x2 + 5 >= 40, and 7x1 + 10x2 + 5 >= 70. These constraints are consistent with the original model. The objective function remains the same, Max(Z) = 3x1 + 2x2.
Option A has incorrect signs in the transformed constraints, and option B introduces surplus variables (+5) instead of slack variables (-5), resulting in an incorrect standard form. Option D includes a non-standard term with a dollar sign, which is inconsistent with linear programming conventions.
Therefore, option C is the correct standard form, adhering to the original LP model's objective function and constraints.
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A prestigious program accepts 2 out of every 9 applicants per yer. If the program accepted 360 applicants, how many applicants were NOT accepted?
A.1260
B.1620
C.2520
D.3240
E.3600
Answers
if the sum of two number is 37 and the greater number exceeds the smaller by 5, find the numbers.
Answers
Answer:
21 and 16
Step-by-step explanation:
x= big number
x`-5 = small number
x + x-5 = 37
2x-5 =37
2x= 42
x = 21
21-5 = 16
21+16 = 37
Craig is considering four loans. loan l has a nominal rate of 8.254%, compounded daily. loan m has a nominal rate of 8.474%, compounded weekly. loan n has a nominal rate of 8.533%, compounded monthly. loan o has a nominal rate of 8.604%, compounded yearly. which of these loans will offer craig the best effective interest rate? a. loan l b. loan m c. loan n d. loan o please select the best answer from the choices provided a b c d
Answers
The effective interest rate of the loan would be
In this case, we are given 4 options:
Loan L has a nominal rate of 8.254% compounded dailyLoan M has a nominal rate of 8.474% compounded weeklyLoan N has a nominal rate of 8.533% compounded monthlyLoan O has a nominal rate of 8.604% compounded yearlyThe formula of compounded interest rate is:
\(A = P (1+\frac{r}{n})^{nt}\)
Where:
A = amount, P = principal amount, r = interest rate, n = number of times interest rate compounded, t = time
Let’s assume the principal amount is $100 for 1 year
Loan L =
\(A = 100 (1+\frac{0.08254}{356})^{356x1}\)
A = $108.603
Loan M =
\(A = 100 (1+\frac{0.08474}{52})^{52x1}\)
A = $108.834
Loan N =
\(A = 100 (1+\frac{0.08533}{12})^{12x1}\)
A = $108.875
Loan O =
\(A = 100 (1+\frac{0.08604}{1})^{1x1}\)
A = $108.604
Therefore, the best effective interest rate for Craig is Loan L with nominal rate of 8.254% compounded daily.
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The area of a rectangle is 8811m if the width of the garden is 89 m what’s the length
Answers
The length of the garden is 99 m.
What’s the length?The formula for the area of a rectangle is:
Area = Length x Width
We are given that the area of the rectangle is 8811 \(m^{2}\) and the width is 89 m. Substituting these values into the formula, we get:
8811 \(m^{2}\) = Length x 89 m
To solve for the length, we can divide both sides of the equation by 89 m:
Length = 8811 \(m^{2}\) / 89 m
Simplifying, we get:
Length = 99 m
Therefore, the length of the garden is 99 m.
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Marcelo deposits a check for the same amount each month. He adds 65% of this amount into an account for his older son and 35% of this amount into an account for his younger daughter. Last month, the bank accidentally added 65% of the check to his daughter’s account and 35% to his son’s account. What percentage of this month’s check should the bank add to his son’s account so that his son’s account has 65% of the overall amount deposited over this month and last month?
Answers
Answer: 65%-35%=30% and 30% is how much he needs :) hoped it helped unlike the other one
Step-by-step explanation: Marcelo older son has a 65% amount of money and his sister has 35%. One month Marcelo bank switch things around by accident so his sister has the 65% and the older son has 35%. How much % does Marcelo older son need to get his 65%.
95% percentage of this month’s check should the bank add to his son’s account so that his son’s account has 65% of the overall amount deposited over this month and last month.
What is percentage?A number or ratio which can be expressed as just a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The percentage therefore refers to a part per hundred. Per 100 is what the word percent means. The letter "%" stands for it. There is no dimension to percentages. As a result, it is known as a dimensionless number. When we say a number is 50% of something, we mean that it is 50% of everything.
As in 0.6%, 0.25%, etc., percentages can also be expressed as decimals or fractions. The grades earned in any subject have been calculated in terms of percentages in academics.
With the previous month mistake, son is in 30% loss and daughter is in 30% gain.
To overcome it next month, bank will add 30% more i.e. (65+30)% = 95%
Hence, 95% percentage of this month’s check should the bank add to his son’s account so that his son’s account has 65% of the overall amount deposited over this month and last month.
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URGENT: If a pack of five compasses sells for $3.95,
How much does one compass cost?
Answers
Answer:
0.79 dollars
Step-by-step explanation:
Divide 3.95 by five to find the cost of one compass.
If you take a number, times by 8 then add 6. You get the same as if you took the number, times by 3 then subtract 7. What is the number?
Answers
I don't say you have to mark my ans as brainliest but if it has really helped u plz don't forget to thank me....
3x - 2x + 1 = 8
How do I solve this
Answers
Answer:
x = 7
Step-by-step explanation:
3x - 2x + 1 = 8
x + 1 = 8
*subtract 1 from both sides
x = 7
Answer:
\(x=7\)
Step-by-step explanation:
Combina los términos semejantes
\(3x-2x+1=8\\x+1=8\)
Resta 1 de ambos lados de la ecuación
\(x+1-1=8-1\\\)
Simplifica y resta los números
\(x=7\)
why wont it let me say anything
Answers
Answer:
409
Step-by-step explanation:
786 + 32 = 818
818 ÷ 2 = 409
For homework Tina is asked to write down the opposite value for each number listed which comparison did Tina write incorrectly
Answers
In writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X
Recall:
Opposite values of a number are numbers that are of the same distance from point zero on a number line.For example, if a is a number, the opposite of a is -a. Or if -3 is a number, the opposite of -3 is 3 because -3 and 3 are both 3 units away from point zero on a number line.Thus, Tina's comparison is given in the diagram attached below.
The comparison labelled X is incorrect because -(-9) = 9. Opposite of 9 is -9.
Therefore, in writing down the opposite value of each number, the comparison Tina wrote incorrectly is: Comparison X
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18. The numbers below show the ages of the top 15 paid players for two different football teams:
NY Giants-32, 26. 21. 27, 26, 24, 31, 29, 32, 30, 24, 28, 31, 30, 29
NY Jets-26, 25, 28, 28, 29, 28, 32, 26, 26, 22, 28, 33, 23, 28, 32
Part A Compare the median, range and IQR for the two teams.
Answers
To compare the central tendency, spread, and variability of the two sets of data, we can find their median, range, and IQR.
For NY Giants:
Median: The middle value of the data set is 28.
Range: The difference between the maximum and minimum values is 11.
IQR: The difference between the first quartile (Q1) and the third quartile (Q3) is 4.
For NY Jets:
Median: The middle value of the data set is 28.
Range: The difference between the maximum and minimum values is 11.
IQR: The difference between the first quartile (Q1) and the third quartile (Q3) is 3.
Comparing the median, we can see that the two teams have the same middle value.
Comparing the range, we can see that the two teams have the same spread.
Comparing the IQR, we can see that the NY Giants have a slightly larger IQR than the NY Jets.
Therefore, we can conclude that the two teams have similar median and range, but the NY Giants have slightly greater variability in their ages.
find expressed as a function of t for the given the parametric equations: . (b) find expressed as a function of t. . (c) except for at the points where is undefined, is the curve concave up or concave down? (enter 'up' or 'down'). concave .
Answers
Without the specific parametric equations, it is not possible to find y or x expressed as functions of t, nor determine the concavity of the curve.
Given a set of parametric equations, we are asked to find (a) y expressed as a function of t, (b) x expressed as a function of t, and (c) determine whether the curve is concave up or concave down, except for the points where it is undefined. To find y expressed as a function of t, we examine the given parametric equations. However, the specific parametric equations are missing from the provided information. To determine y as a function of t, we need the equation that relates y to t.
Similarly, to find x expressed as a function of t, we need the equation that relates x to t. Without the parametric equations, we cannot provide an answer to this part. To determine whether the curve is concave up or concave down, we need the second derivative of either x or y with respect to t. However, since the parametric equations are not given, we cannot calculate the second derivative and determine the concavity of the curve.
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Which of the type directions lie in the (110) plane? [101] [110] [o īl] (110
Answers
The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.
Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.
Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.
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Pls help me do this :) urgent message!
Answers
Answer:
y-intersept is where the line crosses the y axis
on this one it is
(0,-3)
Hope This Helps!!!
Answer:
(0,-3)
Step-by-step explanation:
The y-intercept is where the equation of the line intersects the y-axis. In this case, by looking at the graph, we see that the y-intercept is (0,-3).
Hope this helps!!
What is an
equation of the line that passes through the points (-4,-4) and (4, 6)?
Answers
Answer:
Step-by-step explanation:
1.) Find the slope
\(\frac{y_2-y_1}{x_2-x_1} = \frac{6-(-4)}{4-(-4)}= \frac{6+4}{4+4} = \frac{10}{8}=\frac{5}4}\) = m2.) Use the slope-point form for a line
\(y-y_0=m(x-x_0)\)
Pick any point (-4,-4) or (4,6) into \(y_0 and x_0\\\)
but your equation is y= 5/4x+1
Pls explain so I can show my work!!
Answers
Answer:
He spends 20 percent of his free time reading so I think its 1 hour and 48 minutes.
WORTH 40 POINTS
write an equation given the following transformations
a hyperbola that is moved left 2 and up 5
all the info i have. steps would be appreciated
Answers
Answer:
Step-by-step explanation:
In this section, we will focus on graphing hyperbolas that open left and right or ... To easily sketch the asymptotes we make use of two special line segments ... From the center (5,4), mark points 3 units left and right as well as 2 units up and down. ... standard form for the equation of a hyperbola given the following information.
The sum of three consecutive numbers is 198. Find the numbers.
(Show Your Work)
Answers
first number = x
second number = x + 1
third number = x + 2
x + x + 1 + x + 2 = 198
3x + 3 = 198
3x = 195
x = 65
the numbers are 65, 66, and 67
Choose the number sentence that illustrates the distributive property of multiplication over addition.
a.) 3 × (4 + 6) = (3 × 4) + (3 × 6)
b.) 3 × (4 + 6) = (3 + 4) × (3 + 6)
c.) 3 × (4 + 6) = (3 × 4) + 6
Answers
Answer:
A. LHS,
3×(4+6)
3×10
30
NOW,
RHS,
(3×4)+(3×6)
12+18
30
Therefore, A is ans
The floor of a gazeebo is in the shape of a heptagon.Four of the interior angles measure 540 degrees.the other interior angles have equal measures.Find the measure of all the interior anglea
Answers
The measure of all the interior angles is 900 degrees
How to determine the valueIt is important to note that the sum of the interior angles of a regular polygon is represented with the formula;
(n - 2) 180
Given that, 'n ' represents the number of sides in the polygon.
From the information given, we have that;
Four of the interior angles measure 540 degrees
Substitute the values, we have;
(7-2)180
subtract the values
5(180)
multiply the values
900 - 540 = 360 degrees
Divide by 3 to determine the values
360/3 = 120 degrees
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