suppose your group measures the following three numbers in some experiment: 12.4,7.8,10.2. if you use half the range as an estimate of the standard deviation, what is the standard error on the mean of these numbers?
Answers
The standard error on the mean of these numbers is 1.08
For given question,
suppose your group measures the following three numbers in some experiment: 12.4,7.8,10.2
Mean of these numbers is:
\(\bar x=\frac{ 12.4+7.8+10.2}{3}\\\\ \bar x=10.13\)
So the standard deviation would be,
\(\sigma=\sqrt{\frac{(12.4-10.13)^2+(7.8-10.13)^2+(10.2-10.13)^2}{3} }\\\\\sigma=1.88\)
Now we find the standard error on the mean of these numbers.
\(\sigma_M=\frac{\sigma}{\sqrt{N} }\)
where, \(\sigma_M\) = standard error of the mean
σ = the standard deviation of the original distribution
N = the sample size
\(\sigma_M=\frac{1.88}{\sqrt{3} }\\\\\sigma_M=1.08\)
Therefore, the standard error on the mean of these numbers is 1.08
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Related Questions
graph the proportion
y = -1/4x
Answers
The graph of the proportion y = - 1/4 x is shown in figure.
What is Proportional?
Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The value of the function is,
⇒ y = - 1/4 x
Now,
The graph of the the proportion y = - 1/4 x is shown in attached figure
with passes through the point (0 , 0).
Thus, The graph of the proportion y = - 1/4 x is shown in figure.
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calculate the ground distance if the map distance is 20 cm write your answer in kilometers
Answers
The ground distance, given the map distance and the scale, would be 5 kilometers.
How to find the distance?If the scale on a map is 1:25,000, it means that one unit of distance on the map represents 25,000 units of distance on the ground. If the map distance is 20 cm, we can find the ground distance as follows:
Convert the map distance from centimeters to kilometers:
20 cm = 0.2 m = 0. 0002 km
Find the ground distance using the scale:
Ground distance = Map distance / Scale
Ground distance = 0. 0002 km / ( 1 / 25,000 )
Ground distance = 0.0002 km x 25,000
Ground distance = 5 km
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The full question is:
The scale on a map is 1:25,000. Calculate the ground distance if the map distance is 20 cm write your answer in kilometers
T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each statement with the feature of the graph that most closely corresponds to it.
Answers
Answer:
Y Intercept: It was 3C at the beginning of the day.
Positive or negative interval: The temperature was above zero between 8 am and 8 pm.
Increasing or decreasing interval: It was getting warmer between 2 am and 2 pm
Step-by-step explanation:
Features matching the correct statements are:
y intercept: It was ₋3°C at the beginning of the day.
Positive or negative interval: The temperature was above zero between 8 am and 8 pm.
Increasing or decreasing interval: It was getting warmer between 2am and 2 pm.
What is the temperature graph over time?
The x-axis in a time-temperature graph, sometimes known as a "x-y graph," depicts time, and the y-axis the temperature. The temperature's relationship to time is depicted on the graph.
we can notice in the given graph that T(t) represents the time and t represents the temperature of the city.
So we see when lowercase t when time is zero(0), zero hours after midnight the temperature in the New York city is negative 3°C(₋3°C) so it was ₋3°C at the beginning of the day since the true beginning of the day is right at midnight. Hence y intercept tells us that it was ₋3°C at the beginning of the day. Then about the positive or negative interval we can notice from the graph that we have a negative interval from time equals zero to time equals eight which means the temperature is negative as it goes below zero and from 8 am to 8 pm we can see that the temperature goes positive and then it dips down to negative again. So a positive or negative interval tells us about when the temperature was above xero between 8 am and 8 pm.The increasing and decreasing interval, here we see that the function is increasing as t increases so does the temperature, all the way to 2 pm. Hence, we are just using the increasing interval to match the statement that it was getting warmer between 2 am and 2 pm.Hence we get the statements match to their features.
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formula of interior and exteiror angle and how much interior + exterior equals to
Answers
Answer:
The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.Properties of exterior angles. The sum of exterior angle and interior angle is equal to 180 degrees.
Step-by-step explanation:
I asked Siri...
If A is a 12x9 matrix, what is the largest possible rank of A? If A is a 9x12 matrix, what is the largest possible rank of A? Explain your answers.
Select the correct choice below and fill in the answer box(es) to complete your choice
A. The rank of A is equal to the number of non-pivot columns in A. Since there are more rows than columns in a 12x9 matrix, the rank of a 12x9 m there are 3 non-profit columns. Therefore, the largest possible rank of a 9x12 matrix is
B. The rank of A is equal to the number of pivot positions in A Since there are only 9 columns in a 12x9 matrix, and there are only 9 rows in a 9x1.
C. The rank of Ais equal to the number of columns of A Since there are 9 columns in a 12x9 matrix, the largest possible rank of a 12x9 matrix is
Answers
The largest possible rank of a 12x9 matrix is 9.
The largest possible rank of a 9x12 matrix is also 9.
The rank of a matrix refers to the maximum number of linearly independent rows or columns in that matrix.
For a 12x9 matrix, the largest possible rank of A is equal to the number of non-pivot columns in A. Since there are more rows (12) than columns (9), the rank of a 12x9 matrix can be at most 9, because there are 9 columns and each column can be a pivot column. Therefore, the largest possible rank of a 12x9 matrix is 9.
On the other hand, for a 9x12 matrix, the largest possible rank of A is equal to the number of pivot positions in A. Since there are only 9 rows in a 9x12 matrix, and each row can be a pivot row, the rank of a 9x12 matrix can be at most 9. Therefore, the largest possible rank of a 9x12 matrix is 9.
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For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?
Help please!!!! thank you sm!!
Answers
Answer:
64 cups
Step-by-step explanation:
A cylinder has a radius of 7 inches and a height of 20 inches. What is the closest to the total surface area of this cylinder?
Answers
Which two rational numbers are opposites?
-1.25 -0.75 -0.25 1.25 1.75 2.00
0
Answers
Answer:
-1.25 and 1.25 is opposite
they are the opposites in this question.
which of the choices represents the number of days a taxpayer is allowed to extend the time to petition the tax court?a. 10 days, plus any days the location was unavailable or inaccessible. b. 12 days, less any days the location was unavailable or inaccessible. c. 14 days, plus any days the location was unavailable or inaccessible.d. 21 days, less any days the location was unavailable or inaccessible.
Answers
The right response is 21 days, minus any days that the location was unavailable or inaccessible.
What is the time petition of the tax court?This is due to the fact that taxpayers have 21 days starting from the date of the Notice of Deficiency to file a petition with the Tax Court, as per the Internal Revenue Service. However, the taxpayer can be given longer time to submit the petition if their place of residence or business was inaccessible or unavailable as a result of a natural disaster..
Upon receiving a Notice of Deficiency, the Internal Revenue Service (IRS) gives taxpayers 21 days to file a petition with the Tax Court. This petition is a formally filed motion asking the court to consider the proposed assessment of the IRS and resolve the taxpayer's disagreements with the agency.
Therefore, the right response is 21 days, minus any days that the location was unavailable or inaccessible.
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a square base that covers an area of 25 ft squared what is the length of one side of the tent?
Answers
whoever answers this question getting a kiss fr
Answers
Answer:
ooo me
Step-by-step explanation:
pls
which equation make the line shown here?
Answers
The line passes through points (-3,4) and (-2,-1).
The general equation of line passing through point (x_1,y_1) and (x_2,y_2) is,
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)Determine the equation of line passing through points (-3,4) and (-2,-1).
\(\begin{gathered} y-4=\frac{-1-4}{-2+3}(x+3) \\ y-4=\frac{-5}{1}(x+3) \\ y=-5(x+3)+4 \end{gathered}\)1. A farmer goes to market with 100 dollars to
spend. Cows cost 10 dollars each, pigs cost 3
dollars each, and sheep cost half a dollar each.
The farmer buys from the cattle dealer, the pig
dealer, and the sheep dealer. She spends exactly
100 dollars and buys exactly 100 animals. How
many of each animal does she buy?
Answers
Let us suppose that the farmer buys x cows, y pigs and z sheep. The total cost of cows, pigs, and sheep bought by the farmer is
10x + 3y + 0.5z.
The total number of cows, pigs, and sheep bought by the farmer is
x + y + z.
Given that the farmer spent exactly 100 and bought exactly 100 animals, we can write two equations as follows.
:\($10x + $3y + $0.5z = $100 ---(1)x + y + z = 100 ---(2).\)
Multiplying equation (2) by 10 on both sides, we get
:10x + 10y + 10z = 1000
Subtracting this equation from equation (1), we get
:7y + 9.5z = 500
The LHS of the equation
7y + 9.5z = 500
is an odd number. This means that either y or z has to be odd and the other even. If y is even, then z has to be odd and vice versa. However, both
3y and 0.5z
are integers.
The solutions are:
x =
52,
y = 8,
z = 40 ---(Option A)
or = 48,
y = 16,
z = 36
x = 44,
y = 24,
z = 32x
= 40,
y = 32
z = 28
The farmer buys 52 cows, 8 pigs, and 40 sheep.
Hence,
the answer is 52 cows, 8 pigs, and 40 sheep.
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12.6+4m=9.6+8m what does m=
Answers
Answer:
Step-by-step explanation:
12 frdb
Here you go 12.6 + 4m = 9.6 + 8m
WILL MARK BRANLIEST TO ACCURATE ANSWER. URGENT ANSWER REQUIRED. ANSWER NOW.
Answers
Answer:
It’s D. 4
Step-by-step explanation:
GOOD LUCK HOMIE AND USE A CALCULATO ;)
{y=7x-3
{y=-5x+9
hi i know it's late but it's also something i'm stuck on..
Answers
Answer:
x = 1 and y = 4
can be written (1, 4)
Step-by-step explanation:
If the directions say to solve the system, or solve for x and y, then you can do the following:
Use substitution.
y = 7x - 3
y = -5x + 9
These are both equal to y, so we can set them equal to each other.
7x - 3 = -5x + 9
add 5x to both sides
12x - 3 = 9
add 3 to both sides
12x = 12
divide both sides by 12
x = 1
Put this information into one of the original equations (doing both is a good check, you should get the same answer both times)
y = 7x - 3
put x = 1 into the eq.
y = 7(1) - 3
y = 7 - 3
y = 4
check using the other equation
y = -5x + 9
put x = 1 in
y = -5(1) + 9
y = -5 + 9
y = 4
The solution to the system of equations is (1, 4)
Ter.
Identify the property used in this equation:
(-2) + 6 + 1 = 1 + 6 + (-2)
Use the interactive tool tahyaluate the expression.
Answers
Answer:
commutative property
Step-by-step explanation:
Answer:
its commutative property and 5
sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions. a. random b. snowball c. stratified d. convenience
Answers
Random sampling is the correct answer. Which is option (A).
Sampling refers to a method to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is referred to as Random sampling.
What is sampling?
In statistics, sampling is the selection of a subset of individuals from within a statistical population to estimate characteristics of the whole population. Sampling is frequently employed in social science research. The method employed to select a subset of individuals for the sample from the population so that each has an equal chance of being assigned to the various study conditions is known as random sampling.
Content-loaded sampling refers to a form of sampling that is more sophisticated than simple random sampling.
In order to form a sample, it involves first determining which variables (or characteristics) are essential to the study, and then choosing people based on those variables, hence the name "content-loaded."On the other hand, in Stratified sampling, the population is divided into subgroups (strata) based on one or more characteristics that are expected to impact the study's outcomes. The proportion of people chosen from each group should reflect the group's percentage of the overall population.
Snowball sampling is a method for selecting a sample of individuals by locating others who share the characteristics being studied and asking them to suggest additional individuals who might participate in the study. Among the given options, (A) random sampling is the correct answer.
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Solve the system
9x^2 + 4(y - 2)^2 = 36
x^2 = 2y
Answers
Answer: y = 2 and x = 2
Step-by-step explanation:
\(9x^2+4(y-2)^2=36\\x^2=2y\)
First, get the entire thing in terms of y, because you cant solve for two variables at the same time. They gave us the fact that x^2 = 2y
\(9(2y)+4(y-2)^2=36\\18y+4(y^2-4y+4)=36\\18y+4y^2-16y+16=36\\4y^2+2y-20=0\)
What two numbers multiply to equal -80 but add to equal 2? That is +10 and -8.
\(4y^2+2y-20=0\\(4y^2-8y)+(10y-20)=0\\4y(y-2)+10(y-2=0)\\(4y+10)(y-2)=0\\y=-5/2\\y=2\)
Now solve for x by plugging in y to the easier equation
\(x^2=2(-5/2)\\x\neq \sqrt{-5}\)
If I didn't make a mistake, this should be the only answer. In the case of y = -5/2, you would get an imaginary x-value. Therefore y cannot equal -5/2
\(x^2=2(2)\\x=2\)
The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The system of equations are,
9x² + 4 (y - 2)² = 36 .. (i)
x² = 2y .. (ii)
Substitute the value of x² from (ii) in (i);
9x² + 4 (y - 2)² = 36
9 × 2y + 4 (y - 2)² = 36
18y + 4 (y - 2)² = 36
9y + 2 (y - 2)² = 18
9y + 2 (y² + 4 - 2y) = 18
9y + 2y² + 8 - 4y = 18
2y² + 5y + 8 - 18 = 0
2y² + 5y - 10 = 0
y = - 5 ± √5² - 4×2×- 10 / 2×2
y = - 5 ± √ 25 + 80 / 2
y = - 5 ± √ 105 / 2
y = - 5 ± 10.24 / 2
y = - 5 + 10.24 / 2
y = 5.24/2
y = 2.62
y = - 5 - 10.24 / 2
y = - 15.24 / 2
y = - 7.62
From (ii);
x² = 2y
x² = 2 × 2.62
x² = 5.24
x = 2.28
x² = 2y
x² = 2 × - 7.62
x² = - 15.24
x = 3.9i
Thus, The solution of the expression are,
x = 2.28 , y = 2.62
Or, x = 3.9i , y = - 7.62
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An isosceles triangle has base angles that each measure 42°. Which equation can be used to find z, the measure of the third angle of this isosceles triangle in degrees? \
Answers
Answer:
42 + 42 + z = 180
Step-by-step explanation:
Note that:
Base angles in an isosceles triangle are equal in measure.
The sum of angles in a triangle is 180°.
Thus, the equation would be
42 + 42 + z = 180
Is it possible to have triangle whose sides have length 10.2 cm 5 8 cm and 4.5 cm give reason?
Answers
A triangle is a closed shape in geometry with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as triangle △PQR. The most commonly seen examples of triangles are the signboards and sandwiches that are in the shape of a triangle.
Given Lengths of the ∆ -
10.2 cm
5.8 cm
4.5 cm
We know that by triangle formula,
The sum of any two sides of a triangle is always greater than the third side.
So, according to the given sides of the triangle that are 10.2, 5.8, 4.5.
(10.2 + 5.8) cm = 16 cm > 4.5 cm
(10.2 + 4.5) cm = 14.7 cm > 5.8 cm
(5.8 + 4.5) cm = 10.3 cm > 10.2 cm
Yet, it is also possible to have a triangle having sides 10.2 cm, 4.5 cm & 5.8 cm.
A triangle is just a simple polygon with three sides and three interior angles.
It is one of the basic structures in geometry in which the three vertices are joined with each other and it is denoted by the symbol △.
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Which statement is NOT always true?
A The inverse of a linear function is a function.
B The inverse of a quadratic function is not a function.
C If a function has two x-intercepts, then its inverse has two y-intercepts.
D The inverse of an exponential function is a logarithmic function.
Answers
Answer:
A The inverse of a linear function is a function. - this is not always true.
9 tickets to a theme park cost £243, how much would 7 tickets cost
Answers
Answer:
£189
Step-by-step explanation:
Divide the cost by 9 to find the cost of 1 ticket, then multiply this by 7
cost of 1 ticket = £243 ÷ 9 = £27
cost of 7 tickets = 7 × £27 = £189
fred anderson, an artist, has recorded the number of visitors who visited his exhibit in the first 8 hours of opening day. he has made a scatter plot to depict the relationship between the number of hours and the number of visitors. how many visitors were there during the fourth hour? 1 21 4 20
Answers
Based on the given information, it is not possible to determine the exact number of visitors during the fourth hour.
The scatter plot created by Fred Anderson might provide a visual representation of the relationship between the number of hours and the number of visitors, but without the actual data points or additional information, we cannot determine the specific number of visitors during the fourth hour. To find the number of visitors during the fourth hour, we would need the corresponding data point or additional information from the scatter plot, such as the coordinates or a trend line equation. Without these details, it is not possible to determine the exact number of visitors during the fourth hour.
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Solve this system of linear equations. Separate
the x- and y-values with a comma.
-7x + 6y = -5
2x + 4y = -10
Enter the correct answer.
Answers
Answer: x=-1 and y=-2
Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005. The table gives the number of tickets sold for each
concert. Select the points that represent this data.
Year
Tickets Sold
(thousands)
10
2000
2001
10
2002
20
2003
40
2004
55
2005
70
90
80
70
(so
Answers
The points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on graph.
How to read the data from the table?Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005.
The table gives the number of tickets sold for each concert. Select the points that represent this data.
Tickets Sold (thousands) Year 10 200010 200120 200240 200355 200470 2005The graph which represent the data in the data is attached below year wise.
For the first point, select the value 10 on graph vertically at year 2000. Similarly, select all the points on the graph for the table.
Thus, the points which represent the data in the table for Jeremiah's band played concerts at XYZ Stadium every year from 2000 through 2005 are selected on the graph.
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what is the value of the following expression tan (-5pi/6)
Answers
The value of the expression tan(-5π/6) can be determined using trigonometric properties and identities.
First, let's consider the unit circle. The angle -5π/6 is measured in the clockwise direction from the positive x-axis. In this position, the reference angle is π/6, which is the positive angle formed with the x-axis.
The tangent function (tan) is defined as the ratio of the sine (sin) of an angle to the cosine (cos) of the angle. Using the reference angle π/6, we can determine the value of tan(π/6) as the ratio of sin(π/6) to cos(π/6). sin(π/6) equals 1/2, and cos(π/6) equals √3/2. Therefore, tan(π/6) is (1/2) divided by (√3/2), which simplifies to 1/√3 or √3/3. Since tan is an odd function, tan(-5π/6) is equal to the negative of tan(5π/6). Therefore, tan(-5π/6) has the same value as -√3/3.
In conclusion, the value of tan(-5π/6) is -√3/3, which means that the tangent of the angle -5π/6 is negative and equal to the ratio of -√3 to 3.
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What is the solution to the equation 4.82y = 156.891?
Answers
Answer:
The answer to this is B. y=32.55
The quadrilateral below is a rhombus. Find the missing measures. Any decimal answers should be rounded to the nearest tenth.
NK =
m
NL =
m
ML =
m
JM =
m
m
Answers
A rhombus with MK = 24 m, JL = 20, ∠MJL = 50°. So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
We need the information about the measurements or a description of the missing measures in the rhombus. We can make it MK = 24 m, JL = 20, ∠MJL = 50° for example. Since it's a rhombus, all sides are equal in length. Therefore, NK = MK = 24 m, JM = JL = 20 m, and ML = NL.
To find ML (or NL), we can use the Law of Cosines on the triangle MJL. In this case,
ML² = JM² + JL² - 2(JM)(JL)cos(∠MJL):
ML² = 20² + 20² - 2(20)(20)cos(50°)
ML² = 400 + 400 - 800cos(50°)
ML² ≈ 617.4
Taking the square root of both sides, we get ML ≈ √617.4 ≈ 24.8 m.
So, NK = 24 m, NL = 24.8 m, ML = 24.8 m, and JM = 20 m.
The complete question is The quadrilateral below is a rhombus. Given MK = 24 m, JL = 20, ∠MJL = 50°. Find NK, NL, ML, and JM. Any decimal answers should be rounded to the nearest tenth.
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Use the distributive property to write an expression that is equivalent to 12 + 4x.
Answers
Answer:
10+2+4x
Step-by-step explanation:
its very simple but still right because 10 and 2 is 12 and well 12+4x is the thing you want to have the same as