An SRS of size 26 is drawn from a population that has a normal distribution. The sample has a mean of 143.5 and a standard deviation of 4. Give the standard error of the mean:
Answers
An SRS of size 26 is drawn from a population that has a Normal distribution, the standard error of the mean is 0.7844..
The standard error of the mean, or simply standard error, indicates how much the population mean can differ from the sample mean. It indicates how much the sample mean would change if the survey were repeated with new samples from a single population. It is calculated by dividing the standard deviation by the square root of the sample size.
We have given that,
SRS size , n = 26
The distribution is normal distribution,
Mean, u = 143.5
Standard deviations, sd = 4
standard error of the mean = sd/√n
= 4√26 = 0.7844
Hence, the standard error of mean is 0.7844..
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Related Questions
HELP PLEASE! FIND THE SCALE FACTOR GIVEN:
Triangle ABC ~ Triangle DEF.
AB=15
BC=Y
AC=18
DE=12
EF=9
DF=X
Answers
Given:
\(\Delta ABC\sim \Delta D EF\)
\(AB=15,BC=y,AC=18,DE=12,EF=9,DF=x\)
To find:
The values of x and y.
Solution:
We have,
\(\Delta ABC\sim \Delta D EF\)
Corresponding sides of similar triangles are proportional.
\(\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}\)
On substituting the values, we get
\(\dfrac{15}{12}=\dfrac{y}{9}=\dfrac{18}{x}\)
\(\dfrac{5}{4}=\dfrac{y}{9}=\dfrac{18}{x}\)
Now,
\(\dfrac{5}{4}=\dfrac{y}{9}\)
\(\dfrac{5}{4}\times 9=\dfrac{y}{9}\times 9\)
\(\dfrac{45}{4}=y\)
\(11.25=y\)
And
\(\dfrac{5}{4}=\dfrac{18}{x}\)
\(5\times x=18\times 4\)
\(x=\dfrac{72}{5}\)
\(x=14.4\)
Therefore, the value of x is 14.4 units and value of y is 11.25 units.
FOUR CARS CRASH AT 5 MILES AN HOUR. Cost of the repairs are 422, 456, 401, and 215
COMPUTE RANGE
SAMPLE VARIANCE,
AND SAMPLE STANDARD DEVIATION
Answers
The range of the repairs to the cars is 241.
The sample variance is 11, 671.33
The sample standard deviation would be 108.03.
How to find the range ?Range = Maximum repair cost - Minimum repair cost
= 456 - 215
= 241
How to find the sample variance and standard deviation ?Find mean :
= (422 + 456 + 401 + 215) / 4
= 373. 5
Sample variance :
= Sum of ( each repair cost - mean ) ² / (Number of cars - 1)
= ( 2, 340.25 + 6, 812.25 + 756.25 + 25, 105.25 ) / ( 4 - 1 )
= 11, 671. 33
Sample standard deviation:
= √sample variance
= √11, 671. 33
= 108. 03
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Suppose that the matrix A has repeated eigenvalue with the following eigenvector and generalized eigenvector: A = 1 with eigenvector = [] and generalized eigenvector - [1-3]. Write the solution to the linear system' = Ar in the following forms. A. In eigenvalue/eigenvector form: [x(t)] = C1 [8] 248-89 + e B. In fundamental matrix form: [x(t)] [y(t)] [188 C. As two equations: (write "c1" and "c2" for c₁ and c₂) x(t) = y(t) = Note: if you are feeling adventurous you could use other eigenvectors like 47 and other generalized eigenvectors like - 37. Just remember that if you change , you must also change for its fundamental solution!
Answers
The solution for the linear system will be , x(t) = 4 c₁e^t + 4 c₂e^t and
y(t) = -c₂e^t + c₂(1 - t)e^t .
The solution is given by ,
matrix | x y | = c₁ .v . e^λt + c₂( w + v.t ) e^λt
Given that the matrix has repeated eigenvalue with eigenvector generalized vectors ,
λ = 1 with eigenvector v = [ 4 , -1 ] and generalized vectors w =[ 0,1 ].
then the solution will be,
c₁ [ 4 , 1 ] e^t + c₂[ 0 , 1] + [ 4 , -1 ] )e^t
therefore,
x(t) = 4 c₁e^t + 4 c₂e^t
y(t) = -c₂e^t + c₂(1 - t)e^t
Matrixes represent linear maps and allow for explicit linear algebra operations. As a result, matrices play an important role in linear algebra, and most characteristics and operations in abstract linear algebra may be represented in terms of matrices.
Matrix multiplication, for example, depicts the combination of linear maps.
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Assume that the recorded heights of 10 students are 120, 122, 128, 176, 124, 127, 121, 125, 127, and 129 centimeters. Which number do you think will be the outlier while calculating the average height of students in the class and why? How would you deal with this outlier?
Answers
Answer:
I have 20000 diamonds
Step-by-step explanation:
I have 39 huge cat
Math! Answers to 11 and 12?
Answers
Answer: 11 a 12 c Step-by-step explanation:
Luis uses cubes to represent each term of a pattern based on a recursive function. The recursive function defined is f(n + 1) = f(n) + 4, where n is an integer and n ≥ 2. The number of cubes used in each of the first two figures is shown below. How many cubes does Luis use in the third, fourth, and fifth figures of the pattern? Fill in the blanks.
Figure 1: 9 cubes
Figure 2: 13 cubes
Figure 3:
cubes
Figure 4:
cubes
Figure 5:
cubes
Answers
Answer:
17 cubes 21 cubes25 cubesStep-by-step explanation:
Given function
f(n + 1) = f(n) + 4The first two values are given
f(1) = 9 f(2) = 13The following terms are
f(3) = 13 + 4 = 17
Figure 3 = 17 cubesf(4) = 17 + 4 = 21
Figure 4 = 21 cubesf(5) = 21 + 4 = 25
Figure 5 = 25 cubesAs per Luis' pattern:
Figure 3: 17 cubes.
Figure 4: 21 cubes.
Figure 5: 25 cubes.
What is an arithmetic sequence?A series of integers called an arithmetic progression or arithmetic sequence (AP) has a constant difference between the terms.
The recursive function f(n + 1) = f(n) + 4 means that to find the number of cubes in the next figure, Luis needs to add 4 cubes to the number of cubes in the previous figure.
In Figure 1, there are 9 cubes.
To get Figure 2, Luis adds 4 cubes, which results in 13 cubes.
To find the number of cubes in Figure 3, Luis needs to add 4 cubes to the number of cubes in Figure 2, which results in 17 cubes.
To find the number of cubes in Figure 4, Luis adds 4 to the number of cubes in Figure 3, resulting in 21 cubes.
To find the number of cubes in Figure 5, Luis adds 4 cubes to the number of cubes in Figure 4, which results in 25 cubes.
Therefore, the number of cubes in the third, fourth, and fifth figures is 17, 21, and 25, respectively.
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Where does a case go if the defendants want to challenge a decision made in a federal district court?
civil court
criminal court
Supreme Court
court of appeals
Answers
Mr. Thompson is buying rulers for his class.
Which option gives Mr. Thompson the best price per ruler?
A. 4 rulers for $1.00
B. 50 rulers for $15.00
C. 100 rulers for $20.00
D. 200 rulers for $30.00
Answers
Answer:
D: 200 rulers for $30.00. You have quite a few choices! You may need to find out the percentage [%] of each first.
Step-by-step explanation:
A: 1 Ruler for $0.25
B: $0.30
C: $0.20
D: $0.15
Solve for x.
OA. 9
OB. 1
OC. 4
OD.7
Answers
The value x in the secant line using the Intersecting theorem is 4.
What is the value of x?Intersecting secants theorem states that " If two secant line segments are drawn to a circle from an exterior point, then the product of the measures of one of secant line segment and its external secant line segment is the same or equal to the product of the measures of the other secant line segment and its external line secant segment.
From the figure:
First sectant line segment = ( x - 1 ) + 5
External line segment of the first secant line = 5
Second sectant line segment = ( x + 2 ) + 4
External line segment of the second secant line = 4
Using the Intersecting secants theorem:
5( ( x - 1 ) + 5 ) = 4( ( x + 2 ) + 4 )
Solve for x:
5( x - 1 + 5 ) = 4( x + 2 + 4 )
5( x + 4 ) = 4( x + 6 )
5x + 20 = 4x + 24
5x - 4x = 24 - 20
x = 4
Therefore, the value of x is 4.
Option C) 4 is the correct answer.
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please help me with math i’ll give you brainlist
Answers
Answer: False
Step-by-step explanation:
25% of the data is between Q1 and the median.
two sides and an angle are given below. determine whether the given information results in one triangle, two triangles, or no triangle at all. solve any resulting triangle(s). b = 8, c= 7, b = 170°
Answers
Answer:
A. single triangle. C = 8.74°, A = 1.26°, a = 1.01
Step-by-step explanation:
When two sides and an angle are given, the possibility of two (or zero) triangles exists only when the given angle is opposite the shorter of the two given sides. That is not the case here, so the given measures define one unique triangle.
Law of SinesThe law of sines tells us the sides and angles have the relation ...
sin(A)/a = sin(B)/b = sin(C)/c
We can use this first to find angle C:
sin(C) = c/b·sin(B)
C = arcsin(c/b·sin(B)) = arcsin(7/8·sin(170°)) ≈ 8.7394°
∠C ≈ 8.74°
Remaining measuresNow that we know two angles, we can find the third:
A = 180° -B -C = 180° -170° -8.74° = 1.26°
∠A = 1.26°
Using the law of sines again, we can find the measure of side 'a'.
a = b·sin(A)/sin(B) = 8·sin(1.26°)/sin(170°) ≈ 1.01346
The measure of segment 'a' is about 1.01 units.
__
Additional comment
If 'a', 'b', and angle A are given, there will be zero triangles if b/a·sin(A) > 1. If b/a·sin(A) < 1 and b > a, there will be two (2) triangles. Otherwise, as here, there will be one unique triangle.
Graphs of a function and its inverse are shown on the same coordinate grid.
Which statements accurately compare the function and its inverse? Check all that apply.
The domains of the two functions extend to positive infinity.
The ranges of the two functions are all real numbers.
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Neither function has a minimum.
Answers
The correct statements are;
The x-intercept of f(x) and the y-intercept of f–1(x) are reciprocals of each other.
The point of intersection of the two functions indicates that the functions are inverses.
Option C and D
How to determine the correct statementsTo accurately compare a function and its inverse based on the graphs, we have to know the following;
The domains of the two functions extend to positive infinity if the domain of the inverse function is equivalent to the range of the original function.The ranges of the two functions are all real numbers if the graphs cover the entire y-axis without any gaps or discontinuities.If the graphs intersect at the point (a, b), it means that f(a) = b and f^(-1)(b) = a, indicating that the functions are inverses of each other.
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Help Me Please.............(3)
Answers
Answer:
0
Step-by-step explanation:
If you want to save your total contribution for all 4 years before you start attending college, how much do you need to save each month if you have 4 years to accomplish your goal?
Answers
The solution is:
If my parents are going to pay the 5%, then, they will pay: $2979.
I will need to save $62.06 each month to accomplish my goal.
Here,
I'm going to a 4-year college that will cost $14895/year.
It means that I will need to pay: 14895*4 = $59.580
If my parents are going to pay the 5%, then, they will pay: $2979.
Now, if I want to save my total contribution for all four years, and I have four years to accomplish the goal, then:
Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.
Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.
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complete question:
You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.
How much do you need to pay for each year of attending?
If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?
K
Form a polynomial whose real zeros and degree are given.
Zeros: -3, 0, 2;
degree: 3
www
Type a polynomial with integer coefficients and a leading coefficient of 1.
f(x) =
(Simplify your answer.)
Answers
Step-by-step explanation:
If a is a root, then (x-a) is a factor.
So, the equation is f(x)=x(x-2)(x+3)
(x-1)(x-3)(x+5)(x+7)=297
Answers
First simplify the expression into polynomial form,
\((x-1)(x-3)(x+5)(x+7)=297\)
\(x^4+8x^3-10x^2-104x+105=297\)
\(x^4+8x^3-10x^2-104x-192=0\)
Now factor into,
\((x-4)(x+8)(x^2+4x+6)=0\)
Which means the solutions are,
\(x-4=0\implies\boxed{x_1=4}\)
\(x+8=0\implies\boxed{x_2=-8}\)
and then two complex solutions because determinant of the third factor \(D\lt0\),
\(x^2+4x+6=0\)
\(x^2+4x+4=-2\)
\((x+2)^2=-2\implies\boxed{x_3=i\sqrt{2}-2},\boxed{x_4=-i\sqrt{2}-2}\)
Hope this helps :)
Answer:
x=4
Step-by-step explanation:
(4-1)(4-3)(4+5)(4+7)=297
93 divided by 585.9 steps to solve?
Answers
how do i solve for this?
Answers
For three set the two equations equal. Same for four
which of the following graphs could describe the system of equations
a) blue
b)purple
c)green
d)pink
Answers
Answer:
It is purple
Step-by-step explanation:
Answer:
purple
because they interset each other
Step-by-step explanation:
Which choices if multiplied by √36
would result in an irrational number answer?
Responses
A 3.454545...
B −52
C √9/16
D 2.828427...
E √18
Answers
The choices if multiplied by √36 would result in an irrational number are
3.454545... and 2.828427... the correct options are A and D.
What are natural numbers, rational numbers, integers and irrational numbers?
Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of \dfrac{a}{b} where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given;
The number is multiplied by √36
√36=6
3.454545*6=20.72727
-5*6=-30
3/4*6=9/2
2.828427*6=16.970562
√18*6= 6√18
Therefore, the irrational numbers will be 3.454545... and 2.828427...
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Find the slope between the two points.
(4, 2) and (3, 8)
Plz help ASAP
Answers
Answer: -6
Step-by-step explanation: 8-2= 6 and 3-4= -1. So 6/-1 is -6
Solve. 3(4x - 7) =27
Answers
Kenya Kon sells dishwashers. He earns an 8% commission on sales. How much must he sell in order to earn $3000?
*if you can answer fast that would be great! thank you!
Answers
Explanation:
please help 30 points
Answers
See attachment for the graph of the function y = 5 sin(4x)
How to graph the trigonometry function?The trigonometry function is given as:
y = 5 sin(4x)
To plot the graph, we use the following domain:
x > 0
This represents the minimum value of x
Also, we use
x < π/2
This represents the maximum value of x
When the domain are combined, we have:
0 < x < π/2
This means that the domain that gives a complete cycle is 0 < x < π/2
See attachment for the graph of the function
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What equation shows the inverse variation represented in the table?
Answers
Last year Kristen had $ 20 , 000 to invest. She invested some of it in the first account that paid 7 % simple interest per year, and she invested the rest of it in a second account that paid 8 % simple interest per year. After one year, she received a total of $ 1 , 540 in interest. How much did she invest in each account?
Answers
The amount invested in the account that earns 7% interest is $6,000 and the amount invested in the account that earns 8% interest is $14,000.
How much is invested in each account?The system of equations that represent the information in the question is:
a + b = 20,000 equation 1
0.07a + 0.08b = 1540 equation 2
Where:
a = amount invested in the account that earns 7% interest
b = amount invested in the account that earns 8% interest
The elimination method would be used to solve the equations.
Multiply equation 1 by 0.07
0.07a + 0.07b = 1,400 equation 3
Subtract equation 3 from equation 2
0.01b = 140
Divide both sides of the equation by 0.01
b = 140/ 0.01
b = 14,000
Substitute for b in equation 1:
a + 14,000 = 20,000
a = 20,000 - 14,000
a = 6,000
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I need help on this question
Answers
Answer:
a = 62.5
b = 40
c =62.5
d = 70
What is the meaning of the y-intercept in the context of the problem? A. The tablet starts with 30 percent of battery remaining. B. After 30 hours, the tablet will have 0 battery left. C. The tablet will not have any battery remaining after 3 hours. D. The tablet loses 3 percent of battery every hour.
Answers
Solving provided question, we can say that equation of slope intercept will be => y - 30 = mx - 3m
what is slope intercept?In mathematics, the intersection point is the place on the y-axis where the slope of the line crosses. a place where the y-axis crosses on a line or curve. Y = mx+c, where m stands for the slope and c for the y-intercept, is used as the equation for the straight line to show this. The slope (m) of the line and its y-intercept (b) are emphasised in the equation's intercept form. When an equation has the intercept form (y=mx+b), the slope is m and the y-intercept is b. Some equations can also be rewritten such that they seem to be slope intercepts. If y=x is rewritten as y=1x+0, for instance, the slope and y-intercept are both changed to 1.
from the provided graph,
the coordinates are (3,30)
equation of slope intercept will be
y - 30 = m(x - 3)
y - 30 = mx - 3m
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\(\frac{x+4}{3} =7\)
Answers
\(\dfrac{x+4}{3} =7\)
Multiply both sides by 3:
\((\dfrac{x+4}{3} )\times3=(7)\times3\)
\(x+4=21\)
Subtract 4 from both sides:
\(x+4-4=21-4\)
\(\boxed{x=17}\)
4/9 divided by what makes 12