suppose that you add to all observations in a sample. how does this change the sample mean? how does it change the sample standard deviation?
Answers
The adding of a constant to all observations in a sample will increase the sample mean by that constant.
The adding of a constant to all observations in a sample will not change the sample standard deviation.
How to change the sample mean and sample standard deviation?The sample mean is calculated by adding up all of the observations in the sample and dividing by the sample size. If a constant is added to all of the observations, then the sum of the observations will increase by the product of the constant and the sample size, and so will the sample mean.
if the original sample mean was 10 and a constant of 2 was added to each observation, then the new sample mean will be 12.
The sample standard deviation is calculated by finding the square root of the sum of the squared deviations from the sample mean, divided by the sample size minus one. If a constant is added to all of the observations, then the deviations from the new sample mean will be the same as the deviations from the original sample mean, because the constant will cancel out when the deviations are squared.
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Related Questions
Which of the following describes the graph of…
Answers
Answer:
the first one.simple ezzzz
Mr. Jones sold two pipes at $1.20 each. Based on the cost, his profit one was 20% and his loss on the other was 20%. On the sale of the pipes, he:
(a) broke even,
(b) lost 4 cents,
(c) gained 4 cents,
(d) lost 10 cents,
(e) gained 10 cents
Answers
two pipes= $1.20
solution:Selling price of the first pipe = $1.20
Profit = 20%
Let’s try to find the cost price of the first pipe
CP = Selling price - Profit
CP = 1.20 - 20% of CP
CP = 1.20 - 0.20CP
CP + 0.20CP = 1.20
1.20CP = 1.20
CP = 1.20/1.20
CP = $ 1
Selling price of the Second pipe = $1.20
Loss = 20%
Let’s try to find the cost price of the second pipe
CP = Selling price + Loss
CP = 1.20 + 20% of CP
CP = 1.20 + 0.20CP
CP - 0.20CP = 1.20
0.80CP = 1.20
CP = 1.20/0.80
CP = $1.50
Therefore, total cost price of the two pipes
= $1.00 + $1.50
= $2.50
And total selling price of the two pipes
= $1.20 + $1.20
= $2.40
Loss = $2.50 – $2.40 = $0.10
Therefore, Mr. Jones loss 10 cents.
answer= option d.
Ryan had some candy to give to his five children. He took three pieces for himself and then evenly divided the rest among his children. Each child received two pieces. With how many did he start?
Answers
Answer:
he had 13 peices of candy
Step-by-step explanation:
if he has 3 pieces for himself and 2 for each kid and he has 5 kids then you would just multiply 2 and 5 then add 3
the equation is (2 times 5)+3
Please Help!! Will mark brainiest!!
Answers
It’s the one that shows 6 is greater than x. So that’s means x is less than 6 not equal to
In ΔUVW, w = 5. 3 inches, v = 3. 6 inches and ∠V=32°. Find all possible values of ∠W, to the nearest 10th of a degree.
Answer: 51. 3∘ and 128. 7∘
from DeltaMath
Answers
ΔUVW is a triangle where w = 5.3 inches, v = 3.6 inches, and ∠V = 32°. To find all possible values of ∠W, we can use the properties of triangles.The two possible values, rounded to the nearest tenth of a degree, are 51.3° and 128.7°.
Could you please provide the range of possible values for ∠W in ΔUVW when w = 5.3 inches, v = 3.6 inches, and ∠V = 32°?In triangle ΔUVW, with side lengths w = 5.3 inches and v = 3.6 inches, and an angle ∠V = 32°, we can find the possible values of ∠W. By applying the Law of Sines, which relates the ratios of sides to the sines of their opposite angles, we can determine that sin(∠W) = (w / v) * sin(∠V). Plugging in the given values, we calculate sin(∠W) ≈ 0.8228. Using inverse sine (sin^(-1)), we obtain two possible angles for ∠W: 51.3° and 128.7°, rounded to the nearest tenth of a degree. These are the potential values of ∠W in the triangle ΔUVW.
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Choose the limit to which L'Hôpital's rule may be applied:
a. lim x approaches 0 (1/x)
b. lim x approaches 0 ((2x^2) -1)/3x-1
c. lim x approaches 0 (1-cosx)/x
d. lim x approaches 0 (cos2x)/2
which one is right?
Answers
The solution is Option C.
The L'Hopital's rule is applied to the equation lim x approaches 0 (1-cosx)/x
What is L'Hopital's rule?L'Hopital's rule then states that the slope of the curve when t = c is the limit of the slope of the tangent to the curve as the curve approaches the origin, provided that this is defined. The limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.The tangent to the curve at the point [g(t), f(t)] is given by [g′(t), f′(t)]
And , lim x approches c [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = lim x approaches 0 (1/x)
On simplifying the equation , we get
The limit diverges as the function diverges and limit does not exist
And , lim x approaches 0₊ (1/x) ≠ lim x approaches 0₋ (1/x) = ∞
b)
The equation is A = lim x approaches 0 ( 2x² - 1 ) / ( 3x - 1 )
On simplifying the equation , we get
when x = 0 ,
Substitute the value of x = 0 in the limit , we get
A = ( 2 ( 0 )² - 1 ) / ( 3 ( 0 ) - 1 )
A = ( 0 - 1 ) / ( 0 - 1 )
A = 1
c)
The equation is A = lim x approaches 0 ( 1 - cosx ) / x
On simplifying the equation , we get
Applying L'Hopital's rule , we get
lim x approches c [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]
f ( x ) = ( 1 - cos x )
g ( x ) = x
f' ( x ) = sin x
g' ( x ) = 1
So ,
lim x approches 0 [ f' ( x ) / g' ( x ) ] = lim x approches 0 ( sin x / 1 )
when x = 0
sin ( 0 ) = 0
Therefore , the value of lim x approaches 0 (1-cosx)/x = 0
d)
The equation is A = lim x approaches 0 ( cos 2x ) / 2
On simplifying the equation , we get
when x = 0 ,
A = cos ( 2 ( 0 ) / 2
A = cos ( 0 ) / 2
A = 1/2
Hence , the L'Hopital's rule is applied to lim x approaches 0 ( 1 - cosx ) / x
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insomnia and education. is insomnia related to education status? researchers at the universities of memphis, alabama at birmingham, and tennessee investigated this question in the journal of abnormal psychology (feb. 2005). adults living in tennessee were selected to participate in the study, which used a random-digit telephone dialing procedure. two of the many variables measured for each of the 575 study participants were number of years of education and insomnia status (normal sleeper or chronic insomniac). the researchers discovered that the fewer the years of education, the more likely the person was to have chronic insomnia. a. identify the population and sample of interest to the researchers. b. identify the data collection method. are there any potential biases in the method used? c. describe the variables measured in the study as quantitative or qualitative. d. what inference did the researchers make?
Answers
a. The population of interest to the researchers were adults living in Tennessee. The sample of interest were the 575 study participants who were selected using a random-digit telephone dialing procedure.
b. The data collection method was a survey conducted through telephone interviews. The potential biases in the method used could include non-response bias, where individuals who do not have telephones or do not answer calls may be excluded from the study. Additionally, there may be social desirability bias, where individuals may not report their true insomnia status due to social pressures.
c. The variables measured in the study were years of education and insomnia status. Years of education is a quantitative variable, while insomnia status is a qualitative variable.
d. The researchers inferred that there is a relationship between education status and insomnia, where individuals with fewer years of education are more likely to have chronic insomnia. However, it should be noted that correlation does not imply causation and further research would be needed to establish causality.
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Slope of -3,2 need help
Answers
Answer:
I think the answer is 2/-3
Step-by-step explanation:
-3/2
x y
Rise/Run
I NEED HELP NOW PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! im gonna fail i swear help please now
what's 2+2 ?
Answers
Answer:
2+2 = 4
Step-by-step explanation:
ok so if u put 2 fingers up and you add 2 more, you get 4
bruv
The company plans to sell the video game console at a loss in order to increase its sale. It will make up for the loss from profits made from the sales of Games for the system. The company will lose $50 for each console it sells and earn a profit of $15 for each game sold for the system. Write an equation that can be used to determine T the total amount the company will earn from a customer who buys a consul and G games
Answers
Answer: \(T= 15 G - 50\)
Step-by-step explanation:
As per given,
Total earning = (profit per game) x (Number of games) -(loss in consul)
Let T be the total amount the company will earn from a customer who buys a consul and G games.
Since, loss in consul = $50
profit per game = $15
Then required equation will be :
\(T= 15 G - 50\) , it determines T the total amount the company will earn from a customer who buys a consul and G games.
A and b are two disjoint set . If n(A)= y, find n(A U B)
Answers
The Value of n(A U B) is equal to y.
If A and B are two disjoint sets, it means that they have no elements in common. In other words, their intersection is an empty set, denoted as A ∩ B = ∅.
We ahve,
n(A) = y, which represents the number of elements in set A, we can find n(A U B), the number of elements in the union of sets A and B.
The union of two sets includes all the elements that are in either set A or set B (or both).
Since A and B are disjoint, we know that all elements of set A are exclusive to set A and do not belong to set B.
Therefore, n(A U B) would be the sum of the number of elements in set A (n(A) = y) and the number of elements in set B (since they are disjoint, n(B) = 0):
n(A U B) = n(A) + n(B) = y + 0 = y.
Therefore, n(A U B) is equal to y.
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how do the coordinates of a point compare with the coordinates of its reflection across the y-axis
Answers
Answer:
they are the same coordinates but opposite y values
Write the expression the product of 18 and 12
Answers
Answer: 18*12 or 216
Step-by-step explanation:
The product of 18 and 12 would be written as 18*12. When you solve the expression, you get 216.
what are the first 3 terms of the sequence represented by the expression n(n-2)-4
Answers
Answer:
-5, -4, -1
Step-by-step explanation:
To find the terms of the sequence, you have to use the given expression.
n ( n - 2 ) - 4
Here,
n ⇒ term number,
Accordingly, let us find the first 3 terms in this sequence.
For that, replace n with the term number
When n = 1,
T₁ = n ( n - 2 ) - 4
T₁ = 1 ( 1 - 2 ) - 4
T₁ = -5
When n = 2,
T₂ = n ( n - 2 ) - 4
T₂ = 2 ( 2 - 2 ) - 4
T₂ = - 4
When n = 3,
T₃ = n ( n - 2 ) - 4
T₃ = 3 ( 3 - 2 ) - 4
T₃ = - 1
there are 10 boy and 10 girl in a group, 2 boys are to selected and 2 girl are to selected for the play, how many ways can they selected.
Answers
Answer:
400 ways
Step-by-step explanation:
Times 10 x 10 x 2 x 2 to get your answer
Suppose that y is directly proportional to x and inversely proportional to the square of z. If x=48 when y=8 and z=3, find x when y=12 and z=2?
Answers
Answer:
x = 48
Step-by-step explanation:
First you find k
y = \(\frac{xk}{z}\)
8 = \(\frac{48k}{3}\) Multiply both sides by \(\frac{3}{48}\)
(8)\(\frac{3}{48}\) = \(\frac{48x}{3}\) \((\frac{3}{48})\)
0.5 = k
y = \(\frac{xk}{z}\)
12 = \(\frac{x.5}{2}\) Multiply both sides by \(\frac{2}{.5}\)
(12)\(\frac{2}{.5}\) = \(\frac{x.5}{2}\)\((\frac{2}{.5})\)
48 = x
Helping in the name of Jesus.
zeke company sells 26,600 units at $18 per unit. variable costs are $7 per unit, and fixed costs are $36,900. the contribution margin ratio and the unit contribution margin, respectively, are
Answers
The required contribution margin ratio and the unit contribution margin are 7/18 and $11 respectively.
What is contribution margin ratio and unit contribution margin?The contribution margin ratio (CM ratio) of a business is equivalent to its income less all factor costs, separated by its income. It addresses the negligible advantage of delivering another unit
The Contribution margin per unit is the selling cost of one unit of products less the variable expenses of making that unit. The commitment edge per unit is how much cash every deal contributes towards paying fixed costs. When the decent expenses are paid, it will show how much benefit is procured per unit sold.
According to question:We have,
Company sells units at $18 per unit and variable costs are $7 per unit.
then,
Contribution margin = Sales - variable cost = $18 - $7 = $11
Contribution margin ratio = Contribution margin / Sales
7/ 18
Thus, required contribution margin ratio and the unit contribution margin are 7/18 and $11 respectively.
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The time it takes to wash all the windows on a large building w(z) varies inversely with the number of workers assigned to the job x.
It takes 6 hours to complete the job when 4 workers are assigned to it.
Which equation can be used to find the time to complete the job when x workers are assigned to it?
a.)w(x) = 24/x
b.)w(x)= 1.5x
c.)w(x)=10/x
d.)w(x)=24
Answers
The equation that can be used to find the time to complete the job can be expressed as w (x) = 1.5x, so option B is correct.
What is the equation?A formula known as an equation uses the equals sign to denote the equality of two expressions.
Given:
The time taken to complete the work = 6 hrs,
The no of worker = 4,
The no of workers = The time taken by four workers / no of workers,
w (x) = 6 /4x
w (x) = 1.5x
Therefore, the equation that can be used to find the time to complete the job can be expressed as w (x) = 1.5x.
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All three meanings of fractions involve the idea of partitioning. true or false
Answers
True, all three parts of a whole, parts of a set, and division meanings of fractions involve the idea of partitioning.
Partitioning is a method of splitting numbers into smaller parts to make work easy. An example of Partitioning is when the child is taught to recognize that the number 54 represents 5 tens and 4 ones, which shows how the number can be partitioned into 50 and 4.
A fraction is defined as a part of the whole thing in mathematics, for example, when we say "1/2 of the pizza", we are partitioning the whole pizza into two equal parts and taking one of those parts. Types of Fractions are Proper Fractions, Improper Fractions, Mixed fractions, Like fractions, Unlike fractions, and Equivalent fractions
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4. (A). Use the digits 1, 6, 7 and 5 to form the greatest 4-digit even
number.
(B). Divide the answer in (A) by 8.
Answers
Answer:
A)5176
B)647
Step-by-step explanation:
5176 is the highest even number that is divisible by 8
Step-by-step explanation:
7-5= 2
5-1= 4
5+1 =6
7+1= 8
therefore, the four digits even number are 2,4,6,8
The equation d=4.9t2 represents the distance (d) an object falls in time. In the equation, d is in meters, and t is in seconds. If an object falls a total distance of 1.2 meters, approximately how long did it fall?
Answers
Answer:
The equation d=4.9t^2 represents the distance an object falls in time where d is in meters and t is in seconds.
If an object falls a total distance of 1 meter, we can solve for t by setting d to 1 and solving for t.
Therefore, 1 = 4.9t^2 which simplifies to t = sqrt(1/4.9) ≈ 0.45 seconds.
if f(x)=1/x+2 what is f(3+h)?
a)(3+h/x+2)
b)1/h+5
c)1/3+h
d)1/(x+2)(3+h)
Answers
The function given to us is:
\(f(x)=\frac{1}{x+2}\)We have been asked to find f(h + 3). Th
Answer:
b
Step-by-step explanation:
\(f(3+h)=\frac{1}{3+h+2}=\frac{1}{h+5}\)
on a standardized test with a normal distribution, the mean was 64.3 and the standard deviation was 5.4. what is the best approximation of the percent of scores that fell between 58.9 and 75.1?
Answers
the best approximation of the percent of scores that fell between 58.9 and 75.1 is 4.
The mathematical average of a group of two or more numbers is called the mean. There are two different sorts of means that can be calculated: the arithmetic mean and the geometric mean. The arithmetic mean is calculated by adding all of the numbers in a set and dividing by the total number of integers in the set.
Find the difference between these two figures and the mean, divide it by the standard deviation of 5.4, and you will know how many standard deviations 75.1 and 61.5 are above and below the mean:
(75.1−64.3)/5.4
=2sd
According to the empirical rule, 95% of data are within two standard deviations of the mean.
So, the answer is 4.
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what is the inverse of the function y=5x+30?
Answers
The inverse of the function is y = ( 1/5 )x - 6.
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Consider the function,
y = 5x + 30
To find the inverse of the function we interchange x and y then find the equation for y.
Therefore, after interchanging x and y:
x = 5y + 30
Subtracting 30 from each side of the equation.
x - 30 = 5y + 30 - 30
x - 30 = 5y
Now, dividing the whole equation by 5
( x - 30 ) / 5 = 5y / 5
y = ( 1/5 )x - 30/ 5
y = ( 1/5 )x - 6
Therefore, the inverse of the function y = 5x + 30 is y = ( 1/5 )x - 6.
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4 1/2 - 1 8/10 please
Answers
Answer:
Down below!!
Step-by-step explanation:
Exact Form:
27/10
Decimal Form:
2.7
Mixed Number Form:
2 7/10
Answer:
4 1/2 - 1 8/10 = 2 7/10
Step-by-step explanation:
Step 1 : Start by making the mixed fraction into improper fractions
4 1/2 = 9/2
(For the fraction 1 8/10, make sure to simplify 8/10!)
9/2 - 1 4/5 = 9/2 - 9/5
Step 2: Next find a common denominator for both the improper fractions.
9/2 x 5/5 = 45/10
9/5 x 2/2 = 18/10
45/10 - 18/10 = 27/10
Step 3: Now, make the improper fraction into a mixed number
27/10 = 2 7/10
So this shows us that 4 1/2 - 1 8/10 = 2 7/10! Hope this helps! :D
Tính đạo hàm của hàm số sau
y=x^3+x^2+1
Answers
\(y = {x}^{3} + {x}^{2} + 1 \\ y = {x}^{5} + 1 \\ y - 1 = {x}^{5} \)
Plz help brainiest to the correct answer!
Answers
#1
Current temperature=0°C
Temperature before 1 hour
\(\\ \sf{:}\dashrightarrow 0+3°C=3°C\)
#2
Temperature before 3h
\(\\ \sf{:}\dashrightarrow 0+3(3)=0+9=9°C\)
#3
Temperature before 4.5h
\(\\ \sf{:}\dashrightarrow 0+4.5(3)=13.5°C\)
There are 7 friends that want to ride together but only 4
open seats in the car. What is the probably that a specific
friend gets a spot in the car?
Answers
please solve!! 2(x+1)=x-7
Answers
Answer: Solution
=
−
9
Step-by-step explanation:
Answer:
answer is x = -9
Step-by-step explanation:
2x+2=x-7
x= -9
HURRY I WILL GIVE U BRAINLYIST Renaissance artists learned about depth and ______, which they incorporated in their works of art.
perspective
shading
color
shapes
Answers
Answer:
persepctive
Step-by-step explanation:
have a great day<3