FILL IN THE BLANK. The size of the observed effect, the number of subjects or observations, and the ___ of data within each group are all involved in the calculation of a p-value
Answers
variability.
In statistics, variability refers to the spread or spread of a data set. It is a measure of how much the data points in the dataset differ from each other and from the mean (mean) of the data.
There are several ways to quantify dataset variability. A common measure of variability is range. This is the difference between the highest and lowest values in the dataset. Another measure of variability is variance. This is a measure of how far the data points are from the mean. Standard deviation is another measure of variability calculated by taking the square root of the variance.
In addition to these measures of variability, there are other statistical techniques that can be used to summarize the spread of datasets, such as Box plot and histogram. These techniques help visualize data variability and identify outliers.
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Related Questions
Yvonne is comparing the weights of a semi-truck trailer tire and a mobile home. a semi-truck trailer tire weighs about 102 pounds, and a mobile home weighs about 104 pounds. what is the ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home?
Answers
The ratio of the weight of a semi-truck trailer tire compared to the weight of a mobile home will be 51: 52.
What is the ratio?The utilization of two or more additional numbers that compares is known as the ratio.
The weight of the semi-truck trailer tire is 102 pounds.
The weight of the mobile home is 104 pounds.
The ratio of the weight of a semi-truck trailer tire to a mobile home is given as.
Ratio = 102 / 104
Ratio = 51 / 52
Ratio = 51: 52
The ratio of the weight of a semi-truck trailer tire to a mobile home will be 51: 52.
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13. Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 6 hours. Chris
can paint the same house in 5 hours. The three working together can paint the house
in 2 hours. How many hours does it take Lexi to paint the house?
Answers
Answer:
13
Step-by-step explanation:
❤️❤️❤️❤️❤️
Are -3/5 and -0.4 equal
Answers
\( \huge \boxed{\mathfrak{Question} \downarrow}\)
Are -3/5 and -0.4 equal ?\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)
Okay so, to solve this question we need to convert -3/5 to its decimal form.\( \large \sf - \frac{3}{5} = - 0.6 \\ \)We can see that - 3/5 is equal to - 0.6 which is not equal to -0.4.So, - 3/5 & - 0.4 are not equal.Hey there!
Convert the fraction to decimals.
-3/5 = -0.6
-0.6 < -0.4
Hence, -3/5 is not equal to -0.4.
Answer = NO
Hope it helps ya!
2x + 4y = 160
1x + 4y = 72
Answers
Answer:
x = 88; y = -4
Step-by-step explanation:
2(x+2y) = 160 --> x + 2y = 80
--> 1x + 4y - x - 2y = 72 - 80
--> 2y = -8 --> y = -4
--> x = 88
Which expression is equivalent to −3(1.2x − 3.7) + 12.9
Answers
On solving the provided question ,we can say that By combining related phrases, the following expression results: -3.6x + 24
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
Start by placing the negative sign outside of the brackets to simplify the calculation 3(1.2x 3.7) + 12.9:
-3(1.2x - 3.7) + 12.9 = -3(1.2x) + 3(3.7) + 12.9
The concepts included in brackets can then be clarified:
-3(1.2x) = -3.6x
Likewise, clarify the other words:
3(3.7) = 11.1
Finally, you may reintroduce the original phrase using these simplifications:
-3(1.2x - 3.7) + 12.9 = -3.6x + 11.1 + 12.9
By combining related phrases, the following expression results:
-3.6x + 24
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In a Healthy Jogging event, a few hundred participants were expected to jog 7 800 000 metres altogether. They had jogged 25 000 metres in the first few minutes. How many thousands must be added to 25 000 to make 7 800 000?
Answers
we have to add 7775000 to make 7800000 from 25000 which is calculated by using Substraction method.
Subtraction in mathematics is the process of subtracting one integer from another. In other terms, the result of subtracting two from five is three. After addition, subtraction is usually the second process you learn in math class.Subtraction is the action or procedure of determining the difference between two quantities or figures. The phrase "taking away one number from another" is also used to describe the process of subtracting one number from another.
Distance to be covered altogether= 7800000 m
THE distance has covered= 25000 m.
We can calculate the thousands needs to be added in 25000 to make it 7800000 by using Substraction method:-
7800000-25000= 7775000m
hence, to make 7800000 from 25000 we have to add 7775000.
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PRECAL
given h(x) = [x] what translation occurs in the graph h(x)= [x+9] -5?
![PRECAL given h(x) = [x] what translation occurs in the graph h(x)= [x+9] -5?](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/l4fmxn2IwHgGVBRdYQTD9ngzOHTG7omt.png)
Answers
Find the equation of the line.
Use exact numbers.
y = ___ x + ____
Answers
Answer:
y = \(\frac{3}{4}\) x - 2
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, - 2) and (x₂, y₂ ) = (4, 1) ← 2 points on the line
m = \(\frac{1-(-2)}{4-0}\) = \(\frac{1+2}{4}\) = \(\frac{3}{4}\)
the line crosses the y- axis at (0, - 2 ) ⇒ c = - 2
y = \(\frac{3}{4}\) x - 2 ← equation of line
Find the maximum and minimum values attained by f(x, y, z) = 2xyz on the unit ball x2 y2 z2 ≤ 1
Answers
The maximum and minimum values of f(x,y,z) = 2xyz are \(\frac{2}{\sqrt{3} } and \frac{-2}{\sqrt{3} }\)
The value of the function at a maximum point is called the maximum value of the function and the value of the function at a minimum point is called the minimum value of the function. Differentiate the given function.
f(x,y,z)=2xyz
Computation:
Differentiating the given equation up to second order
\(\begin{gathered}f_x=2yz\Rightarrow 2yz=0 either y=0 or z=0\\f_y=0\Rightarrow 2xz=0 either x=0 or z=0\\f_z=0\Rightarrow 2xy=0 either x=0 or y=0\end{gathered}\)
So, the critical point is (0,0,0)
Now, using the Lagrange's on the boundary,
\(\begin{gathered}g(x,y,z)=x^2+y^2+z^2-1=0\\g_x=2x\\g_y=2y\\g_z=2z\end{gathered}\)
\(So, \bigtriangledown f=\lambda \bigtriangledown g\left < 5yz,5xz,5xy \right > =\lambda \left < 2x,2y,2z )\)
By solving we get,
\(x^2=y^2=z^2\) then,
\(\begin{gathered}x^2+y^2+z^2=1\\3z^2=1\\z=\pm \frac{1}{\sqrt{3} } \\y=\pm \frac{1}{\sqrt{3} } \\\\x=\pm \frac{1}{\sqrt{3} } \\\end{gathered} x 2+y 2+z 2=13z 2=1z=± 31\)
\(So, the critical points are (0,0,0),(\frac{1}{\sqrt{3} } ,\frac{1}{\sqrt{3} } ,\frac{1}{\sqrt{3} } )and (\frac{-1}{\sqrt{3} }, \frac{-1}{\sqrt{3} },\frac{-1}{\sqrt{3} })\)
So, by substituting the critical points we get,
\(\begin{gathered}f(0,0,0)=0\\f(\frac{1}{\sqrt{3} }, \frac{1}{\sqrt{3} },\frac{1}{\sqrt{3} })=2(\frac{1}{\sqrt{3} })(\frac{1}{\sqrt{3} })(\frac{1}{\sqrt{3} })\\=\frac{2}{3\sqrt{3} } \\f(-\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} },-\frac{1}{\sqrt{3} })=2(-\frac{1}{\sqrt{3} })(-\frac{1}{\sqrt{3} })(-\frac{1}{\sqrt{3} })\\=-\frac{2}{3\sqrt{3} }\end{gathered}\)
Hence the maximum and minimum values of f(x,y,z) are \(\frac{2}{\sqrt{3} } and \frac{-2}{\sqrt{3} }\)
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13 percent of students are girls and 25 percent are boys how many students are there all ?
Answers
Answer:
0
Step-by-step explanation:
You have seven bags of gold coins. Each bag has the same number of gold coins. One day, you find a bag of 53 coins. You decide to redistribute the number of coins you have so that all eight bags you hold have the same number of coins. You successfully manage to redistribute all the coins, and you also note that you have more than 200 coins. What is the smallest number of coins you could have had before finding the bag of 53 coins
Answers
The smallest number of coins you could have had before finding the bag of 53 coins is 371. which is more than 200.
There are seven bags, so there are 7x coins in total:
7x = T.
Since the number of coins in each bag must be an integer, (T + 53) must be a multiple of 8. We know that T = 7x, so we can write this as follows:
(7x + 53) ≡ 0
(mod 8)This means that 7x ≡ 3 (mod 8).
The solutions to this congruence are
x ≡ 3, 11 (mod 8).
Since x is a positive integer, we take
x = 11
(the other possibility, x = 3,
leads to a smaller value for T).
Therefore, T = 7x = 77, and the total number of coins after the bag of 53 coins is found is
T + 53 = 130.
After redistributing the coins into eight equal bags, each bag contains 16 coins.
Therefore, the number of coins you had initially was
7x = 77,
so the smallest number of coins you could have had before finding the bag of 53 coins is
77 - 53 = 24.
After redistributing the coins, you had
8 × 16 = 128 coins left,
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Does the function f(x) = 25e-2x represent exponential growth, decay, or neither?
Answers
The given function f(x) = 25e^(-2x) represent the exponential decay.
According to th egiven question.
We have an exponential function.
f(x) = 25e^(-2x)
As we know that
If \(P = P_{o} e^{-kt}\) be an exponential function, then it will represent
an exponential growth if 0 < e^(-k) < 1an exponential decay if e^(-k) >1Where,
P is the final amount
\(P_{o}\) is the intial amount
t is the time interval
k is the constant of proportionality
For the given question if we compare the given exponential function with the standard exponentential function we get
\(P_{o}\) = 25
k = 2
and t = x
Now,
e^(-2) = 0.13
Since, e^(-2) < 1.
Hence, the given function f(x) = 25e^(-2x) represent the exponential decay.
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Write 0.302 repeating as a fraction. show your work.
Answers
Answer:
x = 302/999
HERE THE ANSWER
Step-by-step explanation:
What does A Equal in this Problem?
Answers
\(\text{Area of the trapezoid}= \left(\dfrac{AD+BC}2\right)CK\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\left( \dfrac{10+8}2\right) \times 30 \\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\dfrac{18}2 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=9 \times 30\\\\\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=270~~ \text{sq units.}\)
what is 9 plus 9 divided by 1
Answers
Answer:
18
Step-by-step explanation:
9+9=18 x 1= would just be 18
Answer:
18
Step-by-step explanation:
find the average rate of change for the following equation over the interval -4≤x≤1
y=x^2 + 4x -1
Answers
To find the average rate of change of a function over an interval, we need to calculate the slope of the secant line connecting the points on the function at the two endpoints of the interval.
The equation of a line in slope-intercept form is y = mx + b, where m is the slope of the line and b is the y-intercept. In the case of a secant line, we can calculate the slope by using the formula:
m = (y2 - y1) / (x2 - x1)
For the function y = x^2 + 4x - 1, we can plug in the values of x and y at the two endpoints of the interval, (-4 and 1), to find the slope of the secant line:
m = [(1)^2 + 4(1) - 1] - [(-4)^2 + 4(-4) - 1] / (1 - (-4))
Simplifying this expression, we get:
m = (1 + 4 - 1) - (16 + 16 - 1) / (-3)
This simplifies to:
m = -20 / -3
Therefore, the average rate of change of the function y = x^2 + 4x - 1 over the interval -4 ≤ x ≤ 1 is 6.5.
If gas costs $2.49 per gallon, how many whole gallons of gas could you buy with $15.00?
(Make sure to answer with a whole number.
Answers
Answer: 6.02
Step-by-step explanation:
If we know 1 gallon = 2.49
We would have to do 15.00 divided by 2.49 in order to figure out how many gallons we need. When we do that we would get 6.024 but you can round by the nearest tenth because you need to have a whole number and you would get 6 ·ω·
A large right triangle is going to be a part
Answers
The given triangle in the question is a right-angled triangle. In order to get the length of each side, we will apply the Pythagoras theorem.
The Pythagoras theorem is,
\(\text{Hypotenuse}^2=Opposite^2+Adjacent^2\)Where,
\(\begin{gathered} \text{Hypotenuse}=5 \\ \text{Opposite}=2x-2 \\ \text{Adjacent}=x \end{gathered}\)Therefore,
\(5^2=(2x-2)^2+x^2\)Let us expand the above
\(\begin{gathered} 25=2x(2x-2)-2(2x-2)+x^2 \\ 25=4x^2-4x-4x+4+x^2 \\ 25=5x^2-8x+4 \end{gathered}\)Switch sides
\(5x^2-8x+4=25\)Subtract 25 from both sides
\(5x^2-8x+4-25=25-25\)Simplify
\(5x^2-8x-21=0\)Solve with the quadratic formula
\(x_{1,\: 2}=\frac{-\left(-8\right)\pm\sqrt{\left(-8\right)^2-4\cdot\:5\left(-21\right)}}{2\cdot\:5}\)Thus
\(\sqrt[]{(-8)^2-4\cdot\: 5(-21)}=22\)Therefore,
\(x_{1,\: 2}=\frac{-\left(-8\right)\pm\:22}{2\cdot\:5}\)Separate the solutions
\(x_1=\frac{-\left(-8\right)+22}{2\cdot\:5},\: x_2=\frac{-\left(-8\right)-22}{2\cdot\:5}\)Hence,
\(\begin{gathered} x=\frac{-(-8)+22}{2\cdot\: 5}=3 \\ x=\frac{-(-8)-22}{2\cdot\: 5}=-\frac{7}{5} \end{gathered}\)The solutions to the quadratic equations are
\(x=3,\: x=-\frac{7}{5}\)Therefore, from the above result, the length of a triangle can never be negative.
Hence, x = 3
Let us now solve the length of the remaining side
\(\begin{gathered} 2x-2=2(3)-2=6-2=4 \\ \therefore2x-2=4 \end{gathered}\)Therefore, the length of each leg is
\(3ft,4ft,5ft\)
1. Show (using graphing or substitution) or explain why she is correct.
Answers
9514 1404 393
Answer:
graph attached
Step-by-step explanation:
The attachment is a graph that shows Beyonce is correct.
__
By solving the system the two ways that she has, Beyonce has already shown her solution is correct by substitution. After finding the value of one variable, she substituted that into the system of equations to find the other variable. She did this for each of the variables.
Simplify the expression -5+9+(- 3/5)+1/5
Answers
Answer:
18/5
Step-by-step explanation:
hope this helps!!!
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and
mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of
each prize she can buy.
Answers
Answer:
1.25x + 1.5y=25
Step-by-step explanation:
let the number of lip balms that can be bought be x and the notebooks be y then their total cost is 1.25x + 1.5y. The total $25 there for the equation becomes 1.25x + 1.5y=25.
The required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
Given that,
Jung-Soon has $25 to spend on prizes for a game at the school fair. Lip balm costs $1.25 each, and mini-notebooks cost $1.50 each. Write a linear equation that can be used to determine how many of each prize she can buy is ot be determined.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
Here,
Let the number of lip balm that can be purchased be x, and the number of mini notebooks purchased be y,
according to the question,
1.2x + 1.50y = 25
Thus, the required linear equation can be used to determine how many of each prize she can buy is 1.2x + 1.50y = 25.
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Please answer thissssssssssssssss
Answers
87965/365=241
6546/9= 727.3333333
So, final result is
5*4*3=60
Hope it helps :)
What is 36/49−−√?
:)
Answers
Answer:
6/7 or 0.857
Step-by-step explanation:
√36/√49
note:6*6 is 36 7*7 is 49so 6 and 7 are the root respectively
Grace and Hannah are both driving along the same highway in two different cars to a stadium in a distant city. At noon, Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour. Let GG represent Grace's distance, in miles, away from the stadium tt hours after noon. Let HH represent Hannah's distance, in miles, away from the stadium tt hours after noon. Write an equation for each situation, in terms of t,t, and determine the number hours after noon, t,t, when Grace and Hannah are the same distance from the stadium.
Answers
Answer:
Step-by-step explanation:
Grace: -40t+250
Hannah: -54t+306
-40t+250 = -54t+306
SOLVE THE EQUATION ABOVE
t=4
The total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4 and this can be determined by forming the linear equations.
Given :
Grace is 250 miles away from the stadium and Hannah is 306 miles away from the stadium. Grace is driving along the highway at a speed of 40 miles per hour and Hannah is driving at speed of 54 miles per hour.The following steps can be used in order to determine the number of hours afternoon when Grace and Hannah are the same distance from the stadium:
Step 1 - According to the given data, 'G' represents Grace's distance, in miles, away from the stadium and 'H' represents Hannah's distance, in miles, away from the stadium.
Step 2 - The linear equation that represents Grace's distance from the stadium is:
\(G = 250-40t\)
Step 3 - The linear equation that represents Hannah's distance from the stadium is:
\(H = 306 - 54t\)
Step 4 - The value of 't' when Grace and Hannah are the same distance from the stadium is:
\(306-54t = 250-40t\)
Step 5 - Simplify the above expression.
\(56=14t\)
\(\rm t = 4\;hr\)
So, the total number of hours afternoon when Grace and Hannah are the same distance from the stadium is 4.
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What is the quotient of 8,688 ÷ 24?
Answers
Answer:
362
Step-by-step explanation:
Leticia bought a new tablet for $425. She had to pay a sales tax of 8%.
What was the amount of sales tax she paid on the tablet? Sales Tax: $
What was the total cost after sales tax that Leticia paid for the tablet? Total: $
Answers
Total: $459
Step to solve:
To find sale tax you would need to multiple 425, the cost of the tablet by 8% or 0.08 in decimal form to get the answer 34.
To find the total add the sale tax, 34, and the cost of the tablet, 425, to get the total, 459 dollars.
complete the invoice below. Clothing items with a unit price less than $50 are exempt from sales tax in the buyers state clothing items with the unit price of $50 or more are taxed at a rate of 6%. What is the total amount due on this invoice?
a. $1,998.54
b. $1,979.92
c. $2,098.51
d. $2,056.52
Answers
a) The completion of the invoice is as follows:
Quantity Description Unit Price Extension Total
3 Blazer jackets $59.99 $179.97
15 Printed T-shirts 19.99 299.85
10 Leather Bags 39.99 399.90
20 Handbags 55.00 1,100.00
Non-taxable total $699.75
Taxable total $1,279.97
Tax $76.80
Total Amount Due $2,056.52
b) The total amount due on this invoice, which the buyer must pay, is d. $2,056.52.
How the total amount due is computed:The computation of the total amount due by the buyer is as follows:
Quantity Description Unit Price Extension Total
3 Blazer jackets $59.99 $179.97 ($59.99 x 3)
15 Printed T-shirts 19.99 299.85 ($19.99 x 15)
10 Leather Bags 39.99 399.90 ($39.99 x 10)
20 Handbags 55.00 1,100.00 ($55.00 x 20)
Non-taxable total $699.75 ($299.85 + $399.90)
Taxable total $1,279.97 ($179.97 + $1,100)
Tax $76.80 ($1,279.97 x 6%)
Total Amount Due $2,056.52 ($699.75 + $1,279.97 + $76.80)
State sales tax = 6% on unit prices of items less than $50.
Thus, the sales tax is based on the blazer jackets and handbags, in computing the total amount due which is Option D.
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-7x > 10
Solve for x
Answers
Answer:
x > -10/7
Step-by-step explanation:
divide both sides by -7 and it will be x= -10/7
Water is falling on a surface, wetting a circular area that is expanding at a rate of 7 m m2/s. How
fast is the radius of the wetted area expanding when the radius is 1 8 3 m m ? (Round your answer to
four decimal places.
Answers
The radius of the wetted area expanding when the radius is 183 mm is 0.0061 m/s.
The formula for the area of a circle can be used to calculate the rate at which the radius of the wetted region is expanding:
A = πr²,
where A represents area and r represents radius.
By separating the two sides of the equation in relation to time (t), we obtain:
dA/dt = 2πr(dr/dt).
Given that dA/dt = 7 mm²/s, the following values can be substituted:
7 = 2π(183)(dr/dt).
Now that we know the pace at which the radius is expanding, we can solve for dr/dt:
dr/dt = 7 / (2π * 183).
As a result of computing this value,
dr/dt ≈ 0.006067 (rounded to four decimal places).
As a result, at a radius of 183 mm, the radius of the wetted region is expanding at a rate of about 0.0061 m/s.
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System analysts define an object's attributes during the systems design process. true or false?
Answers
The statement "System analysts define an object's attributes during the systems design process" is true because defining object attributes is an essential part of the systems design process to ensure that the system meets the desired functional requirements.
In systems design, objects are used to represent real-world entities that are relevant to the system being developed. These objects have attributes that describe their characteristics or properties, which are used to identify and manipulate them within the system. System analysts define these attributes during the systems design process to ensure that the system meets the desired functional requirements.
For example, in a library system, a book object may have attributes such as title, author, publisher, and ISBN. Defining these attributes helps ensure that the system can properly manage and retrieve books as needed. Object-oriented design is a popular approach to systems design that relies heavily on defining objects and their attributes.
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