The number of degrees of freedom for the Student's t-test of a population mean is always 1 less than the sample size.
The correct answer is (a) sample size. In the context of the Student's t-test, the degrees of freedom represent the number of independent observations available to estimate the population parameter. For a one-sample t-test, the sample size determines the number of observations used to calculate the test statistic.
In the t-test, we compare the sample mean to a hypothesized population mean and assess whether any difference observed is statistically significant. The degrees of freedom in the t-test are calculated as n - 1, where n is the sample size. Subtracting 1 accounts for the loss of one degree of freedom due to estimating the sample mean. This adjustment is necessary because the sample mean is used to estimate the population mean.
By reducing the degrees of freedom by 1, the t-distribution becomes more concentrated around the mean, which affects the critical values and the calculation of p-values. This adjustment is specific to the t-distribution and is a key difference from the normal distribution, where degrees of freedom are not involved.
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A parallelogram has a base of 9 units and an area of 12 square units. What is the corresponding height for that base?
Answer:
12x9
Step-by-step explanation:
12x9 equals ____ square units
stocks a and b each have an expected return of 12%, a beta of 1.2, and a standard deviation of 25%. the returns on the two stocks have a correlation of 0.6. portfolio p has 50% in stock a and 50% in stock b. which of the following statements is correct?
d. Portfolio P has a standard deviation that is less than 25%
This response is accurate because a portfolio made up of two stocks with a correlation of less than one will always have a standard deviation that is lower than the standard deviation of the stocks added in accordance with their weight in the portfolio. For example, in this scenario, both stocks have a weight of 50% and a standard deviation of 25%, so their sum will be.
The portfolio standard deviation will be smaller than 25% since (0.5*25%) + (0.5*25%) = 25%.
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28. Think About a Plan Draw AABC. Construct another
triangle so that the three sides of AABC are the
midsegments of the new triangle.
. Can you visualize or sketch the final figure?
• Which segments in your final construction will be
parallel?
DE is the segment parallel to the side BC. The triangles have sides AB, BC, and CA. D, E, and F are the three sides' midpoints.
What is the triangle?A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.
The sides of the triangles are AB, BC, and CA.The mid points of the three sides are D, E, and F.
The new triangle sides are DE, EF, and FD. We can visualize the triangle as DEF given in the attachment.
Hence, DE is the segment parallel to side B.
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Explain how you know the right triangles are similar.
Answer: You should ask an expert, or get a verified expert answer; but I will try my best you can visualize a triangle by plotting down x y in the shape of a triangle try evaluating the expression when you plot your right triangle.
Step-by-step explanation: to do this use what you have already learned about right triangles and visualize 3 different letters that correspond to numbers. (Don't use this answer unless you think it's correct). For I am not an expert
Ahora si tienes todos los insumos para poder completar la siguiente tabla o
frecuencias con la cual podras elaborar tus graficos estadisticos en torno a
percepción de discriminación de las personas encuestadas.
Veamos un ejemplo:
Frecuencia
Frecuencia
Rotativa (h)
Porcentual de
EVALUO MIS APRENDIZAJES
Las frecuencias son magnitudes que nos permiten representar valores de un fenómeno específico.
¿Qué es la frecuencia rotativa?La frecuencia rotativa es un término que se refiere a la cantidad de ciclos completados en un período de tiempo por un elemento que gira en su propio eje. La magnitud con la que se puede asociar la frecuencia rotativa depende de distintos factores, no obstante los más comunes suelen ser: segundos, minutos y horas. Algunos ejemplos de frecuencia rotativa es:
La rueda de mi bicicleta tiene una frecuencia rotativa de 50 giros por minuto.
¿Qué es la frecuencia porcentual?La frecuencia porcentual es un término que se refiere a la cantidad de elementos que tienen características similares por lo que pueden clasificarse en una categoría o clase similar. Por ejemplo, la frecuencia porcentual de personas con uniforme en mi escuela es del 90%.
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Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 74 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent
Seraphina's speed has increased by a factor of around 23% compared to the first hour.
What Is a Change in Percentage?
The ratio of the difference in the amount to its starting value multiplied by 100 is known as the percentage change. When a number's final value is determined by increasing or decreasing a percentage of its starting value, the percentage change of that quantity will always change.
How can you determine the percentage to the closest tenth?
Rounding to the closest tenth entails adding one integer after the decimal point. The number in the thousandths place, or the second number from the right of the decimal, must be considered while rounding. If the amount is five or more, we add one percent to the number in the tenth position.
Percent Change Formula = \(\frac{ (Final value -Initial value)}{ (Initial value)}\)× 100
Percent Change = \(\frac{(74-60)}{60}\)× 100
… = \(\frac{14}{60}\) × 100
... ≈ 0.23333 × 100
Percent Change ≈ 23.33%
The pace of Seraphina increased by around 23% in the second hour compared to the first.
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Find the measurement of angle x.
The measure of angle x in the right triangle is approximately 14.6 degrees.
What is the measure of angle x?The figure in the image is that of two right angles.
First, we determine the hypotenuse of the left-right angle.
Angle θ = 30 degrees
Adjacent to angle θ = 10 cm
Hypotenuse = ?
Using the trigonometric ratio.
cosine = adjacent / hypotenuse
cos( 30 ) = 10 / hypotenuse
hypotenuse = 10 / cos( 30 )
hypotenuse = \(\frac{20\sqrt{3} }{3}\)
Using the hypotenuse to solve for x in the adjoining right triangle:
Angle x =?
Adjacent to angle x = \(\frac{20\sqrt{3} }{3}\)
Opposite to angle x = 3
Using the trigonometric ratio.
tan( x ) = opposite / adjacent
tan( x ) = 3 / \(\frac{20\sqrt{3} }{3}\)
tan (x ) = \(\frac{3\sqrt{3} }{20}\)
Take the tan inverse
x = tan⁻¹( \(\frac{3\sqrt{3} }{20}\) )
x = 14.6 degrees
Therefore, angle x measures 14.6 degrees.
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-5 + (-5) =
What’s the answer ? Plsss helpp
Answer:
-10 is the right answer ........
Answer:
-10
Step-by-step explanation:
It is just saying negative five plus negative five which is negative ten!
The parenthesis is just for it to long more organized and for you to not think it is a subtraction sign.
Simplify the expression to a polynomial in standard form
(x - 1)(3x2 – 8x + 2)
Answer:
6x^3−9x^2−22x−8
Step-by-step explanation:
I D K how I got the answer my brother helped me
Answer: 3xx 2 −8x 2 +10x−3x 2 −2
Step-by-step explanation:(x−1)(3x2−8x+2)
Apply the distributive property by multiplying each term of x−1 by each term of 3x
2
−8x+2.
3xx
2
−8x
2
+2x−3x
2
+8x−2
Combine 2x and 8x to get 10x.
3xx
2
−8x
2
+10x−3x
2
−2
Hope this helps :)
how do you do this : 40% of 98 = _____
Answer:
39.2.
Step-by-step explanation:
Think of the word "of" as a sign that you have to multiply.
- Hope this helped you.
Answer:
39.2
Explanation:
To solve this problem, we must first convert the forty percent into a decimal
⟹ 40% = 0.40
Next, multiply forty percent (as a decimal) by ninety eight
⟹ 0.40 × 98 = ?
⟹ 0.40 × 98 = 39.2
Therefore, forty percent of ninety eight is 39.2.
The measure of an angle is 175. 5°. What is the measure of its supplementary angle?
If we have an angle equal to 175.5°, then its supplementary angle is equal to 4.5°.
To solve this problem we must know that an angle and its supplementary add up to 180º, that is, the following equality must be satisfied:
β + α = 180º
The measure of a supplementary angle is the difference between 180° and the given angle. In this case, the given angle is 175.5°. To find the measure of the supplementary angle, we will subtract 175.5° from 180°.
α = 180° - 175.5° = 4.5°
Therefore, the measure of the supplementary angle is 4.5°.
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Sand and gravel are mixed in the ratio 5:3
form ballast
a) How much gravel is mixed with 750kg of
sand?
b) How much sand is mixed with 750kg of
gravel?
Answer:
a) 450 gravel b)1250 sand
Step-by-step explanation:
:)
r+(−5r) does any one know yhe answer to this if es let me know thx=thank you
Answer: -4
Step-by-step explanation:
Combine r and −5r to get −4r.
dr/d (−4r)
The derivative of nax
is nax n−1 .
−4r 1−1
Subtract 1 from 1.
−4r0
For any term t except 0, t0
=1.
−4
Inga is solving 2x2 + 12x – 3 = 0. Which steps could she use to solve the quadratic equation? Select three options. 2(x2 + 6x + 9) = 3 + 18 2(x2 + 6x) = –3 2(x2 + 6x) = 3 x + 3 = Plus or minus StartRoot StartFraction 21 Over 2 EndFraction EndRoot 2(x2 + 6x + 9) = –3 + 9
By completing squares, we will see that the solutions of the given quadratic equation are:
x = -3 ± √(21/2)
How to solve the quadratic equation?
Here we know that Inga is solving the quadratic equation below:
2x² + 12x - 3 = 0
The steps that she can do is try to complete squares, first we can take the 2 as a common factor to get:
2(x² + 6x) - 3 = 0
Now we can add 18 in both sides, then we will get:
2(x² + 6x) - 3 + 18 = 18
We can put that 18 inside the first term:
2(x² + 6x + 9) - 3 = 18
And now we can complete squares, because:
x² + 6x + 9 = x² + 2*3*x + 3² = (x + 3)²
Replacing that we will get:
2(x + 3)² - 3 = 18
2(x + 3)²= 18 + 3 = 21
2(x + 3)² = 21
(x + 3)² = 21/2
x = -3 ± √(21/2)
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A can of soup has the shape of a cylinder.
The diameter of the base of the can is
3.4 inches, and the height of the can is
4.5 inches. What is the volume of the can
rounded to the nearest tenth of a cubic
inch?
Answer:
Step-by-step explanation:
Height h = 4.5 inches
Radius r = 3.4/2 = 1.7 inches
Area of base = πr² = 2.89π square inches
Volume of cylinder = πr²h = 2.89π4.5 = 13.0 cubic inches
Answer:
The answer is 40.8
Step-by-step explanation:
The volume of a cone equals the area of a circle multiplied by the height
\(v = \pi \times {r}^{2} \times h \\ = 3.14 \times 1.7 \times 1.7 \times 4.5 \\ = 40.8\)
A 138 inch pipe is cut into two pieces one piece is two times the length of the other. What is the lenfth of the shorter pipe?
Answer: 46 inches
Step-by-step explanation: the larger piece is 92 inches 92+46=138
If a cheetah travels 50 miles per day, how many feet per hour does the cheetah travel?
HELP FAST
26400 is what they travel in feet in a day divide that by 24 and that should be your answer
statistics the art and science of learning from data 4th edition
"Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
Statistics is the art and science of learning from data. It involves collecting, organizing, analyzing, interpreting, and presenting data to gain insights and make informed decisions. In the 4th edition of the book "Statistics: The Art and Science of Learning from Data," you can expect to find a comprehensive exploration of these topics.
This edition may cover important concepts such as descriptive statistics, which involve summarizing and displaying data using measures like mean, median, and standard deviation. It may also delve into inferential statistics, which involve making inferences and drawing conclusions about a population based on a sample.
Additionally, the book may discuss various statistical techniques such as hypothesis testing, regression analysis, and analysis of variance (ANOVA). It may also provide real-world examples and case studies to illustrate the application of statistical methods.
When using information from the book, it is important to properly cite and reference it to avoid plagiarism. Be sure to consult the specific edition and follow the guidelines provided by your instructor or institution.
In summary, "Statistics: The Art and Science of Learning from Data" (4th edition) is a valuable resource for understanding and applying statistical principles, providing insights into data analysis and decision-making processes.
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Help me please please I’ll give brainly
Answer:
the correct answer is B
Step-by-step explanation:
Answer:
the second choise is the answer
Please I need help with this
Step-by-step explanation:
The two triangles are similar so
BC=BC
AB=AB
AC=AC
1.)5z=20 (÷b.s by 5)
z=4
2.)8=2x+2
8-2=2x
6=2x (÷b.s by 2)
x=3
3.)3y-3=15
3y=15+3
3y=18. (÷ b.s by 3)
y=6
−1 4/5−(−2 7/8)
4 3/4−(−1 1/12)
−1 4/5−(−2 7/8)
3 1/3-5
−1/3−(−1/2
Answer:
1) 43/40
2) 35/6
3) 43/40
4) -5/3
5) 1/6
Step-by-step explanation:
1) -1 4/5 = -(1*5 +4)/ 5= -9/5
or 1= 5/5 so -1 4/5= -( 5/5+ 4/5)=-9/5
-2 7/8= -(2*8+7)/8=-23/8
=> -9/5 - ( -23/8)= -9/5 + 23/8 = (( -9*8)+(23*5))/40= (-72+ 115)/40
= 43/40
2) 4 3/4= (4*4+3)/4= 19/4
-1 1/12= -(1*12+1)/12= -13/12
=> 19/4 - (-13/12)= 19/4 + 13/12 = ((19*3)+13)/12= (57+13)/12= 35/6
3) same like 1)
4) 3 1/3 = (3*3+1)/3= 10/3
=> 10/3 -5= (10- 3*5)/3= (10-15)/3= -5/3
5) -1/3 + 1/2= ((-1*2)+(1*3))/6 = (-2+3)/6= 1/6
If Joliet has a pedometer that shows she has walked 1428350 paces so far this year. Her average pace length is 0.84 metres. How many kilometres has she walked this year?
Answer:
kilometers she has walked his year is 1199.814 km
i hope it helps
have a nice day
Step-by-step explanation:
What is the slope of the line through the points (4,10) and (2, 20)
100 points!!!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
The solution to the system of equations graphed below is,
⇒ (0, 1)
Since, We have to given that;
Two system of equations are,
⇒ g (x) = 3x + 2
⇒ f (x) = |x - 1| + 1
Here, The graph of both system of equation are shown in graph.
We know that;
In a graph, the solution of system of equation are represented by a intersection point of both graph.
Here, In the graph of system of equation,
Intersection point is,
⇒ (0, 1)
Hence, The solution to the system of equations graphed below is,
⇒ (0, 1)
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Which statements are true for the given geometric sequence? Check all that apply.
The domain is the set of natural numbers.
The range is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = Three-halves(f(x )) when f(1) = 4.
An explicit formula representing the sequence is
f(x) = 4(three-halves) Superscript x
The sequence shows exponential growth.
The statements are true for the given geometric sequence.
The domain is the set of natural numbers.
The recursive formula representing the sequence is f(x + 1) = 3/2(f(x )) when f(1) = 4.
The sequence shows exponential growth.
We have given the graph.
What is the geometric sequence?
A geometric sequence is a sequence in which the ratio of every two successive terms is a constant.
The graph is given below we can see that
The domain is the set of natural numbers.
The recursive formula representing the sequence is
f(x + 1) = 3/2(f(x )) when f(1) = 4.
The given graph grows exponentially.
The sequence shows exponential growth
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Answer:
a, c, e
The domain is the set of natural numbers.
The recursive formula representing the sequence is f(x+1) = Three-halves(f(x)) when f(1) = 4
The sequence shows exponential growth.
Step-by-step explanation:
A music website claims the mean length of their songs is 3.75 minutes. Suppose the length of songs from this website follows a Normal distribution with standard deviation 0.5 minutes. If 7 songs from this website are randomly selected, then there is about a 90% probability that the sample mean will fall in which interval
The confidence interval is from 3.44 to 4.06 minutes.
According to the statement
we have given that the mean length of songs is 3.75 minutes and standard deviation 0.5 minutes and the sample size n is 7. and the confidence interval is 90%
and we have to find the mean interval.
So, We know that the
A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.
And A margin of error is a statistical measurement that accounts for the difference between actual and projected results in a random survey sample.
We know that the z value for 90% confidence interval is 1.64.
so, The formula to calculate margin of error is
MOE = Z*standard deviation/ (n)^1/2
put the values in it
MOE = Z*standard deviation/ (n)^1/2
MOE = 1.64*0.5/ (7)^1/2
MOE = 1.64*0.189
MOE = 0.310
And to find the interval the formula is
Confidence interval = sample mean ± margin of error
Confidence interval = 3.75 ± 0.310
Confidence interval = (4.06,3.44)
So, The confidence interval is from 3.44 to 4.06 minutes.
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The volume of the Atlantic Ocean is about 3.1⋅10173.1 \cdot 10^{17}3.1⋅10173, point, 1, dot, 10, start superscript, 17, end superscript cubic meters. The Mississippi River has an annual flow of 6.3⋅10116.3 \cdot 10^{11}6.3⋅10116, point, 3, dot, 10, start superscript, 11, end superscript cubic meters. how many times would the annual flow of the mississippi river fit in the atlantic ocean? write your final answer in scientific notation, and round to two decimal places.
Answer: The annual flow of the Mississippi river would fit in the Atlantic ocean \(4.92\times10^5\) times.
Step-by-step explanation:
Given: Volume of Atlantic Ocean= \(3.1\times10^{17}\) cubic meters
Annual flow of Mississippi river = \(6.3\times10^{11}\) cubic meters.
then, the number of times the annual flow of the Mississippi river would fit in the Atlantic ocean = \(\dfrac{\text{ Volume of Atlantic Ocean}}{\text{Annual flow of Mississippi river}}\)
\(=\dfrac{3.1\times10^{17}}{6.3\times10^{11}}\ \ \=0.492063492063\times10^{17-11}\ \ [\dfrac{a^m}{a^n}=a^{m-n}]\\\\=0.492063492063\times10^6\approx4.92\times10^5\)
Hence, the annual flow of the Mississippi river would fit in the Atlantic ocean \(4.92\times10^5\) times.
Find the slope and the equation of the tangent line to the graph of the function at the given value of x. y=x 4
−10x 2
+9;x=1 The slope of the tangent line is (Simplify your answer.) The equation of the tangent line is
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
The slope of the tangent line to the graph of the function y = x^4 - 10x^2 + 9 at x = 1 can be found by taking the derivative of the function and evaluating it at x = 1. The equation of the tangent line can then be determined using the point-slope form.
Taking the derivative of the function y = x^4 - 10x^2 + 9 with respect to x, we get:
dy/dx = 4x^3 - 20x
To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative:
dy/dx (at x = 1) = 4(1)^3 - 20(1) = 4 - 20 = -16
Therefore, the slope of the tangent line is -16.
To find the equation of the tangent line, we use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Given that the point of tangency is (1, y(1)), we substitute x1 = 1 and y1 = y(1) into the equation:
y - y(1) = -16(x - 1)
Expanding the equation and simplifying, we have:
y - y(1) = -16x + 16
Rearranging the equation, we obtain the equation of the tangent line:
y = -16x + (y(1) + 16)
To find the slope of the tangent line, we first need to find the derivative of the given function. The derivative represents the rate of change of the function at any point on its graph. By evaluating the derivative at the specific value of x, we can determine the slope of the tangent line at that point.
In this case, the given function is y = x^4 - 10x^2 + 9. Taking its derivative with respect to x gives us dy/dx = 4x^3 - 20x. To find the slope of the tangent line at x = 1, we substitute x = 1 into the derivative equation, resulting in dy/dx = -16.
The slope of the tangent line is -16. This indicates that for every unit increase in x, the corresponding y-value decreases by 16 units.
To determine the equation of the tangent line, we use the point-slope form of a linear equation, which is y - y1 = m(x - x1). We know the point of tangency is (1, y(1)), where x1 = 1 and y(1) is the value of the function at x = 1.
Substituting these values into the point-slope form, we get y - y(1) = -16(x - 1). Expanding the equation and rearranging it yields the equation of the tangent line, y = -16x + (y(1) + 16).
The equation of the tangent line represents a straight line that passes through the point of tangency and has a slope of -16.
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The diagram shows two right-angled triangles that share a common side. 6 10. Show that x is between 11 and 12.
We have two right-angled triangles that share a common side, with side lengths 6 and 10. Let's label the sides of the triangles as follows:
Triangle 1:
Side adjacent to the right angle: 6 (let's call it 'a')
Side opposite to the right angle: x (let's call it 'b')
Triangle 2:
Side adjacent to the right angle: x (let's call it 'c')
Side opposite to the right angle: 10 (let's call it 'd')
Using the Pythagorean theorem, we can write the following equations for each triangle:
Triangle 1:\(a^2 + b^2 = 6^2\)
Triangle 2: \(c^2 + d^2 = 10^2\)
Since the triangles share a common side, we know that b = c. Therefore, we can rewrite the equations as:
\(a^2 + b^2 = 6^2\\b^2 + d^2 = 10^2\)
Substituting b = c, we get:
\(a^2 + c^2 = 6^2\\c^2 + d^2 = 10^2\)
Now, let's add these two equations together:
\(a^2 + c^2 + c^2 + d^2 = 6^2 + 10^2\\a^2 + 2c^2 + d^2 = 36 + 100\\a^2 + 2c^2 + d^2 = 136\)
Since a^2 + 2c^2 + d^2 is equal to 136, we can conclude that x (b or c) is between 11 and 12
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Can anyone help with this? I'm having some trouble.