How do you find the critical value of t-distribution?
Answers
To find the critical value of a t-distribution, you need to know the level of significance (alpha) and the degrees of freedom (df) associated with the particular t-distribution.
The critical value of a t-distribution is the value at which the probability of obtaining a t-statistic as extreme or more extreme than that value is equal to the level of significance alpha. This value is found using a t-table or a statistical software program.
Here are the steps to find the critical value of a t-distribution:
Determine the level of significance (alpha) for the hypothesis test.Determine the degrees of freedom (df) for the t-distribution.Determine whether the hypothesis is one-tailed or two-tailed. This will determine whether you need to use the upper or lower end of the t-distribution.Look up the critical value in a t-table or use a statistical software program to find the critical value. Make sure you use the appropriate row for the degrees of freedom and a column for the level of significance. If the hypothesis is one-tailed, you only need to look up one critical value. If the hypothesis is two-tailed, you will need to look up two critical values (one for each tail).For example, let's say we have a two-tailed hypothesis test with a level of significance of 0.05 and 10 degrees of freedom. Using a t-table, we can find the critical values for this test to be approximately -2.228 and 2.228.
Note that the critical value of a t-distribution is used to determine whether to reject or fail to reject the null hypothesis in a hypothesis test. If the calculated t-statistic falls within the critical region, we reject the null hypothesis, otherwise, we fail to reject the null hypothesis.
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Related Questions
passes through (-2, 1) and (2, -5)
I need to find the y=mx+b
Answers
Answer:
\(y = (-3/2)\, x + (-2)\).
Step-by-step explanation:
If \((x_{0},\, y_{0})\) is on the equation of the line \(y = m\, x + b\), then substituting \(x = x_{0}\) and \(y = y_{0}\) into the equation would still give an equality: \(y_{0} = m\, x_{0} + b\).
In this question, since \((-2,\, 1)\) is a point on the line \(y = m\, x + b\), equality shall still hold after substituting in \(x = (-2)\) and \(y = 1\):
\(1 = m\times (-2) + b\).
Similarly, since \((2,\, -5)\) is a point on this line, equality shall still hold after substituting in \(x = 2\) and \(y = (-5)\):
\((-5) = m\times 2 + b\).
The unknowns of both equations are \(m\) and \(b\).
Solve this system of two equations and two unknowns:
\(\left\lbrace\begin{aligned}& (-2)\, m + b = 1\\ & 2\, m + b = (-5)\end{aligned}\right.\).
\(\left\lbrace\begin{aligned}& m = -\frac{3}{2} \\ & b = -2\end{aligned}\right.\).
Therefore, the equation of this line would be:
\(y = (-3/2)\, x + (-2)\).
A number is increased by 2 and then multiplied by 3. The result is 24. What is this number
Answers
Answer:
The answer is 6.
Step-by-step explanation:
To find this answer, divide 24 by 3 and you get 8. 8 minus 2 is 6.
A model of a volcano that is 22 cm tall with a volume of 586.7 cubic centimeters. what is the area of the base of the model? round the answer to the nearest tenth. 26.7 centimeters squared 80.0 centimeters squared 1,760.1 centimeters squared 4,302.5 centimeters squared
Answers
This is a rather simple question, all it’s asking you to do is divide the volume by the height.
586.7 divided by 22 is approximately 26.7, when rounded tot he nearest tenth.
if f(x) x2[f(x)]3 = 10 and f(1) = 2, find f '(1). f '(1) =
Answers
The value of derivative f '(1) = 21/10
To find f '(1), we need to use the chain rule and differentiate both sides of the equation with respect to x. Let's first simplify the equation by combining the powers of f(x):
x²[f(x)]³ = 10 becomes [x(f(x))]² = 10^(1/3)
Now, taking the derivative with respect to x, we get:
2[x(f(x))] * [1f'(x) + xf''(x)] = 0
At x = 1, we have:
2[1f(1)] * [1f'(1) + 1f''(1)] = 0
Plugging in f(1) = 2 and simplifying, we get:
2f'(1) + 2f''(1) = 0
Solving for f'(1), we get:
f'(1) = -f''(1)
Now, to find f''(1), we can use the equation we derived earlier:
2[x(f(x))] * [1f'(x) + xf''(x)] = 0
Plugging in x = 1 and f(1) = 2, we get:
4[f'(1) + f''(1)] = 0
Solving for f''(1), we get:
f''(1) = -f'(1)
Substituting this into the previous equation, we get:
f'(1) = -f''(1) = f'(1)
Therefore, f'(1) = 21/10. This means that the slope of the tangent line to the curve f(x) at x = 1 is 21/10.
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Your basketball team wins a game by 13 points. The opposing team scores 72 points. Explain how to find your team’s score.
Answers
Answer:
85
Step-by-step explanation:
You can set this up as an algebraic equation by assigning variables to each part of the question. So you could say Y - 13 = 72 If you are in middle school they will expect all that.
If you want the easy way you could say, 72 + 13= 85 because we beat you by 13 and you only scored 72 points. So I add 13 to their lame score and we get my great score.
Answer:
the answer is 85
Step-by-step explanation:
rename 11/5 as a mixed answer
Answers
Answer:
\(2\frac{1}{5}\)
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be \(2\frac{1}{5}\).
let g be a group and n g, g/n=z/5z and n=z/2z prove g is abelian
Answers
anbn = bn(an) for arbitrary elements a and b in g, we conclude that g is an abelian group (commutative).
To show that g is abelian, we need to demonstrate that for any two elements a and b in g, their product ab is equal to ba.
Let's consider two arbitrary elements a and b in g. Since n = z/2z, we have n^2 = e, where e is the identity element in g. Thus, we can write n^2 = (z/2z)^2 = z^2/(2z)^2 = z^2/(4z^2) = z/4z = e.
Now, let's examine the element ng = g/n = z/5z. Since n^2 = e, we can rewrite ng as g/n = g/n^2 = g/n * n = gn.
Using the properties of ng and n, we can manipulate the expression ab as follows:
ab = ab * e = ab * (n^2) = (ab * n) * n = (an) * (bn) = (an)(bn) = anbn.
Similarly, we can rewrite ba as ba = ba * e = ba * (n^2) = (ba * n) * n = (bn) * (an) = (bn)(an) = bn(an).
Since anbn = bn(an) for arbitrary elements a and b in g, we conclude that g is an abelian group (commutative).
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About how long will it take for the number of species born in captivity to be equal to the number of species remaining in the wild?
Answers
It would take about 56 years for the number of species born in captivity to be equal to the number of species remaining in the wild.
How to determine the equation for the number of species born in captivity?Based on the graph, we would determine the constant of proportionality (k) by using the various data points from table D as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 100/5 = 200/10
Constant of proportionality, k = 20
Therefore, the required linear function is given by;
C = kt
C = 20t
Next, we would equate the two functions and solve using natural logarithms as follows;
\(20t=20000(0.95)^t\\\\t=1000(0.95)^t\)
t = 56.14 ≈ 56 years.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
At a concert, the organizer ditributed out 1050 paper fan, 1575 glow tick and 3150 ticker to the participant. All the participant had the equal number of each of the item. Find the larget number of participant for the concert
Answers
The largest number of participants at the concert was 4.
To determine the largest number of participants at the concert, we need to find the least common multiple (LCM) of 1050, 1575, and 3150. The LCM is the smallest positive integer that is a multiple of all three numbers.
The prime factorization of 1050 is 2 * 3 * 5 * 5 * 7.
The prime factorization of 1575 is 3 * 5 * 5 * 11.
The prime factorization of 3150 is 2 * 3 * 5 * 5 * 7 * 11.
The LCM of 1050, 1575, and 3150 is therefore 2 * 3 * 5 * 5 * 7 * 11 = 31500.
Since each participant received one of each item, the largest number of participants at the concert was
31500 / (1050 + 1575 + 3150) = 31500 / 7775 = 4.
Therefore, the largest number of participants at the concert was 4.
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true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
Answers
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
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dose anybody know this? could you provide the step by step
Answers
Select the correct answer from each drop-down menu. Find the average rate of change of the function f(x), represented by the graph, over the interval [-4, -1]. Average rate of change plotted on coordinate plane linear graph. A solid boundary line intersects X-axis at unit minus 2.5 and Y-axis at unit 5. The Y-value for x= minus 1 is 3 and for x= minus 4 is minus 3. Calculate the average rate of change of f(x) over the interval [-4, -1] using the formula . The value of f(-1) is . The value of f(-4) is . The average rate of change of f(x) over the interval [-4, -1] is .
Answers
The average rate of change of f(x) over the interval [-4, -1], with coordinates, (-4, -3) and (-1, 3) is 2
How can the average rate of a function over an interval be found?The average rate of change of a function over an interval is found from the change in the output values of the function over the period indicated, divided by the change in the input values of the function over the specified interval.
Average rate of change = \(\dfrac{\Delta y}{\Delta x}\)
The interval over which the average rate of change of the function is required = [-4, -1]
The formula for the average rate of change over the interval, [-4, -1], can be presented as follows;
Average rate of change = \(\dfrac{\Delta y}{\Delta x}\) = \(\dfrac{f(-1) - f(-4)}{\left(-1 - (-4)\right)}\)
The coordinates of the points of the graph of the function in the indicated range are; (-1, 3), and (-4, -3)
f(-1) = 3, f(-4) = -3, therefore;
Average rate of change = \(\dfrac{3 - (-3)}{-1 - (-4)}\) = 2
The average rate of the function over the specified interval is 2
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If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?___ adults ___ children
Answers
If 152 people attend and tickets for adults cost $3.5 while tickets for children cost 1.5 and total receipts for tbe concert was $380, how many of each went to the concert?
___ adults
___ children
Let
x -------> number of adults
y -----> number of children
we have
x+y=152
isolate variable x
x=152-y ------> equation A
3.5x+1.5y=380 ------> equation B
substitute equation A in equation B
3.5(152-y)+1.5y=380
solve for y
532-3.5y+1.5y=380
3.5y-1.5y=532-380
2y=152
y=76
Find the value of x
x=152-y
x=152-76
x=76
therefore
76 adults 76 children I NEED HELP!!! ASAP!!!!
What is the value of x in the diagram below?
18/√3
18√2/ √3
18√3/ √2
18√2
Answers
I hope this helps you
at the 30-60-90 triangle has rules
30=>k
60=>k(square root of) 3
90=>2k
so in this triangle 60=> see 9
k(square root of) 3=9
k=9/(square root of) 3
2k=18/(square root of) 3
at the 45-45-90 triangle rules are
45=>2k
45=>2k
90=>[2k/(square root of 3)] (square root of) 2
x=[18/(square root of 3)].(square root of 2)
x=18(square root of 2)/square root of 3
"Demetrius' local cell phone company charges for how much data he uses each month. The first 10 GB of data he uses costs $3 per GB. Once he exceeds the 10 GB, the company then charges $15 for each GB after. "
Answers
Given:
The first 10 GB of data costs $3 per GB.
After exceeds 10 GB, the company charges $15 for each GB.
Required:
We need to find the function for the given situation.
Explanation:
Let x be the number of GB that "Demetrius' used.
Let f(x) be the cost.
The first 10 GB of data costs $3 per GB.
\(\text{The first 10 Gb can be written as }0\leq x\leq10.\)\(f(x)=3x\text{ if }0\leq x\leq10.\)After exceeding 10 GB, the company charges $15 for each GB
\(After\text{ exceeding 10 GB can be written as }x>!0\)\(f(x)=15x\text{ if }x>10\)Final answer:
\(f(x)=\begin{cases}{3x\text{ if }0\leq x\leq10.} \\ {15x\text{ if }x>10.}\end{cases}\)5. Gina performed an experiment by rolling small steel balls of different masses down a
ramp and recording the distance that each ball rolled.
Gina wants to draw a line of best fit to represent the data. Through which two points
should she draw the line?
Answers
Answer:
the answer is h and L
Step-by-step explanation:
Find the measures of the angles in the figure
50, 50, 100, 100
50, 50, 130, 130
60, 60, 120, 120
65, 65, 115, 115
Answers
We can use different measures and properties of angles to determine the measures of angles in different types of polygons.
To find the measures of the angles in each figure, we need to remember the properties of angles in different types of polygons.
For the first figure, we can see that it is a trapezoid, and we know that the angles on the same side of the base of a trapezoid add up to 180 degrees. Therefore, the measures of the angles are 50, 50, 130, and 130 degrees.
For the second figure, we can see that it is a kite, and we know that the two angles between the congruent sides are equal, and the two angles between the non-congruent sides are also equal. Therefore, the measures of the angles are 50, 50, 130, and 130 degrees.
For the third figure, we can see that it is a regular hexagon, and we know that the interior angles of a regular hexagon add up to 720 degrees. Therefore, each angle measures 120 degrees.
For the fourth figure, we can see that it is a rhombus, and we know that the angles of a rhombus are equal. Therefore, each angle measures 115 degrees.
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multiple choice pls help!
Answers
Answer:
\(\frac{15}{17}\)
Step-by-step explanation:
sine = \(\frac{oppositex}{hypotenuse}\)
since A = \(\frac{15}{17}\)
A student wants to describe the function graphed on the coordinate plane.
Which characteristics describe the function correctly?
Answers
If one-half of a number is 8 less than two-thirds of the number, what is the number?how?
1)24
2)32
3)48
4)54
Answers
Answer:
THEY CALL ME BIG BRAIN JOHNNY
Step-by-step explanation:
8 divide 2 equal 4 times 3 equals 12 times 2 equals 24
BOOM
For the boxplot
What percent of the students are above 75%?
A: 75%
B: 25%
C: 50%
D: 0%
Answers
Answer:
0%
Step-by-step explanation:
the dots don't surpass 75% so 0% is the answer
4. Find the lateral surface area of the cylinder.
Round to nearest hundredth.
22 ft.
6 ft.
Answers
Answer: The lateral surface area of the cylinder can be found using the formula: πr h, where r is the radius and h is the height of the cylinder.
Given that the height of the cylinder is 22 ft, and the diameter is 6 ft, the radius can be found by dividing the diameter by 2: r = 6 / 2 = 3 ft.
So the lateral surface area of the cylinder is: πr h = π * 3 * 22 = 66 * π ≈ 208.36 sq ft.
Rounding to the nearest hundredth, the lateral surface area of the cylinder is 208.36 sq ft.
Step-by-step explanation:
i need help with #2 and #6 pleaseeeeee
Answers
Answer:
Area of the rectangle = x² - 3x - 10
2019
Step-by-step explanation:
Length of the rectangle = x + 2
Width of the rectangle = x - 5
Area of the rectangle = length × width
= (x + 2) (x - 5)
= x² + 2x - 5x - 10
= x² - 3x - 10
Area of the rectangle = x² - 3x - 10
C = 20t² + 135t + 3050
Where
C = the number of new cars
t = year the number of new cars was purchased
t = 0 corresponds to 1998
Find the when c = 15,000
C = 20t² + 135t + 3050
15,000 = 20t² + 135t + 3050
20t² + 135t + 3050 - 15,000 = 0
20t² + 135t - 11,950 = 0
4t² + 27t - 2390 = 0
Solve using quadratic equation
t = -b ± √b² - 4ac / 2a
= -27 ± √27² - 4(4)(-2390) / 2(4)
= -27 ± √729 -(-38240) / 8
= -27 ± √729 + 38240 / 8
= -27 ± √38969 / 8
= -27/8 + √38969/8 or 27/8 - √38969/8
= -3.375 + 197.41/8 or -3.375 - 197.41/8
= -3.375 + 24.67625 or -3.375 - 24.67625
t = 21.30125 or - 28.05125
t cannot be negative
Therefore,
t = 21.30125
To the nearest whole number
t = 21
Recall,
t = 0 corresponds to 1998
Therefore
1998 + 21 = 2019
c = 15,000 in the year 2019
HELP ASAP BRAINLIEST FOR CORRECT ANSWER!
f(x) = x-7
What is the value of x when f(x) = 3? Enter the answer in the box.
h
Answers
please someone I need the right answer will give brainiest if right
Answers
Answer:
C. Because (-3)^2 is NOT equal to -9
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
√-9 is 3i.
Since there is a negative in the root, you can't have a regular number as the answer.
It askes why -3 is not the answer. Because -3 squared is 9, not -9.
HELP ME PLEASE SOLVE FAST!!!!!!! I AM DESPERATE AND IT IS 3 A.M.!!!!!
Answers
-2(v – 7) – 8v(-2v – 8)
Answers
Answer:
= 16v^2+62v+14
Step-by-step explanation:
I recommend you using the website "Symbolab Algebra Calculator". It will really help you.
which problem shows a correct way to divide 7,392 by 24?
Answers
Answer:
24Г7392 is the correct answer
Determine whether the graphs of each pair of equations are parallel, perpendicular or neither: y = 3x + 4 y =-Ax + 1 y = 3x + 7 4y =x+ 3 y = 2x - 5 y =-1/3x + 2 y = 5x - 5 y = 3x - 5 y = 3/5x - 3 y=4 Sy = 3x - 10 4y = 6 7 .y= 7x + 2 y = 5/6x - 6 x+Zy = 8 x + Sy = 4
Answers
For
Example 1: Pair of lines are parallel.
Example 2: Pair of lines are perpendicular.
Example 3: Pair of lines are not parallel nor perpendicular.
Example 4: Pair of lines are perpendicular.
Example 5: Pair of lines are parallel.
Example 6: Pair of lines are parallel.
Example 7: Pair of lines are perpendicular.
Example 8: Pair of lines are not parallel nor perpendicular.
What is the slope of the line in the slope-intercept form of the line?
If y = mx + c line is given then 'm' represents the slope of the line. If any pair of lines are given and if they have the same value of the slopes then we can say that the given pair of lines will be parallel in nature and if the slope of the one line is the negative inverse of the other line then we can say that the pair of lines are perpendicular to each other.
For example 1:
y = 3x + 4 and y = 3x +7
The slopes of both lines are equal hence, these pair of lines are parallel.
For example 2:
y = -4x + 1 and 4y = x + 3
Here, the slope of one line is the negative inverse of the other line hence this pair of lines are perpendicular to each other.
For example 3:
y = 2x - 5 and y = 5x -5
In this, the slopes are not equal so we can say that the graph of this pair of equations is not parallel nor perpendicular.
For example 4:
y = -1/3x + 2 and y = 3x - 5
Here, the slope of one line is the negative inverse of the other line hence this pair of lines are perpendicular to each other.
For example 5:
y = 3/5x - 3 and 5y = 3x - 10
The slopes of both lines are equal hence, these pair of lines are parallel.
For example 6:
y = 4 and 4y = 6
The slopes of both lines are equal hence, these pair of lines are parallel.
For example 7:
y = 7x + 2 and x + 7y = 8
Here, the slope of one line is the negative inverse of the other line hence this pair of lines are perpendicular to each other.
For example 8:
y = 5/6x - 6 and x + 5y = 4
In this, the slopes are not equal so we can say that the graph of this pair of equations is not parallel nor perpendicular.
Hence,
Example 1: Pair of lines are parallel.
Example 2: Pair of lines are perpendicular.
Example 3: Pair of lines are not parallel nor perpendicular.
Example 4: Pair of lines are perpendicular.
Example 5: Pair of lines are parallel.
Example 6: Pair of lines are parallel.
Example 7: Pair of lines are perpendicular.
Example 8: Pair of lines are not parallel nor perpendicular.
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PLZ help with answer! See attachment:
Answers
Answer:
4:5
Step-by-step explanation:
hope this helps