Keyboards A and B are significantly different from one another
How to explain the informationThe F ratio has been found to be 4.30, equating to the MS between treatments divided by MS error resulting in a value of 2082/484. In order to seek out the critical value for F at an alpha level of 0.05 within degrees of freedom between treatments (2) and degrees of freedom error (3), we must consult the F-table, revealing it to be 5.14.
We reach the conclusion that rejecting the null hypothesis would not prove necessary as there appears to be no great significance when it comes down to the number of errors made with the three concerned keyboards.
Tukey's HSD signifies 2.0, indicating any distinction of means exceeding such scores is considered noteworthy. Calculating pairwise comparisons can enlighten us as to which keyboards are significant from one another:
Comparing Keyboard A versus Keyboard B: The difference was calculated using |25-6| / ✓(484/6*(1/6+1/6)) = 3.03, determining its significance surpassing Tukey's HSD (2.0).
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Which statement is true about the system x - 3y = 5 and y = x - 7?
• (8, 1) is a solution to one equation but not the other one, so it is a solution to the system.
• (8, 1) is not a solution to either equation, so it is not a solution to the system.
• (8, 1) is a solution to one equation but not the other one, so it is not a solution to the system.
• (8, 1) is a solution to both equations, so it is a solution to the system.
The solution to the given equation is ( 8 , 1 )
Given data ,
To determine whether (8, 1) is a solution to the system, we need to check whether it satisfies both equations:
x - 3y = 5: 8 - 3(1) = 5, which is true
y = x - 7: 1 = 8 - 7, which is true
Since (8, 1) satisfies both equations, it is a solution to the system. Therefore, the correct answer is:
Hence , (8, 1) is a solution to both equations, so it is a solution to the system
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f(x)=x^3-3x^2+2x+2. find f(-x).
Answer:Therefore, f(-x) = -x^3 - 3x^2 - 2x + 2.
Step-by-step explanation:o find f(-x), we replace every instance of x in the function f(x) with -x:
f(-x) = (-x)^3 - 3(-x)^2 + 2(-x) + 2
Simplifying, we get:
f(-x) = -x^3 - 3x^2 - 2x + 2
Helppp
The half-life of Radium-226 is 1590 years. If a sample contains 500 mg, how many mg will remain after 1000 years?---------
Using the exponential decay equation, we can see that after 1000 years we will have 178.43 mg of Ra₂₂₆
How much will remain after 1000 years?The decay of a radioactive substance, such as Radium-226, can be modeled by the exponential decay equation:
N(t) = N₀ * (1/2)^(t / T)
where:
N(t) is the amount of the substance remaining after time t
N₀ is the initial amount of the substance
t is the time elapsed
T is the half-life of the substance
Given that the half-life of Radium-226 is 1590 years and the initial amount is 500 mg, we can plug in these values into the equation and solve for N(1000), which represents the amount remaining after 1000 years.
N(1000) = 500 * (1/2)^(1000 / 1590)
N(1000) ≈ 178.43 mg
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what are the answers to these questions?
a) The function of h in terms of r is h=1400/(πr²).
b) The surface area of the can in terms of r is 2800/r+2πr².
c) The corresponding values of r and h that minimize the amount of required material are r≈14.04 cm and h≈2.98 cm.
a) The volume of a cylinder is given by
V = πr²h.
In this case, the volume of the can is
1400 cm³
So we have
1400 = πr²h.
Solving for h, we get
h = 1400/(πr²).
b) The surface area of a cylinder is given by
A = 2πrh+2πr².
Using the expression we obtained for h in part (a), we can substitute it in the equation and get
A = 2πr(1400/(πr²))+2πr²
= 2800/r+2πr².
c) To minimize the amount of required material, we need to find the value of r that minimizes the surface area.
To do this, we take the derivative of the surface area expression with respect to r and set it equal to zero:
dA/dr = -2800/r²+4πr = 0.
Solving for r, we get
r = √(700/π), which is approximately 14.04 cm.
Substituting this value in the expression for h that we obtained in part (a), we get
h = 1400/(π(14.04)²), which is approximately 2.98 cm.
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Jazmine has 3 dogs She wants to give each dog 2 treats. How many treats does she need to have total?
Answer: 6
Step-by-step explanation:
you just get those numbers and times them 3 times 2 is 6
Which expression is not equivalent to 2/3×4
The only expression that is not equivalent to the given fraction expression is: D (2 x 1/3) + (4 x 1/3)
How to multiply fractions?The correct procedure that we will use to multiply fractions is:
- find a common denominator
- multiply the numerators
- multiply the denominators
- Simplify if necessary.
- Add the numerators and add the denominators
Looking at the options and comparing with the given fraction multiplication problem 2/3 * 4, we see that only option D is not equivalent to it because:
(2 x 1/3) + (4 x 1/3) = 6/3 = 2
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Complete question is:
Which expression is NOT equivalent to 2/3 x 4
A (2x4) /3
B 1/3 x (2x4)
C (4 x 1/3) x 2
D (2 x 1/3) + (4 x 1/3)
Is c = 3 a solution to the inequality below?
122 c
yes
no
The value c = 3 is not a solution to the inequality
Checking if c = 3 is a solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
122 c
Express properly
So, we have
1 ≥ c
When this inequality is rewriiten. we have
c ≤ 1
This means that the values of c do not exceed 1
The number 3 exceeds 1
So, it means that c = 3 is not a solution to the inequality
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25 Points! Multiple choice algebra question. Photo attached. Thank you!
-2√48 simplified is:
-8√3.
-4√3.
No solution.
None of these choices are correct.
Answer:
-8√3
Step-by-step explanation:
[tex] - 2 \sqrt{48} \\ = - 2 \sqrt{16 \times 3} \\ = - 2 \sqrt{16} \times \sqrt{3} \\ = - 2 \times 4\sqrt{3} \\ = - 8 \sqrt{3} [/tex]
in the figure below, m JKM=106 degrees, m LKM=66, and KN bisects LKM. Find m JKN
The value of angle JKN is 73°.
Given that the m ∠JKM = 106 degrees, m ∠LKM = 66, and KN bisects LKM.
So we need to find the value of ∠JKN,
So, using the angles addition postulate,
∠LKM = ∠LKN + ∠MKN
Therefore,
∠LKN = 66/2 [definition of bisector]
∠LKN = 33°
Again, using the angles addition postulate,
∠JKM = ∠JKL + ∠LKM
∠JKL = 106 - 66
∠JKL = 40°
Therefore,
∠JKN = ∠JKL + ∠LKN
∠JKN = 40 + 33
∠JKN = 73°
Hence, the value of angle JKN is 73°.
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College Level Trig Question
Note tha given the above trigonometric expression, the solution is
x = 2π/3 or 4π/3
How did we arrive at that ?We will start by simplifing the equation by moving all the terms involving sin (x/2) to one side..
2sin (x /2) = √(3)
Then, we can solve for sin(x/2) by dividing both sides by two
sin (x /2) = √(3)/2
This is true when x/2 is π /3 or 2π/3, since these are the values where
sin ( π/3) = √(3)/2 and
sin (2π/3) = √(3)/2.
To find the values of x, we multiply these solutions by two
x = 2pi/3 or 4pi/3
Since we need to make sure that these solutions are in the given interval (0, 2π)
both solutions are in the interval, so our final answer is
x = 2π/3 or 4 π/3
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Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
Answer:
9ft
Step-by-step explanation:
From the left side, you know one length is 4ft abd the one below is 5ft, when you add them together its the answer of 9ft, which is the missing side.
it's 9ft
its 9ft because when you add 4 +5 you get 9. two rectangles a present in the diagram. the 4ft and 5ft are apart of the rectangle where the missing side is, adding those two together would give you 9 and in a rectangle sides facing each other are epual therefore the missing side is 9
8) If Bonnie can waterproof 450 square foot of decking with 2 gallons of sealant, she will need 6 gallons (10pts)
of sealant for 1200 square foot of decking.
True
O False
Answer:
FALSSOO
Step-by-step explanation:
lol srry I pretty sure its false I did teh math
Hope its right and it helps! c:
PLEASE HURRY
Let u = - 4i + 2j , v = 3i - j and w = - 6j
Find the specified scalar or vector
5u(3v - 4w)
The specified scalar or vector 5u(3v - 4w) is equal to -420i + 250j.
We can begin by distributing the scalar 5 to the vector 3v - 4w:
5u(3v - 4w) = 5u(3v) - 5u(4w)
Next, we can find the scalar multiples:
5u(3v) = 5(-4i + 2j)(3(3i - j)) = 5(-36i + 10j)
5u(4w) = 5(-4i + 2j)(4(-6j)) = 5(48i - 40j)
Now we can substitute these values back into the original expression:
5u(3v - 4w) = 5(-36i + 10j) - 5(48i - 40j)
Simplifying:
5u(3v - 4w) = -420i + 250j
Therefore, 5u(3v - 4w) = -420i + 250j.
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you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm
The rectangular block of wax can make approximately 2 candles.
How do we determine the number of candles that could be made by that block of wax?To calculate the number of candles, we use the formula
V of wax = l x w x h = 10 cm x 9 cm x 20 cm = 1800 cubic cm
V of candle = l x w x h = 9 cm x 9 cm x 12 cm = 972 cubic cm
1800 / 972 = 1.85
The above answer is based on the full question below;
you are melting a rectangular block of wax to make candles. how many candles of the given shape can be made using a block that measures 10 cm by 9cm by 20 cm.
The height of the candle is 12cm and the base width is 9cm
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What is deviance? Identify the term and provide an overview. Think of a time when you or a
friend used informal negative sanctions. To what act of deviance were you or your friend
responding? Did this reaction help maintain social control? Is it possible to function as a society
without the threat of physical violence to keep people under control? Why or why not?
Deviance is a term used in sociology to describe behavior that violates social norms or expectations. It refers to any behavior that is considered outside of the established rules and expectations of a society or culture.
What are informal negative sanctions?Informal negative sanctions are the social disapproval or punishment that people receive for violating social norms. An example of informal negative sanctions could be a group of friends ostracizing another friend for breaking a social rule, such as not showing up to a planned event.
In terms of the act of deviance, it could be anything from breaking a minor social norm to committing a serious crime. The reaction of informal negative sanctions is often an attempt to maintain social control by encouraging conformity to the established norms of the group or society.
While physical violence is not necessary to maintain social control, the threat of punishment is an important part of any functioning society. People follow the rules and norms of society because they know that if they do not, there will be consequences. However, it is important to note that violence and punishment should not be the only means of social control. Positive reinforcement, such as rewards for good behavior, can also be an effective way of encouraging conformity to social norms.
In summary, deviance refers to behavior that violates social norms, and informal negative sanctions are a way of enforcing social norms. The threat of physical violence is not necessary to maintain social control, but consequences for deviant behavior are essential for any functioning society.
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if a spinner has 2 blue, 2 green and 2 red what is the probability of landing on red when it is spinned
The probability of landing on red is given by the number of red sections divided by the total number of sections. In this case, there are 2 red sections out of a total of 6 sections. Therefore, the probability of landing on red is:
P(red) = 2/6 = 1/3
So the probability of landing on red is 1/3.
Jordan is tracking a recent online purchase. The shipping costs state that the item will be shipped in a 24-inch long box with a volume of 2,880 cubic inches. The width of the box is seven inches less than the height.
The volume of a rectangular prism is found using the formula V = lwh, where l is the length, w is the width, and h is the height.
Complete the equation that models the volume of the box in terms of its height, x, in inches.
Is it possible for the height of the box to be 15 inches?
also the question has 3 boxes
Answer:
Sure, I can help you with that.
Given:
* The box is 24 inches long.
* The width of the box is seven inches less than the height.
* The volume of the box is 2,880 cubic inches.
To solve:
* Complete the equation that models the box's volume in terms of its height, x, in inches.
* Determine if the height of the box can be 15 inches.
Solution:
Let's define the following variables:
* $h$ = the height of the box (in inches)
* $w$ = the width of the box (in inches)
* $l$ = the length of the box (in inches)
We are given that l=24 and w=h−7. We can use these values to find the volume of the box:
[tex]V = lwh = 24(h - 7)h[/tex]
We can simplify this expression to get the following equation:
[tex]V = 24h^2 - 168h[/tex]
To determine if the height of the box can be 15 inches, we can substitute 15 for $h$ in the equation and see if we get a positive value for the volume.
[tex]V = 24(15)^2 - 168(15) = 2160 - 2490 = -330[/tex]
Since the volume is negative, the height of the box can't be 15 inches.
Therefore, the equation that models the box's volume in terms of its height, x, in inches is [tex]$V = 24x^2 - 168x$[/tex]. Consequently, the size of the box can't be 15 inches.
Answer:
Yes
Step-by-step explanation:
The only answer is height = 15 because the -8 will be rejected
if an avocado is 1$ per pound how many is it for 9 pounds?
If an avocado costs $1 per pound, the cost of 9 pounds, using multiplication, is $9.
What is multiplication?Multiplication is one of the four basic mathematical operations, including addition, subtraction, and division.
Multiplication involves the multiplicand, the multiplier, and the product.
The cost per pound of an avocado = $1
The total quantity considered = 9 pounds
Proportionately, the total cost of 9 pounds = $9 ($1 x 9)
Thus, based on multiplication operation, the total cost of 9 pounds is $9.00.
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In AABC, AB=32, AC= 22, and BC= 20. What is mZA?
m
(Do not round until the final answer. Then round to the nearest tenth as needed.)
The value of measure of ∠A would be,
⇒ ∠ A = 38.68 degree
We have to given that;
In triangle ABC,
AB=32, AC= 22, and BC= 20
Hence, We can formulate;
⇒ sin A = BC / AB
⇒ sin A = 20 / 32
⇒ sin A = 0.625
⇒ A = 38.68 degree
Thus, The value of measure of ∠A would be,
⇒ ∠ A = 38.68 degree
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(x+3) (x-1)squared
????
Answer:
x^3 + x^2 - 5x + 3
Find the length of the missing side
Answer:
x = 45°
Because there are 180° in a triangle
On Saturday, the temperature was 75.5°F. The temperature rose by 6°F on Sunday, then dropped by 3.5°F on Monday. What was the temperature, in degrees Fahrenheit, on Monday?
Answer:
78°F
Step-by-step explanation:
If the temperature was 75.5°F, and it rose by 6°F on Sunday, then the temperature on Sunday was:
75.5°F + 6°F = 81.5°F
If the temperature on Sunday was 81.5°F, and it dropped by 3.5°F on Monday, then the temperature on Monday was:
81.5°F - 3.5°F = 78°F
Therefore, the temperature on Monday was 78°F.
thickness of piece of metal in m. 0.00053
The thickness of the said metal piece is 560 micrometers
How to solveSolving this question would require us to switch the thickness of the metal from meters to micrometers.
So, 1 meter is equivalent to 1,000,000 micrometers; and when 0.00053 meters is multiplied by 1,000,000, we get:
0.00053 m * 1,000,000 = 560 µm
Consequently, the thickness of the said metal piece is 560 micrometers.
A metal piece's thickness is defined as the distance, measured perpendicular to its opposing surfaces, between those surfaces. It is a crucial aspect in determining the strength and longevity of the metal object and is often stated in length measures like millimeters, inches, or micrometers.
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What is the thickness of the metal piece in micrometers, given that it is 0.00053 meters thick?
Hey I was wondering if anyone can help me solve this and maybe graph it to.
The line described by y = 3/4x+5 is tangent to a circle at the point (0, 5). The line described by 3x + 4y = 38 is tangent to the same circle at the point (6, 5). Find the equation of the circle.
The equation of the circle is determined as (x + 3)² + (y - 9)² = 25.
What is the equation of the circle?The equation of the circle is calculated as follows;
For the equation;
y = 3/4x+5
Slope = 3/4, the slope of the line perpendicular to the line = -4/3.
it is pass through the (0, 5).
The equation of the line: y - 5 = -4x/3
For the equation;
3x + 4y = 38
4y = -3x + 38
y = -3x/4 + 38
slope = -3/4, the slope of the line perpendicular to the line = 4/3
it is pass through the (6, 5)
The equation of the line: y - 5 = 4/3(x - 6)
Solve the two equations together to find the point of intersection;
(-4/3)x + 5 = (4/3)(x - 6) + 5
-4x/3 = 4x/3 - 8
8x/3 = -8
8x = -24
x = -3
y - 5 = -4x/3
y - 5 = -4(-3)/3
y - 5 = 4
y = 9
The center of the circle = (-3, 9)
The radius of the circle is calculated as;
r = √ (-3 -0)² + (9 - 5)²
r = √(9 + 16)
r = 5
The equation of the circle becomes;
(x - a )² + (y - b)² = r²
(x + 3)² + (y - 9)² = 5²
(x + 3)² + (y - 9)² = 25
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please help with these questions it's due tommore
7:
To find 6% of 45.50=
0.06x45.50= 2.73
and than 17% of 45.50
0.17x45.50= 7.735
so add 2.73 and 7.735= 10.465
than add 10.465 to $45.50 = $55.965 So the answer is $55.965.
8:
again the same thing but with the different numbers.
0.06x105.75= 6.345
0.20x105.75= 21.15
21.15+6.345= 27.495
so than 105.75-27.495= $78.255
9:
same thing again
146.75x0.25= 36.6875
0.09x146.75= 13.2075
But this time add the tax (13.2075)= 146.75+13.2075= 159.9575
but than you subtract the discount which is 25% so 159.9575-36.6875=123.7
So that is the price! $123.7
I hope that helps!
Find the horizontal asymptotes and vertical asymptotes of the function [tex]k(x)= \frac{3x^{2} }{(x+1)(x-4)}[/tex]
the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.
what is vertical asymptotes ?
Vertical asymptotes are vertical lines on a graph where a function approaches infinity or negative infinity as the input (x) approaches a certain value. In other words, vertical asymptotes occur when the denominator of a function becomes zero and the function is undefined at that point
In the given question,
To find the horizontal and vertical asymptotes of the function f(x) = 3x²/[(x+1)(x-4)], we need to analyze the behavior of the function as x approaches infinity or negative infinity and as x approaches the vertical asymptotes (if any).
Vertical asymptotes occur at the values of x that make the denominator of the fraction equal to zero. In this case, we have vertical asymptotes at x = -1 and x = 4.
To find the horizontal asymptote, we need to divide the leading term of the numerator by the leading term of the denominator when x approaches infinity or negative infinity. Since the degree of the numerator is greater than the degree of the denominator, there is no horizontal asymptote. However, we can use long division or synthetic division to write the function in the form of a polynomial plus a proper fraction:
f(x) = 3x²/[(x+1)(x-4)] = (3x + 15)/(x² - 3x - 4)
As x approaches infinity or negative infinity, the fraction approaches the value of 3/1 (the ratio of the leading terms of the numerator and denominator), but there is no horizontal asymptote.
Therefore, the vertical asymptotes are x = -1 and x = 4, and there is no horizontal asymptote.
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Please help!!!!!!!!!!!
Solve for X
Find the measure of each angle using the solution to part C
the coordinate (-1,0) (1,0) and (0,1) form the vertices of a square true or false
Since the line splits the square into two regions with equal area, it goes through center of square.
Equation of line through point (12,12)
with slope 5
y−12=5(x−12)
y=5x−2
y-intercept=(0,−2)
Since line passes through points (0.4,0)
and (0.6,1)
it divides both the bottom and top of squares in the same ratio, to that the line divides the square into 2
trapezoids with height =1
and bases =0.4
and 0.6
. Therefore, they have the same area.
The figure below is a net for a triangular prism. What is the surface area of the triangular prism, in square meters?
The surface area of the triangular prism is given as follows:
S = 549.15 m².
How to calculate the surface area?The surface area of a prism is given by the sum of the areas of all the parts that compose the prism.
The prism for this problem is composed as follows:
Rectangle of dimensions 15 m and 13 m.Rectangle of dimensions 15 m and 15.81 m.Two right triangles of sides 9 m and 13 m.Hence the surface area is obtained as follows:
S = 15 x 13 + 15 x 15.81 + 2 x 0.5 x 9 x 13
S = 549.15 m².
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The triangular prism's surface area is given as follows:
S = 549.15 m².
The total area of all the prism's component components determines the prism's surface area.
The following is the structure of the prism for this issue:
rectangle with 15 and 13 meter sides.
rectangle with measurements of 15 and 15.81 meters.
two right triangles with 9 and 13 meter sides. So, the following is how the surface area is determined:
S is equal to 15 x 13 plus 15 x 15.81 and 2 x 0.5 x 9 x 13
S = 549.15 m².
