Steps by explanation:
for second one
centroid ={(1+3+5)/3,(2+4+0)/3}=(9/3,6/3)
=(3,2)
A telephone poll of an SRS of 1234 adults found that 62% are generally satisfied with their lives. The announced margin of error for the poll was 3%. Does the margin of error account for the fact that some adults do not have telephones
Answer:
No. The margin of error only includes sampling variability.
Step-by-step explanation:
The margin of error would be considered for the sampling error
In the case when some adults does not have telephones so it is called as error selection bias this is not a sampling error
The selection bias, unresponse bias and the response would be the examples of an error but it is not a sampling errors
So there is no margin of error as it only involved the variability in the sampling
What is equivalent to 2(1-x)+3x
Answer:
2(1-x)+3x = 2-x
Step-by-step explanation:
Distribute 2 to 1 and -x ---> (2-2x)+3x
Combine Like Terms ---> 2-x
So 2(1-x)+3x = 2-x
What is the equation of the line that passes through the point (2,7) and has a slope
of 6?
Answer (assuming it can be in point-slope form):
\(y-7 = 6(x-2)\)
Step-by-step explanation:
Use the point-slope formula \(y-y_1 = m (x-x_1)\) to write the equation of the line in point-slope form. All you need to do is substitute \(m\), \(x_1\), and \(y_1\) for real values.
Since \(m\) represents the slope, substitute 6 in its place. Since \(x_1\) and \(y_1\) represent the x and y values of one point the line intersects, take the x and y values of (2,7) and substitute them into the formula as well. So, substitute 2 for \(x_1\) and 7 for \(y_1\). This gives the following equation and answer:
\(y-7 = 6(x-2)\)
what is the value of x:
Answer:
100
Step-by-step explanation:
In a 45-45-90 triangle, the hypotenuse is always larger than either of the legs by a factor of \(\sqrt{2}\). x is therefore:
\(100\sqrt{2}\div \sqrt{2}=100\)
Hope this helps!
You have $27 and take another $32 from your savings account. How much will you have left after buying a shirt for $18 and a pair of jeans for $29. Explain
Answer: $12 will be left
Step-by-step explanation:
Step 1
Total money = Cash at hand + Cash withdrawn from account
= $27 + $32
=$59
Total Money spent = Cost of shirt + Cost of jeans
= $18 +$29
=$47
Step 2
Money left = Initial Total Money at hand - Total Money spent
$59- $47
=$12
Use Trigonometric substitution to eliminate the roots 1.1. 164+2 + 1 Use Trigonometric substitution to eliminate the roots 1.1. V64+2 + 1 1.2. V4z2 – 49
To eliminate the roots in 1.1 and 1.2, we can use trigonometric substitution. In 1.1, we can substitute x = 4 sin(theta) to eliminate the root of 4. In 1.2, we can substitute z = 7 sin(theta) to eliminate the root of 7.
1.1. V64+2 + 1 We can substitute x = 4 sin(theta) to eliminate the root of 4. This gives us:
V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3 1.2. V4z2 – 49
We can substitute z = 7 sin(theta) to eliminate the root of 7. This gives us:
V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta) (2 – 1) = 7 sin(theta)
Here is a more detailed explanation of the substitution:
In 1.1, we know that the root of 4 is 2. We can substitute x = 4 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 2.
When we substitute x = 4 sin(theta), the expression becomes V64+2 + 1 = V(16 sin^2(theta) + 2 + 1) = V16 sin^2(theta) + V3 = 4 sin(theta) V3
In 1.2, we know that the root of 7 is 7/4. We can substitute z = 7 sin(theta) to eliminate this root. This is because sin(theta) can take on any value between -1 and 1, including 7/4.
When we substitute z = 7 sin(theta), the expression becomes: V4z2 – 49 = V4(7 sin^2(theta)) – 49 = V28 sin^2(theta) – 49 = 7 sin(theta) V4 – 7 = 7 sin(theta)
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The cost of a car rental is $30 per day plus 18c per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions
Answer:
2. 5 miles
Step-by-step explanation:
Given that:
Rental cost = $30
Cost per mile driven = 18 cent
Daily budget = $75
Greatest distance you can drive each day while staying within budget :
Rental cost + (cost per mile driven * distance) ≤ daily budget
$30 + 18d ≤ $75
18d ≤ 75 - 30
18d ≤ 45
d ≤ 45 / 18
d ≤ 2.5
Greatest distance you can drive each day while staying within budget is 2.5 miles.
3. A leaking tap drips water at 0,5 ml/sec. Convert this rate to l/h.
Answer: 1.8 L/h
Step-by-step explanation:
To convert the rate of water dripping from a tap from millilitres per second (ml/sec) to litres per hour (L/h), we need to use conversion factors.
Step 1:
First, let's convert the rate from millilitres per second to litres per second.
There are 1000 millilitres in a litre, so we can divide the rate in millilitres per second by 1000 to get the rate in litres per second:
\(\LARGE \boxed{\textsf{0.5 ml/sec $\div$ 1000 = 0.0005 L/sec}}\)
Step 2:
We can convert the rate from litres per second to litres per hour. There are 3600 seconds in an hour, so we can multiply the rate in litres per second by 3600 to get the rate in litres per hour:
\(\LARGE \boxed{\textsf{0.0005 L/sec $\times$ 3600 = 1.8 L/h}}\)
Therefore, the rate of water dripping from the tap is 1.8 L/h.
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When constructing an inscribed square by hand, which step comes after constructing a circle?.
After constructing a circle, the next step in constructing an inscribed square by hand is to draw the diagonals of the circle.
When constructing an inscribed square, drawing the diagonals of the circle is the next step because the diagonals of a square are also the diameters of the circle. By drawing the diagonals, we can find the points where the diagonals intersect the circle, which will be the vertices of the square. This ensures that the square is inscribed within the circle, with its corners touching the circumference of the circle.
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Answer: (A) Set compass to the diameter of the circle.
Step-by-step explanation: got it right in the test
If a wind turbine's blades reach 20 feet in diameter and makes 4 revolutions, how far would one blade travel from start to end?
Answer:
https://mmpa.org/wp-content/uploads/2015/09/Tip-Speed-Ratio-Provided-by-Kid-Wind-PDF.pdf
check this out - - it might help!
Step-by-step explanation:
Amber had of a book of postage stamps. She used of the book of postagestamps.Which fraction of the book of postage stamps does Amber have now?一01-161616
We were told that Amber had 5/6 of a book of postage stamps. If she used 2/6 of the book of postage stamp, then the fraction of the book of postage stamp that she has left is
5/6 - 2/6
= 3/6
She has 3/6 now
Really need help again!!!
And need steps too! Thx guys
Given the following data:
Points on x-axis = (-3, 9).
Points on y-axis = (6, -10).
What is a slope?The slope of a line simply refers to the gradient of a line and it's typically used to describe both the ratio, direction and steepness of an equation of a straight line.
How to calculate the slope of a line?Mathematically, the slope of a straight line can be calculated by using this formula;
\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)
Substituting the given parameters into the formula, we have;
Slope, m = (-10 - 6)/(9 - (-3))
Slope, m = -16/12
Slope, m = -4/3.
Mathematically, the standard form of the equation of a straight line is given by;
y - y₁ = m(x - x₁)
y - 6 = -4/3(x - (-3))
3y - 18 = -4x - 12
3y = -4x - 12 + 18
3y = -4x + 6
y = -4x/3 + 2.
How to show that the perpendicular bisector of the line AB is 3x-4y=17?First of all, we would determine the midpoint of line AB as follows:
Midpoint on x-coordinate is given by:
Midpoint = (x₁ + x₂)/2
Midpoint = (-3 + 9)/2
Midpoint = 6/2
Midpoint = 3.
Midpoint on y-coordinate is given by:
Midpoint = (y₁ + y₂)/2
Midpoint = (6 - 10)/2
Midpoint = -4/2
Midpoint = -2.
For perpendicularity, we have:
m₁ × m₂ = -1
-4/3 × m₂ = -1
m₂ = 3/4.
Next, we would use the point-slope form to write the equation:
y - y₁ = m₂(x - x₁)
y - (-2) = 3/4(x - 3)
y + 2 = 3/4(x - 3)
4y + 8 = 3x - 9
3x - 4y = 8 + 9
3x - 4y = 17 (Proved).
The equation of a circle.Mathematically, the standard form of the equation of a circle is given by;
(x - h)² + (y - k)² = r²
(x - 15)² + (y - 7)² = 325
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Complete Question:
A is the point (-3, 6) and B is the point (9, -10).
a) Find the equation of the line through A and B.
b) Show that the perpendicular bisector of the line AB is 3x-4y=17.
c) A circle passes through A and B and has its center on line x=15. Find the equation of this circle.
Keep me and and my fan's a live cuz if i fail this test i cant do cosplay anymore soooooo please help me!
Answer:
Z
Step-by-step explanation:
the answer is z! x should increase by 2 every time y increases by 1
Answer:
Z.
Step-by-step explanation:
Vinegar (on the left)
Cleaner (On Bottom)
X is horizontal line
Y is vertical line.
To solve, just use what is given, lawson uses 1 cup of vinegar (up 1) for 2 cups of cleaner (run (move 2 to the right) 2)
Rise over run.
The sum of three consecutive numbers is 60. What is
each number?
Write an equation:
Solve:
find the value of 81 3x
Answer:
27 I think just divide 81 by 3
The mean for the normal hemoglobin control is 14.0 mg/dL. The standard deviation is 0.15 with an acceptable control range of /- 2 standard deviations (SD). What are the acceptable limits of the control?
The acceptable limits of the control are 13.7 mg/dL and 14.3 mg/dL for mean for the normal hemoglobin control is 14.0 mg/dL. The standard deviation is 0.15 with an acceptable control range of /- 2 standard deviations (SD).
Given that the mean for the normal hemoglobin control is 14.0 mg/dL.
The standard deviation is 0.15 with an acceptable control range of /- 2 standard deviations (SD).
To determine the acceptable limits of the control, we can use the following formula:
Lower limit = Mean - 2 × SD
Upper limit = Mean + 2 × SD
Substituting the given values in the formula,
Lower limit = 14.0 - 2 × 0.15 = 13.7 mg/dL
Upper limit = 14.0 + 2 × 0.15 = 14.3 mg/dL
Therefore, the acceptable limits of the control are 13.7 mg/dL and 14.3 mg/dLfor mean for the normal hemoglobin control is 14.0 mg/dL. The standard deviation is 0.15 with an acceptable control range of /- 2 standard deviations (SD).
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Alguien me dice que debo hacer aqui porfavor es para un examen
Answer:
Cuando tenga problemas con una pregunta, venga aquí y también lo ayudaremos si no recibe la pregunta, intente omitirla.
Step-by-step explanation:
Q3 Fast Fourier Transform (FFT) is a technique that can be used to estimate the frequency spectrum of any signal. Consider your matrix number as a signal in 1 second. Estimate its frequency spectrum using the FFT. Plot the magnitude and phase response of the calculated spectrum. (a) (b) note: use 190010, the signal that should be used in this Q3
To estimate the frequency spectrum of the signal {1, 9, 0, 1, 4, 9} using the FFT, we apply the FFT algorithm to the signal. The FFT decomposes the signal into its constituent frequencies and provides the corresponding magnitude and phase responses.
(a) By applying the FFT to the given signal, we obtain the frequency spectrum. The magnitude spectrum represents the amplitudes of different frequency components in the signal, while the phase spectrum represents the phase shifts of those components.
(b) To plot the magnitude and phase response of the calculated spectrum, we would need to compute the magnitude and phase values for each frequency component obtained from the FFT.
The magnitude values can be plotted on a graph as a function of frequency, representing the strength of each frequency component. Similarly, the phase values can be plotted as a function of frequency, showing the phase shifts at different frequencies.
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For what values of c does the quadratic equatrion x^2-2x+c=0 have two roots of the same sign
The roots have positive or same signs when c>0.
Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.
\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)
Roots of quadrant equation have Samsame sign if product of roots >0.
\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)
Roots of quadratic equation have positive sign if product of roots<0.
c>0.
Combining results, we get:-
roots have positive signs when:-
c>0.
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6 times a number is 7 less than the square of that number. Find the positive solution.
Answer: x = 7
Step-by-step explanation: 6x = x^2 - 7
x^2 - 6x -7 =0
(x-7) (x+1) = 0
x = 7
x = -1 ----> rejected
The positive solution of the required number is 7.
What is an expression?An expression is a grouping of one or more mathematical or logical operators, operands (values, variables, or other expressions), and brackets in mathematics and computer programming that denote a computation that can be evaluated to generate a value.
Let's start by translating the given sentence into an equation. Let "x" be the number we are trying to find. Then we can write:
6x = x² - 7
Now we need to solve for x. Let's rearrange the equation to get all the x terms on one side and all the constant terms on the other side:
x² - 6x - 7 = 0
We can solve this quadratic equation by factoring or using the quadratic formula, but let's use factoring for this problem. We need to find two numbers whose product is -7 and whose sum is -6. The two numbers are -7 and 1, so we can write:
(x - 7)(x + 1) = 0
This means that either x - 7 = 0 or x + 1 = 0. Solving for x, we get:
x = 7 or x = -1
Since we are looking for a positive solution, the answer is x = 7. Therefore, the positive solution is 7.
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Which inequality is true?
A) |−6| > −6
B) |12| < |−5|
C) |−8| < 8
D) 7 > |−10|
Answer:
A) |−6| > −6
Step-by-step explanation:
Absolute value means take the non negative number
A) |−6| > −6 = 6> -6 true
B) |12| < |−5| 12 < 5 false
C) |−8| < 8 8 < 8 false
D) 7 > |−10| 7 > 10 false
The Venn diagram shows sets A, B, C, and the universal set U.
Shade C' U (A n B)' on the Venn diagram.
The shaded portion of CUA'UB' is given in the attached figure.
What is Set?A set is a collection of well defined objects
The given sets are A , B , C and the universal set U.
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items
Now we need to share the portion of CU(AnB)'
(AnB)'=A'UB' from the propertys
CUA'UB'
A'=U-A
B'=U-B
So the shaded portion of CUA'UB' is given in the attached figure.
Hence, the shaded portion of CUA'UB' is given in the attached figure.
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Find the frequency with the largest amplitude Find the frequency w for which the particular solution to the differential equation dạy dy 2- + dt2 + 2y = eiwt dt has the largest amplitude. You can assume a positive frequency w > 0. Probably the easiest way to do this is to find the particular solution in the form Aeiwt and then minimize the modulus of the denominator of A over all frequencies w. W= number (rtol=0.01, atol=1e-08) ?
The frequency with the largest amplitude is `w ≈ 2.303` (rtol=0.01, atol=1e-08).
The question asks us to find the frequency w for which the particular solution to the differential equation \(dạy dy 2- + dt2 + 2y = eiwt dt\)has the largest amplitude.
We can assume a positive frequency w > 0.
Let's find out how to solve this problem:
We need to find the particular solution in the form Aeiwt, and then minimize the modulus of the denominator of A over all frequencies w. It means the denominator of A will have a maximum amplitude if we minimize the modulus. The amplitude of the solution is given by the value of |A|.
Let us assume the particular solution to be `\(y = Aeiwt`.\)
Substitute the above solution in the given differential equation.
Then, we get:\(`d^2(A e^(iwt))/dt^2 + 2(A e^(iwt)) = e^(iwt)`\)Applying the differential operator on the above equation,
we get: \(`(iwt)^2 A e^(iwt) + 2A e^(iwt) = e^(iwt)`Therefore, `A = 1 / (1 - (w^2) + 2i)`.\)
Thus, the amplitude of the particular solution is:
\(`|A| = 1 / sqrt((1 - w^2)^2 + 4w^2)`\)
Now, we need to minimize the above expression to get the frequency w at which the amplitude of the particular solution is maximum. This can be done by minimizing the modulus of the denominator of A over all frequencies w.To minimize the above expression, we take the derivative of the expression with respect to w and equate it to zero, which gives us: \(`(8w^2) / ((w^2 - 1)^2 + 4w^2)^(3/2) - (2(w^2 - 1)) / ((w^2 - 1)^2 + 4w^2)^(3/2) = 0`\)
Simplifying the above expression, we get: `
\(2w^2 = w^4 - 3w^2 + 1`\)
Therefore, \(`w^4 - 5w^2 + 1 = 0`.\)
Solving the above equation gives us:
`\(w^2 = (5 ± sqrt(21)) / 2`\).Since we know that w > 0, we choose the positive value of w.
Thus, the value of w is: \(`w = sqrt((5 + sqrt(21)) / 2)` or `w ≈ 2.303\)`.
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you perform 7 sit-ups for every 2 pull- ups as part of an exercise routine. you perform 25 more sit-ups than pull-ups.How many sit-ups and how many pull-ups do you perform
ABC has the following transformation rotated 90 degrees clockwise about the origin reflected across the y-axis and reflected again across the x-axis
Select the angle vertex that corresponds to angle A
Answer: Leftmost vertex
Step-by-step explanation:
What is the midpoint of FB
Point L is the midpoint
The midpoint is halfway between the two points. In this case, Point F and Point B are 10 units away from each other. The midpoint is the distance between the points (10) divided by 2.
HEY PLEASE HELP I AM DESPERATE I WILL GIVE YOU BRAINLIEST
y>/-4x+20
This is the answer :D
Sasha is playing a game with two friends. Using the spinner pictured, one friend spun a one, and the other friend spun a four. Sasha needs to spin a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. How many desired outcomes should Sasha use in her probability calculation
Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.
To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.
Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.
Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.
To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.
Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.
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.
Triangle ABC is transformed. Select all the
transformations that would create a shape that is
congruent to ABC.
1. Reflection across the y axis
2.Dilation by scale factor of 1
3. Rotation 90 degrees clockwise
4. Translation 4 units to the right
Answer: All four answer choices would create congruent shapes.
===================================================
Explanation:
Reflections, rotations, and translations are considered rigid transformations. What this means is that they keep the same shape, but the shape has been moved in some fashion. As such, the "before" (preimage) and "after" (image) are congruent figures.
Imagine you drew a triangle on a clear piece of glass. If you took a picture of it from one side, then took another picture from the opposite side, then you'd get reflected versions of the triangle. Notice how the triangle has not moved at all. The camera has. Therefore, this proves that reflections keep the same exact shape. The only thing different is the orientation has swapped.
Now imagine you drew a triangle etched in stone. Grab your camera to take a picture of it. Then rotate the camera to get another picture. The two triangles are rotated copies of each other. They're the same exact triangle since the figure etched in stone hasn't changed. Only the camera has. This thought exercise proves rotations are a rigid transformation, aka an isometry.
Lastly, we'll go back to the triangle etched in stone to work with translations. A translation is any shifting. Take a picture of the triangle etched in stone. Then move the camera around to pan to another location (panning is when you keep your aim at the subject but move side to side, or up and down). Imagine the camera is stuck on a train track and can only aim one direction. The camera will take two pictures of the same triangle, of course the only difference is that they have shifted in the frame. Therefore, translations are the third final type of rigid transformation.
-----------------
Dilations are not rigid transformations, but only if the scale factor was something else than 1.
If the scale factor is less than 1, then the image shrinks.
If the scale factor is greater than 1, then the image enlarges.
If the scale factor is exactly 1, then the image doesn't change at all. This is because we multiplied all sides by 1. Multiplying by 1 doesn't change the number.
So because choice (2) mentions the scale factor is 1, this places it in the "rigid transformation" category and it's one of the four answers. Change the scale factor to anything else, and it wouldn't be an answer.
4. Tim has a wheelbarrow full of sand. He can fill a 12 litre bucket with the sand 15 times. (a) How many times could he fill a bucket with a capacity of 18 litres, with the sand from the wheelbarrow?
Tim could fill the 18-litre bucket in 22.5 times.
How many times could Tim fill an the bucket?To get the number of times he could fill an 18-litre bucket with the sand from the wheelbarrow, we wil set up proportion using the known information.
The amount of sand that can fill a 12-litre bucket is proportional to the number of times it can fill the bucket.
The proportion will be:
12 litres / 15 times = 18 litres / x times
12x = 15 * 18
12x = 270
x = 270 / 12
x = 22.5.
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