What are the zeros of the function y = (x − 4)(x2 − 12x + 36)

Yes, the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

The p-value is the probability of obtaining a statistic that is more or more extreme than that observed in experiment.

The p-value is calculated assuming the null hypothesis is true. Therefore, the lower the p-value, the stronger the evidence that the null hypothesis is false. That is, the lower the p-value, the stronger the evidence in favor of the alternative hypothesis.

The P-value is the observed test statistic (i.e., the data summary) that is as extreme as or more extreme than the currently observed test statistic under a statistical model that specifically assumes that the hypothesis is being tested. is the probability that It's true.

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Complete question

is the P-value is the probability, assuming H0 is true, of observing a value for the test statistic that is as extreme as or more extreme than the value actually observed.

Answer:

an = 17n-1

Step-by-step explanation:

have a good day T_T

:O :P

Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.

Answer:

Step-by-step explanation:

If you are desperate, copy and paste the below answer. It should be correct but I don't know your syllabus.

8% C = 4      1% C = 4 ÷ 8 =0.5      100% C = 0.5 × 100 = 50

Hope this helps.

Answer:

1853metre

Step-by-step explanation:

Taking Danta distant as x

While Cam's will be 5x because he cover distance 5 time more than dante

I.e. Cam rode 10.25 km, to get what dante covers

5x=10.25

x=10.25/5

x=2.05km

Dante rode 2.05 km as calculated above

We must remember 1km=1000m. Hence, 2.05 km=2050 m

From the question, "Dante rod 197 m more than Michael", the distance Michael will ride then will be:

2050 metre - 197 metre

=1853 metre

Michael have rode 2863 metre

There are total 30 positive 3-digit palindromes are multiples of 3.

The numbers are as follows,

111, 141, 171, 222, 252, 282, 303, 333, 363, 393, 414, 444, 474, 525, 555, 585, 606, 636, 666, 696, 717, 747, 777, 828, 858, 888, 909, 939, 969, 999.

Palindrome numbers

A palindromic number is a number that remains the same when its digits are reversed. In other words, it has reflectional symmetry across a vertical axis.

A palindrome number is a number that is same after reverse.

For example - 121, 34543, 343, 131, 48984 are the palindrome numbers.

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Answer:

sorry but I can understand

Scientific notation uses expression which gives easy access of order. The greatest number is \(5.5 \times 10^5\) .It is greater by smallest number by 500  times.

It is usually of the form \(a.bc.. \times 10^k\)exponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

If we have \(a^b\)base and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

\(a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}\)

The given numbers are:

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\(\dfrac{5.5 \times 10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500\)

Thus, it is found that greatest number is \(5.5 \times 10^5\) . It is greater by smallest number by 500  times.

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Answer:

$100 + $18d = payed amount

Step-by-step explanation:

Dinos really are awesome

The new mean, new variance, and new standard deviation would be 9, 7, 2.6458, respectively that is in option (d)

If you multiply each value in the dataset by 2, you will get the following new dataset: 6, 12, 4, 14, 8, 10.

Mean = Sum total of observation / Number of Observation

The new sample mean is 9,

Mathematically, Variance is represented as,

σ2 = ∑ (Xi – μ)2 / N, where, Xi = ith data point in the data set

μ = Sample mean

N = Number of data points in the Sample

The new sample variance is 7,

Standard deviation is determined as the square root of the variance and is denoted by the Greek letter (sigma).

the new sample standard deviation is 2.6458.

So the correct answer is: d. 9, 7, 2.6458

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Answer:

The orhocenter of a triangle is the point where the altitudes from the 3 vertices of the triangle meet.

Step-by-step explanation:

hope that work

The upper bound is 1842 and lower bound is 1692. By using these boundaries and t-table, the sample mean is 1767 and sample standard deviation = 133.98.

Here, the two boundaries are 1692 and 1842.

Mean = (1692+1842) /2 = 1767

Here the degree of freedom, df = (n-1) = 25-1 =24

Margin of error = (1842-1692)/2 = 75

Confidence level = 99%

From the t table, value of T with confidence level 99% and df= 24 is 2.80

The equation for margin of error is M = Ts/√n

            M= 75 , T= 2.80, n =25

75 = (2.80 × s) / √25

75 = 2.80s/ 5

s = (75×5)/2.80 = 133.928 = 133.93

So the sample mean is 1767 and the standard deviation is 133.93.

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Answer:

Possible Alternate Exterior Angles:

5 and 4

1 and 8

9 and 16

13 and 12

Answer:

B.

Step-by-step explanation:

Answer:

b.

Step-by-step explanation:

6 times 1/2 is the same thing as 6/1 times 1/2, which is 6/2.

Hope this helps.

The curve of intersection between the cylinder x^2 + y^2 = 1 and the plane y + z = 2 is a circle lying on the plane y + z = 2. The parametric equations for this curve are x = cos(θ), y = sin(θ), and z = 2 - sin(θ), where θ is the parameter representing points on the circle.

To find the parametric equations for the curve of intersection between the cylinder and the plane, we can start by parameterizing the cylinder using the angle θ. Since the equation x^2 + y^2 = 1 represents a circle in the x-y plane with radius 1, we can use θ as a parameter to represent points on this circle.

The parametric equations for the cylinder are:

x = cos(θ)

y = sin(θ)

z = 2 - y

Next, we substitute these equations into the plane equation y + z = 2 to determine the intersection points. By substituting y and z, we have sin(θ) + 2 - sin(θ) = 2, which simplifies to sin(θ) - sin(θ) = 0. This implies that the plane equation is satisfied for any value of θ.

Therefore, the intersection between the cylinder and the plane is the entire cylinder itself, lying on the plane y + z = 2. The parametric equations for the curve of intersection are x = cos(θ), y = sin(θ), and z = 2 - sin(θ).

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Answer:

1+2+275+572+27

Step-by-step explanation:

jdjduu you have a great day at work today I will be there at work tomorrow

Answer:

good luck broooooooooooo

Answer:

-1

Step-by-step explanation:

→ -4 + (6/2)

→ -4 +3 = -1

So, the answer is -1.

the answer for X is A) 5m.

(0.1), (2,5), (1/2,2), (-1,-1) are the points on graph.

In mathematics, a graph is a visual representation or diagram that shows data or values in an ordered way. The relationships between two or more things are frequently represented by the points on a graph.

A graph is a type of non-linear data structure composed of nodes, also known as vertices and edges. Any two nodes, also referred to as vertices, in a graph are connected by edges. The vertex numbers in this graph are 1, 2, 3, and 5, and the edge numbers are 1, 2, 1, 3, 2, 4, and 5, respectively.

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The equation of the graph in vertex form is: y = 1x – 3| + 5.

The graph in the diagram above is a graph of an absolute value equation. The equation can be expressed as y = a|x – h| + k (vertex form), where the vertex is represented as (h, k).

The vertex of the graph is the coordinate of the point where the two straight lines meet.

Given the graph above, the vertex is at point (3, 5). Therefore:

h = 3

k = 5

The graph opens up, so the value of a = 1.

Substitute h = 3 and k = 5 into y = a|x – h| + k:

y = 1|x – 3| + 5

y = 1x – 3| + 5

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The coordinates of the midpoint of line OE are (8, 11).

To find the midpoint of line OE, we can use the midpoint formula.

The midpoint formula is ((x₁ + x₂)/2, (y₁+ y₂)/2), where (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

In this case, Point E has coordinates (16, 22), and Point O is the origin with coordinates (0, 0).

Applying the midpoint formula:

Midpoint = ((16 + 0)/2, (22 + 0)/2) = (16/2, 22/2) = (8, 11)

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Answer:

same bro

Step-by-step explanation:

check my profile for explanation

As a result, 2x + 10 is the expression that describes how long Malik will cook the sirloin for if the asparagus grills for x minutes.

So, 1+1 is a straightforward illustration of a statement. This expression has one action, two constant elements, and (addition). Another illustration is x3.

Let's start by using the given information to create expressions for each item:

Let's call the time it takes to grill the fish "f". Then, according to the problem, Malik grills the steak for "f + 10" minutes.

Grilling time for the seafood is double that of the vegetables. Thus, if it requires "x" minutes to grill asparagus, "2X" minutes are needed to grill salmon.

For "x + 1" minutes, and this is one minute more than he roasts the asparagus, Malik cooks the tomatoes that have been cut in half.

Using these expressions, we can create an equation for the time it takes to grill the steak:

Time to grill steak = Time to grill fish + 10

(f + 10) = 2x + 10

Therefore, if the asparagus cooks for x minutes, the phrase that denotes how long Malik will grill the sirloin is:

2x + 10

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1) Two linearly independent solutions for the homogeneous part of the given inhomogeneous differential equation (DE) are \(y1(x) = e^{(-x)\) and \(y2(x) = e^{(4x)\).

2) The trial functions u1(x) and u2(x) for the particular solution (P.S.) Yp(x) using the method of variation of parameters are \(u1(x) = -2e^{(-x)}sin(x)\) and \(u2(x) = 2e^{(4x)}sin(x)\).

3) The general solution (G.S.) for the original DE is \(y(x) = c1e^{(-x)} + c2e^{(4x) }- 2e^{(-x)}sin(x) + 2e^{(4x)}sin(x)\), where c1 and c2 are constants.

1) To find two linearly independent solutions for the homogeneous part of the given inhomogeneous DE y" + y = 2sin(x), we consider the corresponding homogeneous DE, which is y" + y = 0. The characteristic equation is r^2 + 1 = 0, which yields r = ±i. Therefore, the two solutions for the homogeneous DE are \(y1(x) = e^{(-x)\)and \(y2(x) = e^{(4x)\).

2) To determine the trial functions u1(x) and u2(x) for the particular solution (P.S.) Yp(x) using the method of variation of parameters, we assume that Yp(x) takes the form Yp(x) = v1(x)y1(x) + v2(x)y2(x), where v1(x) and v2(x) are unknown functions. Substituting this into the original DE, we obtain the following system of equations: v1'(x)y1(x) + v2'(x)y2(x) = 0 (homogeneous part), and v1'(x)y1'(x) + v2'(x)y2'(x) = 2sin(x) (particular part). Solving this system, we find \(v1'(x) = -sin(x)e^{(x)\)and \(v2'(x) = sin(x)e^{(-4x)\). Integrating these expressions yields \(v1(x) = -2e^{(-x)}sin(x)\)and \(v2(x) = 2e^{(4x)}sin(x)\).

3) The general solution (G.S.) for the original DE can be expressed as y(x) = Yh(x) + Yp(x), where Yh(x) is the homogeneous solution and Yp(x) is the particular solution. Therefore, the G.S. is given by \(y(x) = c1e^{(-x) }+ c2e^{(4x)} - 2e^{(-x)}sin(x) + 2e^{(4x)}sin(x)\), where c1 and c2 are arbitrary constants that can be determined from initial conditions or additional information, if provided. This solution satisfies both the homogeneous DE and the inhomogeneous DE, providing a complete solution to the given problem.

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Using trigonometric identities in terns of sinθ,  tan²θsin²θ = sin⁴θ/(1 - sin²θ)

Trigonometric identities are mathematical equations that contain trigonometric ratios.

Given the trigonometric identity tan²θsin²θ, we desire to write it in terms of sinθ, we proceed as follows.

Since we have tan²θsin²θ  (1)

Using the trigonometic identity 1 + tan²θ = sec²θ = 1/cos²θ

Making tan²θ subect of the formula, we have that

tan²θ = sec²θ - 1

= 1/cos²θ - 1

So, substituting this into the given equation, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

Now using the trigonometric identity sin²θ + cos²θ = 1

⇒ cos²θ = 1 - sin²θ

So, we have that

tan²θsin²θ = (1/cos²θ - 1)sin²θ

= (1/(1 - sin²θ) - 1)sin²θ

= [1 - (1 - sin²θ )]sin²θ/(1 - sin²θ)

= [1 - 1 + sin²θ )]sin²θ/(1 - sin²θ)

= [0 + sin²θ )]sin²θ/(1 - sin²θ)

= [sin²θ]sin²θ/(1 - sin²θ)

= sin⁴θ/(1 - sin²θ)

So, tan²θsin²θ = sin⁴θ/(1 - sin²θ)

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Ratio analysis can be made more meaningful in all the following ways except by focusing more on long-term solvency than on short-term solvency.

Ratio analysis is a mathematical technique for analyzing a company's financial documents, such as the balance sheet and income statement, to gather knowledge about its liquidity, operational effectiveness, and profitability. Fundamental equity research is built on ratio analysis.

In order to get insights into profitability, liquidity, operational effectiveness, and solvency, ratio analysis examines line-item data from a company's financial statements.

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The full question:

ratio analysis can be made more meaningful in all the following ways except by?

Here, we want to determine the end behavior of the given polynomial

To do this, we need to know the leading coefficient sign and the degree of the polynomial (if even or odd)

As we can see, the leading coefficient is a positive number while the degree of the polynomial is odd

So, we need to evaluate the behavior of a polynomial with a positive leading coefficient and an odd degree

The correct answer here is that;

Answer:

B trustttttttt

Step-by-step explanation:

The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.

To get down safely without breaking the rope, a criminal who wants to escape from the third storey window of a jail, by going down a rope to the road below and has a mass of 75 kg while the rope can only support 65 kg without breaking can use the following method :Step-by-step explanation:

Calculate the acceleration produced by the criminal and find the maximum tension the rope can withstand.

According to Newton's second law, F = ma .Frictional force (f) acts upward and it opposes the weight of the criminal. Therefore, F = mg - f. If the criminal is accelerating downwards at a constant rate, a, the tension in the rope (T) is given by T = m(g - a).

If a is positive, then the tension in the rope is greater than mg and the rope breaks.

If a is negative, then the tension in the rope is less than mg and the rope is safe.

Let's assume that the tension in the rope is just equal to the breaking point.

Then:65*9.81 = 75* a + 65 *9.81a = 6.74 m/s^2

The criminal will go down the rope safely if his acceleration is less than 9.81 m/s^2.

This means that he should create additional friction by wrapping the rope around his legs, to increase the force of friction acting upwards. By doing this, he will decrease the net force acting downwards and thus reduce his acceleration.

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Answer:

396cm²

Step-by-step explanation:

hope this helps

Answer:

70

Step-by-step explanation:

because you add 10 plus 9 and that gets 19 and you add 27 plus 24 and that gets 51 and you add 51 plus 19 and you get 70

Answer:

a = 2, b = -2

P is at a minimum

Step-by-step explanation:

For any polynomial function, the turning point is either a maximum or a minimum

It can be determined by taking the first derivative of the function and setting it equal to 0 and solving for x and y

In this case we are given the turning point as x=1, y = 3 and we have to calculate a and b in the equation y = ax² + (ab)x + 5

The first derivative of y, y' = 2ax + ab

If we set this equal to 0 we get 2ax + ab = 0 ==> 2ax = -ab ==> b = -2

So the equation is of the form y = ax² -2ax + 5  (subbing for b)

Since we know that at x = 1, y =3 substitute y and x values in the above equation and solve for a

y = 3 = a(1²) - 2a(1) + 5

a - 2a + 5 = 3

-a + 5 = 3

a = 2

So the equation is of the form y = 2x² -4x + 5

If we plot this we will find that P is a minimum point

However, we can always determine mathematically if P is a max or min by taking the second derivative of the original function and noting the sign.  If it is positive, the point is a minimum, and if it is negative, the point is a maximum.

Taking derivatives,

y' = 4x  - 4

y'' = (4x-4)' = 4

The sign is positive so P is a minimum

Graph attached for reference

Answer:

Step-by-step explanation:

To calculate the probability that none of the selected subjects left the treatment center against medical advice, we need to know the total number of subjects transported by helicopter and the number of subjects who left against medical advice.

Let's assume the total number of subjects transported by helicopter is 'N' and the number of subjects who left against medical advice is 'A'.

The probability that none of the selected subjects left against medical advice can be calculated using the hypergeometric probability formula:

P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)

Where:

C(n, r) represents the number of combinations of selecting 'r' items from a set of 'n' items.

In this case, since we want to calculate the probability of selecting none of the subjects who left against medical advice, we set X = 0.

Substituting the values, we have:

P(X = 0) = (C(A, 0) * C(N - A, n)) / C(N, n)

Simplifying further:

P(X = 0) = (C(0, 0) * C(N - A, n)) / C(N, n)

Since C(0, 0) = 1 (by convention), the formula becomes:

P(X = 0) = (1 * C(N - A, n)) / C(N, n)

Now, you need to provide the values of 'N', 'A', and 'n' in order to calculate the probability.