In the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.

a. Trureb. False

Answer:

v=-5

Step-by-step explanation:

Isolate the variables by dividing each side by factors that don't contain the variable. Hope this helps!

Answer:

(7x-12)=-5

-5x÷-5 114÷-5=

x=29

\((7x - 12) + 114 = 180\)

Reason: The cointerior angles equal 180°

Collecting like terms:

\(7x + 102 = 180 \\ 7x = 180 - 102\)

\(7x = 78\)

Divide both sides of the equation by the coefficient of 7x which is 7.

\( \frac{7x}{7} = \frac{78}{7} \)

\(x = \frac{78}{7} = \\ = 11.14\)

( The decimal answer is not necessary except if asked for)

Answer:

store C is the best with .122 per ounce the others are .129 and .135

Answer:

2

Step-by-step explanation:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion, therefore:

Where:

k = Constant of proportionality

Example:

Let's assume those triangles are similar, then the proportions are given by:

Answer:

I think that it would be -40

Step-by-step explanation:

I think this because they had to go back 40 spaces because 8 x 5 = 40.

The required number is 40 which represents that player's movements for those 5 turns.

Given that,
Some friends played a board game. During the​ game, one unlucky player had to move back 8 spaces 5 turns in a row.
To determine the number to represent that​ player's movements for those 5 turns.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
For every turn, he has back 8 spaces
To the number of spaces back in 5 turns,

Total spaces back = 5 * 8
                           =  40

Thus, the required number is 40 which represents that player's movements for those 5 turns.

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The result to reject the null hypothesis can be interpreted as follows,

There is sufficient evidence to disprove the claim μ = 50.2

What is a null hypothesis?

A statistical hypothesis known as a null hypothesis asserts that no statistical significance can be found in a collection of provided observations. Using sample data, hypothesis testing is performed to judge a theory' veracity. It is sometimes referred to as just "the null," and its symbol is H0.

To determine if a theory regarding markets, investing methods, or economies is correct or wrong, quantitative analysts perform a hypothesis testing and employ the null hypothesis, often known as the conjecture. Any variation between the selected attributes that you observe in a collection of data is thought to be the result of chance, according to the null hypothesis.

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Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

Answer:

AC is greater than BC

Step-by-step explanation:

First, we know that the angle of a straight line is 180°, so angle B as a whole is equal to 180 degrees. Therefore, angle YBC + angle ABC = 180 degrees. As angle YBC is a right angle, signified by the small square on the angle, it is 90 degrees. Therefore,

90 degrees + angle ABC = 180 degrees

subtract 90 degrees from both sides to isolate angle ABC

angle ABC = 90 degrees

Therefore, as angle ABC is equal to 90 degrees, and a right angle is 90 degrees, triangle ABC has a right angle, making it a right triangle.

In a right triangle, using the Pythagorean Theorem, the square of the side opposite the right angle is equal to the sum of the squares of the other side. Since side AC is opposite the right angle, we can say that

AC² = AB² + BC²

As the length of a side has to be greater than 0, we can say that

AC² = AB² + BC²

AB² > 0

AC² > BC²

square root both sides

AC > BC

Therefore, AC is greater than BC

The cost of ploughing the field is $1926.75.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle. It is typically expressed in units like cm or unit m.

The area of any circle is the area that it covers or the area that it encloses.

The fencing of the circular field gives the circumference of the circle.

The circumference of the circle is given as:

C = 2πr

Given that, the rate of fence to cover the field is:

1 m = 24 dollars

x = 5280

using cross multiplication we have:

x = 5280/24

x = 220

The circumference of the circle is 220.

The radius is:

220 = 2πr

220 = 2(3.14)r

r = 35.03

The area is to be ploughed.

The total area is:

A = πr²

A = (3.14)(35.03)²

A = 3853.5 sq m

The cost to plough is:

3853.5 (0.5) = 1926.75

Hence, the cost of ploughing the field is $1926.75.

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Answer:

25.) Slope of AB = 5

Slope of CD = -1/5

Perpendicular

26.) Slope of EF = -3/5

Slope of GH = -3/5

Parallel

Step-by-step explanation:

Use this formula to find slope. \(\frac{y2 - y1}{x2 - x1}\)

Parallel lines have the same slope

Perpendicular lines have the opposite reciprocal and sign

25.)

Plug in AB slope is 5

2 - 7/ 3 - 4 = -5/-1 = 5

Plug in for CD slope is -1/5

3 - 4/ 2 - -3 = -1/5 = -1/5

The lines AB and CD are perpendicular because they have opposite reciprocals and opposite signs.

26.)

Plug in EF slope is -3/5

1 - 4/ 3 - -2 = -3/5 = -3/5

Plug in GH slope is -3/5

-5 - -2/ 4 - -1 =  -3/5 = -3/5

The lines EF and GH are parallel lines because they have the same slopes.

Hope this helps ya!

Answer:

what the other person said

Step-by-step explanation:

you were already saved just give them brainliest now

The distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

To find the distance between successive fourth roots of a complex number on the unit circle, we can use the concept of the angle between the roots. Let's proceed step by step:

The given complex number is √3/2 - 1/2i. This complex number lies on the unit circle because its magnitude is equal to 1.

1. Convert the given complex number to trigonometric form:

  √3/2 - 1/2i = cos(θ) + i*sin(θ)

  By comparing the real and imaginary parts, we can determine the angle θ:

  cos(θ) = √3/2

  sin(θ) = -1/2

  Using the unit circle, we can find that θ = 5π/6 (or 150 degrees). This angle represents the position of the given complex number on the unit circle.

2. Find the angle between successive fourth roots:

  Since we are interested in the fourth roots, we divide the angle θ by 4:

  θ/4 = (5π/6) / 4 = 5π/24

  This angle represents the angular distance between two successive fourth roots on the unit circle.

3. Calculate the distance between the two points:

  To find the distance, we multiply the angular distance by the radius of the unit circle (which is 1):

  Distance = (5π/24) * 1 = 5π/24

  Therefore, the distance between successive fourth roots of the complex number √3/2 - 1/2i on the unit circle is 5π/24 units.

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Answer:

Total no of bracelets = 5s+28

Step-by-step explanation:

Let Sarah made s bracelets.

Maria made 7 more than Sarah i.e. 7+s

Julie made 3 times as many as Maria i.e. 3(7+s)

Total no of bracelets made is equal to the sum of the bracelets made by Sarah, Maria and Julie.

Total = s+ 7 + s + 3(7+s)

= 2s+7+21+3s

=2s+3s+21+7

= 5s+28

So, there are (5s+28) bracelets.

The expression of BC in terms of p and θ is BC = p / tan θ.

By the law of the sines, we conclude that the length of QR is QR = x · (sin 2α / sin α).

By the law of the cosine we find that the triangle has the following relationship: QR² = 2 · x² · (1 + cos 2α).

In this question we must derive expressions for the missing lengths of triangles in terms of known sides and angles. Trigonometric functions and laws are powerful resources to derive the expressions. The first triangle is a right triangle and the length of BC can be found by definition of the tangent function:

tan θ = AB / BC

BC = AB / tan θ

BC = p / tan θ

The expression of BC in terms of p and θ is BC = p / tan θ.

The second triangle is an isosceles triangle, where PQ = PR. By using triangle properties, the measure of the angle P is equal to 180° - 2α and we obtain the following expression by the law of the sine:

PQ / sin α = QR / sin (180° - 2α)

Then,

sin (180° - 2α) = sin 180° · cos 2α - cos 180° · sin 2α

sin (180° - 2α) = sin 2α

x / sin α = QR / sin 2α

QR = x · (sin 2α / sin α)

By the law of the sines, we conclude that the length of QR is QR = x · (sin 2α / sin α).

The third case represents another isosceles triangle (PQ = QR), then the measure of the angle P is 180° - 2α. By the law of the cosine we find that:

QR² = QP² + PR² - 2 · QP · PR · cos P

QR² = 2 · x² - 2 · x² · cos (180° - 2α)

Then,

cos (180° - 2α) = cos 180° · cos 2α + sin 180° · sin 2α

cos (180° - 2α) = - cos 2α

QR² = 2 · x² · (1 + cos 2α)

By the law of the cosine we find that the triangle has the following relationship: QR² = 2 · x² · (1 + cos 2α).

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Answer:

B.15/121

Step-by-step explanation:

total-11

The total distance rose traveled by the tenth day's end is 117km

Rose went on a hiking trip, on the 1st day she walked a distance of 18kilometers.

It states that each day she walks 90% of the distance she walked the day before.

Similarly, on the next day she walked 90% of the distance she walked the day before.

We need to find the distance walked by her on an nth day is;

dₙ = d₁* rⁿ⁻¹

From the above formula;

Distance covered on second day = d₂ = 0.90(d1)

                                                               = 0.90(18) = 16.2

Similarly for day three = d₃ = 0.90(d₂)

                                            = 0.90(16.2) = 14.58

Since as d₁ = 18 and r = 90% = 0.90

The final answer on the tenth day makes it n = 10;

The total sum of distance covered by rose;

∑dₙ = d₁ * (1-rⁿ / 1-r)

∑d₁₀ = 18 * (1 - 0.90¹⁰ / 1 -0.90)

∑d₁₀ = 117km

The total distance rose traveled by the tenth day's end is 117km.

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Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Pull out like factors : 16 + 2x  =   2 • (x + 8)

Solve::x+8 = 0

Subtract  8  from both sides of the equation::x = -8

The equation of the major axis of y = 1 / x would be y = x and y = -x.

The equation y = 1/x constitutes a rectangular hyperbola. Not like ellipses possessing broadly characterized principal axes, no finite line exists representing the major axis of the given hyperbola.

This is due to the symmetrical relationship around both x- and y-axes where its core remains positioned at (0, 0). In place of a definite line, the asymptotes operate in replaceable fashion, defined as the lines y = x and y = -x, which are values approached at near limit by this specific hyperbola yet never collided with.

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Answer: 3(2x+4y-z)

Step-by-step explanation:

To factor an expression, we want to take out the common factor within each term. In the expression, we know that 3 is a common factor because 6, 12, -3 are all factors of 3. When we take out a 3, we get 3(2x+4y-z).

(a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, (d) boxplot is attached, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

(a) The mean = sum of all values divided by the number of values

μ = (x1 + x2 + ..... + xn)/n

n = 20

μ = (0.0395 + 0.0443+ 0.0450 + ... + 0.0550 + 0.0571)/20

μ = 0.9878/20

μ = 0.0494

(b) Variance = sum of squared deviations from the mean divided by n-1

s² = {(x1-μ)² + (x2-μ)² + .... (xn - μ)²)/(n-1)

s² = {(0.0395-0.0494)² + (0.0443-0.0494)² + .... +(0.0571-0.0494)²}/19

s² = 0.000016

(b) The minimum is 0.0395 and the maximum is 0.0571.

since the number of data is even, the median will be the average of two middle values.

M = Q2 = (0.0496+0.0499)/2 = 0.04975

Now, the first quartile is the median of the data values below the median

so Q1 = (0.0470+0.0485)/2 = 0.04775

And third quartile will be the median of the data values above the median

Q3 = (0.0504+0.0516)/2 = 0.0510

(c) Since we know that the number of data values is even, the median will be the average of the two middle values of the data set

so M = (0.0496+0.0499)/2

or M = 0.04975

(d) The boxplot is at maximum and minimum values. It will start in Q1 and end in Q3 and has a vertical line at the median or Q2.

The boxplot is attached.

(e) The 5th percentile means 0.05(n+1)th data value

or = 0.05(20+1) = 1.05th data value

5th percentile = 0.0550 + 0.05(0.0443-0.0395) = 0.03974

similarly,

95th percentile = 0.0550 + 0.95(0.0571-0.0550) = 0.056995

Therefore, (a) the sample mean is 0.0494 and the sample variance is 0.000016, (b) the upper quartile is 0.04775, and the lower quartile is 0.0510, (c) the sample median is 0.04975, and (e) the 5th and 95th percentiles of the inside diameter are 0.03974 and 0.056995 respectively.

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We need to find the side that uses the adjacent and hypotenuse ratio. Using SOHCAHTOA:

Cosine is the ratio between adjacent and hypotenuse. Since x is adjacent to 49 and 14 is the hypotenuse, we can solve for x.

First, multiply both sides by 14.

Next, we need to simplify the left side of our equation. We will do this using a calculator.

This leads to choice C, 9.2, being the correct answer.

Answer:

x = -19

Step-by-step explanation:

hope this help :)

Answer:

\(\boxed {x = -19}\)

Step-by-step explanation:

Solve for the value of \(x\):

\(-4(x + 1) - 3 = -3(x - 4)\)

-Use Distributive Property to both sides of the equation:

\(-4(x + 1) - 3 = -3(x - 4)\)

\(-4x - 4 - 3 = -3x + 12\)

-Combine like terms:

\(-4x - 4 - 3 = -3x + 12\)

\(-4x - 7 = -3x + 12\)

-Take \(-3x\) and add it to \(-4x\):

\(-4x - 7 + 3x = -3x + 3x + 12\)

\(-x - 7 = 12\)

-Add both sides by \(7\):

\(-x - 7 + 7 = 12 + 7\)

\(-x = 19\)

-To make the variable \(x\) positive, divide both sides by \(-1\):

\(\frac{-x}{-1} = \frac{19}{-1}\)

\(\boxed {x = -19}\)

Therefore, the value of \(x\) is \(-19\).

Answer: 39.25php

Step-by-step explanation:

15.25php x 12 = 183php183 - 140.75 = 39.25php

Hope it helped if it's correct can you mark brainliest? :]

Answer

38 punds or 38.46

Step-by-step explanation:

plz make me brainliest i answered question

let's first off, convert the mixed fractions to improper fractions.

\(\stackrel{mixed}{8\frac{2}{5}}\implies \cfrac{8\cdot 5+2}{5}\implies \stackrel{improper}{\cfrac{42}{5}}~\hfill \stackrel{mixed}{6\frac{7}{10}} \implies \cfrac{6\cdot 10+7}{10} \implies \stackrel{improper}{\cfrac{67}{10}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{42}{5}-\cfrac{67}{10}\implies \cfrac{(2)42~~ - ~~(1)67}{\underset{\textit{using this LCD}}{10}}\implies \cfrac{84-67}{10}\implies \cfrac{17}{10}\implies 1\frac{7}{10}\)

Expected Value of X: E[X] = 1/2. Variance of X: Var[X] = 1/12. Since X is uniformly distributed between 0 and 1, the expected value (E[X]) can be calculated as the average of the endpoints of the distribution:

To find the expected value and variance of X and Y, we will compute each one separately.

Expected Value of X:

E[X] = (0 + 1) / 2 = 1/2

Variance of X:

The variance (Var[X]) of a uniform distribution is given by the formula:

Var[X] =\((b - a)^2 / 12\)

In this case, since X is uniformly distributed between 0 and 1, the variance is:

Var[X] = \((1 - 0)^2 /\)12 = 1/12

Expected Value of Y:

To calculate the expected value of Y, we consider two cases:

Case 1: If a < 1/2

In this case, Y takes on the value of a, since the minimum of X and a will always be a:

E[Y] = E[min(X, a)] = E[a] = a

Case 2: If a ≥ 1/2

In this case, Y takes on the value of X, since the minimum of X and a will always be X:

E[Y] = E[min(X, a)] = E[X] = 1/2

Variance of Y:

To calculate the variance of Y, we also consider two cases:

Case 1: If a < 1/2

In this case, Y takes on the value of a, which means it has zero variance:

Var[Y] = Var[min(X, a)] = Var[a] = 0

Case 2: If a ≥ 1/2

In this case, Y takes on the value of X, and its variance is the same as the variance of X:

Var[Y] = Var[min(X, a)] = Var[X] = 1/12

Assuming risk-neutrality, the maximum amount an individual would be willing to pay for this random variable is its expected value. Therefore, the maximum amount an individual would be willing to pay for Y is:

Maximum amount = E[Y] = a, if a < 1/2

Maximum amount = E[Y] = 1/2, if a ≥ 1/2

Expected Value of X: E[X] = 1/2

Variance of X: Var[X] = 1/12

Expected Value of Y:

- If a < 1/2, E[Y] = a

- If a ≥ 1/2, E[Y] = 1/2

Variance of Y:

- If a < 1/2, Var[Y] = 0

- If a ≥ 1/2, Var[Y] = 1/12

Maximum amount (assuming risk-neutrality):

- If a < 1/2, Maximum amount = E[Y] = a

- If a ≥ 1/2, Maximum amount = E[Y] = 1/2

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Let X be a random variable uniformly distributed between 0 and 1 . Let also Y=min(X,a) where a is a real number such that 0<a<1. Find the expected value and variance of X and Y. Assuming that you are risk-neutral.

Answer:

  b > 1

Step-by-step explanation:

You want to know the conditions on an exponential function that represents growth.

The value of 'b' in the exponential function y = a·b^x is called the "growth factor." Each time x increases by 1 unit, the value of y is multiplied by 'b'. If that product is increasing, the value of 'b' must be greater than 1.

The relation represents growth when b > 1.

An exponential function in the form \(y = ab^x\) represents growth when the base (b) is greater than 1.

In an exponential function of the form y = ab^x, the base (b) is a crucial component. The behavior of the function depends on the value of the base.

When the base (b) is greater than 1, it means that b is a positive number larger than 1. In this scenario, as the value of x increases, the value of \(b^x\) also increases exponentially. This results in the function \(y = ab^x\) exhibiting growth.

To better understand this growth behavior, let's consider an example. Suppose we have an exponential function \(y = 2^x\). As x increases from 0, the values of \(2^x\) will be as follows:

For x = 0, \(2^0\) = 1

For x = 1, \(2^1\) = 2

For x = 2, \(2^2\) = 4

For x = 3, \(2^3\) = 8

For x = 4, \(2^4\) = 16

As you can see, as x increases, the values of \(2^x\) grow exponentially. This demonstrates the growth behavior of exponential functions when the base is greater than 1.

It's important to note that when the base (b) is between 0 and 1 (exclusive), the exponential function will exhibit decay or decreasing behavior rather than growth.

In summary, an exponential function of the form \(y = ab^x\) represents growth when the base (b) is greater than 1. As x increases, the function values increase exponentially, indicating a growth pattern.

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The annual growth rate in population of 1.2% means that the population is increasing by 1.2% of the current population each year. To find the time it will take for the population to reach 10 billion, we need to use the following formula:P(t) = P0 × (1 + r)^twhere P0 is the initial population, r is the annual growth rate, t is the time (in years), and P(t) is the population after t years.

We can use this formula to solve the problem as follows: Let \(P0 = 7.6 billion, r = 0.012 (since 1.2% = 0.012)\), and P(t) = 10 billion. Plugging these values into the formula, we get: 10 billion = 7.6 billion × (1 + 0.012)^t Simplifying the right side of the equation, we get:10 billion = 7.6 billion × 1.012^tDividing both sides by 7.6 billion, we get:1.3158 = 1.012^tTaking the natural logarithm of both sides,

we get:ln\((1.3158) = ln(1.012^t)\) Using the property of logarithms that ln \((a^b) = b ln(a)\), we can simplify the right side of the equation as follows:ln(1.3158) = t ln(1.012)Dividing both sides by ln(1.012), we get:t = ln(1.3158) / ln(1.012)Using a calculator to evaluate the right side of the equation, we get:t ≈ 36.8Therefore, it will take about 36.8 years for the world's population to reach 10 billion at an annual growth rate of 1.2%.

In conclusion, It will take approximately 36.8 years for the world's population to reach 10 billion at an annual growth rate of 1.2%. The calculation was done using the formula P(t) = P0 × (1 + r)^t, where P0 is the initial population, r is the annual growth rate, t is the time (in years), and P(t) is the population after t years.

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