is this true -1.2 is greater than -0.5

The correlation coefficient between the student's height and the distance they were able to jump is -1.13.

To compute the correlation coefficient (r) between the person's height and the distance they were able to jump, we need to use the given formula:

\(r = \sum (xi - \bar x)(yi -\bar y) / \sqrt{(\sum (xi - \bar x)^2 * \sum (yi -\bar y)^2)\)

Where:

In our case,

\(\bar x\) = 64.44

\(\bar y = 6.06\)

Square the differences and sum them:

\(\sum ((xi -\bar x)^2) =307.84\\\\\sum ((yi -\bar y )^2) = 2.7224\)

Calculate the correlation coefficient using the formula:

\(r = -32.63 / \sqrt{(307.84 * 2.7224)}\\\\r = -32.63 / \sqrt{838.74158}\\\\\r = -32.63 / 28.96\\\\r = -1.128\)

Therefore, the correlation coefficient (r) for the linear fit between height and jump distance is approximately -1.13.

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Answer:

c

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just plug in 6 as x.

\(f(6)=2(6)^2+\sqrt{5} *(6-2) \\or\\f(6)=2(6)^2+\sqrt{5(6-2)}\)

Depending on how the equation is written (I got confused so I gave both answers of what I thought both versions were) this is the answer.

\(72+4\sqrt{5} =2(6)^2+\sqrt{5} *(6-2) \\or\\72+2\sqrt{5} =2(6)^2+\sqrt{5(6-2)}\)

No, the function y=2sin(2x) is not a solution of the differential equation y'''-8y=0.

To determine whether a function is a solution to the differential equation, we have to first find the derivatives of the function. The derivatives of y=2sin(2x) are y'=4cos(2x), y''=-8sin(2x) and y'''= -16cos(2x).

Next, we have to substitute the derivatives of the given function into the differential equation. When we substitute the derivatives of y=2sin(2x) into the differential equation, we get -16cos(2x) - 8×2sin(2x) = 0. This is not equal to 0, so y=2sin(2x) is not a solution to the differential equation y'''-8y=0.

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Answer:

I dont under stand is this in high school or college lol

(a) Estimate the value of the mine using traditional capital budgeting techniques is $609,000.0. (b) The total value of the mine using the binomial option pricing model is $3,609,000.0. (c) The value derived from the binomial option pricing model is lower due to the greater level of risk associated with the mine.

a. Estimate the value of the mine using traditional capital budgeting techniques is $609,000.0.

b. Estimate the value of the mine based upon an option pricing model.

Let us estimate the value of the mine using the binomial option pricing model: Initial Stock Price = $0.85

Strike Price = $0.40

u = 1.25d = 0.80

Rf = 7%

Time to expiration = 25 years

Number of time periods = 25

Size of time period = 1 year

25th-Step Terminal Stock Price = $6.75

There are 26,830 possible terminal stock price paths.

Average terminal stock price = $8.24 (2,134 paths)26,830-$0.0000 (25,389)$0.0117 (825)$0.0260 (126)$0.0443 (45)$0.0668 (24)$0.0935 (11)$0.1243 (4)$0.1591 (1)$0.1980 (1)

Average = $0.0609

The option value is therefore $0.0609*10,000,000 = $609,000.0

The total value of the mine using the binomial option pricing model is $3,609,000.0.

c. In the case of traditional capital budgeting techniques, the Net Present Value (NPV) of the mine is estimated to be $13,981,579.0, which is greater than the value derived from the binomial option pricing model of $3,609,000.0. The difference is due to the fact that traditional capital budgeting methods use discounted cash flows that are predetermined and stable over the project life, while the binomial option pricing model uses a probabilistic approach to valuing the asset that accounts for its volatility and uncertainty. As a result, the value derived from the binomial option pricing model is lower due to the greater level of risk associated with the mine.

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To solve the given probabilities, we can use Bayes' theorem. Let's define the following events:

E: It was an easy test

H: It was a hard test

A: The score is above 72

B: The average score for the class was below 66

We are given the following information:

P(H) = 0.60 (probability of a hard test)

P(E) = 1 - P(H) = 0.40 (probability of an easy test)

P(A|H) = P(score above 72 | hard test) (to be determined)

P(A|E) = P(score above 72 | easy test) = 1 - P(score below or equal to 72 | easy test)

P(B|H) = P(average score below 66 | hard test) (to be determined)

P(B|E) = P(average score below 66 | easy test) = 1 - P(average score above or equal to 66 | easy test)

To find the probability that it was an easy test given a score above 72, we can use Bayes' theorem:

P(E|A) = (P(A|E) * P(E)) / (P(A|E) * P(E) + P(A|H) * P(H))

We are given P(A|E) = 1 - P(score below or equal to 72 | easy test), which can be calculated using the normal distribution and the mean and standard deviation for the easy test scores.

To find the probability that it was an easy test given an average score below 66, we can use Bayes' theorem:

P(E|B) = (P(B|E) * P(E)) / (P(B|E) * P(E) + P(B|H) * P(H))

We are given P(B|E) = 1 - P(average score above or equal to 66 | easy test), which can be calculated using the normal distribution and the mean and standard deviation for the easy test scores.

1. Probability it was an easy test given a score above 72 (P(E|A)):

First, we calculate P(A|H) using the normal distribution and the mean and standard deviation for the hard test scores. Then, we can substitute the values into Bayes' theorem formula.

2. Probability it was an easy test given an average score below 66 (P(E|B)):

First, we calculate P(B|H) using the normal distribution and the mean and standard deviation for the hard test scores. Then, we can substitute the values into Bayes' theorem formula.

Please note that calculating probabilities using normal distribution involves using z-scores and cumulative distribution functions (CDF). Let's perform the calculations:

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Answer:

Step-by-step explanation:

i hope this answer helpful for you

To find the left, right, mean, and standard deviation for the normalcdf, you can follow these two steps:

The mean of the normal distribution is denoted by μ (mu), and the standard deviation is denoted by σ (sigma). If you have been given the mean and standard deviation, you can skip this step. If not, you need to calculate these values.

For example, let's say you are given the following normal distribution:

X ~ N(50, 10)

Here, the mean is 50, and the standard deviation is 10.

Once you have the mean and standard deviation, you can use them to determine the left and right bounds for the normalcdf.

The left bound is the smallest value in the range of values that you are interested in. The right bound is the largest value in the range of values that you are interested in.

For example, let's say you want to find the area under the normal distribution between x = 40 and x = 60. To do this, you need to find the left and right bounds.

Using the mean and standard deviation from Step 1:

μ = 50

σ = 10

To find the left bound, you subtract the mean from the left endpoint

left bound = 40 - μ = 40 - 50 = -10

To find the right bound, you subtract the mean from the right endpoint:

right bound = 60 - μ = 60 - 50 = 10

So the left and right bounds for the normalcdf are -10 and 10, respectively. You can then use these values to find the area under the normal distribution using a calculator or statistical software.

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Answer:

y=2x+6

y=2x+6

Explanation:

Given the equation:

The equation written as a system of equations is:

Opening the bracket in the first equation gives:

The combined present worth of the costs associated with the proposed bridge design, including construction and annual operating costs, is $10,583,333.

To calculate the combined present worth of costs, we need to consider the construction cost and the annual operating cost over the infinite life of the bridge. We will use the concept of present worth, which is the equivalent value of future costs in today's dollars.

The present worth of the construction cost is simply the initial cost itself, which is $9,000,000. This cost is already in present value terms.

For the annual operating cost, we need to calculate the present worth of perpetuity. A perpetuity is a series of equal payments that continue indefinitely. In this case, the annual operating cost of $700,000 represents an equal payment.

To calculate the present worth of the perpetuity, we can use the formula PW = A / MARR,

where PW is the present worth, A is the annual payment, and MARR is the minimum attractive rate of return (also known as the discount rate). Here, the MARR is given as 12%.

Plugging in the values, we have PW = $700,000 / 0.12 = $5,833,333.

Adding the present worth of the construction cost and the present worth of the perpetuity, we get $9,000,000 + $5,833,333 = $14,833,333.

However, since we are looking for the combined present worth, we need to subtract the salvage value, which is zero in this case. Therefore, the combined present worth of the costs associated with the proposed bridge design is $14,833,333 - $4,250,000 = $10,583,333, rounded to the nearest dollar.

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Applying the relation between the force and the distance between the two objects , the force between the objects when the distance between the objects is 7 meters is 0.21 N.

Force is a physical quantity that describes the interaction between two objects. It is the push or pull exerted on an object that changes or tends to change its motion. Force is measured in units of Newtons (N) and it can be a vector quantity, meaning that it has both magnitude and direction.

The unit of measurement for force is the Newton (N). It is important in physics because it is one of the fundamental quantities used to describe the motion and interactions of objects. Forces are responsible for changes in an object's motion, such as acceleration or deceleration, and they play a key role in many physical phenomena, including gravity, friction, and tension.

As given in the question , the force is 0.65 Newtons when the distance between the objects is 4 meters.

Let the force when the distance is 7 meters be F2.

So using the relation between the force and the distance , i.e Force is inversely proportional to the square of distance between the objects.

\(\frac{F2}{0.65} =\frac{4^{2} }{7^{2} }\)

Therefore, F2 = 0.21 Newtons

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The solution to the systems of equations graphically is (2, 4)

From the question, we have the following parameters that can be used in our computation:

y = 2x

y = -x + 6

Next, we plot the graph of the system of the equations

See attachment for the graph

From the graph, we have solution to the system to be the point of intersection of the lines

This points are located at (2, 4)

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Answer: 5/2


fraction of 2.5 is 5/2

Answer:

2 1/2 or 5/2 as improper fraction

2 is a whole number and you have .5 left over

To convert to fraction .5 is the same as 1/2

So it gives you 2 1/2

By the way thanks for the Brainly points :)

By plotting the obtained solutions on the graph we get graph as below.

The given system of inequalities are y >2x²+x-3 and y <-x² + 5x.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Put x=0, 1, 2 and 3 in the given inequalities, we get

Now, with y >2x²+x-3

When x=0

y >2(0)²+0-3

y >-3

When x=1

y >2(1)²+1-3

y >0

When x=2

y >2(2)²+2-3

y >7

When x=2

y >2(3)²+3-3

y >18

With the inequalities y<-x²+5x

When x=0

y<-0²+5(0)

y<0

When x=1

y<(-1)²+5(1)

y<6

When x=2

y<(-2)²+5(2)

y<14

When x=3

y<(-3)²+5(3)

y<24

By plotting the obtained solutions on the graph we get graph as below.

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the option c) has the greatest density of approximately 4.545 g/cm³.

To determine the liquid with the greatest density, we can calculate the density for each option using the formula:

Density = Mass / Volume

a) Density = 2.3 g / 1.3 cm³ ≈ 1.769 g/cm³

b) Density = 10 g / 3.5 cm³ ≈ 2.857 g/cm³

c) Density = 0.10 g / 0.022 cm³ ≈ 4.545 g/cm³

d) Density = 0.64 g / 5.4 cm³ ≈ 0.118 g/cm³

e) Density = 0.12 g / 0.21 cm³ ≈ 0.571 g/cm³

Comparing the calculated densities, we find that option c) has the greatest density of approximately 4.545 g/cm³. Therefore, option c) is the liquid with the highest density among the given options.

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Complete question is below

Which of the following liquids has the greatest density?

a) 1.3 cm³ with a mass of 2.3 g

b) 3.5 cm³ with a mass of 10 g

c) 0.022 cm³ with a mass of 0.10 g

d) 5.4 cm³ with a mass of 0.64 g

e) 0.21 cm³ with a mass of 0.12 g

Answer:

Function 2

Step-by-step explanation:

✔️Slope of function 1:

Slope (m) = ∆y/∆x

Using two points on the line, (0, 4) and (1, 9),

Slope (m) = (9 - 4) / (1 - 0)

Slope (m) = 5/1

Slope (m) = 5

✔️Slope of function 2:

Slope (m) = ∆y/∆x

Using the coordinates of any two given pairs form the table, (0, 1) and (1, -3):

Slope (m) = (-3 - 1) / (1 - 0)

Slope (m) = -4/1

Slope (m) = -4

✔️Slope of Function 3:

The function is given in the slope-intercept form, y = mx + b

m = slope

The function y = 2x - 5, therefore has a slope (m) of 2

Slope = 2

✔️Slope of Function 4:

Slope (m) = -1

✅Thus, the functions that has slopes less than -2 are:

Function 2: slope = -4

Function 1, 3, and 4 all have slopes that are greater than -2

The correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

Here, we have to rewrite the expression x² + x - 72 in the form (x + a)(x + b), we need to find two numbers a and b such that when multiplied,

it give us the constant term -72 and when added, it give us the coefficient of the x term, which is 1.

The expression x² + x - 72 can be factored as follows:

x² + x - 72

= x² + 9x - 8x - 72

=x(x+9) -8(x+9)

= (x + 9)(x - 8)

Therefore, the correct values of a and b to rewrite the expression as (x + a)(x + b) are:

a = 9

b = -8

So, (x + 9)(x - 8) is the correct form of the given expression.

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The expression is twice the sum of four and a number is 2(4 + n). Then the correct option is A.

Simplification is to make something easier to do or understand and to make something less complicated.

The condition is given as "twice the sum of four and a number".

Let the number be n. Then according to the condition, we have

The sum of four and a number (n) will be

4 + n

And the number is twice. Then the expression will be

2 × (4 + n)

Thus, the expression is 2 × (4 + n). Then the correct option is A.

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Answer:

6

Step-by-step explanation:

W = x

L = 2x - 5

P = 2W + 2L

46 = 2(x) + 2(2x - 5)

46 = 2x + 4x - 10

46 = 6x - 10

46 + 10 = 6x

36 = 6x

x = 6

Answer:

the answe is X= 14/ A :)

explanation: I took the exam review good luck!

Answer:

It is A

Step-by-step explanation:

edge 2022

Answer:

that is not complete you would need the starting price and the percentage

hope that helps good luck

Answer:

what's the question?

Step-by-step explanation:

i dont know cz u didnt put the question n only a lil bit of information

The equation relating x, y, and z is:

z = 0.5 * x * y.

In the given problem, the relationship between x, y, and z can be expressed by the equation z = k * x * y, where k represents the constant of proportionality. By substituting the values of x = 4 and y = 5, when z is equal to 10, we can determine the value of the constant of proportionality, k, and further define the relationship between the variables.

To find the constant of proportionality, we substitute the known values of x = 4, y = 5, and z = 10 into the equation z = k * x * y. This gives us the equation 10 = k * 4 * 5. By simplifying the equation, we have 10 = 20k. To isolate k, we divide both sides of the equation by 20, resulting in k = 0.5. Therefore, the equation relating x, y, and z is z = 0.5 * x * y, meaning that z is directly proportional to the product of x and y with a constant of proportionality equal to 0.5.

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Answer: Square and rectangle

Step-by-step explanation: