Find the slope between the two points. Problem Solution (4,6) and (5,0) (-3,-4) and (-2,-10)

The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.

In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.

In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.

n = 18 (number of trials)

π = 0.60 (probability of success for each trial)

To find the expected value:

E(X) = np

Substitute the given values:

E(X) = 18 * 0.60

Calculate the expected value:

E(X) = 10.8

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Answer:

If the "-" after "3y" is a typo, then y = 8/7, x = 24/7

Step-by-step explanation:

On the same graph, draw all of the vectors involved:

a. The vector that gives the direction and speed of the wind:

Draw a vector in the southwest direction (45 degrees south of west) with a length of 44 miles per hour. Label it as the wind vector.

b. The vector that gives the direction and speed of the airplane relative to the air:

Draw a vector in the west direction with a length of 262 miles per hour. Label it as the airplane relative to air vector.

c. The vector that gives the direction and speed of the airplane relative to the ground:

Draw the resultant vector starting from the tail of the wind vector and ending at the head of the airplane relative to air vector. Label it as the airplane relative to ground vector.

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Answer:

yes it for sure

Step-by-step explanation:

the 2AM 3has and the same 3AM are a different 3person than you would be in a different type and you are a good thing to be in a different person and then use

In this problem, we are dealing with a random variable related to people's opinions on a new building project. We are given four options for the correct wording of the random variable and need to determine the correct one. Additionally, we are asked to calculate probabilities associated with the number of people who favor the new building project, ranging from exactly 4 to at most 6.

a) The correct wording for the random variable is "rv = the number of people who are in favor of a new building project." This wording accurately represents the random variable as the count of individuals who support the project.

b) To calculate the probability that exactly 4 people favor the new building project, we need to use the binomial probability formula. Assuming the probability of a person favoring the project is p, we can calculate P(X = 4) = (number of ways to choose 4 out of 10) * (p^4) * ((1-p)^(10-4)). The value of p is not given in the problem, so this calculation requires additional information.

c) To find the probability that less than 4 people favor the new building project, we can calculate P(X < 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3). Again, the value of p is needed to perform the calculations.

d) The probability that more than 4 people favor the new building project can be calculated as P(X > 4) = 1 - P(X ≤ 4) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)).

e) The probability that exactly 6 people favor the new building project can be calculated as P(X = 6) using the binomial probability formula.

f) To find the probability that at least 6 people favor the new building project, we can calculate P(X ≥ 6) = P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10).

g) Finally, to determine the probability that at most 6 people favor the new building project, we can calculate P(X ≤ 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6).

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Answer:

w = 4

Step-by-step explanation:

10(2)-4(-w)=36

20+4w=36

4w=36-20

4w=16

w=16/4

w=4

The area of the right triangle that is given would be = 60.

To calculate the area of the given triangle, the base of the triangle should first be calculated using the Pythagorean theorem.

That is ;

C² = a²+b²

c = 17

a = 8

b = ?

make b the subject of formula;

b² = c²-a²

= 17²-8²

= 289-64

= 225

b = √225 = 15

The area = ½ base ×height

= 1/2× 15 × 8

= 60

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Answer:

The total amount he pays back will be $1,401.6

Step-by-step explanation:

First off, we transform 5.6% to a decimal and multiply it by 3 (years), and that will get us 0.168. Then we use the total amount borrowed and multiply it by 0.168 (total interest for 3 years). Finally, we add that to our total amount borrowed and we get the final answer.

1200 + (1200 * 0.168) = 1,401.6  

The total amount he pays back at the end of 3 years is 1413.1 .

Growth rates refer to the percentage change of a specific variable within a specific time period.

According to the question

Fredrick borrows $ 1200 for 3 years at a rate of 5.6% per year simple

interest.

Principal amount P = $ 1200

Time t = 3 years

Growth Rate r = 5.6 % = 0.056

Total amount = \(P(1+r)^{t}\)

= \(1200(1+0.056)^{3}\)

= \(1200(1.056)^{3}\)

= 1413.1

The total amount he pays back at the end of 3 years is 1413.1 .

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Answer: the answer is 1

Step-by-step explanation:

so we do Straight multiplication and I mean

1 x 7 (the numerators) which gives us 7

the denominator which is 7 x 1= 7

now we have the fraction 7/7 now we divide which gives us 1

Answer:

Step-by-step explanation:

5x7=35 hours(Gary’s total free time per week)

7+8=15 hours(Gary is spending his time on the internet+Playing video games)

35h.....100%

15.........x%

x=42,8%=>43%

Residual analysis is an important tool in statistical analysis to evaluate the goodness of fit of a linear regression model. It helps to identify any systematic patterns in the differences between the observed values and the predicted values.

A residual plot is a graph that shows the residuals (vertical distances) of the data points from the regression line on the horizontal axis. If the residual plot shows a linear pattern, it suggests that the linear regression model is a good fit for the data.

However, if the plot suggests curvature in the residuals, it raises a concern about the assumption of a linear relationship between x and y. In this case, we may need to consider fitting a non-linear model that accounts for the curvature.

Furthermore, residual analysis can also help to identify outliers or influential points that may be affecting the model's performance. Outliers are data points that are far away from the rest of the data, while influential points are observations that have a large effect on the slope or intercept of the regression line.

In conclusion, residual analysis is a powerful tool for evaluating the fit of a linear regression model. By examining the residual plot, we can draw important conclusions about the linearity or curvature of the relationship between x and y, and identify any outliers or influential points that may be affecting the model's performance.

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The polynomic function that contains the points (0, 6), (3, 15.8) and (9.5, 0) is a quadratic function, whose model is y = -0.600 · x² + 5.066 · x + 6.

To determine the coefficients of a polynomic function we must know a set of distinct points, whose number is the same number of coefficients. In this case, we can derive a quadratic function, as quadratic functions have three coefficients:

y = a · x² + b · x + c     (1)

Now we substitute x and y in (1) and solve the resulting system of linear equations:

c = 6

9 · a + 3 · b + c = 15.8

90.25 · a + 9.5 · b + c = 0

Whose solution is a ≈ -0.600, b ≈ 5.066 and c = 6.

The statement is incomplete. The complete form is shown below:

There is a polynomial function. Find the function of (0, 6), (3, 15.8) and (9.5, 0).

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Answer:

The result is about 70.9 degrees

Step-by-step explanation:

Easy for a calculator.  If you're not using a calculator, it's much more tedious!

There is an inverse sine key on your calculator, but you may have to press a key (likely labeled 2nd or INV) first.  The attached image shows a TI-83 display.  To get the inverse sine, I first pressed the yellow 2nd key, then the sin key.

Check MODE first to make sure you're measuring angles in degrees (if that's what you want!).  Some calculators display angle mode with a small letter at the top of the display, D, R, or G usually.

The left side of the equation produces just x.

\(\sin{x}=.945\\\\\sin^{-1}(\sin{x})=\sin^{-1}(.945)\\x=\sin^{-1}(.945) \approx 70.9^\circ\)

It would take approximately 1.20 hours (or 1 hour and 12 minutes) for the runner to finish the 11 km race at a pace of 5.7 mi/hr.

To determine how long it would take a runner to finish an 11 km race at a pace of 5.7 mi/hr, we need to convert the pace from miles per hour to kilometers per hour. Once we have the pace in kilometers per hour, we can calculate the time it takes to cover 11 km.

1 mile is approximately equal to 1.60934 kilometers.

So, the pace of 5.7 mi/hr is equal to 5.7 * 1.60934 km/hr ≈ 9.17 km/hr.

Now, we can calculate the time it takes to cover 11 km at a pace of 9.17 km/hr:

Time = Distance / Speed

Time = 11 km / 9.17 km/hr

Time ≈ 1.20 hours

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The critical value can be used as a positive one-tailed rejection region with a total area of 0.05 of 1.96

The given parameters are:

The null hypothesis, \(H_{0} : \mu = 20\)

The alternate hypothesis, \(H_{0} : \mu < 20\)

The total area of Significance level = 0.05

Since the alternate hypothesis is represented by a less-than-inequality sign, then it means that the test is a one-tailed test

The critical value of the test statistic for the significance level of 0.05 for a one-tailed test

\(\alpha = 0.05\)

\(Critical\; value \;(z) = \frac{\alpha }{2} = \frac{0.05}{2} = 0.025\)

Hence, the critical value (Z) with a p-value of 0.025 using the z score calculator can be used as +1.96.

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Answer: random sampling

Step-by-step explanation:

Because psychologists generally use college students as research participants, the research does not involve random sampling.

Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.

The measure of DE, given that Triangle ABC is similar to Triangle DEF, is 53. 09 units .

To find the measure of DE, you need to use the corresponding sides of BC and EF to find the scale factor that shows the difference in the sizes of corresponding sides.

The scale factor is:

= 31 / 8

= 3. 875

Now, since the value of the corresponding side of AB is 13.7 units, the measure of DE would be :

= 13. 7 x 3. 875

= 53. 09 units

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Answer:

B

Step-by-step explanation:

3+3 = 6 which is not more than 6 hours

3 x $25 = $75

3 x $15 = $45

$75 + $45 = $120

The normal to the parabola\(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20).

To find the normal to the paraboloid\(z = x^2 + y^2\) at points (3, 3, 18), we first need to find the slope of the surface at that point. The gradient vector is given by

\(∇f(x,y,z) = < 2x, 2y, -1 >\)

So the gradient vector at points (3, 3, 18) is

∇f(3, 3, 18) = <6, 6, -1>

This gradient vector is orthogonal to the plane tangent to the surface at the point (3, 3, 18). So the surface normal at this point is parallel to the gradient vector and can be expressed as

x = 3 + 6t

y = 3 + 6t

z = 18 - t

To discover where this line converges the parabola once more, we ought to substitute the x, y, and z equations into the parabola's condition. 

\(z = x^2 + y^2\)

So it looks like this:

\(18 - t = (3 + 6t)^2 + (3 + 6t)^2\)

\(18 - t = 18t^2 + 36t + 18\)

\(0 = 18t^2 + 37t\)

t=0 or t=-37/18

The value t = 0 corresponds to the starting point (3, 3, 18), so we are interested in the second value t = -37/18. Substituting this value into the normal equation gives:

x = 3 + 6(-37/18) = -1/3

y = 3 + 6(-37/18) = -1/3

z=18-(-37/18)=360/18=20

therefore, the normal to the parabola \(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20). 

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Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

Answer:

X=50

Step-by-step explanation:

Answer:

10.50 Decimal form

Step-by-step explanation:

Answer:

im pretty sure its the last one

Step-by-step explanation:

Answer:

be

Step-by-step explanation:

Answer: C

Step-by-step explanation:

domain is all the x, and range is all the y listed out

The Production Possibility Curve is a graphical representation that illustrates the different combinations of two goods that can be produced within an economy using available resources and technology.

It demonstrates the concept of trade-offs and opportunity costs that arise when resources are allocated between the production of different goods.

The PPC is typically shown as a curve on a graph with one good plotted on the x-axis and the other on the y-axis. The curve represents the maximum attainable production levels of both goods given the available resources, technology, and efficiency. The shape of the curve is concave, indicating increasing opportunity costs.

The PPC demonstrates the fundamental economic principle of scarcity, as it shows the limited nature of resources and the need to make choices. Points on the curve represent efficient allocation of resources, while points inside the curve represent underutilization of resources, and points outside the curve are unattainable with the given resources.

The PPC helps economists analyze production efficiency, resource allocation, and the potential for economic growth by understanding the trade-offs between different goods or services.

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The directional derivative of the function \(h(x, y) = e^{-8x}\sin(y)\) at point \(p(1, 2)\) in the direction of \(v = -i\) is \(-8e^{-8}\cos(2)\).



To find the directional derivative of a function, we need to calculate the dot product between the gradient of the function and the direction vector.

First, let's find the gradient of the function \(h(x, y)\). The gradient is a vector that consists of the partial derivatives of the function with respect to each variable.

Taking the partial derivatives of \(h(x, y)\) with respect to \(x\) and \(y\), we get:

\(\frac{\partial h}{\partial x} = -8e^{-8x}\sin(y)\)
\(\frac{\partial h}{\partial y} = e^{-8x}\cos(y)\)

Now, we can evaluate the gradient of \(h\) at point \(p(1, 2)\):

\(\nabla h(1, 2) = \left(-8e^{-8(1)}\sin(2), e^{-8(1)}\cos(2)\right) = \left(-8e^{-8}\sin(2), e^{-8}\cos(2)\right)\)

Next, we need to calculate the dot product between the gradient \(\nabla h(1, 2)\) and the direction vector \(v = -i\). Since \(v\) is a unit vector in the negative x-direction, the dot product simplifies to:

\(\nabla h(1, 2) \cdot v = \left(-8e^{-8}\sin(2), e^{-8}\cos(2)\right) \cdot (-1, 0) = -8e^{-8}\cos(2)\)

Therefore, the directional derivative of \(h(x, y) = e^{-8x}\sin(y)\) at point \(p(1, 2)\) in the direction of \(v = -i\) is \(-8e^{-8}\cos(2)\).

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The physical characteristics of a landscape and can be used in various applications such as habitat modeling and land-use planning.

A metric that measures terrain ruggedness as the variation in three-dimensional orientation of grid cells within a neighborhood is called Terrain Ruggedness Index (TRI). This index is used to quantify the variation in elevation in a specific area. It measures the difference between the elevation of a central grid cell and the average elevation of the surrounding grid cells. The greater the difference, the higher the ruggedness of the terrain. The TRI is a useful measure for understanding the physical characteristics of a landscape and can be used in various applications such as habitat modeling and land-use planning.

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Plus means addition and square root means √

3 plus the square root of negative 16: 3 + √-16

Minus means subtraction and square root means √

6 minus the square root of negative 64: 6 - √-64

Its asking you to multiply both quantities.

(3 + √-16) * (6 - √-64)

Best of Luck!

Answer:

18-32i^2

Step-by-step explanation:

3 + the negative square root of 16 would simplify to 4i

so it will be (3+4i)

6 - the negative square root of 64 would simplify into 8i

so it will be (6-8i)

To solve (3+4i)(6-8i) use FOIL and add like terms

a. The median number of calls = 55

b. The first and third quartiles, Q1 = 48 and Q3 = 66

c. The first decile and the ninth decile, D1 = 45 and D9 = 71.

d. The 33rd percentile = 52.5

To answer the questions, let's first organize the data in ascending order:

38 40 41 45 48 48 50 50 51 51 52 52 53 54 55 55 55 56 56 57 59 59 59 62 62 62 63 64 65 66 66 67 67 69 69 71 77 78 79 79

(a) The median is the middle value of a dataset when arranged in ascending order.

Since we have 40 observations, the median is the value at the 20th position.

In this case, the median is the 55th visit.

(b) The quartiles divide the data into four equal parts.

To find the first quartile (Q1), we need to locate the position of the 25th percentile, which is 40 * (25/100) = 10.

The first quartile is the value at the 10th position, which is 48.

To find the third quartile (Q3), we need to locate the position of the 75th percentile, which is 40 * (75/100) = 30.

The third quartile is the value at the 30th position, which is 66.

Therefore, Q1 = 48 and Q3 = 66.

(c) The deciles divide the data into ten equal parts.

To find the first decile (D1), we need to locate the position of the 10th percentile, which is 40 * (10/100) = 4.

The first decile is the value at the 4th position, which is 45.

To find the ninth decile (D9), we need to locate the position of the 90th percentile, which is 40 * (90/100) = 36.

The ninth decile is the value at the 36th position, which is 71.

Therefore, D1 = 45 and D9 = 71.

(d) To find the 33rd percentile, we need to locate the position of the 33rd percentile, which is 40 * (33/100) = 13.2 (rounded to 13). The 33rd percentile is the value at the 13th position.

Since the value at the 13th position is between 52 and 53, we can calculate the percentile using interpolation:

Lower value: 52

Upper value: 53

Position: 13

Percentage: (13 - 12) / (13 - 12 + 1) = 1 / 2 = 0.5

33rd percentile = Lower value + (Percentage * (Upper value - Lower value))

                = 52 + (0.5 * (53 - 52))

                = 52.5

Therefore, the 33rd percentile is 52.5.

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Answer:

3/4

Step-by-step explanation: