1. In regression analysis, the response variable is the (a) independent variable (b) dependent variable (e) slope of the regression function. (d) intercept 2. Someone tells you that the odds they will pass a class are 7 10 4. What is the probability that they will pass the class? (a) 1.75 (b) 0.6364 (c) 0.3636 (d) This cannot be determined from the given information 3. The scatter chart below displays the residuals versus the fitted dependent value. Which of the following conclusions can be drawn based upon this scatter chart? € S2 & 15 10 (a) The model fails to capture the relationship between the variables accurately. (b) The model overpredicts the value of the dependent variable for small values and large values of the independent variable. (c) The residuals have a constant variance. (d) The residuals are normally distributed. 4. In a regression and correlation analysis, if R = 1, then (a) SSE must be equal to zero (b) SSE must be negative (c) SSE can be any positive value (d) SSE must also be equal to one

Answer:

12 sides

Step-by-step explanation:

the sum of the exterior angles of a polygon is 360°

since the polygon is regular then the exterior angles are congruent

number of sides = 360° ÷ 30 = 12

Answer:

12.

Step-by-step explanation:

Answer:

x = 8.58

Step-by-step explanation:

The value of x is 8.58 in the equation 4 •In x = 8.6.

Two or more expressions with an Equal sign is called as Equation.

To solve for x in the equation 4ln(x) = 8.6, we need to isolate x.

Divide both sides by 4 to get:

ln(x) = 8.6/4

Simplifying the right-hand side, we get:

ln(x) = 2.15

Next, we can exponentiate both sides using e as the base, which is the inverse of the natural logarithm function:

\(e^l^o^g^x = e^2^.^1^5\)

Simplifying the left-hand side using the inverse property of logarithms, we get:

\(x=e^2^.^1^5\)

x=8.58

Hence, the value of x is 8.58 in the equation 4 •In x = 8.6.

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The converted value of the 12inches to millimeters using scale factor is equal to ( 304.8 ) millimeters .

One inch is equal to 25.4 millimeters

Now multiply both the side of the expression by 12 we get,

⇒ ( 12 × 1 ) inches = ( 12 × 25.4 ) millimeters

⇒ 12 inches = ( 304.8 ) millimeters

Therefore, using the scale factor of inches to millimeter the required 12 inches is equal to 304.8 millimeters.

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There are 45 possible choices for the five members.

There are ten people on the debate team, but only two of them can be in position 5. Positions 1 through 4 can be filled by any 10 members. Using the combination formula nCr, where n is the total number of items and r is the number of items chosen from that set, we can determine the number of ways to select these five members.

In this instance, we have 10C2, which simplifies to 10!/(2!(10-2)!)) or 10 items chosen from a set of 10. This can be reduced to 45, or 109/2. As a result, there are 45 ways to select the five debate team members.

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the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0.

a. P(X<1.8) = .25(1.8) + .5 = .95

b. P(X>-1.5) = .25(-1.5) + .5 = .375

c. P(X<-2) = 0

d. P(-1.5<X<2) = .25(2) + .5 - (.25(-1.5) + .5) = .875

a. For the probability P(X<1.8), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in 1.8 for x in the function to get F(1.8) = 0.25(1.8) + 0.5 = 0.95. Therefore, P(X<1.8) = 0.95.

b. For the probability P(X>-1.5), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375. Therefore, P(X>-1.5) = 0.375.

c. For the probability P(X<-2), we use the cumulative distribution function F(x) = 0 for x < -2. We plug in -2 for x in the function to get F(-2) = 0. Therefore, P(X<-2) = 0.

d. For the probability P(-1.5<X<2), we use the cumulative distribution function F(x) = 0.25x + 0.5 for -2 <= x < 2. We plug in -1.5 and 2 for x in the function to get F(-1.5) = 0.25(-1.5) + 0.5 = 0.375 and F(2) = 0.25(2) + 0.5 = 0.95. Therefore, P(-1.5<X<2) = 0.95 - 0.375 = 0.875.

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Answer:

15 2/3

Step-by-step explanation:

1 x 2/3 + 15=2/3+15=15 2/3

Answer: 15 2/3

Step-by-step explanation:

1. Times the 1 and the two-thirds.

1 * 2/3 = 2/3

2. Add two-thirds and fifteen.

2/3 + 15 = 15 2/3

At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.

Based on the given conditions,

The analyst or researcher establishes a null hypothesis based on the research question or problem that they are trying to answer. Depending on the question, the null may be identified differently. For example, if the question is simply whether an effect exists (e.g., does X influence Y?) the null hypothesis could be H0: X = 0. If the question is instead, is X the same as Y, the H0 would be X = Y. If it is that the effect of X on Y is positive, H0 would be X > 0. If the resulting analysis shows an effect that is statistically significantly different from zero, the null can be rejected.

Let's start by outlining the research's null and alternate hypotheses;

A newsletter publisher believes that 60`% of their readers own a Rolls Royce.

This means that the null hypothesis is:

H0: p = 0.48

That is, that the proportion of their readers who own a Rolls Royce is of 0.48.

A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim.

The alternate hypothesis is:

Ha: p ≠ 0.48

Now that he fails to disprove the null hypothesis based on the evidence, we will draw the following conclusion:

Therefore,

At the 0.10 level of significance, the evidence is insufficient to disprove the assertion that the proportion is 48%.

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Hey there!

Opposite sides are congruent:

all of them

opposite angles are congruent

rectangle and square

all sides are congruent

rhombus and square

diagonals congruent:

rectangle, rhombus, and square

diagonals are perpendicular

square and rhombus

Have a terrificly amazing day!

Answer:

a is 16 yards hope this helps

Step-by-step explanation:

The root of f(x) = tan(x) - sqrt(3) is approximately x = 1.7321 using the secant method with initial points x0 = 1 and x1 = 2.

To use the secant method to find an approximation to >/3 correct to within 10^-4, we will follow these steps:

1. Choose two initial points, x0 and x1, such that f(x0) and f(x1) have opposite signs. This ensures that there is at least one root of f(x) between x0 and x1.

2. Calculate the next approximation, xn+1, using the formula:
xn+1 = xn - f(xn) * (xn - xn-1) / (f(xn) - f(xn-1))

3. Continue calculating xn+1 until the desired level of accuracy is reached, i.e., |xn+1 - xn| < 10^-4.

To compare the results to exercise 9 of section 2.2, we need to know the function and initial points used in that exercise. Let's assume that exercise 9 asked us to find the root of the function f(x) = x^3 - 2x - 5 using the secant method and initial points x0 = 2 and x1 = 3.

Using the formula above, we can calculate the next approximations as follows:
x2 = 3 - f(3) * (3 - 2) / (f(3) - f(2)) = 2.384615
x3 = 2.384615 - f(2.384615) * (2.384615 - 3) / (f(2.384615) - f(3)) = 2.094551
x4 = 2.094551 - f(2.094551) * (2.094551 - 2.384615) / (f(2.094551) - f(2.384615)) = 2.094554

We can see that the root of f(x) = x^3 - 2x - 5 is approximately x = 2.0946 using the secant method with initial points x0 = 2 and x1 = 3.
To compare this result to the approximation of >/3, we need to know the function whose root is >/3. Let's assume that it is f(x) = tan(x) - sqrt(3) and that we choose initial points x0 = 1 and x1 = 2. Using the secant method as described above, we can calculate the next approximations as follows:

x2 = 2 - f(2) * (2 - 1) / (f(2) - f(1)) = 1.770188

x3 = 1.770188 - f(1.770188) * (1.770188 - 2) / (f(1.770188) - f(2)) = 1.730693

x4 = 1.730693 - f(1.730693) * (1.730693 - 1.770188) / (f(1.730693) -

f(1.770188)) = 1.732051

We can see that the root of f(x) = tan(x) - sqrt(3) is approximately x =

1.7321 using the secant method with initial points x0 = 1 and x1 = 2.

Therefore, we can conclude that the approximations obtained using the

secant method for these two functions are different, as expected, since

they have different roots and initial points.

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Answer:

112 degrees

Step-by-step explanation:

Answer:

(a) 30 feet

(b) 30 feet.

Step-by-step explanation:

Given that the opening of a tunnel that travels through a mountainside can be modeled by

\(y=\frac{-2}{15} (x-15)(x+15)\), where x and y are measured in feet.

\(\Rightarrow y=\frac{-2}{15}(x^2-15^2}\)

\(\Rightarrow y=\frac{-2}{15}{x^2-225}\cdots(i)\)

(a) At the ground level, \(y=0\)

So, the width of the tunnel at ground level is distance between the extreme point of the tunnel on the grount.

For, \(y=0\), the extreme points of the tunnel.

\(0=\frac{-2}{15} (x-15)(x+15)\)

\(\Rightarrow (x-15)(x+15) =0\)

\(\Rightarrow x= 15, -15\)

So, the extreme points of the tunnel are, \(x_1=15\) and \(x_2=-15\).

Hence, the width of the tunnel at the ground level

\(= | x_1 - x_2 |\)

\(=|15-(-15)|\)

\(=30\) feet.

(b) The maximum height of the tunnel can be determiment by determining the maxima of the given function.

First determining the value of x for which the slope of the graph is zero.

\(\frac{dy}{dx}=0\)

From equation (i),

-2x=0

\(\Rightarrow x=0\)

And  \(\frac{d^2y}{dx^2}= -2\)

which is always negative, so at x=0 the value of y is maximum.

Again, put x=0 in equation (i), we have

\(y=\frac{-2}{15}{0^2-225}\)

\(\Rightarrow y=30\) feet.

Hence, the tunnel is 30 feet tall.

Mr. Agber needs to employ 48 workers to cultivate his 8 acres of farmland in 6 days. The exact relationship between the parameters is W × D = K × L, and the constant (K) in this case is 36.

To solve this problem, we can use the concept of direct variation. The relationship between the number of workers, the size of the land, and the number of days can be expressed as follows:

Number of Workers (W) × Number of Days (D) = Constant (K) × Size of the Land (L)

In Mr. Agber's case, we know the initial situation is:

20 workers × 9 days = K × 5 acres

To find the constant, K, we can rearrange the equation:

K = (20 workers × 9 days) / 5 acres
K = 180 / 5
K = 36

Now that we have the constant, we can use it to determine the number of workers needed for the 8 acres of land in 6 days:

W × 6 days = 36 × 8 acres

Again, rearrange the equation to find the number of workers, W:

W = (36 × 8 acres) / 6 days
W = 288 / 6
W = 48 workers

So, Mr. Agber needs to employ 48 workers to cultivate his 8 acres of farmland in 6 days. The exact relationship between the parameters is W × D = K × L, and the constant (K) in this case is 36.

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A prism is a three-dimensional shape with the same cross-section all the way through.

A prism is a solid shape that is bound on all its sides by plane faces.

A prism is a type of three-dimensional (3D) shape with flat sides. It has two ends that are the same shape and size (and look like a 2D shape).It has the same cross-section all along the shape from end to end; that means if you cut through it you would see the same 2D shape as on either end.

Hence, a prism is a three-dimensional shape with the same cross-section all the way through.

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The kinetic energy of the Mars Climate Orbiter spacecraft is approx    3.31 x 10^7 joules.

To determine the kinetic energy of the Mars Climate Orbiter spacecraft, we can use the formula:

Kinetic energy = (1/2) * mass * velocity^2

Given:

Mass of the spacecraft (m) = 629 kg

Velocity of the spacecraft (v) = 1.20 x 10^4 km/h

First, we need to convert the velocity from km/h to m/s:

1 km = 1000 m

1 h = 3600 s

Velocity in m/s = (1.20 x 10^4 km/h) * (1000 m/km) / (3600 s/h) ≈ 333.33 m/s

Now, we can calculate the kinetic energy:

Kinetic energy = (1/2) * (629 kg) * (333.33 m/s)^2

Kinetic energy ≈ 3.31 x 10^7 joules

Therefore, the kinetic energy of the Mars Climate Orbiter spacecraft is approximately 3.31 x 10^7 joules.

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The average velocity for the [3,4] is 27m/s and for [4,5] is 37m/s

The average velocity can be found by taking the derivative of the position function and evaluating it at the midpoint of the interval.

The average velocity on the interval [3,4] is given by (s(4) - s(3)) / (4 - 3), which is equal to (s(4) - s(3)) / 1. Using the position function, s(t) = 5t^2 - 8t + 13, we find that s(4) = 5(4²) - 8(4) + 13 = 61 and s(3) = 5(3²) - 8(3) + 13 = 34. Therefore, the average velocity on the interval [3,4] is (61 - 34) / 1 = 27 m/s.

The average velocity on the interval [4,5] is given by (s(5) - s(4)) / (5 - 4), which is equal to (s(5) - s(4)) / 1. Using the position function, s(t) = 5t² - 8t + 13, we find that s(5) = 5(5²) - 8(5) + 13 = 98 and s(4) = 5(4²) - 8(4) + 13 = 61. Therefore, the average velocity on the interval [4,5] is (98 - 61) / 1 = 37 m/s.

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The descending values of the numbers is 0.98 > 0.925 > 0.88 > 0.7

Given data ,

Let the numbers be represented as A

Now , the value of A is

A = { 0.98 , 0.925 , 0.88 , 0.7 }

And , arranging in the descending order means from the greatest to the least value

So , the value of A is 0.98 > 0.925 > 0.88 > 0.7

Hence , the descending order is 0.98 > 0.925 > 0.88 > 0.7

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9514 1404 393

Answer:

Step-by-step explanation:

Let a represent the number of adults that attended. Then 2a is the number of children, and (249 -a -2a) is the number of students. The total revenue is ...

  5(2a) +7(249 -3a) +12a = 1806

  a +1743 = 1806 . . . . simplify; next, subtract 1743

  a = 63 . . . . . . . . adults

  2a = 126 . . . . . . children

  249 -3a = 60 . . students

126 children, 63 adults, and 60 students attended.

Answer:

495cm

Step-by-step explanation:

so for a second forget about the already 12 meters. Multiply 15 by the amount of months, in this case 40 so 12x40= 480. Then add the 15, so its 495cm tall

Answer:

The height is 7 units the length is 12 units.

Step-by-step explanation:

It's 6 and 6 for the graph one.

Answer:

66

Step-by-step explanation:

180 - 114)  These angles are supplemental.  They add to 180

66

Answer:

m<6=66°

Step-by-step explanation:

Because m<2 and m<3 are both on a straight line, we know they must add to 180°:

m<2 + m<3 =180

We know m<3=114°, so:

m<2 +114 = 180

m<2 = 66

Since AB|CD, m<2 and m<6 are corresponding angels, making them equal, and so m<6=66°.

Option C is correct.  Less than 100  is closest to total deaths resulting from ladder misuse each year.

According to the Consumer Product Safety Commission (CPSC), on average, approximately 300 people die each year in the United States from falls involving ladders.

However, not all of these deaths are due to ladder misuse. In fact, the number of deaths resulting specifically from ladder misuse is likely to be lower. It is estimated that a significant portion of ladder-related fatalities are caused by factors such as overreaching, misusing the ladder, or failing to follow proper safety guidelines.

To reduce the number of deaths and injuries resulting from ladder misuse, it is important to follow safety guidelines and to choose the right ladder for the job, taking into consideration factors such as height, weight, and stability.

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Given that the amount spent on books by Canadians follows a normal distribution with a mean of $72.12 and a standard deviation of $10.61, we can calculate the probabilities of a randomly selected Canadian spending more than $69.4 and less than $90.1 per year on books.

1. To find the probability of a randomly selected Canadian spending more than $69.4 on books, we need to calculate the area under the normal distribution curve to the right of $69.4. This can be done by standardizing the value and using the standard normal distribution table or a calculator. Standardizing the value, we get:

Z = (69.4 - 72.12) / 10.61 = -0.256

Looking up the corresponding area in the standard normal distribution table or using a calculator, we find that the probability is approximately 0.60.

Therefore, the probability of a randomly selected Canadian spending more than $69.4 per year on books is 0.60 or 60%.

2. Similarly, to find the probability of a randomly selected Canadian spending less than $90.1 on books, we need to calculate the area under the normal distribution curve to the left of $90.1. Standardizing the value, we get:

Z = (90.1 - 72.12) / 10.61 = 1.69

Looking up the corresponding area, we find that the probability is approximately 0.9545.

Therefore, the probability of a randomly selected Canadian spending less than $90.1 per year on books is approximately 0.9545 or 95.45%.

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Step-by-step explanation:

in order to be able to decide each case we need the slopes of all involved lines.

and that means we need to bring all of the equating into a "y = ..." form, because then the slope is always the factor of x.

parallel lines have the same slope.

the slopes of perpendicular lines (intercept at a right angle) have the y/x ratio turned upside-down and a flipped sign : -x/y.

"neither" is everything else.

our reference line

x + 2y = 6

2y = -x + 6

y = -1/2 x + 3

so, the reference slope is -1/2.

y = -1/2 x - 5 is parallel (same slope).

-2x + y = -4

y = 2x - 4 perpendicular (2/1 vs. -1/2)

-x + 2y = 2

2y = x + 2

y = 1/2 x + 1 neither

x + 2y = -2 parallel (as the structure except for the constant part is the same as our reference line).

2y = -x - 2

y = -1/2 x - 1

The given polygon has four vertices with coordinates: w(11, 2), x(11, 8), y(14, 8), and z(14, 2). To find the perimeter of the polygon, we need to calculate the sum of the lengths of all its sides.

The area of the polygon can be found using the formula for the area of a quadrilateral, which involves the coordinates of its vertices.

To calculate the perimeter, we need to find the lengths of each side. The sides of the polygon can be determined by calculating the distance between consecutive vertices.

The lengths of the sides are as follows:

wx = 8 - 2 = 6 units

xy = 14 - 11 = 3 units

yz = 8 - 2 = 6 units

zw = 14 - 11 = 3 units

Adding up the lengths of all sides, we get the perimeter:

Perimeter = wx + xy + yz + zw = 6 + 3 + 6 + 3 = 18 units.

To find the area of the polygon, we can use the formula for the area of a quadrilateral:

Area = (1/2) * |(x1y2 + x2y3 + x3y4 + x4y1) - (y1x2 + y2x3 + y3x4 + y4x1)|

Plugging in the coordinates of the vertices, we have:

Area = (1/2) * |(11*8 + 11*8 + 14*2 + 14*2) - (2*11 + 8*14 + 8*14 + 2*11)| = 64 square units.

Therefore, the perimeter of the polygon is 18 units and the area is 64 square units.

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The change in potential energy of the car coasts along the hill will be 662,292.459 Joule.

We have,

Length of coasts along the hill = 62.2 meters,

And,

The angle car make with the ground = 28.3°,

And,

The mass of the car = 1234 kg,

Now,

We know,

From the Work Energy Theorem that,

The change in Potential energy = The work done on the mass.

And,

Work done i.e. W = F × s × CosΘ

Here,

F = Force,

s = Distance car cover,

And,

Θ = Angle car make with the ground,

And,

We know that,

Force i.e. F = mass × acceleration due to gravity = m × g

And,

g= Acceleration of gravity = 9.8 m/s²

So,

Now,

Putting values,

i.e.

F = 1234 × 9.8 = 12093.2 Newton

Now,

Using the Formula of Work done,

i.e.

W = F × s × CosΘ,

Putting values,

i.e.

W = 12093.2 × 62.2 × Cos(28.3°)

On solving we get,

W = 662,292.459 Joule

So,

Chane in potential energy = 662,292.459 Joule

Hence we can say that the change in potential energy of the car coasts along the hill will be 662,292.459 Joule.

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Answer:

A

Step-by-step explanation:

The answer is a because it is the one that is true and because it is the result

Hope this helps:)

Pls mark brainlist

Answer:

(10 * 10)

Hope that this helps!