A company that manufactures riding mowers wants to identify the best sales prospects for an intensive campaign. In particular, the manufacturer is interested in classifying households as prospective owners or nonowners on the basis of Income (in $1000s) and Lot Size (in 1000 ft2 ). The marketing expert looked at a random sample of 24 households, given in the file RidingMowers.csv. (below) Use all the data to fit a logistic regression of ownership on the two predictors. (The positive class is "owner".)
Questions:
A: Among nonowners, what is the percentage of households classified correctly? Use cutoff =0.6.
B: To increase the percentage of correctly classified owners, should the cutoff value be increased or decreased?
C: What are the odds that a household with a $62K income and a lot size of 18,000 ft2 is an owner?
D: What is the classification of a household with a $62K income and a lot size of 18,000 ft2 (also provide the probability)? Use cutoff =0.4.
Income Lot_Size Ownership
60 18.4 Owner 85.5 16.8 Owner 64.8 21.6 Owner 61.5 20.8 Owner 87 23.6 Owner 110.1 19.2 Owner 108 17.6 Owner 82.8 22.4 Owner 69 20 Owner 93 20.8 Owner 51 22 Owner 81 20 Owner 75 19.6 Nonowner
52.8 20.8 Nonowner
64.8 17.2 Nonowner
43.2 20.4 Nonowner
84 17.6 Nonowner
49.2 17.6 Nonowner
59.4 16 Nonowner
66 18.4 Nonowner
47.4 16.4 Nonowner
33 18.8 Nonowner
51 14 Nonowner
63 14.8 Nonowner

Answer:

66

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

To determine the minimum score needed to ensure that you are in the top 7%, we need to find the z-score associated with the top 7% and then convert it back to the raw score.

The top 7% corresponds to an area of 0.07 under the standard normal distribution curve. To find the z-score associated with this area, we can use a standard normal distribution table or a calculator.

Using a standard normal distribution table or calculator, we find that the z-score corresponding to an area of 0.07 is approximately 1.4051.

To convert this z-score back to the raw score, we can use the formula:

x = z * standard deviation + mean

Substituting the values into the formula, we get:

x = 1.4051 * 100 + 500

x ≈ 140.51 + 500

x ≈ 640.51

Therefore, the minimum score needed to ensure that you are in the top 7% is approximately 640.51.

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Answer: The area is 6.5

Answer:

-3

Step-by-step explanation:

Step 1: Solve (-2+(-1))^2/3 3

           1. -2+(-1) = -3

           2. (-3)^2 = 9

           3. 9/3 = 3

Step 2: Solve (-4)^2-17 -1

           1. 3/-1

Step 3: Simplify 3/-1 = -3. I hope this helped and please don't hesitate to reach out with more questions!

Answer:

z = -1

Step-by-step explanation:

Answer:

possibly b,c,d

Step-by-step explanation: B, C, D because a doesn't have a -t, my teacher taught me to see which one is different.

Answer:

(- 3, 7 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( \(\frac{x_{1}+x_{2} }{2}\) , \(\frac{y_{1}+y_{2} }{2}\) )

Here (x₁, y₁ ) = (0, 11) and (x₂, y₂ ) = (- 6, 3) , then

midpoint = ( \(\frac{0-6}{2}\), \(\frac{11+3}{2}\) ) = ( \(\frac{-6}{2}\), \(\frac{14}{2}\) ) = (- 3, 7 )

Answer:

(-3,7)

hope it helps........

The Probability Density Function  (P.D.F) is : f(x) = {-2013e^(-2013x) for x ≥ 0, and 0 otherwise}.

The continuous random variable, X, has an inverse exponential distribution with parameter, λ

The probability density function (P.D.F) of a random variable is defined as the derivative of the cumulative distribution function (C.D.F) of the variable.

The cumulative distribution function is expressed as: P(X < x) = F(x)

Where F(x) is the C.D.F function of the random variable X.

In this case, since the random variable is an inverse exponential distribution, then the C.D.F is given by:F(x) = P(X ≤ x) = 1 - e^(-λx) where λ > 0 and x > 0.

This means that the P.D.F function, f(x) is given by the derivative of the C.D.F as follows:

f(x) = d/dx(F(x))

f(x) = d/dx(1 - e^(-λx))

          = λe^(-λx) where λ > 0 and x > 0

Therefore, the P.D.F is:f(x) = λe^(-λx) where λ > 0 and x > 0.

Assuming the inverse exponential distribution holds, find k such that:

f(x)={ ke−2013x  0x≥0

otherwise ​is a legitimate function.

We know that: f(x) = ke^(-2013x) for x ≥ 0 and 0 otherwise Also, we know that: ∫f(x)dx = 1, and f(x) ≥ 0 on the interval (0, ∞).

Therefore, we can integrate f(x) from 0 to ∞ as follows:∫(0, ∞) f(x) dx = ∫(0, ∞) ke^(-2013x) dx = k∫(0, ∞) e^(-2013x) dx => k[-e^(-2013x)/2013] from 0 to ∞

Using limits to evaluate k[-e^(-2013x)/2013] from 0 to ∞, we get:

lim x→∞ [-e^(-2013x)/2013] = 0, and [-e^(-2013(0))/2013] = -1/2013

Therefore, k[-e^(-2013x)/2013] from 0 to ∞ = k(-1/2013) = 1=>

k = -2013.

Hence, the P.D.F is:f(x) = {-2013e^(-2013x) for x ≥ 0, and 0 otherwise}.

This is a legitimate P.D.F function since f(x) > 0 for all x > 0, and ∫f(x)dx = 1.

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Answer:

$94.24

Step-by-step explanation:

Given :

Diameter of circular slab = 18feet

Thickness of slab = 3 inches ; inches to ft = 3 /12 = 0.25 feets

Volume of slab = πd²t/4 = (π*18²*0.25) / 4 = 63.6 ft³

1 cubic yard = 27 feet

Volume in yard = 63.6 / 27 = 2.356 yd³

Concrete = $40 per yd³

Cost = $40 * 2.356 = $94.24

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Answer:

$126

Step-by-step explanation:

$252/$18=$14 dollars per hour.

now take 14*9 and you get $126.

Answer:

$126

Step-by-step explanation:

Okay, so to solve this question, we need to get from 18 (hours) to 9. To do this, we obviously divide 18 by 2. Since we did this, we now have to do the same thing with the other side ($252.) 252 divided by 2 is 126. This means that if Chau made $252 in 18 hours,  he will make $126 in 9 hours.

Have a nice day! :)

Answer:

y = 740x - 400

Step-by-step explanation:

You need to find what b(the y-intercept) is in the equation.

y = mx + b, where x is the time in hours and m is your slope

They told us the slope m(the rate of change), which is constant at 740 meters per hour. Think of a straight line with a positive slope. We just need to find b.

We know that when x = 1.5, y = 710 meters above sea level. Write this as (1.5, 710) and substitute in your equation to find b.

y = 740x + b

710 = 740(1.5) + b

710 = 1110 + b

-400 = b

Now put together the entire equation since you have all the info you need using the slope intercept form: y = mx + b

Therefore, y = 740x - 400

\( \large \boxed{ \boxed{ \sqrt{3.5} }}\)

In this case, we are going to use the 'Babylonian method to get the square root of any positive number.We must define an error for the final result.Say, less than 0.01. In other words, we will try to find the value of the square root to at least 1 correct decimal places.

Step 1:

Step 2:

approach).

Step 3:

Note: There are other ways to calculate square root. This is just one of them.

\( \bold{brainlymentalmente}\)

Answer:

*2.5

Step-by-step explanation:

15*2.5=37.5

7*2.5=17.5

We have a segment with 3 points. The complete segment goes from A to C, and point B divides it in 2 sibsegments (AB and BC)

Note that segment AC is composed by those 2 subsegments, so its complete legth will be equal to the sum of the leghts of subsegments AB and BC. Then, we can build the following equation:

As we know the lengths in terms of x, we just need to replace in the previous equation:

Now, we can solve for x:

Answer:

375 dollars.

Step-by-step explanation:

1 month's payment = $125

3 month's payment = 3*$125 = $375

Answer:

$375

Step-by-step explanation:

she paid 3 TIMES (125)

3x125= 375

hope this helps

The formulas used to determine the shape and volume of a box made out of three vectors are invariant to the order of the vectors because they are based on the properties of the vectors themselves, such as their magnitudes and angles, rather than their specific arrangement.

The order of vectors does not affect the shape and volume of a box made out of three vectors because the formulas used to calculate shape and volume are based on the properties of the vectors, rather than their specific order. The shape of the box is determined by the magnitudes and directions of the vectors, while the volume is determined by the scalar triple product of the three vectors.

The shape of the box is determined by the lengths of the vectors and the angles between them. The magnitude of each vector represents its length, and the dot product between vectors gives the cosine of the angle between them. By using the dot product, we can calculate the angles between any pair of vectors, regardless of their order. This allows us to determine the shape of the box accurately.

Similarly, the volume of the box is calculated using the scalar triple product, which is a determinant involving the three vectors. The scalar triple product is independent of the order of the vectors and only depends on their magnitudes and orientations. Therefore, rearranging the order of the vectors will not change the resulting volume.

In summary, the formulas used to determine the shape and volume of a box made out of three vectors are invariant to the order of the vectors because they are based on the properties of the vectors themselves, such as their magnitudes and angles, rather than their specific arrangement.

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Answer:

86.6% ; 93.4%

Step-by-step explanation:

To obtain the population proportion from the sample, we calculate the confidence interval ;

Confidence interval = phat ± margin of error

Phat = 90% ; margin of error = +3.4%

Hence,

90% ± 3.4%

(90 - 3.4)% ; (90 + 3.4)%

86.6% ; 93.4%

Answer:

Strong negative correlation

Step-by-step explanation:

n the scatter plot attached below, as the variable in the x-axis increases, the variable on the y-axis decreases. Thus, if a line of best fit is drawn, it would show a line that slopes downwards to our right. This shows a negative correlation between both variables in the scatter plot.

Also, we also see that the data points represented on the scatter plot are clustered more closely along the slope, showing strong negative correlation.

Therefore, the phrase that best describes the scatter plot is: strong negative correlation.

The sum of all the angles that are labeled in the given vertex is 294°

In a single vertex, the three angles around the vertex are given as 55°, 64°, and 175°

We have to find the sum of all the angles that are labeled in the given single vertex.

A vertex is a point two or more lines meets.

It is the corner of a geometrical shape.

Example:

A square has 4 corners so it has 4 vertexes.

A cube has 8 corners so it has 8 vertexes.

We will add all the different angles in the single vertex as shown in the figure below.

Let,

Angle A = 55°

Angle B = 64°

Angle C = 175°

The sum of all the angles that are labeled is:

= Angle A + Angle B + Angle C

= 55° + 64° + 175°

= 294°

The sum of all the angles that are labeled in the given vertex is 294°

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Answer:

30

Step-by-step explanation:

formula :15÷100×200

Answer:

X=68

Reasoning: Corresponding Angles

Step-by-step explanation:

Corresponding angles have the same angle measure.

The required rectangle is not a golden rectangle. Option A no is correct.

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

To find the ratio of the long side to the short side, we divide the longer side by the shorter side. If the rectangle is a golden rectangle, the ratio of the long side to the short side should be approximately 1.618.

In this case, the longer side is 8.8 and the shorter side is 2. So, the ratio is 8.8/2 = 4.4. Since 4.4 is not approximately equal to 1.618, the rectangle is not a golden rectangle.

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One car was traveling at 42 mph and the other car was traveling at 43 mph (since we know one car was traveling 1 mph faster). So the average speed of each car was:  - Car 1: 42 mph and Car 2: 43 mph.

Let's call the speed of one car "x" and the speed of the other car "x+1" (since we know that one car travels 1 mph faster than the other).
We also know that they are 170 miles apart and meet in 2 hours. When two objects are moving towards each other, we can add their speeds together to find their combined speed.
So, using the formula: distance = speed x time
We can write:
170 = (x + x+1) x 2
Simplifying this equation:
170 = 2x + 2x + 2
170 = 4x + 2
168 = 4x
x = 42
Therefore, one car was traveling at 42 mph and the other car was traveling at 43 mph (since we know one car was traveling 1 mph faster).
So the average speed of each car was:
- Car 1: 42 mph
- Car 2: 43 mph

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Answer:

So we can use a simple formula. We can use the circumference formula which is - :

C = pi*2*r

aka

C = pi*d

So we can plug in the formula x = 5pi = 15.7079 or 15.71

Therefore the answer is:

The volume of the solid that is enclosed by the cone is 1.74 cube/unit

What is Volume?

A measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units. Volume and the notion of length are connected.

What is Dimension?

The minimal set of coordinates required to specify any point within a mathematical space is the dimension of that space. In light of the fact that only one coordinate is required to specify a line, it has a dimension of one.

Given,

cone z = px2 y2

sphere x2 y2 z2 = 2

r = \(\sqrt{2}\)

z = \(\sqrt{x^{2} +y^{2} }\)

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

\(x^{2} +y^{2} -z^{2}=0\)

using spherical cordinate system

\(x^{2} +y^{2} +^{2} =r^{2} \\tan θ =\frac{y}{x} \\cos θ = \frac{z}{\sqrt{x^{2} +y^{2} } }\)

volume of shaded region between cone and sphere

v = \(\frac{3^{\sqrt{2^{2} } } }{3} (\frac{-1}{\sqrt{2}+1 } 2(x)\)

v= 1.74 cube units

consecutive cone and sphere

\(x^{2} +y^{2}+x^{2} y^{2} =2\\x^{2} +y^{2} =1 at\\from cone equation\\z^{2} =x^{2} +y^{2} \\z=1\\so θ = 45 degree \\=\frac{x}{y}\)

The solid that the cone encloses has a volume of 1.74 cubes per unit.

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a. The corresponding hexadecimal representation of p(x) is 0x0D.

b. The corresponding hexadecimal representation of p(x) is 0x01.

c. Thee corresponding element of GF(256) (as a polynomial) is x^5 + x^4 + x^3 + x^2.

d. The corresponding element of GF(256) (as a polynomial) is x^6 + x^5 + x^4 + x^3 + x + 1.

a) To find the corresponding hexadecimal representation of p(x) = x^6 + x^5 + x^3 in GF(256), we can convert the polynomial coefficients to binary and then to hexadecimal.

The binary representation of p(x) is 1101010. Prepending four leading zeros to make it a byte, we get 00001101010. Converting this binary representation to hexadecimal, we have:

0000 1101 010 → 0x0D

Therefore, the corresponding hexadecimal representation of p(x) is 0x0D.

b) For p(x) = x^2 + 1, the binary representation is 00000001. Prepending six leading zeros to make it a byte, we get 00000000000001. Converting this binary representation to hexadecimal, we have:

00000000 00000001 → 0x01

Therefore, the corresponding hexadecimal representation of p(x) is 0x01.

c) The hex byte 0x3C represents the binary value 00111100. This binary value corresponds to the polynomial x^5 + x^4 + x^3 + x^2.

Therefore, the corresponding element of GF(256) (as a polynomial) is x^5 + x^4 + x^3 + x^2.

d) The hex byte 0x7D represents the binary value 01111101. This binary value corresponds to the polynomial x^6 + x^5 + x^4 + x^3 + x + 1.

Therefore, the corresponding element of GF(256) (as a polynomial) is x^6 + x^5 + x^4 + x^3 + x + 1.

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