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By using  hypothesis testing,

H₀: The voting preference of men and women are not different.

Hₐ: The voting preference of men and women are not different.

What is hypothesis testing, and how can it be used?

In statistics, hypothesis testing is the process by which a population parameter assumption is put to the test.

               Depending on the type of data used and the goal of the research, the analyst will choose a certain approach. Utilizing sample data, hypothesis testing is a method used to determine whether a hypothesis is tenable.

A hypothesis test for two proportions can be used to determine whether the preference of men differ from women in case of voting.

A Chi-square test contingency table can be used to perform the test.

The hypothesis can be defined as:

H₀: The voting preference of men and women are not different.

Hₐ: The voting preference of men and women are not different.

The test statistic is

 x² = Raw total × column total/N

Decision rule

If the p-value of the Chi-square test statistic is less than the significance level α = 0.01 then the null hypothesis will be rejected. And if the p-value is more than the significance level then the null hypothesis will not be rejected.

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The function f(x) = 5x/(x^2 + 6x + 8) has vertical asymptotes at x = -2 and x = -4.

A. To find the horizontal asymptote(s) for the function, we need to take the limit as x approaches infinity and negative infinity.

Therefore, the horizontal asymptote is y = 0.

B. To find the vertical asymptote(s) for the function, we need to determine the values of x that make the denominator of the function equal to zero.

x² + 6x + 8 = 0

We can factor this quadratic equation as:

(x + 2)(x + 4) = 0

Therefore, the vertical asymptotes are x = -2 and x = -4.

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Let's evaluate the triple integral of f(x,y,z)=1x^2+y^2+z^2√ in spherical coordinates over the bottom half of the sphere of radius 3 centered at the origin.

Step 1:Identify the limits of the integral. The given sphere is of radius 3 and centered at the origin. Since we are considering only the bottom half, the limits of the integral are given by 0 ≤ φ ≤ π/2, 0 ≤ θ ≤ 2π, 0 ≤ ρ ≤ 3.

Step 2:Write the integral in spherical coordinates. The given function is f(ρ, θ, φ) = ρ sin φ, where ρ represents the distance from the origin, θ represents the angle in the xy-plane from the positive x-axis to the projection of the point on the xy-plane, and φ represents the angle between the positive z-axis and the position vector of the point, as shown in the figure below. The triple integral can be written as follows:∭E  f(ρ, θ, φ) ρ2 sin φ dρ dφ dθ

Step 3:Integrate with respect to ρ.The limits of ρ are 0 and 3.∫03 ρ2 sin φ dρ = [ρ3/3]03 sin φ = 0

Step 4:Integrate with respect to φ.The limits of φ are 0 and π/2.∫0π/2 sin φ dφ = [-cos φ]0π/2 = 1

Step 5:Integrate with respect to θ.The limits of θ are 0 and 2π.∫02π dθ = 2π

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Answer:

Since, the coordinates of the midpoint of line GH are M(\frac{-13}{2}, -6)(

2

−13

,−6) .

The coordinates of endpoint G are (-4,1)

We have to determine the coordinates of endpoint H.

The midpoint of the line segment joining the points (x_1, y_1)(x

1

,y

1

) and (x_2, y_2)(x

2

,y

2

) is given by the formula (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})(

2

x

1

+x

2

,

2

y

1

+y

2

) .

Here, The endpoint G is (-4,1) So, x_1 = -4 , y_1=1x

1

=−4,y

1

=1

Let the endpoint H be (x_2,y_2)(x

2

,y

2

)

The midpoint coordinate M is (\frac{-13}{2}, -6)(

2

−13

,−6) .

So, \frac{-13}{2} = \frac{-4+x_2}{2}

2

−13

=

2

−4+x

2

{-13} = {-4+x_2}−13=−4+x

2

{-13}+4 = {x_2}−13+4=x

2

{x_2}=9x

2

=9

Now, -6 = \frac{1+y_2}{2}−6=

2

1+y

2

-12 = {1+y_2}−12=1+y

2

y_2= -13y

2

=−13

So, the other endpoint H is (-9,-13).

Answer:

B is the correct answer

Step-by-step explanation:

Answer:

Your answer (x + 4)2 =-11 x + 4)2 13 x + 4)221 Correct answer.

Answer:

OH YES DADDY

Step-by-step explanation:

Answer

196

Step-by-step explanation:

12*8=96+100=196

The value of length SP for the two given similar triangles is 11.

Similar triangles are triangles that have the same shape but are different in size. In other words, their corresponding angles are equal, and their corresponding sides are proportional.

This means that if you were to take one of the similar triangles and enlarge or shrink it, while keeping the angles the same, it would still be a similar triangle.

The value of length SP is calculated by applying the following method;

|SP| = |ST|

3x + 2 = 5x - 4

3x - 5x = -4 - 2

-2x = - 6

x = 3

Length SP = 3x + 2

                 = 3(3) + 2

                 = 11

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The width of the house driveway in the scale drawing is 4 inches.

Scale drawing is drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale).

Therefore, he measured a house and its lot and made a scale drawing.

The scale of the drawing was 1 inch : 5 feet.

The houses driveway is 20 feet wide in real life.

Therefore,

5 feet = 1 inch

20 feet = ?

cross multiply

Therefore,

width of the driveway on the scale drawing =  20 × 1 / 5

width of the driveway on the scale drawing =  20 / 5

width of the driveway on the scale drawing =  4 inches.

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Answer:

48.6 km/hr

Step-by-step explanation:

(135/10)×(18/5)

48.6 km/hr

Answer:

The ratio of perimeter of ABCD to perimeter of WXYZ = \(\frac{2}{3}\)

Step-by-step explanation:

First, we have to determine the multiplicative factor of the dimensions for both figures.

Considering sides AB and WX,

multiplicative factor = \(\frac{12}{8}\)

                                = 1.5

So that:

XY = 6 x 1.5 = 9

YZ = 7 x 1.5 = 10.5

ZW = 7 x 1.5 = 10.5

Perimeter of ABCD = 6 + 7 + 7 + 8

                                = 28

Perimeter of WXYZ = 9 + 10.5 + 10.5 + 12

                                 = 42

The ratio of the perimeters of the two quadrilaterals can be determined as;

ratio = \(\frac{perimeter of ABCD}{Perirmeter of WXYZ}\)

       = \(\frac{28}{42}\)

       = \(\frac{2}{3}\)

The ratio of the perimeter of ABCD to perimeter of WXYZ is \(\frac{2}{3}\).

The probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

To solve this problem, we need to use conditional probability.

The probability of drawing a white ball on the first draw is 8/13 (since there are 8 white balls and 13 total balls in the urn).

If a white ball is drawn on the first draw, then there will be 7 white balls and 5 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a white ball was drawn on the first draw, is 7/12.

If a black ball is drawn on the first draw, then there will be 8 white balls and 4 black balls left in the urn. So the probability of drawing a white ball on the second draw, given that a black ball was drawn on the first draw, is 8/12.

Now we can use the law of total probability to find the overall probability of drawing a white ball on the second draw:

P(white on second draw) = P(white on first draw) * P(white on second draw | white on first draw) + P(black on first draw) * P(white on second draw | black on first draw)
= (8/13) * (7/12) + (5/13) * (8/12)
= 56/156 + 40/156
= 96/156
= 8/13

Therefore, the probability of drawing a white ball on the second draw, without replacing the first ball, is 8/13.

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Answer:

To find the velocity of a ride and comparing how the height of a ride has to do with how fast the cart goes

Explanation:

At Six flags math can be used in a variety of ways.

For example: to find the price of a ticket that has a 5 percent tax or fiinding out how much of a difference a family package and buying individual tickets are

Answer:

18%

Step-by-step explanation:

65 + x = 76.70

x = 11.70

11.70/65 = 0.18 or 18%

It is not possible to balance the weights with the given conditions.

We have,

To balance the weights, we need to make sure the torques on both sides are equal.

Torque is calculated by multiplying the weight by the distance from the center.

Let's assume the weight on the other side, which needs to be determined, is represented by W pounds.

According to the problem, we have:

Weight 1 = 20 pounds

Distance 1 = 6 feet

Weight 2 = 30 pounds

Distance 2 = 3 feet

To balance the system, the torques on both sides must be equal:

Torque 1 = Torque 2

Weight 1 x Distance 1 = Weight 2 x Distance 2

20 pounds x 6 feet = 30 pounds x 3 feet

120 = 90

This equation is not true, which means it is not possible to balance the weights with the given conditions.

Thus,

It is not possible to balance the weights with the given conditions.

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A trapezoid has an area of 10 square units. The scale factor would be 3  to dilate the trapezoid to have an area of 90 square units.

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor.

Let the linear scale factor be k.

The area scale factor is \(k^2\)

We'll multiply the old area (10) by the area scale factor (\(k^2\) ) to get the area of 90 square units

\(10 \times k^2 = 90\\\\k^2 = \frac{90}{10} \\\\k^2 = 9\\\\k = \sqrt{9} \\\\k = 3\)approximately

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Answer:

a) 10 ; scale factor is 2

b) 15; scale factor 5

c) 1.5; scale factor is ½ or 0.5

d) 6.3; scale factor is 3

e) 24, 2; scale factor is ⅛ 0.125

f) 4.6, 9; scale factor 3⅕ or 3.2

Step-by-step explanation:

a) to get form your first term to the corepnoding term you have to divide the first term form your second term for example 6÷3 is 2 so 2 is the scale factor. You multiply 5 by 2 so 5×2 is 10 the blank is 10

b,d and f) Do the same step process like what you do for letter a to get these terms

c and e) Do the same steps as a but keep in mind that because the number in the second term are smaller the scale factor is less then 1 so for c it would be ½ as opposed to 2 since the new number is smaller

The equivalent value of the expression is N = -17

Given data ,

Let the equation be represented as A

Now , the value of A is

N + 8 = -9

On simplifying the equation , we get

N + 8 = -9

So , the left hand side of the equation is equated to the right hand side by the value of ( -9 )

Subtracting 8 on both sides of the equation , we get

N = -9 - 8

On further simplification , we get

N = -17

Therefore , the value of N = -17

Hence , the expression is N = -17

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The velocity of the airplane traveling 4500 miles West over 10 hours is 450 miles per hour. This calculation provides the speed at which the airplane is moving in the given direction.

To calculate the velocity of an airplane traveling 4500 miles West over 10 hours, we need to divide the distance traveled by the time taken.

Velocity is defined as the rate at which an object moves in a specific direction, and it is given by the formula:

Velocity = Distance / Time

In this case, the distance traveled by the airplane is 4500 miles West, and the time taken is 10 hours. Let's calculate the velocity:

Velocity = 4500 miles / 10 hours

Dividing 4500 by 10, we find:

Velocity = 450 miles per hour

Therefore, the velocity of the airplane traveling 4500 miles West over 10 hours is 450 miles per hour. This calculation provides the speed at which the airplane is moving in the given direction.

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The two F-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas for an F-curve with df = (9,7) are 0.22 and 5.60 (in ascending order).

To find the two F-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas for an F-curve with df = (9,7), we can use an F-distribution table.
First, we need to look at the row corresponding to the numerator degrees of freedom (df1 = 9) and the column corresponding to the denominator degrees of freedom (df2 = 7) in the F-distribution table.
Going to page 3 of the F-distribution, we find the intersection of the row for df1 = 9 and the column for df2 = 7. The value at this intersection is 4.03.
To find the F-values that divide the area under the curve into a middle 0.95 area and two outside 0.025 areas, we need to look for the values that correspond to areas of 0.025 and 0.975 in the F-distribution table.
Going to page 4 of the F-distribution, we find the column for df1 = 9 and the row for "Area in Two Tails" = 0.05 (since we want the outside areas to be 0.025 each). The value at this intersection is 5.60.
Similarly, we find the column for df1 = 9 and the row for "Area in One Tail" = 0.025 (since we want the middle area to be 0.95). The value at this intersection is 0.22.
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Answer:

a)

Step-by-step explanation:

note that the shaded dot means that it's either a greater than or equal to sign or a less than or equal to sign

but when it's not shaded it's means it's simply a greater than or less than sign

so

m+3<10

carry the 3 over the < sign

this will make the 3 become negative

m<10-3

now subtract

m<7

Answer:

1 1/8

Step-by-step explanation:

So the first step is to convert all of them to fractions, so 3.25 become 3 1/4

Next, we do 4 3/8- 3 1/4

We convert 1/4 to 2/8

So, it's now 4 3/8- 3 2/8

The answer is 1 1/8

Answer:

1 litre weighs 0.8 Kg

Step-by-step explanation:

the weight of gasoline in the can = 11.4 - 1.8 = 9.6 Kg

that is weight of can + gasoline - weight of empty can

\(\frac{2}{3}\) of 18 = \(\frac{2}{3}\) × 18 = 2 × 6 = 12 litres

12 litres weighs 9.6 Kg , then

1 litre weighs 9.6 Kg ÷ 12 = 0.8 Kg = 0.8 × 1000 = 800 g

Answer:

1548.66 feet

Step-by-step explanation:

We can draw a straight line down the middle to form two right triangles

This will split the 70 degree angle into two 35 degree angles

We now have two 90-35-55 right triangles

Now we can use cos(55) * the hypotenuse on both sides to get the distance across the lake

Thus we have:

1200cos(55 = 688.29

1500cos(55 = 860.36

Best of luck

Answer:

x equals 0

Step-by-step explanation:

it is a vertical line on zero and this is 1st grade level math

the sum of all interior angles in a polygon is

180(n-2)

n = number of sides

now, this one is a Heptagon, 7 sides, so the total of interior angles is 180(7-2) = 900.

Answer:

  ∆APQ is isosceles, so sides AP, AQ are congruent

Step-by-step explanation:

You want to show that AP≅AQ in the given figure.

The Angles of Intersecting Chords Theorem tells you that the angle where chords cross is half the sum of the intercepted arcs. Here, that means ...

  ∠APY = (arc BX +arc AY)/2

  ∠AQX = (arc AX +arc CY)/2

Given that arc AX ≅ arc BX, and arc AY ≅ arc CY, we can substitute for BX and CY to get ...

  ∠APY = (arc AX +arc AY)/2

  ∠AQX = (arc AX +arc AY)/2

Two angles equal to the same thing are equal (substitution property), so ...

  ∠APY ≅ ∠AQX

These are base angles in the isosceles triangle APQ, so their opposite sides, AQ and AP, respectively, are congruent.

  AP ≅ AQ