Number by order please

Answer:

There is no mode for the following data.

Step-by-step explanation:

This is because the mode is the  value which occurs most frequently in a data set. yet there is not a piece of data that appears the most frequently.  

The mode of this data set is the Independents.

The mode is a statistical term that refers to the value that appears most frequently in a data set. In this case, you have provided data on the number of Republicans, Democrats, and Independents. There are 47 Republicans, 49 Democrats, and 52 Independents.

To determine the mode, we simply look for the highest count among the three groups. In this case, we can see that the group with the highest count is the Independents with a count of 52.

Therefore, the mode of this data set is the Independents. This tells us that Independents are the most frequent group in this particular data set. Remember, the mode is just one way to describe the central tendency of data and should be considered alongside other measures like the mean and median for a more comprehensive understanding of the data distribution.

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Step-by-step explanation:

15 / (1/3)  is equal to  15 x 3/1  = 15 x 3 = 45

Answer:

8, 6, 4, 2

Step-by-step explanation:

f(n)=-2(n-1)+8

Plug n =1

f(1)=-2(1-1)+8 = - 2*0+8 = 0+ 8 = 8

Plug n =2

f(1)=-2(2-1)+8 = - 2*1+8 = - 2+ 8 = 6

Plug n =3

f(1)=-2(3-1)+8 = -2*2+8 = -4+ 8 = 4

Plug n =4

f(1)=-2(4-1)+8 = -2*3+8 = -6+ 8 = 2

Answer:

If the two lines have the same slope, they are parallel but they can't be the same line

Step-by-step explanation:

The factors of the function, g(x) = x³ + 2x² - x - 2 is, C. (x - 1)(x + 1)(x + 2).

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given, A cubic polynomial, g(x) = x³ + 2x² - x - 2.

Now, From the options if (x - 2) is a factor then x - 2 = 0, x = 2 ⇒ g(2) = 0.

g(2) = 2³ + 2.2² - 2 - 2.

g(2) = 8 + 8 - 2 - 2.

g(2) = 12, So x - 2 is not a factor.

Let, x + 2 = 0, x = - 2.

g(-2) = - 8 + 8 = 2 - 2.

g(-2) = 0, So, x + 2 is a factor, And we know a cubic polynomial has three factors.

Therefore, g(x) = x³ + 2x² - x - 2 = (x - 1)(x + 1)(x + 2).

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Answer:

-3.1

Step-by-step explanation:

2n+3=-3.2

2n=-6.2

n=-3.1

Answer:

n= -3.1

work is shown in the picture

The probability of an event can not be more than the number 1.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

As the probability of an event can not be more than the number 1.

Thus the probability of failure of a event is equal to the difference of the 1 to the success of the event. As,

\(\rm Probability \; of \;failure = 1-Probability\; of \;success\)

Given information-

Rina spins the spinner less than the 30 times.

A success occurs when the spinner lands on a number that is greater than 6.

A spinner is divided into 8 equals sections and the sections are labeled 1 through 8.

As the probability of success occurs when the spinner lands on a number that is greater than 6, thus the number should grater than six.

This number should be less than 30 as the spinner spins less than the 30 times.

Thus the total number of outcome of this event is,

\(=30-6\\=24\)

Thus the probability of success is,

\(P=\dfrac{6}{24} \\P=\dfrac{1}{4}\)

Hence the probability of success is 1/4.

As the probability of failure of a event is equal to the difference of the 1 to the success of the event.

Thus the probability of failure is,

\(P^-=1-P\\P^-=1-\dfrac{1}{4} \\P^-=\dfrac{4-1}{4} \\P^-=\dfrac{3}{4} \\\)

The probability of failure is 3/4.

Hence,

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Answer:

Option B)

Step-by-step explanation:

Correct on edge22

Answer:

b

Step-by-step explanation:

other person answered, just need some points

As the side length increases by 1, the area does not increase or decrease by an equal amount.

What is the area?

A two-dimensional figure's area is the amount of space it takes up. In other terms, it is the amount that counts the number of unit squares that span a closed figure's surface. In general, square units such as square inches, square feet, etc. are used as the standard unit of area.

As shown in the graph, the area values are not constantly increasing or decreasing, at 2 values of side length, area is same, at the side length= 9 inches, there is no area at all..

So,  

As the side length increases by 1, the area does not increase or decrease by an equal amount.

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If he runs at his usual speed for 10 miles, it would take him 10/x hours. Ricardo's usual speed is 5 miles per hour.

Let's assume Ricardo's usual speed is "x" miles per hour.

If he runs at his usual speed for 10 miles, it would take him 10/x hours.

If he doubles his usual speed, his new speed would be 2x miles per hour. Running at this speed for 10 miles, he can complete the distance in (10/2x) = (5/x) hours.

According to the given information, he can run 10 miles in an hour less than his usual time. So, we can set up the equation:

10/x = 5/x + 1

To solve this equation, we can multiply both sides by x to eliminate the denominators:

10 = 5 + x

Subtracting 5 from both sides:

x = 5

Therefore, Ricardo's usual speed is 5 miles per hour.

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³√5 / ⁴√5 = ¹²√5 = 5^1/12

5^1/12

Answer:

the answer is  5/|1 5

Step-by-step explanation:

Answer:

2a

Step-by-step explanation:

up at the top is the answer

Answer:

cat is 6 pumpkin is 12 pot is 14 so 6+14-12=8

Step-by-step explanation:

The answers are explained in the solution.

Given that, a bus and a car have speed of 100km/hr and 120km/hr.

They are covering a distance of 340 km, they started travelling at 7:00 am,

Speed = distance / time

A) Bus travelled in 30 minutes = 100 × 0.5 = 20 km

After 30 minutes = 100 × 0.5 = 20 km

Total distance by bus in 1 hour = 40 km

Car covered in 30 minutes = 120 × 0.5 = 60 km

Distance between them = 60-40 = 20 km

Relative speed = 120-100 = 20 km/h

Time to catch up = 20/20 = 1 hour

Distance from Nairobi = 60 + (1 × 120) = 180 km

Therefore, the car catches up with the bus 180 km from Nairobi,

B) Time taken = 30 + 30 + 1 = 2 hours.

7:00am + 2 hours = 9:00 am

C) Time taken by bus to reach the destination = 340 / 100

= 3.4 hours

Hence, bus took 3.4 hours to reach the destination.

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System of equations can be used to find each digit is option A.

An equation is a mathematical statement that shows that two expressions are equal to each other. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The LHS and RHS can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and roots.

Let's represent the hundreds, tens, and units digits as h, t, and u, respectively. Then we can use the given information to set up a system of equations:

A three-digit number has a digit sum of 13:

h + t + u = 13

One more than the hundreds digit (h) is the tens digit (t):

t = h + 1

The digit in the units, u, is 3 greater than the total of the digits in the tens and hundreds:

u = t + h + 3

Therefore, the correct system of equations is:

h + t + u = 13

t = h + 1

u = t + h + 3

Therefore, the answer is (A).

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An Asian arithmetic-average-strike call option is at least as valuable as an otherwise identical Asian geometric-average-strike option. [False]

An Asian arithmetic-average-strike call οptiοn is nοt necessarily always mοre valuable than an οtherwise identical Asian geοmetric-average-strike οptiοn. The value οf these οptiοns depends οn variοus factοrs, such as the underlying asset price, vοlatility, time tο expiratiοn, and interest rates.

The difference between these twο types οf οptiοns lies in the way the strike price is determined. In an arithmetic-average-strike οptiοn, the strike price is based οn the average price οf the underlying asset οver a specific periοd. In a geοmetric-average-strike οptiοn, the strike price is based οn the geοmetric average οf the underlying asset's prices.

The relative value οf these οptiοns can vary depending οn market cοnditiοns and the specific terms οf the οptiοns. It is nοt accurate tο generalize that οne type οf οptiοn is always mοre valuable than the οther. The valuatiοn οf οptiοns requires careful analysis and cοnsideratiοn οf the specific circumstances and pricing mοdels.

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The magnitude of the acceleration of the charge q moving in a uniform electric field E in the x direction with speed v is given by a = dtdv = mqE (1 − c2v2)3/2.

The significance of this dependence of the acceleration on the speed is that when the particle moves faster, the magnitude of the acceleration decreases. As the speed increases, the kinetic energy of the particle increases, and this energy is being taken away from the electric field, so the acceleration decreases.

If the particle starts from rest at x = 0 at t = 0, the speed of the particle after a time t has elapsed is v = cEt/m and the position of the particle after the same amount of time is x = (1/2)ct2E/m. The limiting values of v and x as t → ∞ are v → ∞ and x → ∞ respectively.

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To determine the rate of two people moving apart, consider their velocities as vectors. Person A moves north at 4 ft/s, while Person B walks south for 15 minutes. Calculate position after 15 minutes using velocity vector and distance formula, resulting in 129 ft/min distance between them.

To find the rate at which the two people are moving apart, we can consider their velocities as vectors. Let's assume that the starting point, point P, is the origin of a coordinate system.

Person A is moving north at 4 ft/s, so their velocity vector can be represented as <0, 4>.

Person B starts walking south 5 minutes later, so they have been walking for 15 minutes. Since they are walking south, their velocity vector is <0, -5>.

The position of Person A after 15 minutes can be calculated by multiplying their velocity vector by the time elapsed: <0, 4> * 15 = <0, 60>.

Similarly, the position of Person B after 15 minutes can be calculated by multiplying their velocity vector by the time elapsed: <0, -5> * 15 = <0, -75>.

The distance between the two people can be calculated using the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Plugging in the values, we get distance = sqrt((0 - 0)^2 + (60 - (-75))^2) = sqrt(0 + 1935^2) = sqrt(3740225) = 1935 ft.

Therefore, the two people are moving apart at a rate of 1935 ft/15 min = 129 ft/min.

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Answer:

question 8 = 6cm

Step-by-step explanation:

\(formula (perimeter)= \\ sum \: of \: all \: sides \\ \\ 3x + 3x + x + x = 48 \\ 3(6) + 3(6) + 6 + 6 = 48 \\ 18 + 18 + 6 + 6 = 48\)

The volume of the solid obtained by rotating the region bounded by the curves y = 6 - x² and y = 2 about the x-axis is (256π/15) cubic units.

To find the volume of the solid obtained by rotating the region bounded by the curves y = 6 - x² and y = 2 about the x-axis, we will use the method of disks or washers. Let's go through the calculation step-by-step:

S1: Determine the limits of integration.

To find the points of intersection between the curves, set them equal to each other:

6 - x² = 2

Rearrange the equation:

x² = 4

Take the square root of both sides:

x = ±2

So, the curves intersect at x = -2 and x = 2. These will be our limits of integration.

2: Sketch the region and solid.

On a coordinate plane, plot the points of intersection (-2, 2) and (2, 2), and sketch the curves y = 6 - x² and y = 2. The region bounded by these curves will look like a "bowl" or a concave shape.

To find the volume, we will integrate the cross-sectional areas perpendicular to the x-axis.

3: Determine the radius function.

The radius of each disk or washer is the distance from the curve y = 6 - x² to the axis of rotation (x-axis).

For a typical disk or washer at a given x-value, the radius is given by:

r = y = 6 - x²

4: Set up the integral.

The volume (V) of the solid is given by the integral:

V = ∫[from -2 to 2] π(6 - x²)² dx

5: Evaluate the integral.

Integrating π(6 - x²)² with respect to x gives:

V = π ∫[from -2 to 2] (36 - 12x² + x⁴) dx

Integrate each term separately:

V = π [36x - 4x³/3 + x⁵/5] evaluated from -2 to 2

Plugging in the limits of integration:

V = π [(36(2) - 4(2)³/3 + 2⁵/5) - (36(-2) - 4(-2)³/3 + (-2)⁵/5)]

Simplifying the expression:

V = π [76/3 + 32/3 + 32/5 - 76/3 + 32/3 - 32/5]

V = π (64/3 + 64/3 - 64/5)

V = π (128/3 - 64/5)

V = π [(640 - 384)/15]

V = π (256/15) (256π/15) cubic units.

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the complete question is:

Find the volume of the solid obtained by rotating the region bounded by the curves y = 6 - x² and y = 2 about the x-axis. Label the points of intercepts of the curves, sketch the region, the solid, and a typical disk or washer, and show all your work.

Answer:

Explanation:

Here, we want to find the value of the 25th percentile

Mathematically:

The 25th percentile represents a probability of p = 0.25

The z-score of this value is -0.68 (it is left of the mean)

To get z-score, we use the following formula:

Substituting these values, we have it that:

Since tan m = 1/2 and tan n = -6, the precise value of tan (m+n) will be 3.51.

The tangent of an angle in trigonometry is the ratio of the lengths of the adjacent side to the opposing side. In order for the value of the cosine function to not be 0, it is the ratio of the sine and cosine functions of an acute angle. The law of tangent is another name for tan. The ratio of a triangle's opposing side to its adjacent side is known as the tangent formula for a right-angled triangle. The angle's sine to cosine ratio can also be used to represent the angle.

Here,

tan m= 1/2

tan n= -6

m=tan inverse(1/2)

n=tan inverse(-6)

m=26.565 degrees

n= -80.537 degrees

n=360-80.537

n=279.463 degree

tan (m+n)=tan(26.565+279.463)

tan 306.028=3.51

The exact value of tan (m+n) will be 3.51 as the value of tan m= 1/2 and tan n= -6.

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If a group consists of 10 kids and 2 adults, the number of ways are there to form the line are 2 * 10!. So, correct option is C.

To form a line with an adult at the front and an adult at the back, we need to consider the positions of the 10 kids within the line. The two adults are fixed at the front and back, so we have 10 positions available for the kids.

To calculate the number of ways to arrange the kids in these positions, we can use the concept of permutations. Since each position can be occupied by a different kid, we have 10 options for the first position, 9 options for the second position, 8 options for the third position, and so on, until the last position, where only 1 kid remains.

Therefore, the number of ways to form the line is:

10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 10!

However, the problem also mentions that there are 2 adults, so we need to consider the arrangements of the adults as well. Since there are only two adults, there are 2 ways to arrange them in the line (adult at the front and adult at the back or vice versa).

Therefore, the total number of ways to form the line is:

2 x 10! = 2 * 10!

Hence, the correct option is b. 2 * 10!, which accounts for both the arrangements of the kids and the adults.

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Answer: y = -1/2x + 1

Answer:

D

Step-by-step explanation:

Answer: angle A is none of those

Step-by-step explanation:

the sum of all angles in a triangle = 180

one of the triangles is 90

we can form an equation:

90 + (x+69) + (x+39) = 180

90 + 2x + 108 = 180

198 + 2x = 180

2x = 180 - 198

2x = -18

x = - 9

angle A = x+39

substitute x = -9

angle A = -9 + 39 = 30

so angle A is none of those

Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

In plan A,

    Plans for saving = $500

  Amount of saving each week = $20

∴ Number of weeks needed to make goal = (500 ÷ 20) (by using division)

                                                                       = 25

In plan B,

    Plans for saving = $500

   Amount of saving each week = $30

∴ Number of weeks needed to make goal = (500 ÷ 30) (by using division)

                                                                       = 17

In plan C,

    Plans for saving = $500

   Amount of saving each week = $40

∴ Number of weeks needed to make goal = (500 ÷ 40) (by using division)

                                                                       = 13

In plan D,

    Plans for saving = $500

   Amount of saving each week = $50

∴ Number of weeks needed to make goal = (500 ÷ 50) (by using division)

                                                                       = 10

So, Todd use to save $500 in less than 16 weeks and have $20 extra in Plan C.

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Answer:

1/11

Step-by-step explanation

There are 12 marbles in the bag. When we first pick we have 4 blue marbles. So 4 blue marbles/12 random marbles. When we pick blue and noted, there are 3 marbles in the bag because of we didn't put it back. So when we choose again there are 11 marbles and 3 blue marbles in the bag. Choosing a blue one case is 3/11.

The last part of this case is happening as a chain. So we need to multiply our two answers.

=4/12*3/11

=1/3*3/11

=1/11