What is the next fraction in the sequence? 13/17, 11/17, 9/17, 7/17,

a. To estimate the fraction of all likely voters who preferred the incumbent (p), we can use the fraction of survey respondents who preferred the incumbent (p^​). In this case, 215 out of 400 respondents preferred the incumbent. So, the estimate for p would be 215/400 = 0.5375, or 53.75%.

b. The estimator of the variance is np^​(1−p^​), where n is the sample size (400) and p^​ is the fraction of survey respondents who preferred the incumbent (0.5375). Plugging these values into the formula, we get the variance estimate as 400 * 0.5375 * (1 - 0.5375) = 86.4.

To calculate the standard error of the estimator, we take the square root of the variance estimate. So, the standard error would be √86.4 ≈ 9.29.

c. The p-value for the test of H0​:p=0.5 vs. H1​:p≠0.5 can be calculated by conducting a two-tailed test. We compare the estimated p value (0.5375) to the assumed value (0.5) and use the standard error (9.29) to calculate the test statistic. Based on the test statistic, we can determine the p-value. Without the specific values for the test statistic, we cannot calculate the exact p-value.

d. The p-value for the test of H0​:p=0.5 vs. H1​:p>0.5 can be calculated by conducting a one-tailed test. We compare the estimated p value (0.5375) to the assumed value (0.5) and use the standard error (9.29) to calculate the test statistic. Based on the test statistic, we can determine the p-value. Without the specific values for the test statistic, we cannot calculate the exact p-value.

e. To determine if the survey contains statistically significant evidence that the incumbent was ahead of the challenger at the time of the survey, we need to compare the p-value obtained from the test to a significance level (such as 0.05). If the p-value is less than the significance level, we can conclude that there is statistically significant evidence that the incumbent was ahead of the challenger.

Know more about fraction:

https://brainly.com/question/10354322

#SPJ11

The answer is d. 83,629.19 cm². To make 5 soccer balls with a diameter of 22 cm each, you would need approximately 83,629.19 cm² of material.

To calculate the surface area of a soccer ball, we need to determine the area of each of its components. A soccer ball is made up of 12 pentagonal panels and 20 hexagonal panels. Each pentagonal panel has an area of

(5 × side² × cot(π/5)) / 4,

while each hexagonal panel has an area of (3 × √3 × side²) / 2. By substituting the given diameter of 22 cm, we can calculate the side length of each panel. Then, by summing up the areas of all the panels and multiplying by 5 (the number of soccer balls), we arrive at the total material needed.

In this case, the calculation results in approximately 83,629.19 cm² of material, making option d the correct answer.

Learn more about surface area here:

https://brainly.com/question/29259825

#SPJ11

Answer:

The y-intercept is what she gets paid even with no cars sold. Its the minimum she can get paid. Regardless of how many cars she sells, her base pay is $1000.

Step-by-step explanation:

Hope this helped!

The y-intercept of the equation is 1,000 which represents the pay in dollars.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation is given below.

y = 500x + 1,000

The y-intercept of the equation is 1,000 which represents the pay in dollars.

More about the linear equation link is given below.

https://brainly.com/question/11897796

#SPJ3

Answer: D. 2

Step-by-step explanation:

The question is asking for the rate of change from x=1 to x=2. Remember that the rate of change is also the slope, which can be seen as \(\frac{rise}{run} or \frac{y}{x}\). The rise would be going up/down the graph and the run would go left/right of the graph. Let's look at where x=1 and x=2 on the graph.

First, look at where the line falls between x=1 and x=2. Then, on where x=1, go up, then right on the graph, until you find the point where x=2. In this case, the rise over run is \(\frac{2}{1}\). This can be simplified to 2.

Therefore, the answer is 2.

I hope this helps!! Pls mark brainliest :))

Answer:

60:49

Step-by-step explanation:

1ft = 12in

5 x 12 = 60

60:49

They share no common factors so this is your final answer.

Answer:

probably about 10.24%

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

There are three ATOMS in each MOLECULE H2 O    

                                   (two hydrogen one Oxygen)

Each mole of MOLECULES = 6.022 x 10^23

     6.022 X 10^23     X 3  = 1.81 x 10^24 atoms

Answer:

The loser had 5.5 points

The he winner had 9.5  points

Step-by-step explanation:

9.5 - 5.5 = 4

5.5 + 9.5 = 15

The maximum value of the function is approximately 67,179.6 at x ≈ 29.5, and the minimum value of the function is approximately -27,512.5 and occurs at x ≈ -6.5.

We are given the quadratic equation as;

\(y = \dfrac{2}{3} x^{2} + \dfrac{5}{4} x- \dfrac{1}{3}\)

Solving the equation ;

\(y = \dfrac{2}{3} x^{2} + \dfrac{5}{4} x- \dfrac{1}{3} \\\\\\y = \dfrac{8x^{2} + 15x - 4}{12}\)

Using the second formula, we see that the roots of the equation

x = (-(-100) ± √((-100)² - 4(3)(-200))) / (2(3))

x = (-(-100) ± √(10000 2400)) / 6

x = (-(-100) ± √(12400)) / 6

x = (100 ± 20 √(31)) / 3

To determine whether these are maximum or minimum points,

y''(x1) = -6((100 √(31)) / 3) = -200 - 40√(31) < 0  is a local minimum

Learn more about solutions of a quadratic equation here:

https://brainly.com/question/15582302

#SPJ1

Answer:

Step-by-step explanation:

Given that the principal p= $290

rate r= 2.2%  2.2/100 =0.022  

time t= 18years

by applying the expression

\(V = Pe^{rt}\)

We have

\(V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90\)

Hence after 18years the money in the account will be $430.90

Answer:

If he has 4 apples and he gives a girl 1 he would have 3 left

(Hope this helps, brainliest? :) )

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

simple, 4-1 do to him giving one apple to the "her".

Answer:

The percentage of people surveyed that were satisfied with the car is 55%.

Step-by-step explanation:

1,100/2,000=0.55*100= 55%

Answer:

Area is a measure of how much space there is inside a shape.  Calculating the area of a shape or surface can be useful in everyday life – for example you may need to know how much paint to buy to cover a wall or how much grass seed you need to sow a lawn.

This page covers the essentials you need to know in order to understand and calculate the areas of common shapes including squares and rectangles, triangles and circles.

Step-by-step explanation:

I think

The mean, or average, is equal to the sum of all the miles divided by the number of terms you added together. We have 4 terms that will be added, but are missing one term. We will solve for the missing term by setting up an equation for the average and solving for x, the number of miles you must run on Thursday.

3 = (2 + 3 + 4 + x) / 4

12 = 2 + 3 + 4 + x

12 = 9 + x

x = 3 miles

Answer:

x = 15/8 or 1 7/8

Step-by-step explanation:

eliminate denominators by multiplying everything by 15 to get:

15(4/5x) - 15(1/3x) = 15(x) - 15(1)

12x - 5x = 15x - 15

7x = 15x - 15

subtract 15x from each side to get:

-8x = -15

divide each side by -8 to get:

x = 15/8 or 1 7/8

Answer:

1133/10000

Step-by-step explanation:

To simplify the expression 5√8 + √3, we can simplify each radical term separately and then combine them.

First, let's simplify the radical terms:

√8 can be simplified as 2√2 because 8 can be factored into 4 * 2, and √4 is equal to 2.

√3 cannot be simplified further since 3 is a prime number.

Now, let's substitute the simplified radical terms back into the expression:

5√8 + √3 becomes 5(2√2) + √3.

Next, we can multiply the coefficients outside the radicals:

5(2√2) is equal to 10√2.

Putting it all together, the simplified expression is:

10√2 + √3.

So, 5√8 + √3 simplifies to 10√2 + √3.

Answer:

1.8861

Step-by-step explanation:

\(y=2^x, y=x^2-10x+19\)

Upon graphing the equations on a calculator, the value of \(r\) is about \(1.8861\).

The fourth term a₄ of the sequence is -343

From the question, we have the following parameters that can be used in our computation:

a₁= -1

aₙ = 7aₙ₋₁

The above definitions imply that we simply multiply 7 to the previous term to get the current term

Using the above as a guide,

so, we have the following representation

a₂ = 7 * -1

a₂ = -7

Also, we have

a₃ = -7 * 7

a₃ = -49

Lastly, we have

a₄ = -49 * 7

Evaluate the equation

a₄ = -343

Hence, the value of a₄ is -343

Read more about sequence at

brainly.com/question/7882626

#SPJ1

On the discussion of two customers, the comment on their opinion about the chances of spinning another 100% discount on the wheel, is that previous results won't affect the future's outcome.

Probability is calculated by dividing the favourable outcomes to the total possible outcomes. The addition rule of probability calculates the probability when the "or" operation is taking place between events. We have a spinning a wheel which based on discount to customers. Total slices on discount wheel is divided into, t = 12

Number of slices contains 10% discount,

= 6

Number of slices contains 20% discount, b = 3

Number of slices award a 40% discount, c

= 2

Number of slices award a 100% discount, d = 1

Now, We have to comment on the two customers'opinion based on the chances of spinning another 100% discount wheel. The spins are independent, that is every event is independent so if the wheel is fair the three gold winners in a row have no effect on the next persons’chances. So, The next person's chances will also remain the same Hence, previous results won't affect te future outcome.

For more information about chances refer:

https://brainly.com/question/25870256

#SPJ4

The algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y). (Option D)

A dilation is a type of transformation that changes the size of the shape or object.  It refers to a process of changing an object’s size by decreasing or increasing its dimensions by a scaling factor. A dilation produces an image that has the same shape as the original image but is a different size.

A dilation that results in a larger image is called an enlargement while a dilation that generates a smaller image is called a reduction. A dilation is described using the scale factor and the center of the dilation (which is a fixed point in the plane).

For a scale factor > 1, the image is an enlargement; for a scale factor < 1 and  > 0, the image is a reduction; and for a scale factor = 1, the figure and the image are congruent. Hence, for a point (x,y), algebraic representation that shows a dilation that is an enlargement is (5/2 x,5/2 y) as the scale factor is greater than 1. For the remaining options, the scale factor is between 0 and 1, hence they are reduction.

Note: The question is incomplete. The complete question probably is: Which of the following algebraic representation shows a dilation that is an enlargement? A) (1/3 x,1/3 y) B) (0.1x, 0.1y) C) (5/6 x,5/6 y) D) (5/2 x,5/2 y)

Learn more about Dilation:

https://brainly.com/question/29449871

#SPJ4

Answer:

it is d i took the quiz

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

i took the quiz

The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).

To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:

\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)

Let's calculate the first four terms:

Starting with the first term, we substitute

\(\(f(a) = f(1) = 2(1) = 2x\)\)

For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).

\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)

\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)

Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)

Since the second derivative is zero, the third term is zero.

Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)

Similarly, the fourth term is also zero.

Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:

(2x + 2x - 2)

Learn more about taylor series

brainly.com/question/31140778

#SPJ11

Answer:

Y= -1/2X+9

Step-by-step explanation:

Answer:

Y= -1/2X+9

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Answer and Step-by-step explanation:

To find the length of HP, we must use the Pythagorean Theorem.

This theorem helps us solve for the sides of any right triangle.

The equation for the Pythagorean Theorem is:

\(a^{2}+ b^{2} = c^{2}\), in which a and b are the legs, while c is the hypotenuse.

Let's plug in our values into the equation to find the length of HP.

We will use the variable x to represent HP.

\(9^{2}+ 12^{2} = x^{2} \\\\\\Square.the.9.and.the.12.\\\\\\81 + 144 = x^2\\\\\\Add.\\\\\\225 = x^2\\\\\\Square.both.sides.\\\\\\\sqrt{225} = \sqrt{x^2} \\\\\\15 = x = HP\)

So, we get our answer to be 15.

The length of HP is 15.

#teamtrees #PAW (Plant And Water)

Answer:

9. C

10. C

Step-by-step explanation:

(d.) Each run of the simulation only provides a sample of the actual system's operation.

This assertion is right, not mistaken. Indeed, each simulation run is a sample of the actual system's operation. A single simulation run cannot account for all possible outcomes and variations in the real system because simulations are based on mathematical models and involve random variations.

In order to take into consideration various scenarios and variations, multiple simulation runs are typically carried out. By running numerous reenactments, specialists can assemble a scope of results and measurable data to acquire a superior comprehension of the framework's way of behaving and go with informed choices.

The analysis and confidence in the simulation study's conclusions increase with the number of simulation runs performed.

To know more about real system  refer to

https://brainly.com/question/30728412

#SPJ11

Answer:

maria : 1/3 =0.3 line on top of three

franco:1/4=0.25

Step-by-step explanation:

tried my best hope its right :)

Answer:

Maria: 1/3 cups for each gallon

Step-by-step explanation:

Maria: 2/3 for every 2 gallons.  2/3:2

Franco: 1 1/4 for every 5 gallons.  1 1/4/:5

Okay, so I'm actually going to do it my way.

Maria : \(\frac{2}{3} = 4/6\\\frac{4}{6} /2 =2/6\)

So, I simply turn it into a bigger fraction and cut it in half!

So, Maria uses 1/3 of a cup for each gallon

Hope this will help you figure out Franco's!!!

Answer:

(0, - 5)

Step-by-step explanation:

For a quadratic equation:

y = a*x^2 + b*x + c

if the vertex is at:

(h, k)

Then the focus is at:

(h, k + 1/(4*a))

Here we have the parabola:

x^2 = -20*y

if we isolate y, we get:

y = (-1/20)*x^2

First, we need to find the vertex.

remember that for a general quadratic equation

a*x^2 + b*x + c = 0

the x-value of the vertex is at:

x = -b/2*a

in this case we have b = 0, then our vertex is at x = 0.

If we evaluate the function at x = 0 we get:

y = (-1/20)*0^2 = 0

Then the vertex is at (0, 0)

Thus the focus will be at:

(0, 0 + 1/(4*a))

and we have

a = -1/20

then:

1/(4*a) = -20/4 = 5

Then the focus is:

(0, 0 -5) = (0, - 5)

Answer:

(0,-5)

Step-by-step explanation:

Did the test on Edge

The domain of the function is 0 ≤ b ≤ 6, and the range of the function is 30 ≤ c ≤ 174.

The function that models the total weight of a crate with b boxes inside is given as:

c = 24b + 30

We know that each crate can hold a maximum of 6 boxes. Therefore, the number of boxes inside the crate can only take values from 0 to 6.

Domain:

The number of boxes b can take values from 0 to 6. Therefore, the domain of the function is:

0 ≤ b ≤ 6

Range:

To find the range of the function, we need to consider the maximum and minimum values that c can take when

0 ≤ b ≤ 6.

When b = 0, the crate is empty, and the total weight of the crate is:

c = 24(0) + 30 = 30.

When b = 6, the crate is full with 6 boxes, and the total weight of the crate is:

c = 24(6) + 30 = 174.

Therefore, the range of the function is:

30 ≤ c ≤ 174

We can then say the domain of the function is 0 ≤ b ≤ 6, and the range of the function is 30 ≤ c ≤ 174.

Learn more about domain here:

https://brainly.com/question/26098895

#SPJ1