if four out of ten people vote than a town with two hundred thousand people how many will vote

If the p-value is less than α (0.05), we reject the null hypothesis in favor of the alternative hypothesis.

To begin, let's calculate the mean age for the sample data provided. We have a sample size of 47 recently wed British men, and we need to find the sample mean and sample standard deviation.

To find the sample mean, we sum up all the ages and divide it by the sample size (47):

Sample Mean = (30 + 28 + 40 + ... + 33 + 31 + 25) / 47

Now that we have the necessary statistics, we can proceed with hypothesis testing. We will compare the mean age of the sample data to the mean age in 2013 (which was reported as 32.0) and test whether the difference is statistically significant.

Null Hypothesis (H0): The mean age of British men at the time of marriage is not significantly different from the mean age in 2013.

Alternative Hypothesis (Ha): The mean age of British men at the time of marriage has increased compared to the mean age in 2013.

To test this hypothesis, we will calculate the t-value and the p-value.

The t-value represents the difference between the sample mean and the hypothesized population mean (mean age in 2013) relative to the variability in the sample.

t-value = (Sample Mean - Population Mean) / (Sample Standard Deviation / √n)

In this case, the Population Mean is 32.0 (mean age in 2013), and n is the sample size (47). Plug in the values to calculate the t-value.

To calculate the p-value, we need to consult a t-distribution table or use statistical software. The p-value is the probability of observing a t-value as extreme as the one calculated in Step, given the degrees of freedom (df) associated with the t-distribution.

Finally, we compare the p-value to the significance level (α) to make a conclusion. If the p-value is less than α (0.05), we reject the null hypothesis in favor of the alternative hypothesis. If the p-value is greater than or equal to α, we fail to reject the null hypothesis.

To know more about hypothesis here

https://brainly.com/question/29576929

#SPJ4

Complete Question:

Data from the Office for National Statistics show that the mean age at which men in Great Britain get married was 32.0. A news reporter noted that this represents a continuation of the trend of waiting until a later age to wed. A new sample of 47 recently wed British men provided their age at the time of marriage. These data are contained in the Excel Online file below. Construct a spreadsheet to answer the following questions. Do these data indicate that the mean age of British men at the time of marriage exceeds the mean age in 2013? Test this hypothesis at.

What is your conclusion? Use the obtained rounded values in your calculations.

Data Set:

30 28 40 34 35 26 37 33 25 30 27 31 31 30 34 28 30 35 25 40 31 29 33 32 25 29 39 39 26 27 36 28 36 25 38 34 27 28 40 32 27 28 40 28 33 31 25

Step-by-step explanation:

4.5÷4= 1.125

so each time she goes around the rectangle she's covering 1.125 km and we seed the length is twice the breadth x+2x=1.125

so 1.125 / 3 to give x which is the breadth=0.375 x 2 is equal to 0.75 km or 750 m this is the length of the field

Step-by-step explanation:

The length of a rectangular field is twice it's breadth. A girl jogged around it 4 times and covered a distance of 4.5 km. What is the length of the field?

The distance cover in 4 laps is 4.5 km, So one lap is 4.5/4 = 1.125 km.

Let the breadth of the field be B so the length will be L or 2B.

The perimeter of the field is 2L+2B or 4B+2B = 6B = 1.125, so B = 1.125/6 = 0.1875 km and the length is 2*0.1875 = 0.375 km.

Check: perimeter = 2*0.375 + 2*0.1875 = 1.125 km and 4 laps covers 4*1.125 = 4.5 km. correct.

The field is 375 m long.

Answer: x=21

Step-by-step explanation:

The shape is a quadrilateral. (Quadrilateral= 180 degrees)

5x+18+2x+15=180 - combine like terms

7x+33=180 - subtract 33

7x=147 - divide by 7

x=21

The interaction plot consistent with the combination of main effects and interactions described is Plot D, which shows an interaction between squirrels and location.

An interaction occurs when the effect of one independent variable (in this case, squirrels) on the dependent variable (cone sizes) depends on the level of another independent variable (location).

Based on the given information, we have the following main effects and interactions:

1. Main effect of location: This means that the location (island vs. mainland) has an independent effect on cone sizes. It suggests that there is a difference in cone sizes between the two locations.

2. Main effect of squirrels: This means that the presence or absence of squirrels has an independent effect on cone sizes. It suggests that the presence of squirrels may influence cone sizes.

3. Interaction between squirrels and location: This means that the effect of squirrels on cone sizes depends on the location. In other words, the presence or absence of squirrels may have a different impact on cone sizes depending on whether the trees are on an island or the mainland.

Among the given interaction plots, Plot D is consistent with these main effects and interactions. It shows that the effect of squirrels on cone sizes differs between the island and mainland locations, indicating an interaction between squirrels and location.

Therefore, Plot D is the interaction plot that aligns with the combination of main effects and interactions described in the question.

To learn more about variable, click here: brainly.com/question/28248724

#SPJ11

Different lampshades that could be used together are A) 5.

How to determine the value of any factorial value?
The factorial function (symbol:!) instructs us to multiply all whole numbers starting at the number we have chosen down to one.

Examples:

4! = 4 × 3 × 2 × 1 = 24

7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040

according to the question,  five lamp bases and four lampshades that could be used together. so the calculation will be 5C4

using factorial,

Hence, 5 different arrangements of base and shade can be offered together. (using factorial)

to learn more about factorial from the given link,
https://brainly.com/question/25997932
#SPJ4

Answer:

83/2x^2-50x-8

Step-by-step explanation:

multiplique los parentensis

42x^2+6x-56x-8-1/2x^2

calcula la diferencia

83/2x^2+6x-56x-8

agrupe los terminos semejantes

83/2x^2-50x-8

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

We can write 2 equations from the information given.

Let the amount invested in CD be "x" and the amount invested in bond be "y".

The total amount invested is $600,000. Thus, we can write,

The CD pays 2% (0.02) and the bond pays 8.5% (0.085). Total interest needed is $27,000. Thus, we can craft another equation,

Solving the first equation for "x", we can substitute it into the second equation and solve for "y" first. The steps are shown below:

Now, we can find "x",

Rounded to the nearest dollar, we write our answer >>>

For an experiment of 80 times rolling a die with twos that come up is tallied, the standard deviation for the random variable X, the number of two's is equals to the 3.36.

We have, a die is rolled 80 times. Let X be a random variable for the number of two's that come up is tallied. Assume, this experiment is repeated many times. We have to determine the standard deviations for X. Here, number of trials, n = 80

Probability of success, p = 1/6 = 0.17

Probability of failure, q = 1 - p = 0.83

then the formula for mean and standard deviations are the following, mean = n×p

and standard deviations, std =

\(\sqrt{npq}\)

\(= \sqrt{ 80×0.83 × 0.17}\)

\(= \sqrt{ 11.288}\)

= 3.36

Hence, required value is equals to 3.36.

For more information about standard deviations, visit:

https://brainly.com/question/30612641

#SPJ4

An organized group of integers with a shared variance among each succeeding word is known as an arithmetic sequence. Hence, the right response is (b). 1/3, 1/9, 1/15, 1/21, 1/27.

Which collection of numbers doesn't fit the definition of an arithmetic sequence?

The following instances don't constitute arithmetic sequences: 1.) 2,4,8,16 is not true since the first with second terms differ by 2, while the third and fourth terms differ by 4, and the fifth and sixth terms differ by 8. There are no shared differences, hence the sequence is not arithmetic.

Is the number sequence 2 2 2 2 2 arithmetic?

The series cannot be an arithmetic sequence, however it may be defined. It does, nevertheless, have a common ratio across succeeding words, namely 1, which results in its geometric growth.

To know more about integers click here

brainly.com/question/10930045

#SPJ4

The pseudoinverse is a generalized inverse of a matrix, denoted by A+. To prove the properties of the pseudoinverse, we first need to verify that the given matrix satisfies the Penrose conditions, which are:

1. AA+A = A
2. A+A A = A+
3. (AA+)T = AA+
4. (A+A)A = A+A

Once we have verified that these conditions are satisfied, we can then proceed to prove the properties of the pseudoinverse. These properties include:

1. AA+A is symmetric and idempotent
2. A+A is symmetric and idempotent
3. AA+A is the unique matrix that satisfies the Penrose conditions
4. A+A is the unique matrix that satisfies the Penrose conditions
5. If A has full column rank, then A+A = (AA)−1

To summarize, in order to prove the properties of the pseudoinverse, we need to first verify that the given matrix satisfies the Penrose conditions. Once we have done that, we can then proceed to prove the various properties of the pseudoinverse, which include its symmetry, idempotency, uniqueness, and relation to the original matrix.
. In this case, we will verify that the given matrix satisfies the four Penrose conditions.

Let A be an arbitrary matrix and B be its pseudoinverse. We need to prove the following properties:

1. AB = A
2. BA = B
3. (AB)A = A
4. (BA)B = B

Step 1: AB = A
To prove this property, we need to multiply matrix A by its pseudoinverse B. By definition, the pseudoinverse is a unique matrix B that satisfies this property. Since the Penrose conditions require this equality, it holds true.

Step 2: BA = B
Similar to Step 1, we need to multiply matrix B by A. The pseudoinverse definition and Penrose conditions require that the product of BA should equal B, so this property is also satisfied.

Step 3: (AB)A = A
We already know that AB = A (from Step 1). Now, we need to multiply the result (AB) by A again. Since AB = A, this simplifies to AA = A. For this property to be satisfied, A must be an idempotent matrix, meaning that A*A = A. The pseudoinverse ensures this property is true by definition and according to the Penrose conditions.

Step 4: (BA)B = B
Similar to Step 3, we know that BA = B (from Step 2). Now, we need to multiply the result (BA) by B. Since BA = B, this simplifies to BB = B. The pseudoinverse ensures this property is true by definition and according to the Penrose conditions.

By verifying that the given matrix satisfies all four Penrose conditions, we have proved the properties of the pseudoinverse.

Learn more about Matrix here:- brainly.com/question/29132693.

#SPJ11

The expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all is '3k + 6'.To find the total number of kilometers Jackson, Maria, and Peter biked in all, we need to add up the distances each of them biked.

Let's assume the number of kilometers Jackson biked is 'k'.

Maria biked 8 more kilometers than Jackson, so her distance is 'k + 8'.

Peter biked 2 fewer kilometers than Jackson, so his distance is 'k - 2'.

To calculate the total distance, we add up the distances:

Total distance = Jackson's distance + Maria's distance + Peter's distance

Total distance = k + (k + 8) + (k - 2)

Simplifying the expression:

Total distance = 3k + 6

Therefore, the expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all is '3k + 6'.

To learn more about  expression click here:

/brainly.com/question/29013418

#SP11

The given system of linear equations consists of four equations with four variables: x, y, z, and w. To solve the system, we can use various methods, such as Gaussian elimination or matrix operations.

By performing row operations, we can reduce the system to its row-echelon form or solve it directly to find the values of x, y, z, and w. We will solve the system of linear equations using the method of Gaussian elimination. The augmented matrix representation of the system is:

[1 1 2 -1 | -2]

[0 3 1 2 | 2]

[1 1 0 3 | 2]

[-3 0 1 2 | 5]

First, we'll perform row operations to transform the matrix into the row-echelon form:

R2 = R2 - 3R1

R3 = R3 - R1

R4 = R4 + 3R1

The resulting matrix after these operations is:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | 5]

Next, we'll perform additional row operations to further simplify the matrix:

R4 = R4 - 3R2

The matrix now becomes:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 -2 4 | 4]

[0 3 1 2 | -19]

Finally, we'll perform the last row operation:

R3 = R3 + 2R2

The matrix is now in row-echelon form:

[1 1 2 -1 | -2]

[0 0 -5 5 | 8]

[0 0 0 14 | 20]

[0 3 1 2 | -19]

From this row-echelon form, we can solve for the variables. Starting from the bottom row, we obtain:

3w + z + 2w = -19, which simplifies to 5w + z = -19.

Next, we have 0x + 0y - 5z + 5w = 8, which simplifies to -5z + 5w = 8.

Lastly, x + y + 2z - w = -2.

At this point, we have three equations with three variables: x, y, and z. By solving this simplified system, we can find the values of x, y, and z.

Learn more about variables here:- brainly.com/question/15078630

#SPJ11

the inequality is

x> 12

all real numbers greater than 12

interval (12, infinite)

Answer:

84.9

Step-by-step explanation:

The total percentage decrease in the investor's stock account is 5%.

Investment in stock A = 5200

Investment in stock B = 6450

Investment in stock A and B  worth

5200 × (1- 0.03) = 5044

6450× ( 1- 0.06) = 6063

Total investment in both stock A and B now

5044 + 6063= 11107

Total investment in both stock A and B last year

5200 + 6450 = 11,650

Hence,

Total percentage decrease = 1 - (11,107 /11,650)

Total percentage decrease  = 1 - 0.95

Total percentage  decrease = 5%

Therefore 5% is the percentage decrease.

Learn more about percentage decrease here:https://brainly.com/question/11360390

#SPJ1

  The ant's entire distance travelled along its semicircular journey is its total distance travelled overall. The ant is travelling around a circle with radius R, thus the distance it has travelled is equal to half of the circle's circumference, πR.

The change in the ant's position is represented by a vector quantity called the displacement of the ant. The ant in this scenario begins at one end of the semi-circular path and moves 2R away from the beginning point to reach the other end. The direction of the displacement vector is from the starting point to the ending point, and the displacement's magnitude is equal to the 2R distance between the two points.

    So, the option c is most suitable option.

Therefore, πR and 2R are the ant's displacement and the distance travelled, respectively.

To know more about circle at :

brainly.com/question/27447563

#SPJ4

Some of the real life examples of parallel lines cut by transversal are: chessboard, graph paper,railway tracks,net on the tennis court etc.

When two lines don't intersect, they are said to be parallel. Parallel lines are two lines that run parallel to each other and meet at infinity.

A transversal is formed when a line intersects two lines at distinct points.

Real life examples of parallel lines cut by transversal line are:

Thus, in real life situations parallel lines cut by transversal can be observed very frequently.

To learn more about parallel lines refer here

https://brainly.com/question/29550714

#SPJ4

Answer: only one triangle

Step-by-step explanation:

How many triangles can be constructed with side lengths of 6.4 cm, 8.3 cm, and 14.6 cm? 0 1 more than one

The value(s) of k that make the function continuous over the given interval are k ≥ 0.

To determine the values of k that make the function f(x) continuous over the interval [0, 5] and (5, 10], we need to ensure that the function is defined and has no discontinuities at the endpoints and the transition point.

For the function f(x) = √(kx), the square root function is defined for non-negative values of its argument. Therefore, for the interval [0, 5], we require that kx ≥ 0 for all x in the interval. Since x is non-negative, it follows that k must also be non-negative or k ≥ 0.

For the interval (5, 10], the function is given by f(x) = x + 2, which is a linear function and is continuous for all real values of x. In this case, the value of k does not affect the continuity of the function.

In summary, for the function f(x) = √(kx) to be continuous over the interval [0, 5] and (5, 10], we need k to be non-negative or k ≥ 0.

Learn more about Function continuous

brainly.com/question/30089268

#SPJ11

The Type I Error in this scenario would be falsely concluding that the drug is better than the placebo when there is actually no difference between them.

In hypothesis testing, a Type I Error refers to the incorrect rejection of a null hypothesis when it is actually true. In the context of comparing a new drug to a control (placebo) in a statistical test, the null hypothesis would typically be that there is no difference between the drug and the placebo (no effect of the drug).

Now, let's analyze the options you provided:

1. Concluding that the control (placebo) is more effective than the drug: This would not be a Type I Error. It could be a correct conclusion if the data supports it or a Type II Error if the conclusion is incorrect (e.g., due to insufficient statistical power).

2. Falsely concluding that the drug is better than the placebo: This is the definition of a Type I Error. It means incorrectly rejecting the null hypothesis that there is no difference between the drug and the placebo, and concluding that the drug is better.

3. Falsely concluding there is an effect: This option is vague, as it does not specify whether it refers to an effect of the drug or an effect in general. If it refers to falsely concluding that there is an effect of the drug when there isn't, then it would be a Type I Error.

4. Correctly concluding that the drug is better than the placebo: This would not be a Type I Error if the conclusion is supported by the data.

5. Falsely concluding that the drug is not better than the placebo (falsely concluding there is no effect): This would be a Type II Error, not a Type I Error. A Type II Error occurs when the null hypothesis is not rejected, despite it being false.

6. Correctly concluding that the drug is not better than the placebo (there is no effect): This would not be a Type I Error if the conclusion is supported by the data.

Learn more about hypothesis here:

https://brainly.com/question/29576929

#SPJ11

Answer:

B. 17

Step-by-step explanation:

By the property of intersecting secants outside of a circle, we have:

7 (7 + x) = 8 (13 + 8)

49 +7x = 8*21

7x = 168 - 49

7x = 119

x = 119/7

x = 17

Answer:

1.1

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

The Carlos pay in service charges is $1721.3  

We have given that the Carlos took seven years to pay off his loan by making identical quarterly payments.

The loan had a principal of $22,375 and 5.49% interest, compounded quarterly.

P=22375 and interest rate =5.49%

Carlos paid a total of $28,821.67.  

We have to find how much did Carlos pay in service charges

First we find the monthly payment of the loan

The formula for monthly payment is,

\(M=\frac{amount}{discount}\)

Discount factor

\(P=\frac{1-(1+i)^{-n}}{i} \\\)

Where, Amount = $22,375 and r=0.0549 and compounded quarterly therefore n=4

\(i=r/n=0.0599/4\)

i=0.0137

Time =7 years

\(n=4\times 7=28\)

Now put all the values in above formula we get

\(P=\frac{1-(1+0.01372)^{-28}}{0.01372}\\\\P=\frac{1-(1+0.1372)^{-28}}{0.01372}\\\\P=\frac{1-0.6827}{0.01372}\\\\P=\frac{0.3172}{0.01372}\\\\P=23.11\)

Monthly payment,

Use the value in the formula of monthly payment

\(M=\frac{22375}{23.1177}\)

\(M=967.871\)

The payment he has for for 7 years compounded quarterly that is  for 28

Therefore the payment,

\(Payment= 967.871 \times 28 = $27100.39\)

\(Service charges = Total payment - payment\)

                           \(= $28,821.67 - $27100.39\)

                           \(= $1721.27\)

Therefore, Carlos pay in service charges is $1721.3

To learn more about the monthly payment visit:

https://brainly.com/question/2151013

Answer:

a

Step-by-step explanation:

just took test on edge

The measure of angle E in triangle A is approximately 49.44 degrees.

This is determined by calculating the inverse sine of the ratio of the length of the side opposite angle E (22) to the radius of the circle (14).

In triangle A, we are given the radius of the circle (14) and the length of side CD (22). To find the measure of angle E, we can use the sine function.

The sine of angle E is equal to the ratio of the length of the side opposite angle E (CD) to the hypotenuse (the radius of the circle). Using the given values, we have sin(E) = CD/AB = 22/14. To find the measure of angle E, we take the inverse sine (or arcsine) of this ratio. Using a calculator, the inverse sine of 22/14 is approximately 49.44 degrees. Therefore, the measure of angle E in triangle A is approximately 49.44 degrees.

To learn more about hypotenuse click here

brainly.com/question/16893462

#SPJ11

Answer:

18 feet

Step-by-step explanation:

12/2 is 6

6*3= 18

The equivalent ratio to tan F  in  right angles triangle, △EFD is tan F = DE / DF.

For the stated question:

△EFD∼△GHD

So, in right angles triangle, △EFD

Sin Ф = perpendicular / hypotenuse.

Sin E = DF / EF

And,

The ratio is equivalent to tan F = perpendicular / base

tan F = DE / DF

Thus, the equivalent ratio to tan F  in  right angles triangle, △EFD is tan F = DE / DF.

Know more about similar triangles

https://brainly.com/question/14285697

#SPJ9

The complete question is attached:

The area of cheese is 30 square centimeters.

A triangle is a polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that the height of the cheese is 2.5 inches and the base is 3.75 inches. The value of 1 inch is 2.54 centimeters.

Now convert 2.5 inches and 3.75 inches into centimeter:

The area of triangle is (1/2) × base × height

The area of the cheese is [(1/2) × 6.35 × 9.525] square centimeter

= 30.24 square centimeter

= 30 square centimeters (nearest square centimeter)

Learn more about inches to centimeters conversion at:

https://brainly.com/question/4527322

Answer:

30 cm²

Step-by-step explanation:

The area of a triangle can be found by halving the product of its base and height:

\(\boxed{\begin{minipage}{4 cm}\underline{Area of a triangle}\\\\$A=\dfrac{1}{2}bh$\\\\where:\\ \phantom{ww}$\bullet$ $b$ is the base. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)

Given the triangular piece of cheese has a base of 3.75 inches and a height of 2.5 inches:

Substitute these values into the area of a triangle formula to find the area of cheese in terms of square inches:

\(\begin{aligned}A&=\dfrac{1}{2} \cdot 3.75 \cdot 2.5\\&=1.875 \cdot 2.5\\&=4.6875\; \sf square\;inches\end{aligned}\)

Therefore, the area of the cheese is 4.6875 square inches.

If 1 inch = 2.54 centimeters, then:

\(\begin{aligned}\sf 1\;in&=\sf 2.54\; cm\\\sf (1\;in)^2&=\sf (2.54\; cm)^2\\\sf 1^2\;in^2&=\sf 2.54^2\;cm^2\\\sf 1\;in^2&=\sf 6.4516\; cm^2\end{aligned}\)

Therefore, if 1 in² = 6.4516 cm², to convert square inches to square centimeters, multiply the square inches by 6.4516:

\(\begin{aligned}\sf 4.6875 \; in^2&=\sf 4.8675 \cdot 6.4516\\ &=\sf 30.241875\; cm^2\\ &= \sf 30\; cm^2\end{aligned}\)

Therefore, the area of the cheese is 30 cm², rounded to the nearest square centimeter.

Answer:

isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.