In a survey of 468 registered voters, 152 of them wished to see Mayor Waffleskate lose her next election. The Waffleskate campaign claims that no more than 32% of registered voters wish to see her defeated. Does the 95% confidence interval for the proportion support this claim? (Hint: you should first construct the 95% confidence interval for the proportion of registered voters who whish to see Waffleskate defeated.)
a. The reasonableness of the claim cannot be determined.
b. Yes
c. No

Answer:

Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.

edmentum

Answer:

Mark Twain expresses the views of many anti-imperialists by stating that US intervention should be limited to helping other countries gain their freedom and then letting them run their countries their own way. He did not believe that the US should remain in foreign territories, imposing American policies. This is reflected in the metaphor of the eagle and the talon. The symbol of the United States has long been the bald eagle, a majestic predator. Eagles use their talons to capture and kill prey. This imagery fits with the anti-imperialists’ objections to violent overseas wars and forcible colonization.

Step-by-step explanation:

If the intended margin of error equals 4 less than with a 0.95 probability, the sample size is 126.

The \(\alpha\) level is calculated by subtracting 1 from the confidence interval and dividing by 2.

\(\alpha\) = (1 - 0.95) ÷ 2

\(\alpha\) = 0.025

Find z inside the Z-table because it has a p-value of 1 - \(\alpha\).

So, z = 1.96 with a p-value = 1 - 0.025 = 0.975.

Now, consider that margin of error M.

M = z × (σ ÷ √n)

The standard deviation is determined as the square root of variance.

σ = √522 = 22.84

With a 0.95 probability, the sample size that requires to be accepted if the expected margin of error is 4 or less is,

The sample size of at least n, in which n is encountered when M = 4. So,

M = z × (σ ÷ √n)

4 = 1.96 × (22.84 ÷ √n)

4√n = 1.96 × 22.84

√n = (1.96 × 22.84) ÷ 4

√n = 11.1916

n = (11.1916)²

n = 125.25 ≈ 126

A sample size of at minimum 126 people is required.

Learn more about the probability at

https://brainly.com/question/15121653?referrer=searchResults

#SPJ4

Answer:

X÷5y

Step-by-step explanation:

5 x y is 5y and then we divide

The expression for the given phrase is 5y/x.

Given that, x divided by the product of 5 and y.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

The product of 5 and y =5×y

= 5y

x divided by the product of 5 and y

= 5y/x

Therefore, the expression for the given phrase is 5y/x.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

Read about percentage change at

https://brainly.com/question/11360390

#SPJ1

The perimeter of triangle is 66.24 units.

What is triangle?

In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane

Main body:

according to question :

c = 28

let the vertices be A,B,C

∠A= 30°

by using trigonometric ratios,

BC/ AB = sin30°

AB = C = 28

BC/28 = sin30°

BC = 28*sin30°

BC= 28*(1/2)

BC = 14

similarly

AB /CA = cos 30°

28/CA = √3/2

CA = 28*√3/2

CA = 14/√3

CA = 24.24

Hence , perimeter = AB +BC +CA = 28+14+24.24

                              =66.24 units

To know more about perimeter , visit:

https://brainly.com/question/25092270

#SPJ1

The partial derivative fₓ(1, 3) of the function f(x, y) at the point (1, 3) is equal to 4.

The equation of the tangent plane to the surface z = f(x, y) at the point (x₀, y₀) is given as 4x + 2y + z = 6. This equation represents a plane in three-dimensional space. The coefficients of x, y, and z in the equation correspond to the partial derivatives of f(x, y) with respect to x, y, and z, respectively.

To find the partial derivative fₓ(1, 3), we can compare the equation of the tangent plane to the general equation of a plane, which is Ax + By + Cz = D. By comparing the coefficients, we can determine the partial derivatives. In this case, the coefficient of x is 4, which corresponds to fₓ(1, 3).

Therefore, fₓ(1, 3) = 4. This means that the rate of change of the function f with respect to x at the point (1, 3) is 4.

Learn more about partial derivative here

brainly.com/question/32387059

#SPJ4

Given question is incomplete, the complete question is below

Let f : R² → R. Suppose it is known that the surface z = f(x, y) has a tangent plane with equation 4x + 2y + z = 6 at the point where (x₀, y₀) = (1, 3).

(a) What is fₓ(1, 3)?

The approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

What is circle?

A circle is a geometric shape that consists of all points in a plane that are equidistant from a fixed point called the center.

To solve this problem, we need to find the area of the trapezoid and subtract the area of the semicircle.

The area of a trapezoid is given by the formula:

A = (a + b)h/2

where a and b are the lengths of the parallel sides, and h is the height (the perpendicular distance between the parallel sides).

In this case, we have:

a = 24 inches (the top parallel side)

b = 16 inches (the bottom parallel side)

h = 12 inches (the height)

Using the formula, we get:

A = (24 + 16) x 12/2

A = 240 square inches

The area of a semicircle is given by the formula:

A = πr²/2

where r is the radius of the circle.

In this case, the radius is half of the length of the wiper, so we have:

r = 16/2 = 8 inches

Using the formula, we get:

A = π(8²)/2

A ≈ 100.5 square inches

Therefore, the approximate area of the window that is not cleaned by the wiper is:

240 - 100.5 ≈ 139.5 square inches. Answer: \boxed{139.5}.

To learn more about circle from the given link:

https://brainly.com/question/29142813

#SPJ1

Answer:

for line b - the slope is 0, not undefined. an undefined slope is a vertical line.

for line d - the slope is -1/3. slope is written rise over run, so just count the units that it goes down and how many it goes right. it goes down 1 and right 3, so it is -1/3.

0.529 is the probability that a student does not have a college degree.

From the information given, we know that:

The formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).

Using these values, we can calculate:

P(college degree and B) = (1/2) * (400/850) = 0.235

P(A and B) = 310/850 - 0.235 = 0.07

Finally, we can calculate P(A) using the formula for total probability:

P(A) = 1 - P(college degree)

= 1 - (400/850)

= 0.529

Therefore, the probability that a student does not have a college degree is 0.529.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ1

The expected value for participating in this raffle ≈ $0.9336.

To calculate the expected value for the raffle, we need to multiply the value of each prize by its probability of being won and sum them up.

Let's calculate the probability of winning each prize:

- Grand Prize ($7,900.00): There is only 1 grand prize, and since you have bought one ticket out of 11,000, the probability of winning the grand prize is 1/11,000.

- $980.00 Prizes: There are 2 of these prizes, and the probability of winning each is 2/11,000.

- $54.00 Prizes: There are 5 of these prizes, and the probability of winning each is 5/11,000.

- $20.00 Prizes: There are 15 of these prizes, and the probability of winning each is 15/11,000.

Now, let's calculate the expected value:

Expected Value = (Probability of winning Grand Prize * Value of Grand Prize) + (Probability of winning $980.00 Prize * Value of $980.00 Prize) + (Probability of winning $54.00 Prize * Value of $54.00 Prize) + (Probability of winning $20.00 Prize * Value of $20.00 Prize)

Expected Value = (1/11,000 * $7,900.00) + (2/11,000 * $980.00) + (5/11,000 * $54.00) + (15/11,000 * $20.00)

Calculating this expression:

Expected Value = $0.71818181818 + $0.16363636364 + $0.02454545454 + $0.02727272727

Expected Value ≈ $0.93363636364

This means that, on average, you can expect to win about $0.9336 per ticket you buy.

To know more about expected value refer here:

https://brainly.com/question/28197299#

#SPJ11

The given linear system can be represented as a matrix equation:

A * X = B

where `A` is the coefficient matrix, `X` is the variable matrix, and `B` is the constant matrix.

The augmented matrix for the system is:

[-6 1 4 -2 | 1]

Using Gaussian elimination or row reduction, we can transform the augmented matrix to its row-echelon form:

[1 -1/6 -2/3 1/3 | -1/6]

[0 1 2/3 -1/3 | 1/6]

[0 0 0 0 | 0 ]

This row-echelon form implies that the system has a dependent variable since the third row consists of all zeros. In other words, there are infinitely many solutions to the system. The dependent variable, denoted as `x3`, can be expressed in terms of free parameters `s1` and `s2`.

Therefore, the set of solutions to the given linear system is:

x1 = -1/6 + (2/3)s1 - (1/3)s2

x2 = 1/6 - (2/3)s1 + (1/3)s2

x3 = s1

x4 = s2

where `s1` and `s2` are arbitrary real numbers that serve as parameters. These equations represent the general form of the solution, accounting for the infinite possible solutions.

Learn more about Linear system here:

brainly.com/question/21404414

#SPJ11

The triangles ΔTDA and ΔTFC are similar, such that the lengths of the sides of ΔTDA are 3 times the length of the sides of ΔTFC. If AD = 5, then the length of CF should be CF = 15

Two triangles are similar if two sides in one triangle are proportional to two sides in the other triangle and the included angle between the two sides in both triangles are congruent.

The possible figure in the question is attached

From the attached figure, we get;

The length of the side TC is 3 times the length of the side TA

The length of the side T_F is 3 times the length of the side TD

The angle ∠T is congruent to itself according to reflexive property of congruency

Therefore, using the similarity of the triangles, ΔTDA and ΔTFC, (ΔTDA ~ ΔTFC), we get;

The length of the side CF in ΔTFC is 3 times the length of the side AD in ΔTDA

Therefore, if AD = 5, CF = 3 × 5 = 15

Learn more about similar triangles here:

https://brainly.com/question/12269579

#SPJ1

Intro:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

When we are finding the unit rate we should know that the rate of change is the change of y over the change of x.

\(m=\frac{y}{x} =\frac{3496}{46}\)

Now we just simplify to get...

76 words/min.

Answer:

Gordan types 76 words per minute.

I hoped this helps if so please mark brainliest!

Step-by-step explanation:

Divide the words by time.

3,496/46= 76

The values of a\(_{0}\) and a\(_{6}\) are 1 and 7/16 respectively.

For the given Taylor series, we know that the Maclaurin expansion for \(e^x\), cos(4x) and cos(2x) are:

\(e^x\) = ∑\((k=0)^{\alpha } (x^k)/k!\)

cos(4x) = ∑\((k=0)^{\alpha } ((-1)^k (2k)!)/((4^k) k!)\)

cos(2x) = ∑\((k=0)^{\alpha } ((-1)^k (2k)!)/((2^k) k!)\)

Thus, using the multiplication property of Taylor series, we can write the given Taylor series as:

\(e^{2x}\) cos(4x) = ∑\((k=0)^{\alpha } (a_k x^k)\)

where \(a_k\) = \((1/2^k)\) * ∑\((j=0)^k (j+2)!/((2^j) j! (k-j)!)\)

Now, we need to find a\(_{0}\) and a\(_{6}\), which can be calculated as follows:

a\(_{0}\) = \((1/2^0)\) * \([(0+2)!/((2^0) 0! (0-0)!)]\) = 1

a\(_{6}\) = \((1/2^6)\) *\([6!/(2^0 0! 6!) + 7!/(2^1 1! 5!) + 8!/(2^2 2! 4!) + 9!/(2^3 3! 3!)]\)= 7/16

Therefore, the values of a\(_{0}\) and a\(_{6}\) are 1 and 7/16 respectively.

learn more about Maclaurin expansion here:

https://brainly.com/question/29750683

#SPJ11

Answer:

A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.

Step-by-step explanation:

You will reject the null hypothesis if your sample average is in the area of the null hypothesis sampling distribution called alpha.

In summary, to reject the null hypothesis, the sample average needs to fall in the area of the null hypothesis sampling distribution known as alpha.

To explain the answer, hypothesis testing involves comparing a null hypothesis (the statement being tested) with an alternative hypothesis. In this scenario, the null hypothesis states that the average number of screaming 12-year-olds at Ariana Grande concerts is equal to the known population average of screaming 12-year-olds at Drake concerts.

To make a decision about the null hypothesis, we calculate the sample average from data collected at Ariana Grande concerts. We then compare this sample average to a predetermined significance level called alpha.

If the sample average falls within the critical region, which is determined by alpha, we reject the null hypothesis. The critical region represents extreme values that would be unlikely to occur if the null hypothesis were true.

Therefore, if the sample average is in the area of the null hypothesis sampling distribution called alpha, we reject the null hypothesis, indicating that there is a significant difference between the average number of screaming 12-year-olds at Ariana Grande concerts and the known population average at Drake concerts.

Learn more about average here:

https://brainly.com/question/8501033

#SPJ11

The complete question is :

Suppose you are testing the null hypothesis that the average number of screaming 12 year-olds at Ariana Grande concerts is equal to the known population average of screaming 12 year-olds at Drake concerts. You will reject the null hypothesis if.....

a)your null (comparison) average is in the area of the alternative hypothesis sampling distribution called D (Beta)

b) your null (comparison) average is in the area of the alternative hypothesis sampling distribution called u (alpha)

c)your sample average is in the area of the null hypothesis sampling distribution called beta

d)your sample average is in the area of the null hypothesis sampling distribution called alpha.

Answer: i think is d not sure tho

Step-by-step explanation:

The absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

An absolute value function of vertex (h,k) is defined as follows:

y = a|x - h| + k.

In which a is the leading coefficient.

The coordinates of the vertex for this problem are given as follows:

(1, -2).

As the slope of the line is of 1, the leading coefficient is given as follows:

a = 1.

Hence the absolute value function for this problem is given as follows:

g(x) = |x - 1| - 2.

More can be learned about absolute value functions at brainly.com/question/3381225

#SPJ1

Answer:

15.42

Step-by-step explanation:

The formula for finding the perimeter of a semicircle: r(π+2)

Therefore, 3(π+2)

9.42+6 = 15.42

The conversion rate is the proportion of sales leads that become paying clients, or the proportion of clients who make a purchase.

The percentage of sales leads that become actual customers, or customers who make a purchase, is known as the conversion rate. It is a crucial number for e-commerce companies since it allows them to assess the success of their sales and marketing initiatives.  The conversion rate is derived by dividing the total number of leads by the number of successful sales or conversions. It gauges how effectively a website converts leads into paying clients. Companies can improve their websites and marketing tactics to raise conversion rates by measuring conversion rates and identifying areas for improvement. Additionally, businesses can utilise conversion rate to assess the efficiency of various marketing initiatives and campaigns and identify the ones that are most successful at generating sales.

Learn more about rate here

https://brainly.com/question/13481529

#SPJ4

Answer:

421 students out of 500 would score higher than 68

Step-by-step explanation:

P(X>68) = normalcdf(68,100,75,7) = 0.841 = 84.1%

Therefore, 84.1% of 500 students is 421 (remember to round up).

There are 421 students out of 500 who would score higher than 68 if the mean is 75 and the standard deviation is 7.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

Given a mean of 75 and a standard deviation of 7,

Mean μ = 75

SD σ = 7

By using the normal distribution,

P(X > 68) = P( z > (68-μ)/σ)

P(z > 1)

By using z-table, we get

= 0.8413

Therefore, 84.1% of 500 students is 421 (rounded to the nearest integer).

Hence, 84.1% of students out of 500 would score higher than 68.

To learn more about standard deviation click here:

brainly.com/question/23907081

#SPJ2

Now, apply the product rule to find f'(x): f'(x) = u'(x) * v(x) + u(x) * v'(x)
f'(x) = [8(2x^4 - 2)^7 * (8x^3)] * (-3x^3 + 8)^14 + (2x^4 - 2)^8 * [14(-3x^3 + 8)^13 * (-9x^2)]
So, f'(x) is the derivative of the given function.

To find the derivative of f(x), we will use the chain rule and product rule.

f(x) = (2 . x^4 – 2)^8 . (-3.x^3 +8)^14

f'(x) = [8(2 . x^4 – 2)^7 . 8x^3] . (-3.x^3 +8)^14 + [14(-3.x^3 +8)^13 . (-3x^2)(2 . x^4 – 2)^8]

Simplifying this expression, we get:

f'(x) = 16x^3(2 . x^4 – 2)^7(-3.x^3 +8)^14 + 14(-3x^2)(2 . x^4 – 2)^8(-3.x^3 +8)^13

Therefore, the derivative of f(x) is f'(x) = 16x^3(2 . x^4 – 2)^7(-3.x^3 +8)^14 + 14(-3x^2)(2 . x^4 – 2)^8(-3.x^3 +8)^13.
Hello! To find the derivative f'(x) of the given function f(x) = (2x^4 - 2)^8 * (-3x^3 + 8)^14, we will use the product rule and chain rule.

Product rule: (u * v)' = u' * v + u * v'
Chain rule: (g(h(x)))' = g'(h(x)) * h'(x)

Let u(x) = (2x^4 - 2)^8 and v(x) = (-3x^3 + 8)^14.

First, find the derivatives of u(x) and v(x) using the chain rule:
u'(x) = 8(2x^4 - 2)^7 * (8x^3)
v'(x) = 14(-3x^3 + 8)^13 * (-9x^2)

Learn more about derivative here:

https://brainly.com/question/30365299

#SPJ11

Using the .01 level of significance means that, in the long run, a Type I error occurs 1 time in 100. This means that if we perform a statistical test 100 times, and we set the level of significance at .01, then we can expect to observe one false positive result due to chance alone. So, the correct option is 1).

A Type I error occurs when we reject a true null hypothesis, or when we conclude that there is a significant difference or relationship between two variables when in fact there is not.

By setting the level of significance at .01, we are minimizing the risk of making a Type I error while increasing the risk of making a Type II error, which occurs when we fail to reject a false null hypothesis. So, the correct answer is 1).

To know more about Null hypothesis:

https://brainly.com/question/28920252

#SPJ4

The numeric value of the function for each case is given as follows:

5. f(-11) = 1841.

6. g(1/3) = 14.78.

7. h(-1/2) = -5/8.

To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.

Hence item 5 is solved as follows:

f(-11) = -(-11)³ + 5(-11)² + 9(-11) + 4

f(-11) = 1841.

Item 6 is solved as follows:

g(1/3) = 3(1/3)³ + 6(1/3)² + 12(1/3) + 10

g(1/3) = 14.78.

Item 7 is solved as follows:

h(-1/2) = 9(-1/2)³ - 8(-1/2)² + 11(-1/2) + 8

h(-1/2) = -5/8.

Learn more about the numeric values of a function at brainly.com/question/28367050

#SPJ1

Answer:

1 calculator cost £12  

120 divided by 10 = 12

now 8 x 12 = £96

8 calculators cost £96

Step-by-step explanation:

Answer:

£96

Step-by-step explanation:

If you have 10 calculators which cost £120, you just need to divide 120 by 10 which will give you 12. Since 8 is only 2 away from 10, you just need to times 12 by 2, giving you 24, then take that away from 10! Hope this helped!

0.98

1) To write this fraction:

2) And rewrite itAs a decimal number, we have to rewrite the 98 and move the dot two digits back. So we can say that 98/100 = 0.98 Like this:

Answer:

A = 182

Step-by-step explanation:

14 x 13 = 182

So, 182 would be your answer.

Answer:

B) 7 apple pies for 24.50

Step-by-step explanation:

11/3=3.66666666666...

24.50/7=3.5

3.5 is less than 3.66666666...

so B is a better buy.

Can I have brainliest!

Answer:

function g is positive over (-∞, ∞)

function g has a y-intercept of (0,4)

function g decreasing over the interval (-∞, 0)

Step-by-step explanation:

Answer:

function g is positive over (-∞, ∞)

function g has a y-intercept of (0,4)

function g decreasing over the interval (-∞, 0)

Step-by-step explanation:

The values are given as:

(a) Approximate the value of e^6 to 4 decimal places:

The value of

The approximate value to 4 decimal places is 403.4288.

(b) Approximate the value of e^(-0.66) to 4 decimal places:

Approximated value to 4 decimal places is 0.5168..