a news agency publishes results of a recent poll. it reports that a certain candidate has a 10-point stronger support in town a than in town b because 45% of the poll participants in town a and 35% of the poll participants in town b supported the candidate. what margin of error should the news agency report for each of the listed estimates, 45%, 35%, and 10%? notice that 900 randomly selected registered voters participated in the poll in each town, and the reported margins of error correspond to 95% confidence intervals.

Step-by-step explanation:

a/b × c/d = (a×b)/(c×d)

so,

-4/9 × 11/12 = (-4×11) / (9×12) = -44/108 = -11/27

Answer:

-12x

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

-4+ -8= -12

anything times 1 is its self so that's ur answer

a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Answer:

45 cm²

explanation:

area of parallelogram = base * height

using formula:

base * height

9  *  5

45 cm²

Answer:

45 \(cm^{2}\)

Step-by-step explanation:

area of a parallelogram:

A = b(h)   b = base  h = height

A = (9)(5)

A = 45

====================================================

let's evaluate this expression

\(\pmb{\displaystyle\frac{8-m}{n+p^2} }\)

\(\pmb{\displaystyle\frac{8-8}{2+7^2}}\) (step 1)

\(\pmb{\displaystyle\frac{0}{2+49}}\) (step 2)

simplify:

\(\pmb{\displaystyle\frac{0}{51}}\) (step 3)

\(\pmb{0}\) (step 4)

=======================================

Hope everything is clear; if you need any more clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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Answer:

1. X-3=0 Because 3-3=0

4. 6=2x AS 2(3)=6

I'm Not sure about Equation 6

The p-value for a two-tailed test with a two-sample z statistic of 1.35 is approximately 17.7%.

To determine the p-value for a two-tailed test using a two-sample z statistic of 1.35, we need to find the probability of observing a test statistic as extreme as 1.35 or more extreme in both tails of the distribution.

The p-value corresponds to the area under the curve beyond the observed test statistic in both tails. Since the test is two-tailed, we need to calculate the cumulative probability in both the left and right tails.

Using a standard normal distribution table or a statistical software, we can find the cumulative probability for the test statistic of 1.35. In this case, the area in one tail would be 1 - (cumulative probability of 1.35) = 1 - 0.9115 ≈ 0.0885.

Since we're conducting a two-tailed test, we need to consider both tails, so the total p-value is twice the value obtained from one tail.

P-value = 2 * 0.0885 = 0.177.

Converting this value to a percentage, the p-value is approximately 17.7%.

Therefore, the p-value for the two-tailed test with a two-sample z statistic of 1.35 is approximately 17.7%.

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Answer:

BC = 18.34°

Step-by-step explanation:

Recall: Exterior angle formed by 2 secants = ½(the difference of the measures of the intercepts arcs)

Thus:

m<BAC = ½(DE - BC)

27.42° = ½(73.18 - BC) => Substitution

Multiply both sides by 2

2*27.42 = 73.18 - BC

54.84 = 73.18 - BC

BC = 73.18 - 54.84

BC = 18.34°

Find x first

\(\\ \tt\hookrightarrow 9x-15=5x-3\)

\(\\ \tt\hookrightarrow 9x-5x=-3+15\)

\(\\ \tt\hookrightarrow 4x=12\)

\(\\ \tt\hookrightarrow x=3\)

Now

\(\\ \tt\hookrightarrow 3x-4=4y-2\)

\(\\ \tt\hookrightarrow 3(3)-4=4y-2\)

\(\\ \tt\hookrightarrow 9-4=4y-2\)

\(\\ \tt\hookrightarrow 4y-2=5\)

\(\\ \tt\hookrightarrow 4y=7\)

\(\\ \tt\hookrightarrow y=7/4\)

Answer:

-4

Step-by-step explanation:

divide -24 by 6

x= -4

Answer:

x= -4

Step-by-step explanation:

6x = -24

transpose

x= -24/6

x= -4

To perform the calculation using the correct order of operations, we need to apply the operations in the following order: parentheses, then multiplication/division from left to right, and finally addition/subtraction from left to right. The given expression is 4.01/0.25 - (12.46 - 0.3 + 27.62). By following the correct order of operations, we can find the result.

Let's break down the given expression and apply the order of operations step by step:

First, we evaluate the expression inside the parentheses: 12.46 - 0.3 + 27.62 = 12.16 + 27.62 = 39.78.

Next, we perform the division: 4.01/0.25 = 16.04.

Finally, we subtract the result from step 2 from the result of step 1: 16.04 - 39.78 = -23.74.

Therefore, the final result of the given expression, following the correct order of operations, is -23.74.

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The set O consists of even numbers that are less than 11. The elements in the set O are {2, 4, 6, 8, 10}. A set is a collection of distinct elements, and the elements in a set are enclosed within curly braces.

The set O consists of even numbers that are less than 11, and the even numbers are those that can be divided by 2 without any remainder. Thus, the elements in the set O are {2, 4, 6, 8, 10}.

The first element in the set is 2, which is the smallest even number. The next even number is 4, followed by 6, 8, and 10. Since the set consists only of even numbers, there are no odd numbers in the set O. Similarly, since the set is defined to have a maximum value of 10, there are no even numbers greater than 10 in the set O.

In summary, the set O consists of the even numbers that are less than 11, and it contains the elements {2, 4, 6, 8, 10}.

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the answer to log 45 will be Q + 2P.

What is Logarithmic functions?

A logarithmic function is a type of function that can be expressed in the form: f(x) = a log(bx + c) + d where a, b, c, and d are constants and x is the independent variable. The base of the logarithm is usually assumed to be 10, but can be any other positive number.

Logarithmic functions are used in a variety of applications, including finance, physics, and engineering. In finance, logarithmic functions are used to calculate compound interest. In physics, logarithmic functions are used to describe exponential decay and growth. In engineering, logarithmic functions are used to model the behavior of electrical circuits and other systems.

log a (45) = log a (9) + log a (5)

Next, we can use the fact that log a (x^n) = n log a (x) to simplify the first term:

log a (9) = log a (3²) = 2 log a (3) = 2p

Finally, we can substitute the given values for p and q and simplify the expression:

log a (45) = 2p + q = 2 log a (3) + log a (5) = log a (3²) + log a (5) = log a (3² * 5)

Therefore, we have:

log a (45) = log a (3² * 5)

Now, using the property that log a (x * y) = log a (x) + log a (y), we can simplify this expression even further:

log a (45) = log a (3²) + log a (5) = 2 log a (3) + log a (5) = Q + 2P

Therefore, log a (45) is equivalent to Q + 2P.

Therefore, the answer is Q + 2P.

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The volume of the prism is

The volume of the prism is solved by the formula

= area of triangle * depth

Area of the triangle

= 1/2 base * height

base = p = cos 51.34 * √41 = 4

height = q = sin 51.34 * √41 = 5

= 1/2 * 4 * 5

= 10

volume of the prism

= area of triangle * depth

= 10 * 7

= 70 cm³

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Answer:

Surface area of prism A is approximately 12.4 square units.

Step-by-step explanation:

Since prism A and prism B are similar, their corresponding side lengths are proportional. Let's use the scale factor k to represent the ratio of the side lengths of prism B to those of prism A. Then, the volume of prism B is (k³)(27) = 27k³ cubic units. Similarly, the surface area of prism B is (k²)(surface area of prism A).

We are given that the volume of prism B is approximately 512 cubic units. Therefore, we can solve for k:

27k³ = 512

k³ = 512/27

k ≈ 3.62

Now, we can use k to find the surface area of prism A:

surface area of prism B = (k²)(surface area of prism A)

128 = (3.62²)(surface area of prism A)

surface area of prism A ≈ 12.4 square units

Therefore, the surface area of prism A is approximately 12.4 square units.

Answer:

4:30

Step-by-step explanation:

3:00+1 hour and 5 minutes=4:05

4:05+25 minutes=4:30

The new coordinates of the dilated figure are given as follows:

A(-8,6), B(6,4) and C(-8,0).

A dilation is defined as a non-rigid transformation that multiplies the distances between every point in a polygon or even a function graph, called the center of dilation, by a constant factor called the scale factor.

The original coordinates of the figure in this problem are given as follows:

A(-4,3), B(3,2) and C(-4,0).

The scale factor is given as follows:

k = 2.

Hence the coordinates of the dilated figure are the coordinates of the original figure multiplied by 2, as follows:

A(-8,6), B(6,4) and C(-8,0).

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Answer:

The answer is "29".

Step-by-step explanation:

17 - ( -12) =

17 + 12 =

= 29

Answer:

The answer is 29

Step-by-step explanation:

the answer is 29

The probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

Given that Edward works as a waiter, where his monthly tip income is normally distributed with a mean of $2,000 and a standard deviation of $350.

The z score formula is given by;`z = (x - μ) / σ`

Where; x is the raw scoreμ the mean of the populationσ is the standard deviation of the population.

The probability that Edward’s monthly tip income exceeds $2,350 is to be found.`z = (x - μ) / σ``z = (2350 - 2000) / 350``z = 1`

The value of z is 1.

To find the area in the right tail, use the standard normal distribution table.

The table value for z = 1.0 is 0.8413.

Therefore, the probability that Edward’s monthly tip income exceeds $2,350 is 0.8413.

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Answer:

8 3/4

Step-by-step explanation:

Answer:

8 7/5.

Lets break this down,

First we must add up 3 1/2 and 2 3/4 which would be 6 2/5. then add 1 1/4 and 1 1/4 which is 2 2/4 then, lastly, you add up 6 2/5 and 2 2/4, which is 8 7/5.

Answer:

m = 36

Step-by-step explanation:

A^2 + B^2 =  C^2

81 +  144 = 225

square root of 225 =  15

n = 15

m = ?

39 = 39

225  + m ^2 = 1521

m^2 = 1296

m = 36.

CHECK :

225 + 1296 =  1521

CORRECT!

Answer:

6 trials

Step-by-step explanation:

The number of rats that run the maze incorrectly after t trials ;

N(t) = 100e^-0.14t

Initial number of rats = 100

45% of rats to run the maze incorrectly ; 45% * 100 = 45 rats

N(t) = 45

N(t) = 100e^-0.14t

45 = 100e^-0.14t

45/100 = e^-0.14t

0.45 = e^-0.14t

Take the In of both sides :

In(0.45) = In(e^-0.14t)

- 0.798507 = - 0.14t

Divide both sides by -0.14

- 0.798507 / - 0.14 = - 0.14t / - 0.14

5.7036 = t

To the nearest whole number :

Number of trials, t = 6 trials

The remaining zeros of each function are given as follows:

3. 4 + i.

4. 4i and 2 - square root of 5.

For function 3, we must consider that when we have a complex root, it's conjugate is also a root of the function.

The complex root for this problem is given as follows:

4 - i.

For the conjugate, the real part remains constant, while the signal of the imaginary part is exchanged, hence the remaining root is given as follows:

4 + i.

The same is applied for one of the roots of function 4. Considering the complex root of -4i, the conjugate 4i is one of the remaining roots.

Additionally, as 2 + square root of 5 is a root, 2 - square root of 5 is another remaining root of the function.

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The dimensions of the prism are y, (3y + 1), and (y + 5).

A rectangular prism has three sides: length, breadth, and depth.

Volume equals length, width, and depth.

In this case, V is equal to V = 3y3 + 16y2 + 5y. The dimensions of the prism might be those if you can divide that into three terms.

How is it factored? Do the three terms share any similarities?

Yes, they do all have a y, so take that into account for each word.

V = y(3y2 + 16y + 5)

Then, factor in what's left.

V = y(3y + 1)(y + 5)

The dimensions of the prism are y, (3y + 1), and (y + 5).

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Answer:

952 ft²

Step-by-step explanation:

bottom surface: rectangle

area = 10 ft × 14 ft = 140 ft²

front and back surfaces: rectangle and triangle (2 equal surface areas)

area = ( 10 ft × 10 ft + 10 ft × 8 ft / 2 ) × 2 = 280 ft²

right and left vertical surfaces: rectangles (2 equal surface areas)

area = 14 ft × 10 ft × 2 = 280 ft²

right and left tilted surfaces: rectangles (2 equal surface areas)

area = 14 ft × 9 ft × 2 = 252 ft²

total surface area = 140 ft² + 280 ft² + 280 ft² + 252 ft²

total surface area = 952 ft²

The perimeter of the octagon is 64 centimeters. To find the perimeter of the octagon, we need to determine the length of one side and then multiply it by 8 since an octagon has 8 equal sides.

Let's denote the side length of the octagon as "x". Since the four triangles are removed from a square piece of sheet metal, the remaining shape is also a square.

The area of the square is equal to the side length squared, so the area of the square piece of sheet metal is x^2. We are given that the total area of the removed material is 196 square centimeters. Since there are four triangles, the area of each triangle is 196/4 = 49 square centimeters.

The area of a triangle is equal to (base * height) / 2. In this case, the base and height of each triangle are equal to x, so we can write the equation as (x * x) / 2 = 49.

Simplifying the equation, we have x^2 = 98.

Taking the square root of both sides, we find x = √98 = √(49 * 2) = 7√2.

Finally, multiplying the side length by 8, we get the perimeter of the octagon: 8 * (7√2) = 56√2, which is approximately 79.4 centimeters.

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Answer:

camera D : 0.00087 ∠camera B : 0.00098∠camera C : 0.0011∠camera A : 0.0012

Step-by-step explanation:

if you rewrite in standard notation

camera A : 0.0012

camera B : 0.00098

camera C : 0.0011

camera D : 0.00087

The answer to this is A