A magazine provided results from a poll of 15001500 adults who were asked to identify their favorite pie. Among the 15001500 respondents, 1414% chose chocolate pie and the margin of error was given as plus or minus ±3±3 percentage points.
a. What values do ^p^, ^q^, n, E, and p represent?
b. If the confidence level is 9999%, what is the value of α?

The values are;

1.Volume = 70 cm³

Area = 379. 7 cm²

2.  Volume = 1017. 36 cm³

Area = 565. 2 cm²

3.  Volume = 864 cm³

Area  = 93. 24cm²

4. Volume = 1200cm³

Area = 12√3cm²

We have that the volume of a triangular prism is expressed as;

1.

Volume = Base × height

Substitute the values, we have;

Volume = 14 ×5

Volume = 70 cm³

Area = bh + (s₁+ s₂+ s₃)l

Substitute the values as shown, we have;

Area = 14 ×12.12 + (14 + 14 + 14) 5

Multiply the values, we have;

Area = 169. 68 + 210

Area = 379. 7 cm²

2. Volume of the cylinder = πr²h = 3.14 × 6²×9

Volume = 1017. 36 cm³

Area of the cylinder = 2πrh + 2πr²

Area = 339. 12 + 226. 08

Area = 565. 2 cm²

3. Volume =3abh = 3× 8 ×6 × 6

Volume = 864 cm³

Area = 3√3/2a² = 2. 59 × 36 = 93. 24cm²

4. Volume = lwh = 10 × 10 × 12 = 1200cm³

Area = pq/2 = 12 ×2√3/2 = 12√3cm²

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9514 1404 393

Answer:

  Compounded continuously, $5,02

Step-by-step explanation:

Compounded quarterly, the amount in the account will be ...

  A = 6500(1 +.0325/4)^(4·5) ≈ 7641.89

Compounded continuously, the amount in the account will be ...

  A = 6500e^(.0325·5) = 7646.91

So, the account compounding continuously has the higher yield, by the amount of ...

  $7646.91 -7641.89 = $5.02

Answer:

294

Step-by-step explanation:

Difference means subtraction, so you just subtract 533 from 827.

827-533=294

hope this helps! : )

The person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.

To find the distance and direction the person needs to walk to head directly home, we can use the Pythagorean theorem and some trigonometry.
1. First, break the southwest walk into west and south components. Since it's a 3-mile walk at a 45-degree angle, the west and south components are equal: 3 * cos(45°) = 3 * 0.7071 ≈ 2.121 miles for both west and south components.

2. Calculate the total west and south distances. The total west distance is the sum of the initial westward walk and the west component of the southwest walk: 4 miles + 2.121 miles ≈ 6.121 miles. The total south distance is just the south component of the southwest walk: 2.121 miles.

3. Use the Pythagorean theorem to find the straight-line distance back home: √((6.121 miles)^2 + (2.121 miles)^2) ≈ 6.478 miles, which is the correct distance.

4. Determine the angle between the eastward direction and the straight-line path back home. Use the inverse tangent function: angle = atan(south distance / west distance) = atan(2.121 miles / 6.121 miles) ≈ 19.11° north of east, which is the correct direction.

So, the person needs to walk about 6.478 miles in a direction of approximately 19.11° north of east to head directly home.

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Answer:

its 30! :D heheh

The largest positive integer $n$ for which the given equation holds true for all real numbers $a_1, a_2, \dots, a_{n-1}$ (where $a_{n-1} \neq 0$) is $n = 3$.

We are given the equation $a_{n-1}x^2 - 2x\sqrt{a_1^2a_2^2\dots a_{n-1}^2}(a_1a_2\dots a_{n-1}) = 0$, and we want to determine the largest $n$ for which this equation holds true for any choice of $a_1, a_2, \dots, a_{n-1}$.

If we simplify the equation, we can rewrite it as $x^2 - 2x\left|a_1a_2\dots a_{n-1}\right| = 0$. From this equation, we can observe for any non-zero value of $a_1a_2\dots a_{n-1}$, the equation will always hold true, regardless of the value of $x$. However, when $a_1a_2\dots a_{n-1} = 0$, the equation becomes $x^2 = 0$, which implies that $x = 0$.

Therefore, for $n > 3$, we can find values of $a_1, a_2, \dots, a_{n-1}$ for which the equation does not hold true, making $n = 3$ the largest positive integer for which the equation holds true for all $a_1, a_2, \dots, a_{n-1}$.

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Answer:

y = 4 x = 12

Step-by-step explanation:

The blue square I started on my own and ended with a calculator

Answer:

Step-by-step explanation:

i have this question rn please i need help by any chance if u got the answers

Step-by-step explanation:

Let Sandra’s current age be x.

Paulo’s current age will be x - 18 (as Sandra is 18 years older than Paulo).

According to the second statement, in 13 years:

Sandra's age = x + 13and Paulo's age = (x - 18) + 13 or x - 5

We can represent the second statement mathematically as:Sandra's age + 13 = 2(Paulo's age + 13)Substituting the values we got earlier,

we get:  x + 13 = 2(x - 5 + 13)x + 13 = 2x + 16

Simplifying further,

we get:  x - 2x = 16 - 13x = 3

Therefore, Sandra’s current age is x = 3 + 18 = 21 years old.

Answer: Sandra is 21 years old now.

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Using the given proportions, it is found that the percentage of the people surveyed own fish is given by:

A. 12%.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. When a proportion is multiplied by 100%, we get a percentage.

From the table, it is found that the proportion of people who own a fish is of 0.04 + 0.08 = 0.12. Hence the percentage is of 12%, and option A is correct.

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Answer:

6/n = n/18

n^2 = 108

n = sqrt 108

a^2 + b^2 = c^2

36 + 108 = m^2

144 = m^2

m=12

Let me know if this helps!

Answer: 9

Step-by-step explanation: 9 x 9 = 81

Answer:

9

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Approximately 304,657,600 Americans were there in July 2009 based on the estimated 2008 growth rate of 0.88%.

To find the approximate US population in July 2009, we need to apply the growth rate of 0.88% to the initial population in July 2008.

Convert the growth rate from percentage to decimal:

0.88% = 0.0088
Calculate the number of people added to the population in 2008: 302,000,000 * 0.0088 = 2,657,600
Add this number to the initial population to find the population in July 2009:

302,000,000 + 2,657,600 = 304,657,600.

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The measure of arc length AB in the circle is approximately 4.2 units.

Given the diagram in the question:

First, we determine the value of x:

Note that: the sum of angles on a straight line equals 180 degrees.

Hence:

3x + ( 2x + 5 ) + ( 5x + 15 ) = 180

Collect and add like terms:

3x + 2x + 5x + 5 + 15 = 180

10x + 20 = 180

10x = 180 - 20

10x = 160

x = 160/10

x = 16

Now, angle AKB = 3x

Plug in x = 16

AKB = 3( 16 ) = 48 degrees.

The arc length formula is expressed as:

Arc length = θ/360 × 2πr

Plug in: θ = 48° and radius r = 5

Arc length = 48/360 × 2 × π × 5

Arc length = 4.2 units

Therefore, the arc length measures 4.2 units.

Option A) 4.2 is the correct answer.

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Answer:

8.9 grams per centimeters cubed

Step-by-step explanation:

The formula for density is D=M÷V

Just divide 222.50 by 25.00 and you are done.

Answer: Analogy

Step-by-step explanation: (Sorry if it is not right) :(

Answer:

Step-by-step explanation:

The part of speech

Assuming timmy completes all chores, the number of dollars timmy will have 7 weeks after his birthday is 85 dollars.

In mathematics, an equation is a claim that two expressions are equivalent. It is a mathematical expression that employs the equals symbol, "=", to indicate that two quantities have values that are equal. Problems in algebra, geometry, calculus, and other branches of mathematics are frequently solved using equations. In algebra, equations are frequently used to depict the connection between variables and constants, as well as to discover the value of an unknown variable. For example, the equation x + 2 = 5 may be utilised to get the value of x, which is 3. Equations can be linear, quadratic, or higher-degree, and they can involve multiple variables.

How to solve?

Let x be the number of weeks after Timmy's birthday.

The total number of dollars Timmy will have after x weeks is 50 + 5x.

Therefore, Timmy will have 50 + 5(7) =85 dollars after 7 weeks

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Step-by-step explanation:

Here's the answer...¥__+[

Hope it helps...$$

Answer: C - If the null hypothesis is true, the probability of observing a test statistic pf 1.592 or greater is 0.059

Step-by-step explanation:

The correct interpretation of the p-value is option C. If the null hypothesis is true, the probability of observing a test statistic of 1.592 or greater is 0.059.

In hypothesis testing, the p-value helps us determine the likelihood of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. In this case, the null hypothesis (H₀) states that B1 = 0, meaning there is no relationship between the number of times a song is listened to and recording sales. The alternative hypothesis (H₁) states that B1 > 0, suggesting a positive linear relationship between the variables. Since the test is one-tailed and we are testing for a positive relationship, we are looking for a test statistic of 1.592 or greater.

Based on the given p-value of 0.059, we can conclude that if the null hypothesis is true, there is a 5.9% chance of observing a test statistic of 1.592 or greater. This helps us to assess the strength of the evidence against the null hypothesis and make a decision whether to reject or fail to reject it based on a chosen significance level.

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Answer:

13 feet tall

Step-by-step explanation:

Poster = 16 feet

width of poster = to 3 feet

16 - 3 = 13

Poster Height : 13 feet

Answer:

13 feet

Step-by-step explanation:

16 is the length and width combined, so you just subtract the width (3) from 16 to get the length (13)

Answer: 6

Step-by-step explanation:

This is simple

Answer:

32768

explanation:

You can just use a calculator and get the answer, it isn't that hard.

Answer:

y = 2x+4

Step-by-step explanation:

The y intercept is 4

We can find the slope

m = ( y2-y1)/(x2-x1)

   = (4-10)/(0-3)

   = -6/-3

   = 2

The slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = 2x+4

The answers are as follows:

1. Is salesperson creativity always a good thing?

Please explain.

Creativity is a great quality to possess, but it is not a necessity when it comes to sales.

The most significant factor is to focus on the customer's needs and provide solutions to their problems. Creativity can help the salesperson in achieving the target and gaining new customers.

However, it may also lead to the introduction of new and innovative products that can lead to a loss instead of profit.

Therefore, creativity should not be the only factor for sales success.

2. Can you train salespeople to be creative? Please explain. If you answered yes, how? If you answered no, why not?

Creativity is an essential skill, but not everyone possesses it naturally. However, it is possible to train salespeople to be more creative.

One way to do this is to provide them with new and unique training programs. It will help in nurturing their creativity and encouraging them to think outside the box.

Another way is to provide them with real-life case studies and give them time to brainstorm. This will help in enhancing their critical thinking and problem-solving abilities.

Yes, it is possible to train salespeople to be creative.

3. How have you acted creatively in solving a customer issue? (this is a GREAT one to have ready for an interview!)

In my previous job, I once had a customer who had a unique issue. The customer was unhappy with the color of the product, and no other product was available in that particular color. The customer wanted to return the product, but that was not possible as per the company's policy.

Therefore, I suggested that we paint the product in the desired color. This solution was approved by the company, and the customer was delighted with the outcome.

It was a creative solution that helped in retaining the customer and creating brand loyalty.

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Answer:

the first one

Step-by-step explanation:

hope i helped

Answer:

a

Step-by-step explanation:

pls give brianleist

We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1, where I is the 2x2 identity matrix

Let A be the given 2x2 matrix A = [1 2 ; 1 1]. To find a 3x2 matrix B such that AB = I, where I is the 2x2 identity matrix, we can use the hint provided: If B1 and B2 are the columns of B, then ABj = Ij. This means that for each column j of B, we need to solve the equation ABj = Ij. For j = 1, we have AB1 = I1 = [1 0]. We can solve this equation by setting B1 = [a b], so that AB1 = [a+b 1] = [1 0]. This gives us the system of equations a + b = 1 and a = 0. Solving this system, we have a = 0 and b = 1, so B1 = [0 1].For j = 2, we have AB2 = I2 = [0 1]. We can solve this equation by setting B2 = [c d], so that AB2 = [c+d 1] = [0 1]. This gives us the system of equations c + d = 0 and c = 1. Solving this system, we have c = 1.

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The value of x₀ is approximately equal to 24.113.

The formula for the standard normal distribution is given by

=> z = (x - μ) / σ  [ where x is the random variable, μ is the mean, and σ is the standard deviation ]

It also involves using the standard normal distribution table or calculator to find the probability of a value being greater than a given z-score, and solving for the original random variable using the standardized value.

Here we have

Suppose x is a normal distribution random variable with mean 20 and standard deviation 2.5.

We can use the standard normal distribution to solve this problem.

First, we standardize the random variable x by subtracting the mean and dividing by the standard deviation:

=> z = (x - μ) / σ = (x - 20) / 2.5

Now we want to find the value x₀ such that P(x > x₀), which is equivalent to finding the value z such that P(z > (x₀ - 20) / 2.5).

Using a standard normal distribution table or calculator, we can find that the probability of z being greater than 1.645 is approximately 0.05.

So we have:

P(z > 1.645) = P((x - 20) / 2.5 > 1.645)

Simplifying and solving for x₀, we get:

=> (x - 20) / 2.5 > 1.645

=> x - 20 > 4.113

=> x > 24.113

Therefore,

The value of x₀ is approximately equal to 24.113.

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Jared bought 7 cans of paint. Let the number of red paint cans that Jared bought be x. The number of black paint cans he bought would be 7 - x. A can of red paint costs $3.75 and a can of black paint costs $2.75.

He spent $22 in all. Therefore we can write:3.75x + 2.75(7 - x) = 22 Multiplying out the second term and collecting like terms gives:0.5x + 19.25 = 22Subtracting 19.25 from both sides:0.5x = 2.75Dividing by 0.5:x = 5.5Since Jared can't buy half a can of paint, we should round the answer to the nearest integer. Hence, he bought 5 cans of red paint and 2 cans of black paint. The total cost of the 5 cans of red paint would be 5 x $3.75 = $18.75.The total cost of the 2 cans of black paint would be 2 x $2.75 = $5.50.The total cost of all 7 cans of paint would be $18.75 + $5.50 = $24.25.We spent more than Jared's budget. The value of $24.25 exceeds Jared's budget of $22. Hence, there is a problem with this problem statement.

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