Mindy bought 4 similar chairs at $384. Rena bought 9 such chairs from the same shop. How much did Rena pay for 9 chairs?

When designing a questionnaire, overcoming measurement errors can be reduced by various strategies. However, one of the options listed does not contribute to reducing measurement errors. The option that does not help in reducing measurement errors is: c. The use of many answer scale categories.

Measurement errors in questionnaires can arise due to various factors, such as respondent bias, response inconsistency, and ambiguous or confusing question wording. To minimize these errors, researchers employ different techniques. Let's examine the options:

a. The use of a linear rating scale with only the extreme categories labeled: This technique helps by simplifying the rating scale and providing clear reference points, which can enhance response accuracy.

b. Positioning difficult and important questions at the beginning and end of the questionnaire: This strategy is known as primacy and recency effects. Placing challenging and significant questions at the start and end can improve response quality as respondents are more focused and attentive during those sections.

c. The use of many answer scale categories: This option, contrary to the others, does not help in reducing measurement errors. Having numerous answer scale categories can increase respondent confusion, lead to midpoint bias, and result in inconsistent or inaccurate responses.

d. Positioning easy and straightforward questions in the questionnaire: This technique aims to create a smooth flow and encourage respondents to answer confidently. By placing easier questions strategically, respondents may feel more comfortable and provide accurate responses.

In summary, all the provided options contribute to reducing measurement errors except for option c, the use of many answer scale categories.

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The expression for the number of boy cousins will be f – 4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Marcella has 4 fewer male cousins than female cousins.

Let f represent the number of female cousins.

Then the expression for the number of boy cousins will be

⇒ f – 4

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Answer:

\(10+1.2x\)

Step-by-step explanation:

To simplify, we first distribute -2.5 into the parenthesis:

\(-2.5(-4+x)+3.7x\\-2.5(-4)-2.5(x)+3.7x\\10-2.5x+3.7x\\\)

Then we combine like terms:

\(10-2.5x+3.7x\\10+1.2x\)

The probability that the sample mean will be less than 200 pounds is approximately 0.9015 or 90.15%.

Step-by-step explanation:

To solve this problem, we can use the central limit theorem, which states that the sampling distribution of the mean of a large sample (n >= 30) will be approximately normal, regardless of the distribution of the population.

We are given that the population mean is 196 pounds and the standard deviation is 22 pounds. The sample size is 50, which is large enough to apply the central limit theorem.

To find the probability that the mean of the sample will be less than 200 pounds, we need to standardize the sample mean using the formula:

z = (x - mu) / (sigma / sqrt(n))

where x is the sample mean, mu is the population mean, sigma is the population standard deviation, and n is the sample size.

Plugging in the values we get:

z = (200 - 196) / (22 / sqrt(50)) = 1.59

Now we need to find the probability that a standard normal variable is less than 1.59. We can use a standard normal table or calculator to find this probability, which is approximately 0.944.

Therefore, the probability that the mean of the sample will be less than 200 pounds is 0.944 or 94.4% (rounded to one decimal place).

So, we can say that there is a 94.4% chance that the mean weight of 50 randomly selected individuals will be less than 200 pounds.

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The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms only x is the variable.

The meaning of such an equations in algebra is just a mathematical expression stating the equality between two mathematical terms. For instance, 6x + 5 = 11 is an equation where 6x + 5 and 11 are two expressions separated by the 'equal' sign.

Identity equations and conditional equations are the two types of equations. For just any value of both the variables, an equality remains true. Only such variables have values that make a condition expression true. Two expressions joined by an equals sign ("=") form an equation.

The variable in 2x + 3 = 7 is x because rest 2, 3 and 7 are constant terms.

if we solve the above equation, we get

2x + 3 = 7

or, 2x = 7 - 3

or, 2x = 4

or, x = 2

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Answer:

3.49285 for part 1

Step-by-step explanation:

The derivative of the given function f(x) = (2x+2)/ (x²+2) is given by:f'(x) = [-2x³+2x²-2x+2] / (x²+2).

The given function is:f(x) = (2x+2)/ (x²+2)

The definition of derivative of a function, f(x) is given by;f'(x) = lim Δx → 0 [f(x + Δx) - f(x)] / Δx

To find the derivative of the function f(x) = (2x+2)/ (x²+2), we have to use the definition of derivative, and substitute the given function in the above equation.

So, we get,f'(x) = lim Δx → 0 [(2(x+Δx)+2)/(x+Δx)²+2 - (2x+2)/(x²+2)] / Δxf'(x) = lim Δx → 0 [2x+2Δx+2-x²-2 - (2x+2)(x+Δx)²+2] / Δx(x+Δx)²+2

Now, substitute the value of Δx and simplify:f'(x) = lim Δx → 0 [2x+2Δx+2-x²-2 - (2x+2)(x²+2+2Δx+Δx²)+2] / Δx(x²+2+2Δx+Δx²+2)f'(x) = lim Δx → 0 [2x+2Δx+2-x²-2 - 2x³-4x-2xΔx-2Δx³-2Δx²-2] / Δx(x²+2+2Δx+Δx²+2)f'(x) = lim Δx → 0 [-2x³+2x²-2x+2Δx+2Δx³+2Δx²+2] / Δx(x²+2+2Δx+Δx²+2)

Now, substitute Δx = 0, we get; f'(x) = [-2x³+2x²-2x+2(0)+2(0)²+2(0)²+2] / (x²+2)f'(x) = [-2x³+2x²-2x+2] / (x²+2)

Hence, the derivative of the given function f(x) = (2x+2)/ (x²+2) is given by:f'(x) = [-2x³+2x²-2x+2] / (x²+2).

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Solve for the unit price of 11.5-ounce package.

Divide the cost by the number of ounce of the package.

$4.24 ÷ 11.5 oz = $0.3690 per ounce

Rounding off to the nearest cent → $0.37 per ounce.

Solve for the unit price of 27.8-ounce package

Do the same as above with its corresponding cost.

$9.98 ÷ 27.8 oz = 0.359 per ounce

Rounding off to the nearest cent → $0.36 per ounce.

Comparing the two, the 27.8-ounce package is much cheaper per ounce than with the 11.5-ounce package, thus the 27.8-ounce package is a better buy.

the polar equation of the form r = f(t) for the curve represented by the Cartesian equation x = 3.sec(t)

To find a polar equation for the given Cartesian equation x = 3, we need to convert it into polar form. We know that x = rcos(t) and substituting x = 3, we get 3 = rcos(t). Solving for r, we get r = 3/cos(t) which simplifies to r = 3sec(t). The polar coordinate system uses an angle t (or theta) and a distance r to describe a point in the plane. To convert a Cartesian equation to polar form, we need to express x and y in terms of r and t. In this case, we are given x = 3. We know that x = rcos(t), so we substitute x = 3 into this equation and get 3 = rcos(t). Solving for r, we get r = 3/cos(t). This can be simplified to r = 3sec(t), which is our polar equation of the form r = f(t).

In this equation, sec(t) is the reciprocal of cos(t), which means that the value of r will get larger as cos(t) gets smaller (i.e. as t approaches 90 degrees or pi/2 radians). This makes sense since the Cartesian equation x = 3 represents a vertical line passing through the point (3,0) on the x-axis. As we move up the line (in the positive y direction), the distance from the origin increases and the angle t approaches 90 degrees. Therefore, the value of r should get larger as t approaches 90 degrees, which is exactly what our polar equation shows.

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Answer:

21

Step-by-step explanation:

Add 5 and 10 together then muliply 15 and 21 to get 315

I'm not going to lie, I am little confused as it does show how much he sold the shirts for, but maybe they're just trying to find 325/15?

If so your answer is ~22

Answer:

k = -12

Step-by-step explanation:

5/6 k = -10

6 x 5/6 = 6 (-10)

5 k = -60

5k/5 = -60/5

k = -12

Answer:

k = -12

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

5/6k = -10

Step 2: Solve for k

Step 3: Check

Plug in k to verify it's a solution.

Answer:

5x + 4

Step-by-step explanation:

Base on the given:

\(\mathrm{\frac{9}{3}x+4+2x}\)    → Divide 9 by 3. 9 ÷ 3 = 3

\(\mathrm{3x+4+2x}\)    → Combine similar term {2x + 3x = 5x}

No farther can be simplify. Hence, 5x + 4 is the answer.

RevyBreeze

We will investigate the process of division and express a fraction in its simplest form.

We are given the following operation of division to be performed:

We can express the above operation in a form of a fraction as follows:

Whenever we are looking at the simplification process we try to determine the divisibility of both numerator an denominator with a common integer.

We see that both numerator and denominator are divisible by integer ( 3 ). Hence, we can go ahead and write down the divisibility of both numerator and denominator by 3 in the fraction form:

We see that both numerator and denominator are divisible by integer ( 11 ). Hence, we can go ahead and write down the divisibility of both numerator and denominator by 11 in the fraction form:

Next we see that we can further perform the divisibility operation by dividing both numerator and denominator by ( 4 ) and express in fraction in its simplest form:

The above result is expressed in its most simplest form. This means the numerator and denominator can not be further divided or divisible by any common integer other than ( 1 ). Hence, we have arrived at the simplest answer to the division operation:

Yes, it is possible for a plot of a partial expansion of f[x] to share ink with the plot of f[x] all the way from -[infinity] to + [infinity].

Explanation:

We can approximate f(x) as a Fourier series, as follows:

\($$f(x) = \sum_{n=0}^{\infty}a_n\cos\left(\frac{n\pi x}{L}\right)+\sum_{n=1}^{\infty}b_n\sin\left(\frac{n\pi x}{L}\right)$$\)

If f(x) is an odd function, the cosine terms are gone, and if f(x) is an even function, the sine terms are gone.

We can create an approximation for f(x) using only the first n terms of the Fourier series, as follows:

\($$f_n(x) = a_0 + \sum_{n=1}^{n}\left[a_n\cos\left(\frac{n\pi x}{L}\right)+b_n\sin\left(\frac{n\pi x}{L}\right)\right]$$\)

For any continuous function f(x), the Fourier series converges uniformly to f(x) on any finite interval, as given by the Weierstrass approximation theorem.

However, if f(x) is discontinuous, the Fourier series approximation does not converge uniformly.

Instead, it converges in the mean sense or the L2 sense. The L2 norm is defined as follows:

\($$\|f\|^2 = \int_{-L}^{L} |f(x)|^2 dx$$\)

Hence, it is possible for a plot of a partial expansion of f(x) to share ink with the plot of f(x) all the way from -[infinity] to + [infinity].

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To find (f+g)(x), we first need to add the functions f(x) and g(x) together.
f(x) = 3x - 2
g(x) = x^2 + 5x

(f+g)(x) = f(x) + g(x)
= (3x - 2) + (x^2 + 5x)
= x^2 + 8x - 2
Therefore, the answer to (f+g)(x) is x^2 + 8x - 2. This function represents the sum of f(x) and g(x) evaluated at x.
I hope this helps!

To find (f+g)(x), you need to add the functions f(x) and g(x) together. Without knowing the specific functions, I cannot provide a complete solution. However, the general process is as follows:
1. Identify the functions f(x) and g(x).
2. Add the functions together: (f+g)(x) = f(x) + g(x).
3. Simplify the expression if possible.
If you can provide the specific functions f(x) and g(x), I'd be happy to help you further in finding (f+g)(x).

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Answer:

$18.67

Step-by-step explanation:

First, convert the percentage to a decimal.

1.45% = 0.0145

Then, multiply the gross pay by the decimal.

$1287.50 × 0.0145 = $18.67

The Social Security Tax will be $18.67.

The final model makes logical sense (i.e., the significant predictors are related to the number of points scored per game), then it can be considered a good model for predicting the number of points scored per game by football teams using the National Football League data.

To use the p-value criterion to find the best model for predicting the number of points scored per game by football teams using the data in the Excel file National Football League, follow these steps:
1. Import the data into a statistical software, such as Excel, R, or Python, which will allow you to perform regression analysis.
2. Identify the variables you think may be related to the number of points scored per game (e.g., team's offensive strength, defensive strength, past performance, etc.).
3. Perform a multiple regression analysis using the identified variables as predictors, with the number of points scored per game as the dependent variable.
4. Check the p-values associated with each predictor in the regression output. A lower p-value (typically less than 0.05) indicates that the predictor is statistically significant in predicting the number of points scored per game.
5. Remove any predictors with high p-values (greater than or equal to 0.05), as these predictors do not contribute significantly to the model.
6. Re-run the multiple regression analysis with the remaining significant predictors.
7. Repeat steps 4-6 until all predictors in the model have a p-value less than 0.05.
8. Assess the overall model fit and the adjusted R-squared value. A higher adjusted R-squared value indicates a better model fit.

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For a normal distribution, the skewness and kurtosis measures are as follows: Option B. 0 and 3.

Skewness is a measure of the asymmetry of a probability distribution. Skewness is a measure of the degree of asymmetry in the probability distribution of a random variable around its mean.

When the skewness is 0, the normal distribution is symmetrical.

Kurtosis is a measure of the degree of peakiness, or flatness, of a probability distribution.

For a normal distribution, kurtosis equals 3. In comparison to the normal distribution, distributions with kurtosis greater than 3 have a more pointed peak and longer tails, while distributions with kurtosis less than 3 have a less pointed peak and shorter tails.

Therefore, for a normal distribution, the skewness and kurtosis measures are 0 and 3, respectively. Hence, the correct option is B. 0 and 3.

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Third choice, option C

x = 5/2

To solve for the value of x if 9^(x-1) - 2 = 25, we can substitute each of the options into a simplified equation.

We could substitute each option into the given equation, but then we would have to simplify it four more times. It's easier to simplify once first.

\(9^{x-1} -2=25\)                   Start with the given equation

\(9^{x-1} -2+2=25+2\)       Add 2 to both sides

\(9^{x-1} =25+2\)                   –2 + 2 on the left side cancels out

\(9^{x-1} =27\)                         Add on the right side

We found a simplified equation.

Now, let's substitute each option choice for 'x' in the simplified equation. We only have to substitute choices until we find the choice that makes the left and right sides of the equation equal, but let's try all of the choices today.

\(9^{x-1} =27\)             Start with the simplified equation

\(\displaystyle{9^{\frac{1}{2}-1} =27}\)             Substitute x = 1/2

\(\displaystyle{9^{\frac{1}{2}-\frac{2}{2}} =27}\)            Find a common denominator within the exponent

\(\displaystyle{9^{\frac{1-2}{2}} =27}\)             Combine numerators and subtract

\(\displaystyle{9^{-\frac{1}{2}} =27}\)  

\(\displaystyle{(3^{2})^{-\frac{1}{2}} =27}\)          Convert 9 into a base and exponent

\(\displaystyle{ 3^{ 2*-\frac{1}{2} } =27 }\)           Multiply exponents

\(\displaystyle{ 3^{ -\frac{2*1}{2} } =27 }\)            Combine into numerator

\(\displaystyle{ 3^{ -\frac{2}{2} } =27 }\)              Simplify the fraction

\(\displaystyle{ 3^{ -1 } =27 }\)               Use negative exponent rule to simplify

\(\displaystyle{ \frac{1}{3^{1}} =27 }\)                 Simplify the denominator

\(\displaystyle{ \frac{1}{3} \neq 27 }\)                   Left and right sides are not equal

So, x is not equal to 1/2.

\(9^{x-1} =27\)              Start with the simplified equation

\(9^{2-1} =27\)             Substitute x = 2

\(9^{1} =27\)                 Subtract within the exponent

\(9 \neq 27\)                   Left and right sides are not equal

So, x is not equal to 2.

\(9^{x-1} =27\)             Start with the simplified equation

\(\displaystyle{9^{\frac{5}{2}-1} =27}\)            Substitute x = 5/2

\(\displaystyle{9^{\frac{5}{2}-\frac{2}{2}} =27}\)            Find a common denominator within the exponent

\(\displaystyle{9^{\frac{5-2}{2}} =27}\)             Combine numerators and subtract

\(\displaystyle{9^{\frac{3}{2}} =27}\)                Use fractional exponent rule to simplify

\(\displaystyle{\sqrt[2]{9^{3}} =27}\)              

\(\displaystyle{\sqrt{9^{3}} =27}\)  

\(\displaystyle{\sqrt{9 * 9 * 9} =27}\)     Solve the exponent by multiplying bases

\(\displaystyle{\sqrt{729} =27}\)            Solve the root

\(\displaystyle{27 =27}\)                 Left and right sides are equal

So, x is equal to 5/2.

\(9^{x-1} =27\)             Start with the simplified equation

\(9^{4-1} =27\)             Substitute x = 4

\(9^{3} =27\)                 Subtract within the exponent

\(9*9*9 =27\)        Solve the exponent by multiplying bases

\(729 \neq 27\)               Left and right sides are not equal

So, x is not equal to 4.

∴ in \(9^{x-1} -2=25\), x is equal to \(\displatestyle{\frac{5}{2}}\), making option C correct.

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The correct answer is A is "The test does not provide convincing evidence that the pass rate is greater than 0.7, but the actual pass rate is 0.8." Option A is correct because it describes a Type II error. A Type II error occurs when the null hypothesis is not rejected when it is actually false.

A Type II error occurs when the null hypothesis is not rejected even though it is false. In this case, the null hypothesis is that the pass rate for the new program is 0.7. A Type II error would occur if the test does not provide convincing evidence that the pass rate is greater than 0.7, but the actual pass rate is greater than 0.7.  but in reality, the pass rate is indeed greater than 0.7. In other words, the new program is effective in increasing the pass rate, but the test fails to detect this effect. Therefore, the answer is A. The test does not provide convincing evidence that the pass rate is greater than 0.7, but the actual pass rate is 0.8.

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Complete question :

Colleen is searching online for airline to tickets. Two weeks ago, the cost to fly from denver to Boston was $250. Now the cost is $340. What is the percent increase? What would be the percent increase if the airline charges an additional $50 baggage fee with the new ticket price

Answer:

36% ; 56%

Step-by-step explanation:

Given that :

Previous cost = $250

Present cost = $340

Percentage increase :

(Change in cost / previous cost) * 100%

((340 - 250) / 250) * 100%

(90 / 250) * 100%

0.36 * 100%

= 36%

If $50 baggage fee is charged with new ticket price :

Total change in price = ($90 + $50) = $140

(140 / 250) * 100%

0.56 * 100%

= 56%

The area of the acute triangle can be found by the formula: area of acute triangle = (1/2) × b × h.

According to Pythagoras theorem the triangle is termed as acutely angled if the square of its longest side is less than the sum of the squares of two other smaller sides. Let a, b, and c are the length of sides of a triangle, where side "a" is the longest, then the given triangle is acutely angled if and only if a^2 < b^2 + c^2.

The area of the acute triangle can be calculated by the formula:

         area of acute triangle = (1/2) × b × h

         b = base, and

         h = height

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Polynomials are closed under the operation of addition, subtraction, and multiplication only. Here's why:

1. Addition: (Closed)

Reason: Say we have two polynomials: (x⁴ + 2x³ - 4) and (3x³ - 2x² + 6x). If we add these two polynomials, (x⁴ + 2x³ - 4) + (3x³ - 2x² + 6x), it will result to x⁴ + 5x³ - 2x² + 6x - 4 which is also a polynomial.

When adding polynomials, the variables and the exponents don't change. This guarantees that the sum of these variables with exponents will always be a polynomial.

2. Subtraction: (Closed)

Reason: Say we have two polynomials: (x⁴ + 2x³ - 4) and (3x³ - 2x² + 6x). If we subtract these two polynomials, (x⁴ + 2x³ - 4) - (3x³ - 2x² + 6x), it will result to x⁴ - x³ + 2x² - 6x - 4 which is also a polynomial.

When subtracting polynomials, the variables, and the exponents don't change. This guarantees that the difference of these variables with exponents will always be a polynomial.

3. Multiplication: (Closed)

Reason: Say we have two polynomials (x + 2) and (x - 4). If we multiply these two polynomials, (x + 2)(x - 4), it will result in x² - 2x - 8, which is also a polynomial.

When multiplying polynomials, the variables do not change but the exponents will be added to each other. In this case, we can guarantee that the new exponents will be positive whole numbers still and this guarantees that the answer will be a polynomial.

4. Division: (Not closed)

Reason: When dividing polynomials, exponents are being subtracted from each other, therefore, we might have a result of a negative exponent. Negative exponents are not allowed in a polynomial. Example, say we have two polynomials (x²) and (x⁴), if we divide (x²) by (x⁴), the resulting value would be:

The resulting value is x to the power of negative 2, and is not a polynomial.

Answer:

I hope this helps please name me brainliest

Step-by-step explanation:

The IRA (individual retirement account) of a 22-year-old college student, who deposits $55 into the account each month, will have a total balance at retirement. To calculate this, we need to consider the time period, the monthly deposit, and the annual percentage rate (APR).

The student plans on retiring at age 65, which means the IRA will have 65 - 22 = 43 years to grow. Since the student deposits $55 each month, we can calculate the total number of deposits over the 43-year period: 43 years * 12 months/year = 516 deposits.

To calculate the total balance at retirement, we need to consider the growth of the account due to the APR. The annual growth rate is 6%, which can be expressed as 0.06 in decimal form. To calculate the monthly growth rate, we divide the annual growth rate by 12: 0.06/12 = 0.005.

Using the formula for the future value of an ordinary annuity, we can calculate the total balance at retirement:
FV = PMT * [(1 + r)^n - 1] / r

Where:
FV = future value (total balance at retirement)
PMT = monthly deposit ($55)
r = monthly interest rate (0.005)
n = number of deposits (516)

Plugging in these values into the formula:
FV = 55 * [(1 + 0.005)^516 - 1] / 0.005

Calculating this equation, the IRA will contain $287,740.73 at retirement.

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Answer:

5.5

Step-by-step explanation:

180/3 =60 (60/1 hr)

330/60 =5.5

Answer: 4y (4y^2-2y-5)

Step-by-step explanation:

Answer:

x=5+√136or x=5−√136

Step-by-step explanation:

To solve this equation we have to factorize 3x2−5x+1. Since we can not use any