1/4+m≤1/2 slove this inequality

Answer:

21

Step-by-step explanation:

24 minus 3 is 21

Descriptive statistics are used to summarize data in a useful and informative manner.

This type of statistics provides meaningful information about the data set by organizing and presenting it in an easily understandable format. Descriptive statistics can be used to summarize the data in the form of tables, graphs, and charts. It can also be used to provide detailed information about the data set, such as the mean, median, mode, standard deviation, and range.

Descriptive statistics can also be used to make inferences about a population. This is done by comparing the data collected from a sample to the characteristics of the population. By understanding the characteristics of the population, researchers can make accurate predictions about the behavior of the population.

Descriptive statistics can also be used to determine if the data adequately represent the population. This involves analyzing the sample size, data accuracy, and the assumptions made about the population. If the data does not accurately represent the population, then researchers have to make changes to their data collection process or revise their assumptions about the population.

Finally, descriptive statistics can be used to gather or collect data. This involves designing surveys, experiments, and other data collection methods. By using descriptive statistics to collect data, researchers can ensure that the data is valid and reliable.

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Answer: 8/10

Step-by-step explanation: so you have to multiply 5 times x u till you get 10 so you’ll multiply it 2 times and since you multiplied the left 5 times two you have to multiply the 4 by 2 also to keep everything equal so the final answer is 8/10

Answer:

3 - ( -5)=

8

Step-by-step explanation:

To find the distance

3 - ( -5)=

3+5

8

Answer:

work is shown and pictured

The set of all linear combinations of the given set of vectors in R3 is a plane. This is because the given set of vectors contains two linearly independent vectors in R3.

A set of vectors is said to be linearly independent if no vector in the set can be expressed as a linear combination of the other vectors in the set. A set of vectors is said to be linearly dependent if one of the vectors in the set can be expressed as a linear combination of the other vectors in the set.

Since the given set of vectors is linearly independent, any vector in R3 can be expressed as a linear combination of the given set of vectors. In other words, the set of all linear combinations of the given set of vectors spans R3.

However, since the given set of vectors contains only two vectors, the set of all linear combinations is a plane that passes through the origin. Therefore, the set of all linear combinations of the given set of vectors is a plane.

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In this case, the margin of safety is 4297 units

The margin of safety in units can be calculated using the formula:

Margin of Safety = (Actual Sales - Break-even Sales) / Sales per Unit

First, we need to calculate the break-even sales.

This can be done using the formula:

Break-even Sales = Fixed Costs / (Sales Price per Unit - Variable Costs per Unit)

Break-even Sales = $9,975 / ($6.99 - $2.43) = $9,975 / $4.56 ≈ 2186.40 units

Now, we can calculate the margin of safety:

Margin of Safety = (6,482 units - 2186.40 units) / 6,482 units ≈ 0.6631 or 66.31%

However, the question asks for the margin of safety in units, so we multiply the percentage by the total number of units:

Margin of Safety (in units) = 6,482 units × 0.6631 ≈ 4297 units (rounded to the nearest whole unit)

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Answer:

80

Step-by-step explanation:

200/2.50=80

The statistic that the researcher would be most interested in for determining the average number of times per month respondents eat at fast food restaurants is the mean. The mean represents the average value of a set of data points and is commonly used to measure central tendency.

In this case, the researcher wants to know the average number of times per month respondents eat at fast food restaurants. By calculating the mean, the researcher can obtain a single value that represents the typical or average frequency of eating at fast food restaurants among the respondents. The standard deviation (A) is a measure of the dispersion or variability of the data points around the mean. The proportion (B) is a measure of the relative size or fraction of a subgroup within a larger group. The variance (D) is a measure of the average squared deviation from the mean. While these statistics can provide valuable information, they are not specifically suited to determine the average number of times per month respondents eat at fast food restaurants. Hence, the most relevant statistic in this scenario would be the mean (C).

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Based on the given statistical hypothesis testing, with a significance level of 0.05, the null hypothesis (p=0.5) is rejected in favor of the alternative hypothesis (p is not equal to 0.5) due to the calculated test statistic and p-value.

bar=x/n = 0.833, x = 10, n = 12, and p0 = 0.5

a. Because the author is testing a statistical hypothesis to see if accuracy has changed, the test has two sides.

H0: p = 0.5

H1: p is not the same as 0.5.

b. test statistic, z = (pbar-p0) / SE

z = (0.833-0.5) / 0.14434 = 2.31

standard error, SE = √(p0(1-p0)/n)

SE = √(0.5(1-0.5) / 12)

= 0.14434

c. P_value = 2*P(Z>|z|)

= 2 * P(Z> 2.31)

= 2*(1 - P(Z 2.31))

= 2*(1 - 0.9896)

= 0.0208 because it is a 2-tailed test.

d. alpha,a = 0.05 Since P_value is less than alpha, H0 should be rejected and accuracy should be changed.

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Yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate, you and your friends can ensure that your candidate for the board of directors wins, even with a minority of shares.

The bylaws of a corporation outline the rules and procedures governing its operations, including the election of directors. In some cases, the bylaws may allow shareholders to pool their votes and vote them all for a single candidate. This means that if you and your friends collectively own enough shares to secure a majority of the votes, you can consolidate your voting power and ensure the victory of your candidate.

By pooling your votes, you can leverage your collective shares to outweigh the votes of other shareholders and increase the chances of your preferred candidate winning. This strategy enables you to overcome the disadvantage of holding a minority of shares and still have a significant impact on the election outcome.

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The given equation is y = 4^(x2–2x+5).To find the tangent line to the curve at x = 4, differentiate the given function with respect to x and find the slope of the tangent at x = 4.

Given function is y = 4^(x2–2x+5). In order to find the equation of the tangent line to the curve at x = 4, we need to differentiate the given function with respect to x and find the slope of the tangent at x = 4. Then we use the point-slope form of the equation to find the equation of the tangent line.The process of finding the equation of the tangent line to the curve is by first differentiating the given function.

We differentiate the given function as follows:d/dx(y) = d/dx[4^(x2–2x+5)] => d/dx(y) = 4^(x2–2x+5) * d/dx[x2–2x+5]

=> d/dx(y) = 4^(x2–2x+5) * [2x - 2]When x = 4,d/dx(y) = 4^(42–2*4+5) * [2*4 - 2]

=> d/dx(y) = 4^(5) * [6]

=> d/dx(y) = 6 * 1024

The slope of the tangent at x = 4 is: m = 6 * 1024

The point is: (4, y)We substitute the values in the point-slope form of the equation of the line:y - y1 = m(x - x1)

=> y - y1 = m(x - 4)

=> y - y1 = 6 * 1024 (x - 4)

Where x1 = 4, y1 = 4^(42–2*4+5)

=> y1 = 4^(5)

=> y1 = 1024

Therefore, the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

Therefore, we can conclude that the equation of the tangent line to y = 4^(x2–2x+5) at x = 4 is y - 1024 = 6 * 1024 (x - 4).

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The required two numbers are 6 and 8.

Let us denote the required numbers by c and d.

Given that the difference between two natural numbers is 2.

If we assume d > c, then d – c = 2

⇒ d = 2 + c → equation 1.

Also given that the sum of their squares is 100.

⇒ c² + d² = 100

⇒ c² + (2 + c)² = 100 (using the value of d from equation 1)

⇒ 2c² + 4c + 4 = 100

⇒ 2c² + 4c = 96

⇒ 2c(c+2) = 96

⇒ c(c+2) = 48

Using the factorization for 48, we get 6 × 8 = 48

⇒ c = 6

⇒ c+2 = 8

⇒ d = 8

Therefore, the required two numbers are 6 and 8.

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Answer:

3 2/3 pint

Step-by-step explanation:

First break down the mixed number to divide (into 7 and 1/3)

7 divided by 2 is 3.5 (Convert 3.5 to sixths)

1/3 divided by two is 1/6

1/6 + 3 3/6= 3 4/6 OR 3 2/3

Hope this helps! :)

Displacement is the length of the straight line drawn from an object’s initial position to the object’s final position

The term "displacement" refers to a change in an object's position. It is a vector quantity with a magnitude and direction. The symbol for it is an arrow pointing from the initial position to the ending position. For instance, if an object shifts from position A to position B, its position changes.

If an object moves with respect to a reference frame, such as when a passenger moves to the back of an airplane or a professor moves to the right with respect to a whiteboard, the object's position changes. This change in location is described as displacement.

The displacement is the shortest distance between an object's initial and final positions. Displacement is a vector. It is visualized as an arrow that points from the initial position to the final position, indicating that it has both a direction and a magnitude.

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Answer:

w = -5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define

8 = 4w + 53 + 5w

Step 2: Solve for w

Step 3: Check

Plug in w into the original equation to verify it's a solution.

Here we see that 8 does indeed equal 8.

∴ w = -5 is the solution to the equation.

Answer:

$10.07

Step-by-step explanation:

Well you have to subtract 53.43 from 33.29 which equals 20.14 then you have to divide 20.14 by 2 and you get $10.07.

A histogram is a column chart that displays the frequency of occurrence on the vertical axis.

In a histogram, the horizontal axis represents the range or categories of data, and the vertical axis represents the frequency or count of data falling within each range or category. The height of each column in the histogram corresponds to the frequency or count of data in that particular range or category.

Histograms are commonly used to visualize the distribution of numerical data and provide insights into the shape, center, and spread of the data. They are particularly useful in identifying patterns, outliers, and understanding the overall distributional characteristics of a dataset.

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Answer:

B: p=1,000m

Step-by-step explanation:

Answer:

43 is correct answer

Step-by-step explanation:

\( {3}^{4} - (9 + 6) \times 5 + {4}^{0} \\ = {3}^{4} - 9 - 6 \times 5 + 1 \\ = {3}^{4} - 9 - 30 + 1 \\ = {3}^{4} - 39 + 1 \\ = {3}^{4} - 38 \\ = 81 - 38 \\ = 43\)

Note:

1. When ever anything ⁰ =1

Eg:4⁰ =1, 5⁰=1

2. Always follow bodmas rule

hope it helped you:)

Answer:

12 hours

Step-by-step explanation:

62 - 14 = 48

48/4 = 12

A jar has 6 marbles ( 2 black and 4 white ) . Randomly selecting two marbles, with replacement. The probability of Pr( first = black , second = white ) is 2/9.

To find the probability of drawing a black marble on the first draw and a white marble on the second draw:

Total number of marbles = 6 (Given)

No. of black marbles = 2 (Given)

No. of white marbles = 4 (Given)

Probability =  No. of favorable outcomes/ Total no. of possible outcome

The probability of drawing a black marble on the first draw is 2/6 or 1/3.

Marble is replaced after first draw, the probability of drawing a white marble in second draw is 4/6 or 2/3.

To find the probability of both events occurring (drawing a black marble first and a white marble second:

Pr(first = black, second = white)

= Pr(first = black) * Pr(second = white)

= (2/6) * (4/6)

= 8/36

= 2/9

Therefore, the probability of drawing a black marble on the first draw and a white marble on the second draw, with replacement will be 2/9.

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Function that calculates the base 10 log of the list num_val.

C Code:

#include <stdio.h>

int log_10(int a)

{

   return (a > 9)

           ? 1 + log_10(a / 10)

           : 0;

}

int main()

{

   int i;

   int num_val[10] = {15, 29, 76, 18, 23, 7, 39, 32, 40, 44};

   for(i=0; i<10; i++)

   {

       if(num_val[i]%2!=0)

       {

           printf("%d ", log_10(num_val[i]));

       }

   }

   return 0;

}

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Parallelograms have 2 pairs of congruent, parallel sides, and opposite angles that are congruent.

If side KL = 31, then its opposite side, side MN, must also be 31.

If angle N = 119 degrees, then its opposite angle, angle L must also be 119 degrees.

Angle L and Angle K are on the same side of the parallelogram, which means that they are supplementary angles (add up to 180).

119 + K = 180

Angle K = 61 degrees

Hope this helps!

Quality is a complex and multifaceted concept that can be difficult to define due to Subjectivity, Multi-dimensional and Context-dependent.

Subjectivity: Quality is subjective and can vary from person to person depending on their personal preferences, experiences, and expectations.

What may be considered as a high-quality product or service by one person may not be the same for another. This subjectivity makes it difficult to establish a universal definition of quality that applies to everyone.

Multi-dimensional: Quality is multi-dimensional, meaning that it involves multiple aspects such as performance, reliability, durability, safety, and aesthetics. These different dimensions of quality can be difficult to define and measure, as they often require different criteria and methods of evaluation.

Context-dependent: Quality is context-dependent and can vary depending on the specific situation, industry, or cultural norms. For example, the quality of healthcare services may be defined differently in different countries or cultures.

This context-dependency makes it challenging to create a single definition of quality that is applicable across different situations and contexts.

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Complete question is:

What are three reason why quality difficult to define.

Answer:

Angle 3 and Angle 4

Step-by-step explanation:

Congruent angles are equal to each other, these can't be congruent.

Using compound interest, it is found that it will take 62.91 years for the account to earn $7500.

Compound interest,

A(t) = P × \((1 + \frac{r}{n} )^{nt}\)

The amount of cash after t years is A(t).

The principal is P. (the initial sum of money).

The interest rate is r. (as a decimal value).

The number of times interest is compounded quarterly is n.

t is the number of years that the money will be invested or lent out for.

P = $2500

r = 1.75% = 0.0175

n = 4

A(t) = $7500

then enter the values as follows:

A(t) = P × \((1 + \frac{r}{n} )^{nt}\)

$7500 = $2500 × \((1 + \frac{0.0175}{4} )^{4t}\)

$7500 ÷ $2500 = \((1 + \frac{0.0175}{4} )^{4t}\)

$3 = \((1.004375)^{4t}\)

Log3 = 4t log(1.004375) after applying the log on both sides.

t = log3 ÷ (4log(1.004375))

t = 62.91

Kevin will earn $7500 for 62.91 years.

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The statements 1,2,3 are false, true and true respectively.

Given that,

Based on the policyholder's age in years (x1) and the insured car's worth in dollars, IHI Insurance performed a multiple linear regression analysis to forecast the value of the number of yearly claims made by a policyholder for motor insurance (y) (X2). 500 policyholders were chosen at random for the analysis. The sample included people ranging in age from 16 to 70, and the cars ranged in price from $1,100 to $52,000. I = 13 + (-0.5)X1i + (0.1)X2i is the multiple linear regression equation that corresponds to IHI's study.

a) y^i = 13 + (-0.5)x1i + (0.1)x2i

Here X 1i = 26 , X zi = 20

y^i = 13 + (-0.5)x1i + (0.1)x2i

y^i = 13 + (-0.5)(26) + (0.1)(20)

y^i = 2 it doesnt make 28 so it is false.

b) As the coefficient of X 1i  is negative, it will decrease by 0.5

So, it is true.

c) As the coefficient of X 2i  is positive, it will increase by 0.1

So, it is true.

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