- x\3 > 5 solve the inequality
help pls?
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For the given data set, the mean is 10, the variance is 19.8, and the standard deviation is approximately 4.45.

We have,

The given data set is: 5, 15, 9, 3, 12, 8, 13, 6, 18, 11.

To find the mean, variance, and standard deviation, we can follow these steps:

Step 1: Calculate the mean:

Mean (μ) = (Sum of all values) / (Number of values)

Mean = (5 + 15 + 9 + 3 + 12 + 8 + 13 + 6 + 18 + 11) / 10

Mean = 100 / 10

Mean = 10

Step 2: Calculate the variance:

Variance (σ²) = (Sum of squared differences from the mean) / (Number of values)

To calculate the variance, we need to find the squared differences from the mean for each value:

(5 - 10)² + (15 - 10)² + (9 - 10)² + (3 - 10)² + (12 - 10)² + (8 - 10)² + (13 - 10)² + (6 - 10)² + (18 - 10)² + (11 - 10)²

Calculating the squared differences:

25 + 25 + 1 + 49 + 4 + 4 + 9 + 16 + 64 + 1 = 198

Variance = 198 / 10

Variance = 19.8

Step 3: Calculate the standard deviation:

Standard Deviation (σ) = Square root of the variance

Standard Deviation = √(19.8)

Standard Deviation ≈ 4.45 (rounded to two decimal places)

Therefore,

For the given data set, the mean is 10, the variance is 19.8, and the standard deviation is approximately 4.45.

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Answer:

$400

Step-by-step explanation:

$500*80%=$400

Answer:

the answer is 108 the last choice D

The scalar projection of x onto y is 10, and the dot product of x and y is 240.

The scalar projection of x onto y is given by the formula:

proj_y x = |x| cos(θ),

where |x| is the length of x, cos(θ) is the cosine of the angle between x and y, and proj_y x is the scalar projection of x onto y.

So we have:

proj_y x = |x| cos(θ) = 18 (5/9) = 10.

The dot product of x and y is given by the formula:

x · y = |x| |y| cos(θ),

where |x| and |y| are the lengths of x and y, and cos(θ) is the cosine of the angle between x and y.

So we have:

x · y = |x| |y| cos(θ) = 18 × 24 × (5/9) = 240.

Therefore, the scalar projection of x onto y is 10, and the dot product of x and y is 240.

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Maria works 24.5 hours a week and earns 8.76 per hour, thus she makes 214.02 each week.

To calculate how much Maria earns each week, we need to multiply the number of hours she works by her hourly rate of pay.

Maria works for 24.5 hours each week, and she earns $8.76 per hour.

So, to calculate her earnings, we can use the formula:

Earnings = Hours worked x Hourly rate of pay

Substituting the values we have, we get:

Earnings = 24.5 hours x $8.76 per hour

Earnings = $214.02

Therefore, Maria earns $214.02 each week working at the bookstore. It is important to note that this is before taxes and other deductions that may be applicable, which would result in her net pay being lower than this amount.

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Barton should use a luggage scale to get the most accurate and appropriate measurement of his packed suitcase before he leaves to catch a flight. A luggage scale is a compact and portable device that is designed specifically to weigh luggage. Using a luggage scale is easy and convenient as it allows travelers to weigh their bags accurately, ensuring that they are within the airline's weight limit. To use a luggage scale, Barton should follow these simple steps:

Step 1: Attach the luggage strap Barton should attach the luggage strap to the handle of his suitcase.The strap should be attached in such a way that it can support the weight of the suitcase without slipping or coming off.

Step 2: Turn on the luggage scale Barton should turn on the luggage scale and wait for it to calibrate. This usually takes a few seconds. Once the scale is calibrated, it will display a zero reading.

Step 3: Lift the suitcase Barton should lift the suitcase by the luggage strap until it is off the ground. The luggage scale will display the weight of the suitcase on its digital display. This reading is the weight of the suitcase including all the contents inside.

Step 4: Check the weight If the weight of the suitcase is less than 50 pounds, Barton can go ahead and catch his flight without worrying about any extra charges. If the weight of the suitcase is more than 50 pounds, Barton will have to remove some items from the suitcase or pay the extra fee charged by the airline.

Therefore, using a luggage scale is the most accurate and appropriate method for travelers like Barton to measure their suitcase weight before boarding their flight.

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Answer:

use a standard digital bathroom scale.

Step-by-step explanation:

Answer:

\(\left(-3\right)\cdot \:2+\left(-2\right)\\\left(-3\right)\cdot \:2\\\\=-6\\\=-6+\left(-2\right)\\\\=-6-2\\=-8\)

I hope this is what you're looking for

Answer:

y = 2x - 12

Step-by-step explanation:

To write the equation of the line in slope intercept form, we need to determine the slope of the line and the y-intercept of the line. Once we determine the slope and the y-intercept of the line, we can substitute them into the slope intercept equation to determine the equation of the line.

Question: How to determine the slope and the y-intercept?

The slope of the line can be determined by applying the slope formula and the y-intercept can be determined by substituting the "determined slope" and any point whereas the line passes through that point, into the slope intercept form equation.

[Step-1] Finding the slope of the line:

The formula that can be used to find the slope of a line are as follows:

\(\underline{\text{Slope of a line}:} \ \boxed{\frac{y_{2} - y_1 }{x_2 - x_1} }\)

Let us substitute (4, -4) and (8, 4) into the slope formula by substituting into their respective places. As a result, the slope will be as follows:

\(\implies \dfrac{4 - (-4)}{8 - 4} = \dfrac{4 + 4}{4} = \dfrac{8}{4} = 2\)

Therefore, the slope is 2.

[Step-2] Finding the y-intercept of the line:

According to the instruction stated above, we have to substitute the slope of the line and the x/y coordinates of any point, whereas the line passes through that point, into the slope intercept form equation.

\(\implies \text{y = mx + b (Slope intercept form equation)}\)

Slope is usually known as "m" in the slope intercept form equation and y-intercept is usually known as "b" in the slope intercept form equation.

Therefore, we have: \(m = 2\)

\(\implies \text{y = (2)x + b}\)

Further, let us substitute the coordinate of any point, whereas the line intersects that point. I will choose the point [8, 4].

Now, let us expand the coordinate (8, 4) to determine the x and y coordinates. Since we have 8 as the x-coordinate and 4 as the y-coordinate, we can say that: x = 8; y = 4

\(\implies \text{(4) = (2)(8) + b}\)

Then, let us solve for b. The value of "b" will be the y-intercept.

\(\implies \text{4 = 16 + b}\)

\(\implies \text{4 - 16 = \boxed{-12 = b}}\)

Therefore, the y-intercept is -12.

[Step-3] Determining the equation of the line

According to the instruction stated above, we have to substitute the slope and the y-intercept of the line in the slope intercept form equation to determine the equation of the line in slope intercept form.

\(\implies y = mx + b \longrightarrow \text{Slope intercept form}\)

\(\implies y = (2)x + (-12)\)

Finally, simplify the equation:

\(\implies y = 2x -12\)

Therefore, the equation of the line in slope intercept form is y = 2x - 12.

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True. The central limit theorem states that if the sample size n is large enough (usually considered to be at least 30), then the sampling distribution of the mean will be approximately normal, regardless of the shape of the population distribution.

The sampling distribution of the mean can be approximated by the normal distribution if the sample size (n) is at least 30. This statement is based on the Central Limit Theorem, which states that the sampling distribution of the mean of a random sample drawn from any population will approach a normal distribution as the sample size increases, regardless of the shape of the population distribution. A sample size of 30 is often considered the threshold for approximating a normal distribution in such cases.

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The wide-area search method employs the use of markers such as knots at regular intervals along the search line.

Given the method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line.

In order to locate, relieve distress, and preserve the life of a person who has been reported missing or is believed to be lost, stranded, or is considered a high-risk missing person, wide area search and rescue refers to activities occurring within large geographic areas. It also refers to the removal of any survivors to a safe location.

Hence, the wide-area search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line

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The most appropriate inference procedure for the researchers to use to analyze the results is a matched-pairs t-interval for a population mean difference.

A matched-pairs t-interval for a population mean difference is suitable for this study because it involves comparing the pretest and posttest scores of the same individuals.

The researchers are interested in determining whether there is a significant difference in the number of correct answers before and after the adult reading program.

By using a matched-pairs t-interval, the researchers can analyze the mean difference in scores and determine the range within which the true population mean difference is likely to fall. This inference procedure takes into account the paired nature of the data, accounting for individual differences and increasing the precision of the estimate.

It is important to use this procedure as it considers the correlation between the pretest and posttest scores for each individual, providing a more accurate assessment of the program's effectiveness.

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Answer:

The lesser integer is 9.

Step-by-step explanation:

Let the lesser integer be x then the greater is x+2

So, we have:

3x = 2(x+2) + 5

3x = 2x + 9

x = 9

So the numbers are 9 and 11.

Step-by-step explanation:

Let the number be x

From the question 60% of the number is 18

The equation is

\( \frac{60}{100} x = 18\)

Multiply through by 100

That's

\(100 \times \frac{60}{100} x = 18 \times 100 \\ 60x = 1800 \\ \frac{60x}{60} = \frac{1800}{60} \)

We have the final answer as

25% of the number is

\( \frac{25}{100} \times 30 \\ \rarr \: \frac{1}{4} \times 30 \\ \rarr \: \frac{30}{4} \: \: \: \: \: \: \: \\ \rarr \: \: \: \: \frac{15}{2} \)

We have the final answer as

Hope this helps you

The sum of angles of a polygon having 10 sides is equal to 1440°.

The sum of angles of a polygon having 10 sides is equal to 1440°. This can be calculated by using the formula:

Sum of angles of a polygon = (n - 2) * 180°

Where n is the number of sides of the polygon.

Therefore, substituting the value of n = 10 in the above formula, we get:

Sum of angles of a polygon = (10 - 2) * 180°

Sum of angles of a polygon = 8 * 180°

Sum of angles of a polygon = 1440°

Hence, the sum of angles of a polygon having 10 sides is equal to 1440°.

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The solution of the equation \(\frac{12a}{k}+\frac{4k}{b^2}+\frac{z}{a}\) is  \(\frac{12b^2a^2+4k^2a+kb^2z}{kb^2a}\)

The given expression is \(\frac{12a}{k}+\frac{4k}{b^2}+\frac{z}{a}\)

To solve this problem first we have to find the LCM of the given terms

LCM is the least common multiple. LCM is the method to find the least common multiple of two or more numbers. We can find the LCM using different methods like prime factorization method and long division method

Here the denominators are k, \(b^2\) and a, we have to multiply the terms, because there is no common term

LCM of k, \(b^2\) and a = k × \(b^2\) × a

Multiply the given terms

Therefore, LCM ( k, \(b^2\),a) = \(kb^2a\)

Then the given expression will be

\(\frac{12a}{k}+\frac{4k}{b^2}+\frac{z}{a}\) = \(\frac{(b^2a)(12a)+(ka)(4k)+(kb^2)z}{kb^2a}\)

Open the bracket by multiplying it
= \(\frac{12b^2a^2+4k^2a+kb^2z}{kb^2a}\)

Hence, the solution of the equation \(\frac{12a}{k}+\frac{4k}{b^2}+\frac{z}{a}\) is  \(\frac{12b^2a^2+4k^2a+kb^2z}{kb^2a}\)

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Answer:

Acapulco

Step-by-step explanation:

Answer:

I think its A even function

Step-by-step explanation:

Since their were no numbers to the questions i had to write it by the problem

Circle with 9 feet question

C=2(pi)r or C=(pi)d

Circular table question

A=(pi)r^2

Interest question

I=Prt

Volume of a rectangular prism

V=Bh

Triangular pyramid

V=1/3Bh

Answer: y=x/3 + 4

Step-by-step explanation:

Answer:

4th term

Step-by-step explanation:

Equate the nth term formula to 54 and solve for n

3n² - n + 10 = 54 ( subtract 54 from both sides )

3n² - n - 44 = 0

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term.

product = 3 × - 44 = - 132 and sum = - 1

The factors are - 12 and + 11

Use these factors to split the n- term

3n² - 12n + 11n - 44 = 0 ( factor the first/second and third/fourth terms )

3n(n - 4) + 11(n - 4) = 0 ← factor out (n - 4) from each term

(n - 4)(3n + 11) = 0

Equate each factor to zero and solve for n

n - 4 = 0 ⇒ n = 4

3n + 11 = 0 ⇒ 3n = - 11 ⇒ n = - \(\frac{11}{3}\)

Since n > 0 then n = 4

The 4th term of the sequence is 54.

A sequence is a set of numbers with a constant difference or a constant ratio or it have a certain relation with the next and previous term.

According to the given question the nth term of a sequence is 3n² - n + 10.

We have to determine which term is equal to 54 or the value of and it must be an integer.

So, 3n² - n + 10 = 54.

3n² - n - 44 = 0.

3n² - 12n + 11n - 44 = 0.

3n(n-4) +11(n-4) = 0.

(3n+11) = 0 OR (n-4) = 0.

n = - 11/3 OR n = 4.          ( given the term no. is a positive integer ).

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Answer:

The answer is 8.27×10^4

Answer: 8.27×10^4

Step-by-step explanation:

a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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Answer:

Another word for the mean is "average".

Which measure of central tendency is affected by outliers? Mean.

When would you calculate an expected value? when your data points have various probabilities of occurring.

What is the median of the following set of numbers: 4, 0, -3, 5, 1, 3, -2? 3.

True or false: The mode is universally an accurate representation of data sets because it captures the number that occurs most often. False. Mode is not always an accurate representation of data sets and it may not exist in certain data sets.

Step-by-step explanation:

1945 men and 2849 women register to audition for a singing competition. The number of participants who are not successful in their auditions what’s five times the number of those who are successful. There are 799  participants were successful.

The successful  participants  can be calculate by solving a linear equation as follows

First, it's crucial to understand linear equations.

Equation connects the two algebraic expressions with an equal to sign to demonstrate the equality between the two algebraic expressions.

Linear equations are those with one degree.

In this case, a linear equation must be resolved.

1945 for the men's total

Women are present in 2849.

Participants in total: 1945 + 2849 = 4794

Let x be the proportion of participants that were successful.

Men who failed were 5 times as numerous.

Participants in total: 5x + x = 6x

Due to the issue,

The linear formula is

6x = 4794

x = 4794/6

x = 799

799 of the participants had success.

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Answer:

Any number that is a whole number not a fraction or decimal

Step-by-step explanation:

To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.

Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:

sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x

Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:

x = cos θ
y = sin θ

Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:

sin^2 θ + cos^2 θ = 1

From this, we can derive:

cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ

And then use the definitions of tangent and cotangent ratios:

tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ

Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:

1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side

Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:

Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)

Step 2: Solve for y using the sine ratio:
y = r * sin(θ)

So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).

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