24-{[16-(8-1)]×2 please answer

The smallest natural number that satisfies the inequality is n = 2.

We want to find the smallest natural number n such that \(2n > n^2\) for all n greater than n.

We can start by simplifying the inequality \(2n > n^2\) to n(2 - n) > 0.

Notice that when n = 1, the inequality is false, since \(2(1) \leq (1)^2\). So we can assume that n ≥ 2.

If n > 2, then both n and 2 - n are positive, so the inequality n(2 - n) > 0 holds.

If n = 2, then the inequality becomes 2(2) > \(2^2\), which is true.

Therefore, the smallest natural number that satisfies the inequality is n = 2.

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To determine the ratio of the heights of two similar pentagonal prisms with a volume ratio of 27:125, we need to consider the relationship between the volumes and dimensions of similar prisms. Since the prisms are similar, their corresponding linear dimensions (height, width, and length) have the same ratio.

Let's denote the ratio of their heights as h₁ : h₂. The volume ratio can be expressed as:

(Volume of Prism 1) / (Volume of Prism 2) = 27/125

For a prism, the volume can be calculated as:

Volume = Base Area × Height

Since the prisms are similar, the ratio of their base areas is the square of the ratio of their linear dimensions. Therefore, the ratio of their base areas is (h₁/h₂)².

Now, we can express the volume ratio in terms of their heights:

(h₁ × Base Area 1) / (h₂ × Base Area 2) = 27/125

Since the base areas are proportional, we can substitute the base area ratio with the height ratio squared:

(h₁ × (h₁/h₂)²) / h₂ = 27/125

We can cancel out one h₁ from both the numerator and denominator:

(h₁/h₂)² = 27/125

Now, take the square root of both sides to find the height ratio:

h₁/h₂ = √(27/125) = √(3³/5³) = 3/5

So, the ratio of their heights is 3:5.

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To predict the non-violent crime rate in City Z when the unemployment rate is 27, we can use the regression equation:

Non-violent Crime Rate = Intercept + Slope * Unemployment Rate

Given that the slope is 27.15 and the intercept is -12428, we can substitute these values into the equation:

Predicted Non-violent Crime Rate = -12428 + 27.15 * 27

Calculating the result:

Predicted Non-violent Crime Rate = -12428 + 733.05

Predicted Non-violent Crime Rate ≈ -11694.95

Since negative crime rates don't make sense, we can assume that the predicted non-violent crime rate in City Z when the unemployment rate is 27 is 0 (or a very low value close to 0).

Please note that this prediction is based on the given regression model and assumes a linear relationship between the unemployment rate and the non-violent crime rate.

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Step-by-step explanation:

Two quantities in real life that vary directly with each other are:

1. Distance and time: The distance covered by a moving object is directly proportional to the time taken to cover that distance. If we travel at a constant speed, then the distance covered will increase as the time taken to cover that distance increases.

2. Wages and hours worked: The wages earned by a worker are directly proportional to the number of hours worked. If the worker works more hours, then they will earn more wages.

Two quantities in real life that vary inversely with each other are:

1. Speed and travel time: The speed of a vehicle is inversely proportional to the travel time required to cover a fixed distance. If we increase our speed, then the travel time required to cover that distance will decrease.

2. Productivity and workforce size: The productivity of a company is inversely proportional to the size of its workforce. If we increase the number of workers, then the productivity per worker may decrease due to decreased efficiency, communication problems, or other factors.

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The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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Answer:

Your search - her needs, feelings, simplify -0.5 + ½p - 2.75 + ⅔p wellbeing take priority over other people or ... - did not match any documents.

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Answer:

-0.5+\frac{1}{2}p-2.75+\frac{2}{3}p=1.16666\dots p-3.25

-0.5+\frac{1}{2}p-2.75+\frac{2}{3}p

=\frac{1}{2}p+\frac{2}{3}p-0.5-2.75

=\frac{7}{6}p-0.5-2.75

=\frac{7p}{6}-0.5-2.75

=\frac{7p}{6}-3.25

=1.16666\dots p-3.25

Step-by-step explanation:

The set of natural numbers {1,2,3,4,...} and the set of positive even numbers {2, 4, 6, 8, . . .} are different because natural numbers include all positive integers, while even numbers only include those that are divisible by 2 with no remainder.

Two important sets of numbers are natural numbers and even numbers. The set of natural numbers consists of numbers that are not negative, beginning with 1 and continuing indefinitely with 2, 3, 4, and so on.

The set of even numbers, on the other hand, consists of numbers that are divisible by 2, beginning with 2, 4, 6, and so on.

Positive integers refer to natural numbers. Any integer greater than zero is a positive integer.

Zero is not a positive integer. Hence, the set of natural numbers consists of {1,2,3,4,…}

On the other hand, the set of even numbers consists of {2, 4, 6, 8, . . .}.

Therefore, {1,2,3,4,…} and {2, 4, 6, 8, . . .} are two different sets of numbers where one set is composed of positive integers (natural numbers) and the other is composed of positive even numbers.

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The probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

This problem can be solved using the binomial distribution, since we are interested in the probability of a certain number of successes (adults who exercise regularly) in a fixed number of trials (selecting 11 adults randomly).

Let X be the number of adults who exercise regularly out of 11. Then X has a binomial distribution with parameters n = 11 and p = 0.25, since the probability of success (an adult who exercises regularly) is 0.25.

We want to find the probability that four or less adults exercise regularly, which is equivalent to finding the probability of X ≤ 4. We can use the binomial cumulative distribution function to calculate this probability:

P(X ≤ 4) = Σ P(X = k), for k = 0, 1, 2, 3, 4

Using a calculator, spreadsheet software, or a binomial probability table, we can find the probabilities for each value of k, and then add them up to get the cumulative probability:

P(X = 0) = (11 choose 0) * (0.25)^0 * (0.75)^11 = 0.0563

P(X = 1) = (11 choose 1) * (0.25)^1 * (0.75)^10 = 0.2015

P(X = 2) = (11 choose 2) * (0.25)^2 * (0.75)^9 = 0.3159

P(X = 3) = (11 choose 3) * (0.25)^3 * (0.75)^8 = 0.2747

P(X = 4) = (11 choose 4) * (0.25)^4 * (0.75)^7 = 0.1340

P(X ≤ 4) = 0.0563 + 0.2015 + 0.3159 + 0.2747 + 0.1340 = 0.9824

Therefore, the probability that four or less adults exercise regularly out of 11 randomly selected adults is approximately 0.9824.

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Given :

You order 1.5 pounds of turkey at the deli.

You will accept the turkey if its weight is between 1.54 and 1.46 pounds.

To Find :

What absolute value inequality can be used to describe the tolerance of the weight of the turkey.

Solution :

It is given that the weight cannot be less that 1.46 pounds.

So, mathematical equation is :

x ≥ 1.46 .....1 )

Also, weight cannot be greater than 1.54 pounds.

x ≤ 1.54 ......2)

Combining equation 1 and 2 we get :

1.46 ≤ x ≤ 1.54

Hence, this is the required solution.

Answer:

915 miles

Step-by-step explanation:

15 divided by 5 is 3

305 times 3

Answer:

915 miles

Step-by-step explanation:

If ross drifves 305 miles in 5 hours, then he would drive 915 miles because 5 hours multiplied by 3 is 15 hours and 305 multibplied by 3 is 915

On solving the provided question, by properties of parallel lines we got to know that -  1 - A  2 - C  3 - B  4 - D

When two or more lines cross the intersection line, alternate exterior angles result. These angles are created on a number of sides outside the transverse lines. Any two parallel lines that cross one another create two angles with the horizontal line. In the area between the parallel lines, interior angles are formed, while alternate exterior angles are formed in the area outside the parallel lines.

Matches are -

1 - A

2 - C

3 - B

4 - D

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Since the proposed side length of the square is between 6 and 7, we can assume that it is 6.5 hence, the lengths will be d = 6.5 and c = 9.19.

Here is what we were given:

Side length of square = 6 > x <7

A convenient assumption for this is 6.5

We also know that d and c and the base of two right triangles. where their hypotheses' are equal to the side lenght of the square = 6.5

we also know that the in between the line formed by D and C is a 90 degree angle.

Hence the sum of the other angle will be 45 degrees each.

This is  based on sum of angles in a triangle.

Hence,

c = b /sin(β)

= 6.5/sin (45)

= 6.5/0.70710678118

 c = 9.19

d = √c² - b²

 = √(9.19238815542512² - 6.52²)

= √42.25

d = 6.5

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The number of 4' x 8' drywall sheets needed for a 10' x 12' room with 8' walls is 10 drywall sheets.

To determine the number of 4' x 8' drywall sheets needed for a 10' x 12' room with 8' walls, follow these steps:

Step 1: Measure the Area of the Walls

Length of the wall = 10 feet

Height of the wall = 8 feet

Area of one wall = length × height

Area of the wall = 10 feet × 8 feet

Area of the wall = 80 square feet

Since there are four walls in the room, the total area of the walls will be:

Total Area of Walls = 4 × 80 square feet

Total Area of Walls = 320 square feet

Step 2: Calculate the Drywall Area

We will be using 4 feet by 8 feet drywall sheets.

Each drywall sheet has an area of 4 × 8 square feet.

Area of one drywall sheet = 4 × 8 square feet

Area of one drywall sheet = 32 square feet

Step 3: Calculate the Number of Drywall Sheets Needed

The number of drywall sheets needed can be calculated by dividing the total area of the walls by the area of one drywall sheet.

Number of drywall sheets needed = Total area of walls / Area of one drywall sheet

Number of drywall sheets needed = 320 square feet / 32 square feet

Number of drywall sheets needed = 10 drywall sheets

Therefore, the number of 4' x 8' drywall sheets needed for a 10' x 12' room with 8' walls is 10 drywall sheets.

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Answer:

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

Sum of interior angles of 6-sides polygon is:

Set equation for the sum of interior angles and solve for x:

Find the measure of angle L:

Correct choice is C.

\(\underset{in~degrees}{\textit{sum of all interior angles}}\\\\ S = 180(n-2) ~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n=6 \end{cases}\implies S=180(6-2)\implies S=720 \\\\[-0.35em] ~\dotfill\\\\ (120)+(8x)+(6x-7)+\stackrel{\measuredangle L}{(7x-3)}+(5x)+\stackrel{\measuredangle O}{(90)}=720\implies 26x+200=720 \\\\\\ 26x=520\implies x=\cfrac{520}{26}\implies x=20~\hfill \underset{\measuredangle L}{\stackrel{7(20)~~ - ~~3}{\text{\LARGE 137}}}\)

Answer:

The correct answer is A

Step-by-step explanation:

A line parallel to M

The slope of a graph is base on the rise over run of the line connected by the points which composed of an X and Y coordinate. The rise of the line is its Y and the Run is X. Base on the assigning of variables of its x and y value, the slope is calculate by dividing the weeks by its test so the answer is 3 over 4 or 0.75

If 74 amplifiers are sampled, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.

The question is asking for the probability that the mean of the sample would differ from the population mean by less than 2.8 watts. We are given that the mean output of the amplifier population is 321 watts with a variance of 144, and that 74 amplifiers are sampled.

To find the probability, we can use the standard deviation, which is the square root of the variance. Therefore, the standard deviation is √144 = 12 watts.

Since we are dealing with a sample mean, we can use the formula for the standard error of the mean, which is the standard deviation divided by the square root of the sample size. In this case, the sample size is 74.

The standard error of the mean is 12 / √74 ≈ 1.3922 watts.

To find the probability that the mean of the sample would differ from the population mean by less than 2.8 watts, we can use the standard normal distribution. We can calculate the z-score using the formula: (x - μ) / σ, where x is the difference in means (2.8 watts), μ is the population mean (321 watts), and σ is the standard error of the mean (1.3922 watts).

The z-score is (2.8 - 321) / 1.3922 ≈ -231.0971.

To find the probability, we need to find the area under the standard normal curve to the left of the z-score. Using a standard normal table or a calculator, the probability is essentially 0 (rounded to four decimal places).

Therefore, the probability that the mean of the sample would differ from the population mean by less than 2.8 watts is approximately 0.

Complete Question: The mean output of a certain type of amplifier is 321 watts with a variance of 144. If 74 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 2.8 watts? Round your answer to four decimal places.

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The required, Mmusi borrowed R3000 from Aggie as per the given conditions.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on loan.

Amount = Principal [1 + rate×time]

Let's call the amount Mmusi borrowed from Aggie "P".

After two years, he has to pay back
= P + P * 18% * 2
= P + 0.18 * P * 2
= P + 0.36P
= 1.36P

So if he has to pay back R4080, we can set up an equation to solve for P:

1.36P = 4080

To find P, we can divide both sides by 1.36:

P = 4080 / 1.36 = 3000

So Mmusi borrowed R3000 from Aggie.

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Answer:

Sure. Here are the steps on how to construct a confidence interval at a 95% confidence level for the mean amount spent on a child's last birthday gift:

Identify the sample size, n. In this case, n=13.

Identify the sample mean,  

x

ˉ

. In this case, $\bar{x} = $36.

Identify the sample standard deviation, s. In this case, $s = $15.

Identify the t-critical value, t. The t-critical value is the value that cuts off 2.5% of the distribution in each tail, leaving 95% of the distribution in the middle. To find the t-critical value, we need to know the degrees of freedom, df. The degrees of freedom are calculated as df=n−1. In this case, df=13−1=12.

We can find the t-critical value using a t-distribution table. The t-distribution table shows the t-critical values for different degrees of freedom and different confidence levels. For a 95% confidence level and 12 degrees of freedom, the t-critical value is 2.179.

Calculate the confidence interval. The confidence interval is calculated as follows:

$\bar{x} \pm t \cdot \frac{s}{\sqrt{n}}$

In this case, the confidence interval is:

$36 \pm 2.179 \cdot \frac{15}{\sqrt{13}} = (27.28, 44.72)$

Therefore, a 95% confidence interval for the mean amount spent on a child's last birthday gift is $27.28 to $44.72.

Step-by-step explanation:

Answer:

negative signs

Step-by-step explanation:

Answer: y=-0.5x-2

Step-by-step explanation:

∵ 1/3 of 9 means multiply it by 9

3 is 1/3 of 9 cookies and lollipops

Answer:

1/3 of 9 is 3.

Step-by-step explanation:

Think of it like this: what number can be added to itself 3 times to get 9? The answer is 3! 3 + 3 + 3 = 9. So, 1/3 of nine is 3 because 9 split into 3 sections would be 1/3 + 1/3 + 1/3 = 1 and 3 + 3 + 3 = 9. So, 1/9 simplified is 1/3!

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Before you can multiply two matrices together, the number of COLUMN in the first matrix must equal the number of rows in the second matrix.

The entries of a matrix are a rectangular array of numbers (or other mathematical objects). Standard operations like addition and multiplication can be performed on matrices. A matrix over a field F is often just a rectangular array of F's constituent elements.  Real and complex matrices are those whose entries are real or complex numbers, respectively.

The entries or elements of the matrix are its numbers, symbols, or phrases. In a matrix, the terms "rows" and "columns" refer to the horizontal and vertical rows of entries, respectively.

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Answer:The data set that is represented in the histogram is {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} Definition of a histogram An histogram is a graph that organises numerical data. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval. the frequency is usually on the vertical axis while the class interval is usually on the horizontal axis.Explaining the graphLooking at the histogram, the age group of 5 - 10 have 3 children in the carpool. the age group of 11 - 13 have 7 children in the carpool. the age group of 14 - 18 have 4 children in the carpool. This means that there are 14 children in the carpool. The correct option should have 14 ages that range between 5 and 18. Here are the options of this question: A. {3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4} B. {5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18} C. {5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13} D. {3, 5, 10, 11, 13, 7, 18, 14, 4}

Step-by-step explanation:

Answer:

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

= 5

= 10

=  +  = 15

= x - 3

= x + 1

A two column proof is presented as follows;

Statement          Reason

∠L ≅ ∠L             By Reflexive property of congruency

║           Given

∠LOP ≅ ∠LMN   By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN   By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

/  = / = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

= (x - 3) = 5 - 3 = 2

= 2

= x + 1 = 5 + 1 = 6

=  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since  ║ , ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

/TO/ and /US/ are parallel so the angles at TOS (©)and the external angle at OSU (©) are equal ( Z angles) therefore the internal angle at OSU will be 180 - © similarly the angle at POT is also 180 - ©

(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.

To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.

If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).

If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.

Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).

(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.

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Complete question:

The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.

(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).

c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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