What is the solution to x^3+4x^2 >x+4?

A study based on a population sample that includes 2000 respondents would be the most reliable out of the given options.

In statistical analysis, the reliability of a study depends on the representativeness and size of the sample.

A larger sample size generally provides more reliable results as it reduces the sampling error and increases the precision of the estimates.

Given that the population contains 20,000 people, we need to consider which number of respondents would yield the most reliable study.

Option A: 200 respondents

This represents only 1% of the population.

While it is better than having just 2 respondents, it may not be sufficient to accurately capture the characteristics of the entire population.

Option B: 20 respondents

This represents only 0.1% of the population.

With such a small sample size, the study would likely suffer from a high sampling error and may not provide reliable results.

Option C: 2000 respondents

This represents 10% of the population.

While it is a larger sample size compared to the previous options, it still only captures a fraction of the population.

The study may provide reasonably reliable results, but there is room for potential sampling error.

Option D: 2 respondents

This represents an extremely small sample size, accounting for only 0.01% of the population.

With such a small sample, the study would be highly susceptible to sampling bias and would likely yield unreliable results.

Based on the options provided, option C with 2000 respondents would be the most reliable study.

Although it does not include the entire population, a sample size of 2000 respondents provides a larger representation of the population and reduces the potential for sampling error.

However, it's important to note that the reliability of a study depends not only on sample size but also on the sampling method, data collection techniques, and other factors that ensure representativeness.

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Answer:

11.2 or 56/5 or 11 1/5

Step-by-step explanation:

Answer:

A- Verify corresponding pairs of ANGLES are congruent by TRANSLATION.

Step-by-step explanation:

You find the congruent pairs by the angles, not the sides. Because the sides can be the same size but the angles can possibly not be congruent so you check by the angles. And Translation because you don't change the size of the object to see if it's congruent.

Similar triangles may or may not have congruent side lengths.

The true statement is: (a) verify corresponding pairs of angles are congruent by translation.

For the two triangles to be similar, the side lengths of both triangles may or may not be equal.

This means that: options (b) and (d) are not true

Translation does not alter side lengths and angles, while dilation alters measure of angles.

This means that:

The pair of corresponding angles should be checked by translating the triangles.

Hence, the true statement is: (a)

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Answer:

1/2

Step-by-step explanation:

The numbers greater than 6 or less than 3 are 7, 8, 2, and 1.

4 numbers out of 8.

4/8 = 1/2

P(greater than 6 or less than 3) = 1/2

Answer:

4 hours

Step-by-step explanation:

Ratio of working together

Job : number of hours

1 : 3 = 1/3

Trainer

Job : number of hours

1 : x = 1/x

Trainee

Job : number of hours

1 : 3x = 1/3x

1/x + 1/3x = 1/3

Multiply through by 3x

3x(1/x) + 3x(1/3x) = 3x(1/3)

3 + 1 = x

4 = x

x = 4 hours

It takes the trainee 4 hours to finish the job

Answer:

95

Step-by-step explanation:

Use the mean formula: mean = sum of elements / number of elements

Plug in the mean and number of elements, then solve for the sum of the numbers:

mean = sum of elements / number of elements

19 = sum of elements / 5

95 = sum of elements

So, the sum of the numbers is 95.

Answer:

The ratio is   k  =   2.76 pounds /  foot

Step-by-step explanation:

From the question we are told that

   For  1 m  height  =>  4.10 kg mass

generally  1 meter = 3.28084 feet  

Also

  1 kg  = 2.20462 pound

  4.10 kg  =  x pounds

So

      \(x = \frac{4.10 * 2.20462}{1 }\)

=>    \(x = 9.04 \ pounds\)

So

        9.04 pounds  = 3.28084  feet  

         z pounds  =  1 foot

So  

       \(z = \frac{ 9.04 * 1 }{ 3.28084}\)

=>   z = 2.76 pounds

So the ratio is in pounds per foot is

      k  =   2.76 pounds /  foot

The value of given expression ab² - 4b is 84 .

We have given an expression ab² - 4b .

Putting a = 3 and b = 6 in given expression , we get

  \(ab^2 - 4b=3(6)^2-4(6)\\ab^2 - 4b=3\times36-24\\ab^2 - 4b=108-24\\ab^2 - 4b=84\)

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a) The estimated average yearly increase in the percentage of​ first-year college males claiming no religious affiliation is 0.5%.

b) Based on the above average, the percentage of​ first-year college males who will claim no religious affiliation in 2020 is 22.7%

Year     Male

1980     6.6%

1990    10.6%

2000   13.5%

2012    21.8%

Percentage of first-year college males claiming no religious affiliation in 2012 = 21.8%

Percentage of first-year college males claiming no religious affiliation in 1980 = 6.6%

The number of years between 2012 and 1980 = 32 years

The percentage increase from 1980 to 2012 = 15.2% (21.8% - 6.6%)

a. Average yearly increase = 0.475% (15.2% ÷ 32)

= 0.5%

b. The number of years between 2020 and 2012 = 8 years

In 2020, the percentage of first-year college males who will claim no religious affiliation based on the average yearly increase above =

Percentage in 2012 x (1 + Yearly Average)^8

21.8% = 0.218 (21.8 ÷ 100)

0.5% = 0.005 (0.5 ÷ 100)

= 0.218(1.005)⁸.

= 0.2269

= 22.69%

= 22.7%

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Answer:

its only -11x^2

Step-by-step explanation:

2x^2 and -11x^2 have the same variable.

Answer: 1 pound per $2

Step-by-step explanation:

Imagine this problem as a ratio:

Pounds : Dollars

3 : 6

To simplify this ratio, we see that a common divisor(in fact the only common divisor) is 3.

3/3 : 6/3

1 : 2

Therefore, we get 1 pound per $2

The unit rate of apples that Sam bought is 2 dollars per pound.

The unitary method is a mathematical technique for first determining the value of a single unit and then deriving any no. of units by multiplying with the single obtained unit. Suppose we have 4 pens that cost 12 dollars so, the cost of 1 pen is (12/4) = 3 dollars from this unit value we can determine the cost of any given no. of pens.

We can determine the unit rate if we divide the total amount by the total pound of apples bought this is also known as the unitary method.

∴ The unit rate per pound of apples is,

= (6/3) dollars.

= 2 dollars.

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The typical average price of gasoline should be $2.81 and not $2.69 because $2.69  is not the average of the sampled prices.

We are given the prices of a gallon of gasoline from 5 gas stations surveyed as; $2.79, $2.99, $2.69, $2.89, and $2.69.

Thus, to calculate the mean, we will use the formula;

Mean = ∑x/n

Mean = (2.79 + 2.99 + 2.69 + 2.89 + 2.69)/5

Mean = 14.05/5

Mean = $2.81

Thus, the typical average price of gasoline should be $2.81 and not $2.69

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Answer:

ohhsa koosha

Step-by-step explanation:

ohona koshana =vertana

Answer:

6

Step-by-step explanation:

divide 3/4 by 1/8  (same as multiplying by 8)

this gives you 6

Answer:

y=x+1

Step-by-step explanation:

Firstly, we need to know that the slope intercept form is known as:

y=mx+b, where y and x are coordinates, m is the slope and b is the y intercept.

We need to find m first, and then b. By doing that, we use the formula:

\(\frac{y1-y2}{x1-x2} \\\\\\y1=2\\y2=-1\\x1=1\\x2=-2\)

Plugging those values in, we get:

\(m= \frac{2-(-1)}{1-(-2)} \\\\= \frac{3}{3} \\=1\)

So with this information, we already know that y=1x+b. We just need to find b.

So we can pick one of the two coordinates given. Let's use (1,2) and plug those in.

2=1(1)+b

Now with that, we solve for b.

2=1+b

2-1=b

1=b

b=1

Therefore, we have the final equation of y=1x+1

or better,

y=x+1

Answer:

he spent 2hours 50minutes snowboarding

the time he spent skiing and snowboarding minus the time he skied

5hours minus 2hours 10minutes

Answer:

42 feet

Step-by-step explanation:

Answer:51

Step-by-step explanation:

The mean of brothers and sisters = 3

From the attached data set of brothers and sisters we can write the data values (frequency) as:

1, 5, 4, 2

We need to find the mean of brothers and sisters,

We know that the formula for the mean of data.

mean(\(\bar{x}\)) = sum of all data values / total number of data values

First we find the sum of all data values.

1 + 5 + 4 + 2 = 12

and the total number of data values = 4

Using above formula of mean,

mean(\(\bar{x}\)) = sum of all data values / total number of data values

mean(\(\bar{x}\)) = 12 / 4

mean(\(\bar{x}\)) = 3

Therefore, the required mean is: 3

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Find the complete question below.

Answer:

Step-by-step explanation:

The domain is the set of x values and the range is the set of y-values.

Answer:

10

Step-by-step explanation:

(-2n + 4) + 2(n + 3) Distribute 2 through the parentheses

-2n+4+2n+6 Since two opposites add up to zero, remove them from the expression

4+6

=10

Answer:

(5 , 11)

Step-by-step explanation:

\(Equation\ 1\\\\\y=3x-4\\\\Equation\ 2\\\\\y=\frac{2}{5}x+9\)

There are three ways to solve the systems of linear equations

1) Elimination method - where we add/subtract the equations to eliminate the variable

2) Substitution method - where we substitute one variable in the form of another variable

3) Graphing method - where we sketch the graphs of both the equations and if they intersect that point would be the solution and if they don't there is no solution

We use the second method the Substitution method which is the easiest in my opinion.

Here we got two equations so lets just substitute equation 1 with equation 2 meaning insert equation 1 into equation 2 like here:

\(3x-4=\frac{2}{5}x+9\)

as you can see here we eliminated the variable y by substituting y in terms of x.

Now we just solve the equation algebraically

\(3x-4=\frac{2}{5}x+9\\3x-\frac{2}{5}x=9+4\\\frac{15x-2x}{5} =13\\\\\frac{13x}{5}=13\\\\13x=65\\x=65/13\\x=5\\\)

The value of x is 5 now to find the value of y we insert the value of x in any two equations lets insert the value of x into equation 1

\(y=3x-4\\y=3(5)-4\\y=15-4\\y=11\)

so the solution of the system of linear equations is (5 , 11)

An exponential equation in the form \(y=a(b)^x\) that can model the amount of caffeine, y, in Kendall's body x hours after drinking the coffee is

The amount of caffeine that will be in Kendall's body after 12 hours is 18 milligrams.

In Mathematics, an exponential function can be modeled by using the following mathematical equation:

f(x) = a(b)^x

Where:

Since Kendall drank a cup of coffee that had 95 milligrams of caffeine which is decreasing at a rate of 5% per day, this ultimately implies that the relationship is geometric and the rate of change (decay rate) is given by:

Rate of change (decay rate) = 100 - 13 = 87% = 0.87.

By substituting the parameters into the exponential equation, we have the following;

\(f(x) = 95(0.87)^x\)

When x = 12, we have;

\(f(12) = 95(0.87)^{12}\)

f(12) = 17.86 ≈ 18 milligrams.

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p(x) = 6(x² + 2) + 13

To find p(15) you have to replace x = 15 into the equation, as follows:

p(15) = 6(15² + 2) + 13

p(15) = 6(225 + 2) + 13

p(15) = 6(227) + 13

p(15) = 1362 + 13

p(15) = 1375

Answer:

4yd

144

Step-by-step explanation:

because 4yd is greater than 144

Answer:

The constant of proportionality is 0.3

Step-by-step explanation:

» The graph shows a direct proportiinality.

\({ \rm{y \: \alpha \: x}}\)

» Therefore, input the constant;

\({ \rm{y = kx}}\)

» When x is 5, y is 1.5:

\({ \tt{1.5 = (k \times 5)}} \\ { \rm{k = 0.3}}\)

Answer:

0.3

Step-by-step explanation:

On a graph, proportional relationships are straight lines that extend through the origin.  

Slope of a graph = constant of proportionality of the equation

Let (5, 1.5) = \((x_1,y_1)\)

Let (20, 6) = \((x_2,y_2)\)

Formula of a slope: \(m=\dfrac{y_2-y_1}{x_2-x_1}\)

\(\implies m=\dfrac{6-1.5}{20-5}=0.3\)

So as the slope = 0.3, the constant of proportionality = 0.3

The dimensions of the smaller rectangle are 13 centimeters by 52 centimeters.

Let's assume the dimensions of the smaller rectangle are length L and width W (in centimeters).

We know that the area of the smaller rectangle is 676 square centimeters:

L * W = 676    ----(1)

We also know that the larger rectangle has a shorter side of 41 centimeters. Let's say the corresponding longer side of the larger rectangle is H centimeters.

The area of the larger rectangle is 3457 square centimeters:

41 * H = 3457    ----(2)

Our current set of equations contains two unknowns. In order to get the smaller rectangle's dimensions, we can simultaneously solve these equations.

In order to find H, we can use equation (2):

H = 3457 / 41

H ≈ 84.22

Now we can substitute this value of H into equation (1):

L * W = 676

We need to find the dimensions (L and W) that multiply to give 676. We can start by looking for factors of 676.

Factors of 676: 1, 2, 4, 13, 26, 52, 169, 338, 676

By trial and error, we can see that the factors that give a close match to the dimensions of the larger rectangle (41 and 84.22) are 13 and 52:

L = 13

W = 52

Therefore, the smaller rectangle has measurements of 13 by 52 centimetres.

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Answer:

65

Step-by-step explanation:

x=52+y

x=5y

y=x/5

x=52+(x/5)

x-(x/5)=52

(5x-x)/5=52

4x=52×5

4x=260

x=260/4

x=65

Bunga is 65 yrs old

Metali is 13 yrs old

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▹ Answer

#3. 1.89/100

▹ Step-by-Step Explanation

1.89 → hundreths place so..

1.89/100 is the correct answer

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