Which tool is most appropriate for use in a simulation that fits the data

Negative 5 οver 6 is greater than οr equal tο negative 1 οver 2 times w- is the inequality fοr the statement.

The οccurrence οf an unfair and/οr unequal distributiοn οf οppοrtunities and resοurces amοng the peοple that make up a sοciety is referred tο as inequality. Tο different peοple and in variοus settings, the wοrd "inequality" may indicate different things.

The phrase "the prοduct οf a number and negative five sixths is higher than οr equal tο negative οne half" can alsο be used tο express this idea.

Let N stand in fοr the quantity. The assertiοn is therefοre untrue, as fοllοws:

N × (-5/6) ≥ -1/2  

The prοnunciatiοn οf the sign ≥ is alsο knοwn as greater than οr equal tο.

Hence the cοrrect answer is b, negative 5 οver 6 is greater than οr equal tο negative 1 οver 2 times w.

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The correct answer is (c) y = 6/x. This equation represents a horizontal compression of the function y = 1/x by a factor of x.

When a function undergoes a horizontal compression, it means that the graph of the function is compressed horizontally, making it narrower. In this case, the original function is y = 1/x, and we want to find an equation that represents a horizontal compression of this function by a factor of x.

To achieve a horizontal compression of a function, we need to modify its equation. The general form of a horizontally compressed function is y = 1/(kx), where k is the compression factor. In this case, we are given that the compression factor is x.

To determine the correct equation, we need to find a value of k such that kx = 1. Solving this equation for k, we have k = 1/x. Substituting this value of k into the general equation, we get y = 1/((1/x)x), which simplifies to y = 1/(1), or y = 1.

However, we want to find an equation that represents a compression of y = 1/x by a factor of x, not just a horizontal shift. To achieve this, we need to multiply the equation y = 1 by x, resulting in y = 6/x. This equation represents a horizontal compression of y = 1/x by a factor of x, as required. Therefore, the correct answer is (c) y = 6/x.

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Hello and Good Morning/Afternoon

Let's take this problem step-by-step:

Let's consider the information given:

            Total number of pencils = 4 * x = 4x

             Total number of pencils = 4 * (x + 3)

              4(x+3) = 36

Answer: 4(x+3) = 36

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Since Σk=1[infinity] 1/√n^3 converges by the p-series test, we can conclude that the series Σk=1[infinity] 1/ √n^3 +5 converges as well.

We will use the Limit Comparison Test to determine the convergence or divergence of the series Σk=1[infinity] 1/ √n^3 +5.

Let a_n = 1/√(n^3 + 5)

Then, we need to find a series b_n such that:

b_n > 0 for all n

The limit of (a_n/b_n) as n approaches infinity is a positive, finite number.

To find such a series b_n, we can compare a_n to a simpler series that we know converges or diverges. One such series is the series:

Σk=1[infinity] 1/√n^3

which converges by the p-series test with p=3/2.

We know that 0 < a_n < 1/√n^3 for all n, so we can use the inequality:

1/√n^3 + 5 < 1/√n^3

Multiplying both sides by 1/n, we get:

1/n√n^3 + 5/n < 1/n√n^3

1/n^(5/2) + 5/n < 1/n^(5/2)

Let b_n = 1/n^(5/2)

Then, we have:

0 < a_n/b_n < (1/n^(5/2) + 5/n)/1/n^(5/2) = 1 + 5/n^(3/2)

Taking the limit as n approaches infinity, we get:

lim (a_n/b_n) = lim [1/(n^(5/2)√(n^3 + 5))] / (1/n^(5/2))

= lim [(n^(5/2))/(√(n^3 + 5))] = 1

Since 0 < a_n/b_n < 1 + 5/n^(3/2) and lim (a_n/b_n) = 1, we can conclude that the series Σk=1[infinity] 1/ √n^3 +5 and Σk=1[infinity] 1/√n^3 have the same behavior, meaning they both converge or both diverge. Since Σk=1[infinity] 1/√n^3 converges by the p-series test, we can conclude that the series Σk=1[infinity] 1/ √n^3 +5 converges as well.

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By applying independent and disjoint events theory, it can be concluded that A and B are neither disjoint nor independent (option D).

In probability, based on the occurrences, there are two types of events: independent and disjoint events.

Now we observe the data given:

p(a) = 0.3

p(b) = 0.2

p(a and b) = 0.4.

First, we check the independence. Here p(a and b) = 0.4. Whereas, if a and b are independent events, then:

p(a and b) = p(a) * p(b)

                = 0.3 * 0.2

                = 0.06

Since the value is different, we can conclude that events A and B are not independent.

Second, we check whether these events are disjoint events. Since the value of p(a and b) is not 0, these events are disjoint events.

Therefore, we can conclude that a and b are neither disjoint nor independent (option D)

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Answer: 1- function 1 has the greater rate of change but function 2 has the greater y-intercept

Step-by-step explanation:

We know that function 1 is:

y = f₁(x) = 0.75*x - 1

And for the second linear equation we can see that it passes through the points (-3, -1) and (0,1)

Then the slope is:

a = (1 - (-1))/(0 - (-3)) = 2/3

then the equation is something like:

y = f₂(x) = (2/3)*x + b

To find the value of b, we use the fact that when x = 0, we have y = 1.

Then:

1 = (2/3)*0 + b

1 = b

Then the equation for function 2 is:

f₂(x) = (2/3)*x + 1

So the two equations are:

f₁(x) = 0.75*x - 1

f₂(x) = (2/3)*x + 1

Where we can see that function 1 has a greater slope (rate of change) and function two has a greater y-intercept.

Then the correct option is

(1- function 1 has the greater rate of change but function 2 has the greater y-intercept)

show that the foflleing statement and soln

There are tables (4) and (5) represent quadratic relationships.

A quadratic relationship is equivalent to a quadratic formula. These relations are frequently used to determine the height of falling objects, kicked balls, or an arched bridge.

As per table (4), we have

x             y        

0            4          

1            -4  

2           -4  

3            4    

Substitute these points in the graph, we get it represents quadratic relationships.

When plotting the graph of a quadratic relation, always display the significant points, the vertex, and the crossings with the axes.

As per table (5), we have

x             y        

0           -4          

1            -8  

2           -10  

3           -10    

When we substitute these points in the graph, we see that it also shows quadratic relations.

Thus, tables (4) and (5) represent quadratic relationships.

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The complete question has been attached below.

Answer:

288

Step-by-step explanation:

1 foot= 12 inches

24x12=288

Answer:288

Step-by-step explanation:24x12=288 hope this helps

Answer:

Paige's age = 6 years

Ryan's age = 15 years

Quiana's age =  12 years

Step-by-step explanation:

Framing algebraic equations to find the unknown value:

Let age of Paige be 'x'.

Ryan is nine years older than Paige. So, to find Ryan's age add 9 to 'x'.

        Ryan's age = x + 9

As Quiana is 3 years younger than Ryan, subtract 3 from Ryan's age.

       Quiana's age = (x + 9) - 3

                             = x + 9 - 3

                             = x + 6

        Paige's age =  half of Quiana

                      \(x = \dfrac{x + 6}{2}\\\\\text{\bf cross multiply,}\\\\2x = x +6\)

              2x - x   = 6

                       x = 6

Paige's age = 6 years

Ryan's age = 6 + 9

                  = 15 years

Quiana's age = 6 + 6

                      = 12 years

Answer:

The numbers are 4 and 7

Step-by-step explanation:

To start, we can set up two equations.

x + y = 11 and x - y = 3

We now need to solve for one of these variables in terms of the other. I am choosing to solve for x, but either way will work. I'm using the second equation and solving for x by adding y to each side, which gives me

x = 3 + y

Now that I have a value for x, I can plug this into my first equation

3 + y + y = 11

Combining like terms gives me

3 + 2y = 11

Subtracting 3 from both sides leaves

2y = 8

And dividing by 2 to solve for y gets

y = 4

We now know one number, and to solve for the other we can plug our y value into either equation

x + 4 = 11

Subtracting 4 from both sides yields the x value

x = 7

So the two numbers are 4 and 7

Answer:

hope this help byee byee

Answer:

21

Step-by-step explanation:

The slope-intercept form of this line is y = –4x

From the question, we have the following parameters that can be used in our computation:

y = -4x

The above equation is a linear equation

A linear equation in slope intercept can be represented as

y = mx + c

When the equations are compared, we have

m = -4 and c = 0

This implies that the equation is in the required form

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a) 55 people expect to be between 165 and 175 cm.

b) 76 people to be taller than 166 cm.

What is Standard normal distribution?

The standard normal distribution is a special type of normal distribution where the mean is 0, and the standard deviation is 1.

a) To answer this question, we can use the standard normal distribution table to find the proportion of heights that fall within certain ranges of the mean.

The standard normal distribution table gives us the proportion of values within a certain number of standard deviations of the mean.

Since the standard deviation of the heights is 5, we can find the proportion of heights between 165 and 175 cm by looking at the range of values that are one standard deviation below and one standard deviation above the mean.

The mean of the heights is 170, so one standard deviation below the mean is 170 - 5 = 165. One standard deviation above the mean is 170 + 5 = 175. Therefore, the range of heights that are one standard deviation below and one standard deviation above the mean is 165 to 175.

If we look at the standard normal distribution table, we find that approximately 68% of the values fall within one standard deviation of the mean. Since 80 is approximately 68% of 118, we would expect approximately 55 people to have heights between 165 and 175 cm.

Hence, 55 people expect to be between 165 and 175 cm.

b) For the second part of the question, we can find the proportion of heights that are taller than 166 cm by looking at the range of values that are more than one standard deviation above the mean.

The mean of the heights is 170, so more than one standard deviation above the mean is anything greater than 175. If we look at the standard normal distribution table, we find that approximately 95% of the values fall within two standard deviations of the mean.

Since 80 is approximately 95% of 84, we would expect approximately 76 people to be taller than 166 cm.

Hence, 76 people to be taller than 166 cm.

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Answer:

1 : 4

Step-by-step explanation:

There are 10 marbles in a bag 1/5 are red and the others are blue. What is the ratio of red to blue marbles?

Number of red marbles = fraction of red marbles x total number of marbles

1/5 x 10 = 2

Number of blue marbles = total number of marbles - number of red marbles

10 - 2 = 8

ratio of red to blue marbles

2 : 8

To transform to the simplest form. divide both numbers by 2

1 : 4

Answer:

Jayden buys 4 pounds of coffee

Step-by-step explanation:

Let's say that p represents the number of pounds of coffee Jayden bought. She starts with $90, and for each pound she buys, she loses $7.26 dollars. Therefore, as she loses 7.26 dollars, we must subtract the amount she pays from $90. Then, as she loses 7.26 dollars for each pound, we multiply 7.26 by the number of pounds to find the money she spends.

We can thus write our equation as

90 - 7.26*p = final amount = 60.96

90-7.26p = 60.96

subtract 90 from both sides to isolate the p and its coefficient

-7.26p = -29.04

divide both sides by -7.26 to isolate the p

p = 4

Jayden buys 4 pounds of coffee

Step-by-step explanation:

so why you are asking?????

Answer: |-14.6-(-5.2)|

|-12-(-1)| ==> 4th option

Step-by-step explanation:

In order to find the distance between two points, you have to subtract one point from another and take the absolute value of the difference.

|-14.6-(-5.2)|=

|-14.6+5.2|=

|-9.4|=9.4

|-14.6-(-5.2)| ==> |-12-(-1)| ==> 4th option

|-12+1|=

|-11|=11

A critical value, z subscript alpha (zα), denotes the boundary or cutoff point for a statistical test where the level of significance, also known as alpha (α), is set.

A critical value, z subscript alpha (zα), denotes the value at which the probability of observing a test statistic in the tail(s) of the sampling distribution equals the pre-determined significance level (alpha).

The critical value can be defined as the value that is compared with the parameter value in the hypothesis test to determine whether the null hypothesis will be rejected. If the value of the parameter is less than the critical value, the null hypothesis is rejected.

However, if the measured value is higher than the critical value, reject the null hypothesis and accept the alternative hypothesis. In other words, cropping divides the image into acceptable and unacceptable areas. If the value of the index falls within the rejection range, the rejection of the fact is rejected, otherwise the negative hypothesis is rejected.

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Answer:

(10x-2) units

Step-by-step explanation:

The perimeter of a rectangle is 2*length+2*width.

2(3x-4)+2(2x+3)

=6x-8+4x+6

=10x-2

The perimeter of a rectangle is ( 10x - 2 ).

Here,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

We have to find the perimeter of a rectangle.

What is the perimeter of a rectangle?

The sum of two times of length and width is called the perimeter of a rectangle.

Now,

The length of rectangle is (3x - 4) units.

The width of rectangle is (2x + 3) units

Since, The perimeter of a rectangle = 2 (length + width)

Hence, The perimeter of a rectangle = 2(3x - 4 + 2x + 3)

                                                         = 2 (5x -1)

                                                         = 10x - 2

Therefore, The perimeter of a rectangle is ( 10x - 2 ).

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Selecting raffle tickets from a large bowl is an example of probability sampling without replacement.

Probability sampling is a method of selecting a subset of individuals from a larger population in a way that each individual in the population has a known and non-zero probability of being selected for the sample.

Sampling without replacement means that once an individual is selected for the sample, they are removed from the population and cannot be selected again. This is in contrast to sampling with replacement, where an individual can be selected multiple times for the sample.

In the case of selecting raffle tickets from a large bowl, each ticket has a known and non-zero probability of being selected for the sample, and once a ticket is selected, it is removed from the bowl and cannot be selected again. Therefore, this is an example of probability sampling without replacement.

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Answer:

7 square units

Step-by-step explanation:

A = 7 x 2 x 1/2

A = 14 x 1/2

A = 7

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Answer:

2 hours and 55 minutes

Step-by-step explanation:

1/5+1/7-=1/x

12/35=1/x

cross multiply

12x=35

35/12=2 hr 55 mins

Answer:

6450

Step-by-step explanation:

Answer:

6450

Step-by-step explanation:

Multiply the value by 1000.

(6, 8). Substitute the numbers in for x and y and then solve the equation. The coordinates are (x, y).

Answer:

(6,8)

Step-by-step explanation:

\(\\ \sf\longmapsto y=\dfrac{1}{3}x+2\)

\(\\ \sf\longmapsto 8=\dfrac{1}{3}(6)+2\)

\(\\ \sf\longmapsto 8=2+2\)

\(\\ \sf\longmapsto 8\neq 4\)

The time the football is 50 feet above the ground at t = 0.765s and t = 3.923 s

Time is the duration of an event.

Since a football player kicks a football 2 feet above the ground with an upward velocity of 75 feet per second. The function h(t) = -16t² + 75t + 2 gives the height h (in feet) of the football after t second.

To determine when the ball will be 50 feet above the ground, we substitute h(t) = 50 and solve the equation.

So, h(t) = -16t² + 75t + 2

-16t² + 75t + 2 = 50

-16t² + 75t + 2 - 50 = 0

-16t² + 75t - 48 = 0

Dividing through by -1, we have

16t² - 75t + 48 = 0

Using the quadratic formula, we find t

\(t = \frac{-b+/- \sqrt{b^{2} -4ac} }{2a}\)

where

So, substituting the values of the variables into the equation, we have

\(t = \frac{-(-75)+/- \sqrt{(-75)^{2} -4\times16\times48} }{2\times16}\\ = \frac{75+/- \sqrt{5625 - 3072} }{32}\\= \frac{75+/- \sqrt{2553} }{32}\\= \frac{75+/- 50.53 }{32}\\t = \frac{75 + 50.53 }{32} or t = \frac{75 - 50.53 }{32}\\t = \frac{125.53}{32} or t = \frac{24.47}{32}\\t = 3.923 s or t = 0.765s\)

So, the football is 50 feet above the ground at t = 0.765s and t = 3.923 s

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1. The linear function that models his distance from Washington, D.C. as a function of time, in hours, is:

d(t) = 109.5 - 55t.

2. The time it will take him to arrive at a rest stop that is 60.2 miles from Richmond, VA is of: 0.9 hours = 54 minutes.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients of the function and their meaning are described as follows:

In the context of this problem, these parameters are given as follows:

Hence the function is:

d(t) = 109.5 - 55t.

The time it will take him to arrive at a rest stop that is 60.2 miles from Richmond, VA is t when d(t) = 60.2 hence:

60.2 = 109.5 - 55t.

55t = 109.5 - 60.2

t = (109.5 - 60.2)/55

t = 0.9 hours = 54 minutes.

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Answer:

15

Step-by-step explanation:

10.5 x (20/14)=14.99999999999...=15