Differentiate between absolute and relative measure of dispersion

Plug the points into y2-y1/x2-x1

(-10) - (-4)/(-12) - (-20)

you will get A. -3/4

hope this helps !! :)

Writing down the formulas on charts and pasting it in your room,by seeing this daily it helps to memorize the formulas.

Saying the formulas louder also helps to memorize the formula.

Watching videos related to maths formulas and equations helps to remember the formulas easier.

Doing many problems regularly will helps you to remember the formulas.

lastly study to Understand The Formula not to memorize

The value of the a and b will be 6 and 9 feet. Every 2 inches on the scale drawing represents 1.5 feet of the original house.

The process of converting the unit form is known as the unit conversion. For example, in the SI unit system, mass is in kg. While in CGS, it is represented in grams.

The given conversion is ;

\(\rm 2 \ inch = 1.5 \ feet \\\\ 1 inch = \frac{1.5}{2} \ feet\)

For 8, 12 inches, the values in feet is;

\(\rm 8 \times \frac{1.5}{2} = 6 \ feet\)

\(\rm 12 \times \frac{1.5}{2} = 9 \ feet\)

Hence, the value of the a and b will be 6 and 9 feet.

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The value a= 6 and b=9.

The process of converting the unit form is known as the unit conversion.

For example, in the SI unit system, distance is in meter while in CGS, it is represented in cm.

Given that:

2 inch = 1.5 feet

1 inch = \(\frac{1.5}{2}\)

then, 8 inches =\(\frac{1.5}{2} *8\)

                        = 1.5*4

                        = 6 feet

again, 12 inches= \(\frac{1.5}{2} *12\)

                          = 1.5*6

                         = 9 feet

and, 16 inches =\(\frac{1.5}{2} *16\)

                          = 1.5*8

                          = 12 feet

The value of a & b is 6 and 9 respectively.

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Since the given function is

Since the function after transformation is

Then we will find g(x) by substituting f(x) by (x + 4)

Simplify it

a) The transformed equation is

b)

When we change the sign of f(x), that means we made a reflection on the x-axis

i. -f(x) means reflect f(x) about the x-axis

When we add f(x) by a number, then that means we translate the f(x) by a number

ii. +2 means translate the function 2 units up

Both the disc/washer method and the shell method will yield the same result for finding the volume of the solid formed by revolving the region R about the x-axis.

The easier method to apply depends on the specific problem and the shape of the region.

(a) Disc/Washer Method:

To apply the disc/washer method, we would need to integrate the cross-sectional areas of the discs/washers perpendicular to the x-axis. For each x-value, we would find the difference between the outer radius and the inner radius and square it, and then integrate these areas over the range of x-values that define the region R. This method may be easier to apply when the region R is better described using vertical lines and the cross-sections are easier to visualize as discs or washers.

(b) Shell Method:

To apply the shell method, we would integrate the circumferences of cylindrical shells parallel to the x-axis. Each shell's height would be determined by the difference between the upper and lower functions that bound the region R, and its radius would be the x-value at each point. We would integrate these circumferences over the range of x-values that define the region R. This method may be easier to apply when the region R is better described using horizontal lines and the cylindrical shells provide a more intuitive visualization.

In terms of which method is easier to apply, it depends on the specific problem and the shape of the region R. Some regions may be more naturally suited for the disc/washer method, while others may be more suited for the shell method. It is important to consider the symmetry and geometry of the region to determine which method will be easier to set up and evaluate the integral.

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The number of distinct possibilities for the values in the first column of a short bingo card is = 10000

According to the data given in the question,

The middle square is contained with the word = WILD

Number of remaining squares = 24

Total number of choices given to an individual = 4

Number of options provided for each choice made = 10

Let N denote the number of choices,

In order to find the number of choices we will use the following formula,

N = \(Number of options^{Number of choices}\)

N = \(10^{4}\)

N = 10000

Therefore, the number of distinct possibilities for the values in the first column of a short bingo card is = 10000

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Suppose a large shipment of microwave ovens contained 10% defectives. If a sample of size 236236 is selected, what is the probability that the sample proportion will differ from the population proportion by less than 3%?

Solution:Population proportion: p = 10% = 0.10 Sample size: n = 236236 The sample proportion is given by the formula:

\($\hat{p}=\frac{x}{n}$\)

where x is the number of defectives in the sample.

Now, we have, \($$E=\left|p-\hat{p}\right|<0.03$$\) Expanding, we get\(, $$|0.10-\hat{p}|<0.03$$\) Simplifying the above inequality, we get, \($$0.07<\hat{p}<0.13$$\) The standard error of the sample proportion is given by the formula: \($$\sqrt{\frac{p\left(1-p\right)}{n}}$$\) Substituting the given values,

we get, \($$\sqrt{\frac{0.10\left(0.90\right)}{236236}}$$$$=0.001583$$ Thus, the required probability is given by, $$P\left(0.07<\hat{p}<0.13\right)$$\)

\($$=P\left(\frac{0.07-0.10}{0.001583}<\frac{\hat{p}-0.10}{0.001583}<\frac{0.13-0.10}{0.001583}\right)$$$$=P\left(-18.918)\)

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To extend the function f(s) = (s³ - 27)/(s² - 9) to be continuous at s = 3, we define f(3) = 9/2. This ensures that the function remains continuous at s = 3.

To define f(3) in a way that extends the function f(s) = (s³ - 27)/(s² - 9) to be continuous at s = 3, we need to evaluate the limit of the function as s approaches 3.

Taking the limit as s approaches 3, we have:

lim(s->3) (s³ - 27)/(s² - 9)

This is an indeterminate form of 0/0, so we can apply L'Hôpital's rule by taking the derivative of the numerator and denominator:

lim(s->3) [(3s²)/(2s)] / [2s/(2s)] = lim(s->3) (3s²)/(2s)

Now we can substitute s = 3 into the expression:

lim(s->3) (3(3)^2)/(2(3)) = lim(s->3) 9/2 = 9/2

Therefore, we can define f(3) = 9/2 to extend the function f(s) = (s³- 27)/(s² - 9) and make it continuous at s = 3.

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The elevation of the Lucas Oil Stadium is 40735ft

We should know that elevation is defined as the Height of a geographic location above a fixed reference point

31 NFL stadium ranges from 3ft to 5280ft at Mecedez Benz Superdome, New Orleans, Louisiana

The elevation of the sports Authority field at mile high is 275

= 275+7(5280)ft

Multiplying the brackets, we have

275+40460ft

Adding up to get

40735ft

In conclusion, the elevation of Lucas Oil Stadium is 40730ft

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Answer:

y ≥ 1   or   y ≤ -2.4

Explanation:

| 10y + 7 | ≥ 17

---------------------

\(\sf {Apply\:absolute\:rule}:\quad \mathrm{If}\:|u|\:\ge \:a,\:a\: > \:0\:\mathrm{then}\:u\:\le \:-a\:\quad \mathrm{or}\quad \:u\:\ge \:a\)

-------------------------

-------------------------

Math SAT scores explain about 98.7% of the variation in the total SAT scores.

In statistics, correlation or dependence exists as any statistical relationship, whether causal or not, between two random variables or bivariate data.

A correlation exists as a statistical measure (expressed as a number) that defines the size and direction of a relationship between two or more variables. A correlation between variables, however, does not automatically mean that the change in one variable exists as the cause of the change in the values of the other variable.

Since r² exists = (0.9935)² = 0.9870, we interpret r² as 98.7% of the variation in the y variable exists explained by the x variable.

In context, math SAT score explains about 98.7% of the variation in total SAT score.

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When an inequality is multiplied or divided by a negative number, the inequality sign will flip, meaning it will change its direction. For example, if you have a > b and you multiply or divide both sides by a negative number, the inequality will become a < b. This is because the relationship between the values reverses when multiplied or divided by a negative number.

Explanation:

When an inequality is multiplied or divided by a negative number, the direction of the inequality sign is flipped. This is because multiplication or division by a negative number, results in a reversal of the order of the numbers on the number line.

To see why this happens, consider the following example:

Suppose we have the inequality x < 5. If we multiply both sides of this inequality by -1, we get -x > -5. Notice that we have flipped the inequality sign from "<" to ">". This is because multiplying by -1 changes the sign of x to its opposite, and also changes the sign of 5 to its opposite, resulting in a reversal of the order of the numbers on the number line.

Similarly, if we divide both sides of the inequality x > 3 by -2, we get (-1/2)x < (-3/2). Here, we have again flipped the inequality sign from ">" to "<". This is because dividing by a negative number also changes the order of the numbers on the number line.

In general, if we have an inequality of the form a < b or a > b, where a and b are real numbers, and we multiply or divide both sides by a negative number, we obtain:

If we multiply by a negative number, the inequality sign is flipped. For example, if a < b and c < 0, then ac > bc.

If we divide by a negative number, the inequality sign is also flipped. For example, if a > b and c < 0, then a/c < b/c.

Therefore, it is important to be mindful of the signs of the numbers involved when performing operations on inequalities. If we multiply or divide by a negative number, we must flip the direction of the inequality sign accordingly.

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Answer:

no

Step-by-step explanation:

because -3/4- 5/7= -41/28 and when simplified it is -1 13/28

Answer: Yes

Step-by-step explanation: Simply multiply the numerators and denominators separately:

Answer:

Step-by-step explanation:

Use the slope formula=

y2-y1 / x2-x1

the answer is

(-1,8)

a)  The 80% confidence interval for the population mean crime rate is (53.99, 74.41) crimes per 1000 population.

b) With a crime rate of 57 crimes per 1000 population in one neighborhood, it falls within the 80% confidence interval for the population mean crime rate. .

c) With a crime rate of 75 crimes per 1000 population in another neighborhood, it is above the upper bound of the 80% confidence interval for the population mean crime rate.

a) To compute the margin of error (E) for an 80% confidence interval, we use the formula E = z * (s / sqrt(n)), where z is the critical value for an 80% confidence level, s is the standard deviation of the sample, and n is the sample size. The critical value for an 80% confidence level can be found using a standard normal distribution table. The margin of error is calculated to be approximately 10.21 crimes per 1000 population.

To compute the 80% confidence interval for the population mean crime rate, we use the formula CI = (* - E, * + E), where * is the sample mean and E is the margin of error. Substituting the values, we get the confidence interval of (53.99, 74.41) crimes per 1000 population.

b) By comparing the crime rate of 57 crimes per 1000 population in one neighborhood with the confidence interval (53.99, 74.41), we see that it falls within the range. This indicates that the crime rate in this neighborhood is not necessarily below the average population crime rate. Therefore, it would require further analysis to determine if fewer patrols could safely be assigned based solely on the crime rate.

c) The crime rate of 75 crimes per 1000 population in another neighborhood is above the upper bound of the 80% confidence interval (74.41). This suggests that the crime rate in this neighborhood may be higher than the population average. It may be recommended to consider assigning more patrols to this neighborhood, as the higher crime rate indicates a potential need for increased security measures. However, other factors should also be taken into account before making a final decision.


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To estimate the number of new users that would be added during time period 7, we can use the Bass diffusion model, which is commonly used to model the adoption of new products or technologies.

The Bass diffusion model is given by the formula:

\(\[N(t) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot t)}}}\]\)

where:

- N(t) represents the cumulative number of adopters at time \(t\).

- p is the innovation parameter, representing the coefficient of innovation.

- q is the imitation parameter, representing the coefficient of imitation.

- e is the base of the natural logarithm.

Given a population size of 67 million, an innovation parameter of 0.005, and an imitation parameter of 0.84 for Color TV, we can substitute these values into the Bass diffusion model and calculate the number of new users added during time period 7.

\(\[N(7) - N(6) = \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 7)}}} - \frac{{p \cdot q}}{{q + (p/q) \cdot e^{-((p+q) \cdot 6)}}}\]\)

Substituting the given values into the equation:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

Evaluating the expression will give us the estimated number of new users added during time period 7.

In LaTeX, the solution can be represented as:

\(\[N(7) - N(6) = \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 7)}}} - \frac{{0.005 \cdot 0.84}}{{0.84 + (0.005/0.84) \cdot e^{-((0.005+0.84) \cdot 6)}}}\]\)

After evaluating this expression, you will obtain the estimated number of new users added during time period 7.

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The percentage of the observations that lie between 9 and 25 is 57.79%

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

Mean, x = 24

Standard deviation, SD = 5

The z-scores are then calculated as

z = (x - X)/SD

So, we have

z = (9 - 24)/5 = -3

z = (25 - 24)/5 = 0.2

The percentage that lie between 9 and 25 is

P = P(-3 < z < 0.2)

Using the table of z-scores, we have

P = 57.79%

Hence, the percentage is 57.79%

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Question

A quantitative data set has mean 24 and standard deviation 5. Approximately what percentage of the observations lie between 9 and 25?

Answer:

I think the answer is 278.85

Step-by-step explanation:

Answer:

278.85

Step-by-step explanation:

Answer:

Answer:

1. B 130 2/3ft^3

2. B 226 in^3

3. B 33 cm^3

4. A 4 m

5. D 15m

Step-by-step explanation:

I got a 100! For connexus students, hope this helps!!

The amount owed in 20 years is $712.08.

Compound interest simply refers to the fact that an investment, loan, or bank account's interest accrues exponentially over time as opposed to linearly over time. The word "compound" is crucial here.

Compound interest is when you receive interest on both your interest income and your savings.

Given:

P= $325

R= 4%

n= total years = 20 year

So, A = P \((1+ r)^n\)

A = 325 \((1+ 4/100)^{20\)

A = 325  \((1+ 0.04)^{20\)

A = 325 x 2.191

A = 712.08

Hence, the amount is $712.08

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The correct statement relating the solutions to the system of equations is given as follows:

Infinitely many solutions.

The system of equations in the context of this problem is defined as follows:

From the first equation, we have that:

6y = -3x

y = -0.5x.

Replacing into the second equation, the value of x is given as follows:

x + 2(-0.5)x = 0

x - x = 0

0 = 0.

As 0 = 0 is a statement that is always true, the system has an infinite number of solutions.

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Answer:

Step-by-step explanation:

A number, a variable, or the product of a number and variable(s)

A letter used to represent an unknown number

The number in front of a variable in a term

A single term, multiple terms connected by an addition or subtraction sign

A number, a term containing no variables

In the case of F = 5, the resulting value of C = -15 indicates that it is a very cold temperature in Celsius.

To convert degrees Fahrenheit (F) to degrees Celsius (C), you can use the formula C = (5/9) * (F - 32). Let's apply this formula to find C for F = 5.

Substituting the given values into the formula, we have:

C = (5/9) * (5 - 32)

  = (5/9) * (-27)  [subtracting 32 from 5]

  = -135/9

  = -15

Therefore, when F = 5, the equivalent temperature in degrees Celsius is -15.

The formula for converting Fahrenheit to Celsius is derived from the relationship between the two temperature scales. In this formula, 32 represents the freezing point of water in Fahrenheit, and 5/9 is the conversion factor to adjust for the different scale intervals between Fahrenheit and Celsius.

By subtracting 32 from the Fahrenheit temperature and then multiplying it by 5/9, we account for the temperature offset and convert it to the Celsius scale.

The resulting value represents the temperature in degrees Celsius.

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Answer: 2592

Step-by-step explanation:

Product means to multiple.

Since product means to multiple, we multiple 54 x 48 to get 2592

Step-by-step explanation: If you multiply 54 x 48, you get 2592.
===================================================================Hope this helped!
- bucketsarecool

Answer:

9.42

Step-by-step explanation:

Volume of cylinder= πr^2h

Answer:

37.68 yd

Step-by-step explanation:

= \(\pi\)r²h

= (3.14)(1)²(12)

= 3.14 x 1 x 12

= 3.14 x 12

= 37.68 yd

To find h'(5), we need to apply the chain rule. Given that g(5) = -3, g'(5) = -4, f(-3) = -1, and f'(-3) = -5, we  calculate the derivative of h(x) at x = 5. Therefore, h'(5) = 20

Using the chain rule, we have:

h'(x) = f'(g(x)) * g'(x).

To find h'(5), we substitute x = 5 into the equation:

h'(5) = f'(g(5)) * g'(5).

Given g(5) = -3, g'(5) = -4, f(-3) = -1, and f'(-3) = -5, we substitute these values into the equation:

h'(5) = f'(g(5)) * g'(5) = f'(-3) * g'(5) = (-5) * (-4) = 20.

Therefore, h'(5) = 20

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Answer: (x , y) = (3, -2)

Step-by-step explanation:

Answer:

y = -3x

Step-by-step explanation:

We can see that the given line:

\(y - 1 = -3(x - 2)\)

is in point-slope form:

\(y-b = m(x-a)\),

where \((a,b)\) is a point on the line.

Using this knowledge, we can identify the slope as \(m = -3\).

Parallel lines have the same slope. Therefore, to answer this question, we can create any line in slope-intercept form with a slope of -3.

One answer could be:

y = -3x

Answer: To find the smallest number of stamp boxes and envelope boxes that Cindy should purchase to have exactly one envelope first, we need to determine the least common multiple (LCM) of 6 and 21.

The LCM is the smallest multiple that both numbers have in common.

Prime factorize each number to find the LCM:

6 = 2 * 3

21 = 3 * 7

The LCM is the product of the highest powers of all the prime factors:

LCM = 2 * 3 * 7 = 42

Therefore, Cindy should purchase 42 boxes of stamps and 42 boxes of envelopes in order to have exactly one envelope first.