hey can anyone help me?

As per the sampling technique, Let us consider what you know about the sampling distribution of the sample proportion. this sampling distribution will have a center equal to the population proportion, or p.

Here we have to find  what you know about the sampling distribution of the sample proportion. This sampling distribution will become more variable as the sample size increases.

Here for the given question, let us check all the given statements in the options

Here we know that the shape is approximately normal. Then the given option will be false.

Next, it is collection of all samples taken from the population, So the given option will be false

Now, we have to check as the sample size increases, the value of n increases. here n is the value on the denominator of the equation of standard deviation.

Therefore, due to an increase in the value of n, then there will be decreases in the standard deviation.

Then the less standard deviation means a small variance.

Therefore, as a result, as the sample size grows, the variation will be minimal.

So, the center is the same as the sample proportion p.

Therefore, this is correct.

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The lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

The mid-range or mid-extreme is the arithmetic mean of the highest and minimum values of the data set and is used in statistics as a measure of a sample's central tendency.

The difference between the greatest and minimum values, which is a measure of statistical dispersion, is strongly related to the mid-range.

The two measurements are complementary in that one can determine the sample's maximum and minimum values by knowing the range and the midpoint.

Therefore, the lowest and greatest values in the dataset, divided by two, make up the Mid-range. Thus, this provides us with the midrange value.

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Answer:

x = -3.5 and y = -5.5

Step-by-step explanation:

y = x - 2 and y = 3x + 5

so x - 2 = 3x + 5

subtract one x from both sides:

-2 = 2x + 5

subtract 5 from both sides:

-7 = 2x

solve for x:

2x = -7, x = -3.5.

now find y:

y = x - 2 = -3.5 - 2 = -5.5

a) The size of each payment = $8718.4

b) The the total amount paid for the purchase = $204620.8

c) The total interest paid over the life of the loan = $104620.8

In this question we have been given that a man buys a house for $175,000. He makes a $75,000 down payment and amortizes the rest of the debt with semiannual payment sover the next 10 years. The interest rate on the debt is 12%, compounded semiannually.

We need to find the size of each payment, the total amount paid for the purchase and the total interest paid over the life of the loan.

From given data we get 175,000 - 75,000 = $100,000 amount to finance.

We know that the formula for semiannual payment of a loan,

C = PV/[1 - (1 + r)^-t / r]

Here, PV = $100,000

t = 20 (10 years times 2 payment per year)

r = 0.06 (12% annual. so, we divide by 2 to get semiannual)

So, C = 100,000/[1 - (1 + 0.06)^-20 / 0.06]

C =  100,000/[0.6882 / 0.06]

C = 100,000/11.47

C = $8718.4

The total interest paid will be the cuota times the time of the loan:

Total interest paid:

8718.4 x 12 = 104620.8

And the total amount paid over the life of the loan = 104620.8 + 100,000

                                                                                    = $204620.8

The interest will be the difference between the total amount paid and the principal of the loan

Therefore, Interest paid = $8718.4

total payment   = $204620.8

principal = $100,000

Interest expense = $104620.8

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A cardioid is a mathematical curve that is commonly studied in geometry and calculus. It is defined by the equation r = 1 + cos(θ), where r is the radial distance from the origin and θ is the polar angle. The cardioid has a distinctive heart-shaped form, and it is a smooth curve that can have tangent lines at certain points.

Horizontal Tangent Line:

A horizontal tangent line is a tangent line that is parallel to the x-axis. To find the points on the cardioid at which there is a horizontal tangent line, we need to find the points where the derivative of the curve is equal to zero in the x direction. The derivative of r = 1 + cos(θ) with respect to θ is -sin(θ), and the derivative of r with respect to x is cos(θ). Setting these two derivatives equal to zero, we have:

-sin(θ) = 0

cos(θ) = 0

The first equation has a solution when θ = n * π, where n is an integer. The second equation has solutions when θ = (2n + 1) * π/2, where n is an integer. When θ = n * π, the cardioid is at its maximum value, and when θ = (2n + 1) * π/2, the cardioid is at its minimum value. These points correspond to horizontal tangent lines on the cardioid.

Vertical Tangent Line:

A vertical tangent line is a tangent line that is perpendicular to the x-axis. To find the points on the cardioid at which there is a vertical tangent line, we need to find the points where the derivative of the curve is equal to zero in the y direction. The derivative of r with respect to y is sin(θ), and setting this derivative equal to zero, we have:

sin(θ) = 0

This equation has solutions when θ = (2n) * π/2, where n is an integer. These points correspond to vertical tangent lines on the cardioid.

Singular Point:

A singular point is a point on the curve at which the curve is not smooth and its tangent line is undefined. To find the singular points on the cardioid, we need to find the points where the second derivative of the curve is equal to zero. The second derivative of r = 1 + cos(θ) with respect to θ is -cos(θ), and setting this derivative equal to zero, we have:

-cos(θ) = 0

This equation has solutions when θ = n * π, where n is an integer. These points correspond to singular points on the cardioid.

In conclusion, the points on the cardioid at which there is a horizontal tangent line are given by θ = n * π and θ = (2n + 1) * π/2. The points at which there is a vertical tangent line are given by θ = (2n) * π/2. The singular points are given by θ = n * π. These points can be used to study the properties and behavior of the cardioid in more detail.

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Answer: r = -39

Step-by-step explanation:

The probability of drawing a queen first and then a heart second without replacement is 1/51.

In this case, the probability of drawing a queen first and then a heart second is:

P(Queen and Heart) = P(Queen) * P(Heart | Queen)

The probability of drawing a queen first is 4/52, since there are 4 queens in a standard deck of 52 cards. The probability of drawing a heart second, given that a queen has already been drawn, is 13/51, since there are 13 hearts in the deck and now only 51 cards remaining after the first draw.

Therefore, the probability of drawing a queen first and then a heart second without replacement is:

P(Queen and Heart) = (4/52) * (13/51) = 52/2652 = 1/51

So the probability of drawing a queen first and then a heart second without replacement is 1/51.

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Answer:

(2,0)

Step-by-step explanation:

   2 (x + 2y) = (2)

      2x + 4y = 4

-    2x + 5y = 4

-1y = 0

y = 0

2x + 5(0) = 4

2x = 4

x = 2

Answer:

x=2 y=0

Step-by-step explanation:

solve for y

x+2y=2

x=2-2y

2(2-2y)+5y

4-4y+5y=4

4+y=4

y=0

plug into equation

2x+5(0)=4

x=2

and

x+2(0)=2

x=2

Answer:

Factor theorem: \(f(-5) = 0\).

Synthetic division: \(f(x) = (x + 5)\, (2\, x^2 -3\, x + 1)\).

Step-by-step explanation:

By the factor theorem, a monomial of the form \((x - a)\) (where \(a\) is a constant) is a factor of polynomial \(f(x)\) if and only if \(f(a) = 0\).

In this question, the monomial is \((x + 5)\), which is equivalently \((x - (-5))\). \(a = -5\).

\(\begin{aligned}& f(-5) \\ &= 2 \times (-5)^{3} + 7 \times (-5)^{2}- 14\times (-5) + 5\\ &= -250 + 175 + 70 + 5 \\ &= 0\end{aligned}\).

Hence, by the factor theorem,  \((x + 5)\), which is equivalent to \((x - (-5))\), is a factor of \(f(x)\).

\(\begin{aligned}& f(x) \\ &= 2\, x^{3} + 7\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} - 3\, x^{2} - 14\, x + 5 \\ &= \underbrace{(x + 5) \, (2\, x^2)}_{2\, x^{3} + 10\, x^{2}} + \underbrace{(x + 5)\, (-3\, x)}_{-3\, x^{2} - 15\, x} + (x + 5) \\ &= (x + 5)\, (2\, x^{2} - 3\, x + 1)\end{aligned}\).

The remainder is \(0\) when dividing \(f(x)\) by \((x + 5)\). Hence, \((x + 5)\!\) is a factor of \(f(x)\!\).

Answer:

The last choice.

Step-by-step explanation:

the domain would be the x values and the x values would be the number of hours.  The minimum number of hours would be 4 or more.

Answer:

98 is ur answer

xd hope it help u :)

By using Pythagorean identities the expression can be written as

         -8 (sin ( x ) + 1 -sin 2x)

The Pythagorean identity is an important identity in trigonometry derived from the Pythagorean theorem. These identities are used to solve many trigonometric problems where, given a trigonometric ratio, other ratios can be found. The basic Pythagorean identity, which gives the relationship between sin and cos, is the most commonly used Pythagorean identity:

sin2θ + cos2θ = 1 (gives the relationship between sin and cos)

There are two other Pythagorean identities as follows :

sec2θ - tan2θ = 1 (gives the relationship between sec and tan)

csc2θ - cot2θ = 1 (gives the relationship between csc and cot)

Given expression is:

-8tanx/ 1 +tan2x

we know that:

By the Pythagorean Theorem:

1 + tan²x = sec²x

and tan x = sin x/cos x

and, sec x = 1/cos x

Now, we can write as:

   -8tanx / 1 +tan²x

= -8 tan x / sec²x

= -8 sin x /cos x ÷ 1/cos²x

= -8 sin x/cos x × cos²x/1

= -8 (sin ( x ) + 1 -sin 2x)

Complete Question:

Use appropriate identities to rewrite the following expression in terms containing only first powers of sine:

−8tan 1 + tan2x.

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Answer:

No relationship

Step-by-step explanation:

The linear function which represents the total cost would be c = 40 + 60h.

What is the linear function?

A linear function is a type of mathematical function that maps a set of input values (the domain) to a set of output values (the range) in such a way that the relationship between the input and the output values is represented by a straight line. In other words, linear functions produce outputs that change linearly with their inputs.

The total cost, c, of an electrician's services can be represented by a linear function. This function takes into account the base fee of $40 and an additional fee of $60 per hour worked, h. The linear function can be expressed as c = 40 + 60h. This equation shows that for every hour worked, the total cost will increase by $60. The $40 base fee remains constant regardless of the number of hours worked. The slope of this linear function is 60, which represents the rate of change in the cost per hour worked. The y-intercept, 40, represents the total cost when no hours have been worked, or when h = 0.

Hence, the linear function which represents the total cost would be c = 40 + 60h.

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Therefore, the total number of flowers in Flora's garden is: 504 + 90 + 40 + 30 + 100 = <<504+90+40+30+100=764>>764 flowers.

The word "total" refers to the addition of numbers or the destruction of something, and a total represents an entire or complete sum. Eight times eight equals sixteen.

Flora has 7 rows with 8 roses in each row, so she has a total of 7 x 8 = <<78=56>>56 roses.

Each rose bush has 9 flowers in bloom, so she has a total of 56 x 9 = <<569=504>>504 rose flowers.

Flora also has 10 rows of 9 sunflowers each, so she has a total of 10 x 9 = <<109=90>>90 sunflowers.

Each sunflower bush has only 1 flower, so she has a total of 90 x 1 = <<901=90>>90 sunflower flowers.

Flora also has five rows with eight violets on each row, giving her a total of five by eight or 58 or 40 violets.

It has a total of forty x 1 = 401=40>>40 violet blooms since each violet bush only bears one flower.

Flora has also 6 rows, each with 5 petunias, giving her an total of 6 × 5 = 65=30 petunias.

There are only one flowers on each petunia bush, giving her a total number 30 x 1 = 301=30.

thirty petunias. Last but not least, Flora gets 10 rows or lilies for each row, giving her an total of 10 × 10 = 1010=100 lilies.

As there is just one flower on each lily bush, she does have a grand total of 100 × 1 = 1001=100. a hundred lilies.

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Answer:

i think 90

Step-by-step explanation:

No of boys = 40%

let total no. of children be as "x"

now, 40% of x= 2x/5.

and since boys differ girls by 18.

no. of girl would be x-2x/5=3x/5.

now No. of boys= 2x/5

and no. of girls= 3x/5

no. of total children would then be as = 3x/5 - 2x/5= 18

The value of "X" would then be as = 90

To find no. of boys we would do 2x/5 X 90= 36

and no. of girls = 3x/5 X 90= 54.

to prove my answer 54-36= 18

Hope it helps C":

Suppose there are X children at the childcare.

Thus :

boys + girls = X

__________________________

40% of the children are boys .

Thus :

There are 40/100 × X boys .

So : boys = 0.4X (( Ω ))

__________________________

There are 18 more girls than boys

Thus :

girls - boys = 18

girls - ( 40/100 X ) = 18

girls - 0.4X = 18

Add sides 0.4X

girls - 0.4X + 0.4X = 18 + 0.4X

girls = 18 + 0.4X (( μ ))

__________________________

Now It's time to put (( μ ))

and (( Ω )) in the above equation.

boys + girls = X

0.4X + 18 + 0.4X = X

0.8X + 18 = X

Subtract sides 0.8X

- 0.8X + 0.8X + 18 = 1X - 0.8X

18 = 0.2X

0.2X = 18

Divided sides by 0.2 (( 2/10 ))

2/10 ÷ 2/10 × X = 18 ÷ 2/10

X = 18 × 10/2

X = 18 × 5

X = 90

Thus there are 90 children at the childcare.

Done.....♥️♥️♥️♥️♥️

The criterion for "best fitting" is:

A line that results in the least squared error between the data points and the line.

What is a regression equation?

Regression analysis is a statistical approach for assessing the relationship between two variables. The regression equation is meant to be the best fitting straight line for a set of data. Linear regression analysis is one of the most commonly used methods of regression analysis, which is why we will focus our attention on it. In order to identify the equation for the line of best fit, a technique called the least squares criterion is utilized.

What is the least square criterion?

The least squares criterion is a technique for selecting the regression line that is the best fit for the data. The least squares criterion specifies that the regression line should be drawn such that the total squared distance between the observed data points and the regression line is as small as possible. In other words, the goal of the least squares criterion is to reduce the variance of the regression line so that the line is as close as possible to the actual observed data.

The regression equation is meant to be the best fitting straight line for a set of data. The best fitting line is determined by selecting the line with the least amount of error. The line that results in the least squared error between the data points and the line is the one that best fits the data set.

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The statement that is true about the polygons is: the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle.

An circumscribed quadrilateral is a quadrilateral whose four side lie tangent to the circumference of a circle. The opposite angles in an inscribed quadrilateral are supplementary, that is, when added together, their sum equals 180 degrees.

From the two figures given, the opposite angles of the rectangle are supplementary, therefore, a circle can be circumscribed about the rectangle. (Option D).

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The sample's data values ought to be unrelated to one another. The sample data need to be consistent. Data from the quantitative ordered pair sample should be gathered at random or in a way that is representative of the overall population. The sample's data values ought to be unrelated to one another.

A confidence interval is a much better tool to use if we wish to communicate the level of uncertainty surrounding our point estimate (CI). A confidence interval (CI) is a symmetrical range of values where the results of repeated, related experiments are likely to fall. The middle of this range corresponds to our point estimate.

Confidence intervals, which describe how closely study results match reality or how dependable they are based on statistical theory, are regularly mentioned in scientific publications.

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The scaling assumptions underlying a question determine which descriptive measure is appropriate.

The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.

A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.

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It is possible to determine the theoretical probability of an occurrence without doing the event itself. A number cube has 6 alternative outcomes, giving each one a theoretical probability of 1 out of 6.

For example, the likelihood of drawing an ace at random is 4 out of 52 since there are 4 aces in a deck of cards. The probability of hitting a double bullseye on a regular dartboard is roughly 78 out of 100,000 because the area of the double bullseye in the center is 0.078% of the dartboard's overall area.

The likelihoods of potential possibilities are instead calculated using the frequencies of past outcomes in empirical probability. They are merely projections. The empirical chance of rolling a 4 or a 5 on the following roll is 58 out of 96 since you rolled 4s and 5s more often than any other number when you rolled the number cube.

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Answer: 1/6 is the probability

To find D60 and D10 from a Grain Size Distribution Curve in Excel, you need to first plot the curve using the grain size data.

You can then find D60 and D10 by calculating the cumulative percent finer and finding the corresponding grain size for 60% and 10% respectively.

To do this, you can use the formula =INDEX(grain size data, MATCH(cumulative percent finer value, cumulative percent finer data, 1)) to find the corresponding grain size value. Repeat the process for both D60 and D10 to find their values.

This can be done using an Excel spreadsheet or a specialized soil science software.

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A flow network with supplies is a directed capacitated graph where each edge has a capacity indicating the maximum flow that can pass through it. The flow in the network represents the movement of a certain resource (e.g., water, electricity, goods) from sources to sinks.

In a flow network with supplies, there may be multiple sources, which are nodes that generate the resource and have outgoing edges, and multiple sinks, which are nodes that consume the resource and have incoming edges.

The sources and sinks can have different supply or demand values, indicating the amount of resource they generate or consume.

The edges in the flow network have capacities that restrict the maximum flow that can pass through them. The capacity represents the limit on the amount of resource that can traverse the edge. The flow through an edge cannot exceed its capacity.

The objective in a flow network is to determine the maximum flow that can be sent from sources to sinks while respecting the capacities of the edges. This is typically solved using algorithms such as the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm.

The concept of a flow network with supplies is important in various applications, such as transportation networks, communication networks, and supply chain management, where resources need to be efficiently distributed from multiple sources to multiple sinks, taking into account the capacity constraints of the network.

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There are many shapes that can be similar, but there are three specific shapes that are always similar to one another:

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Therefore, the margin of error, rounded to two decimal places, is approximately 2.27.

To find the margin of error for a random sample, we can use the formula:

Margin of Error = Critical Value * (Standard Deviation / sqrt(Sample Size))

Given:

Sample Size (n) = 150

Test Score Average (Sample Mean) = 70

Standard Deviation (σ) = 10.8

Confidence Level = 0.99

First, we need to find the critical value associated with the confidence level. For a 99% confidence level, the critical value can be found using a standard normal distribution table or a calculator. The critical value corresponds to the z-score that leaves a tail probability of (1 - confidence level) / 2 on each side.

Using a standard normal distribution table or a calculator, the critical value for a 99% confidence level is approximately 2.576.

Now, we can calculate the margin of error:

Margin of Error = 2.576 * (10.8 / sqrt(150))

Calculating the square root of the sample size:

sqrt(150) ≈ 12.247

Margin of Error ≈ 2.576 * (10.8 / 12.247)

Margin of Error ≈ 2.27

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A survey asked 1000 recently retired people about the number of different vehicles they owned during their working lives. The goal is to find the mean and standard deviation of the probability distribution based on the collected data.

To calculate the mean and standard deviation of the probability distribution, the data collected from the survey can be analyzed using Excel. The probability distribution table represents thre fequency distribution of the number of vehicles owned. Each value of the number of vehicles owned corresponds to a specific probability.

In Excel, the mean can be calculated by multiplying each value by its corresponding probability, summing up the products, and dividing by the total number of values. This yields the average number of vehicles owned.

The standard deviation can be calculated by using the formula =STDEV.P(range), where the range is the data set of the number of vehicles owned. This formula calculates the standard deviation of a population, assuming that the data represents the entire population of retired individuals.

By applying these calculations in Excel, rounding the results to three decimal places, the mean and standard deviation of the probability distribution can be determined.

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Answer:

This is your answer ☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Answer:

The pythagorean theorem is used to find the length of a missing side of a right triangle. The answer for b in the problem is 12.

Step-by-step explanation: