Assume that a sample is used to estimate a population proportion μ. Find the margin of error M.E. that corresponds to a sample of size 10 with a mean of 33.7 and a standard deviation of 13.3 at a confidence level of 95%. Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. = _________ Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

14:3 is the ratio of the total number of paper clips to the number of red paper clips, given there are 3 red paper clips, 5 yellow paper clips, and 6 silver paper clips in a jar.

Red paper clips= 3

yellow paper clips= 5

silver paper clips = 6

Total paper clips= 3 + 5 +  6 = 14

An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0.

3 red, 5 yellow, and 6 silver paper clips combined to make a total of 14 paper clips. Three red clips are present. Since the ratio of total paper clips to red paperclips is being requested, total paperclips are entered first in the ratio, followed by red paperclips.

The ratio of the total number of paper clips to the number of red paper clips+ 14/6 =  14:3

Hence, 14:3 is the ratio of the total number of paper clips to the number of red paper clip

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Answer:

Choice C

Step-by-step explanation:

A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.

Choice A:

\(1^{+3},4^{+1},5^{+4},9^{+5},14\)

Nope that's not what we're looking for.

Choice B:

\(3^{+3},6^{+3},9^{+3},12^{+3},15\)

This would be a perfect arithmetic sequence but not the type of sequence we are looking for.

Choice C:

\(6^{*3},18^{*3},54^{*3},162\)

Yes! See how this one is multiplying by 3 and not adding or subtracting.

Choice D:

\(3^{+2},5^{+3},8^{+5},13^{+7},21\)

Nope this is not it either.

If we want to provide a 95% confidence interval for the mean of a population, the confidence coefficient will be: D. .95.

A confidence interval is also referred to as level of confidence and it can be defined as a range of estimated values that defines the probability that a population parameter would fall or lie within it.

For instance, the confidence interval at 95% is given by p - E < p < p + E

Since the confidence interval for the mean of a population is at 95%, the confidence coefficient would be calculated by simply dividing the confidence interval by 100:

Confidence coefficient = 95/100

Confidence coefficient = 0.95

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The measure of angle c is 70 degrees.

If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.

Given:

Measure of angle a = 10x + 10

Measure of angle b = 20

We can set up the equation:

(10x + 10) + 20 = 90

Simplifying the equation:

10x + 30 = 90

Subtracting 30 from both sides:

10x = 60

Dividing both sides by 10:

x = 6

Now, we have found the value of x to be 6.

To find the measure of angle c, we can substitute the value of x into the equation for angle a:

Measure of angle a = 10x + 10

Measure of angle a = 10(6) + 10

Measure of angle a = 60 + 10

Measure of angle a = 70

As a result, angle c has a measure of 70 degrees.

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The sum of first 20 multiples of 7 will be 1470.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given are first 20 multiples of 7.

The sequence of first 20 multiples of 7 will be -

7, 14, 21, 28, ..... , 140

Sum = (20/2)[2 x 7 + (19) x 7]

Sum = 10[14 + 133]

Sum = 10 x 147

Sum = 1470

Therefore, the sum of first 20 multiples of 7 will be 1470.

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[Question translation in english -

find the sum of the first 20 multiples of 7 with procedure.]

From the graph of the function, the ball is higher than the building (400 feet) between the interval (0, 4)

An equation is an expression that shows how numbers and variables are related to each other using mathematical operators.

Let h represent the height of the ball after spending t seconds. A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s.

Given the equation:

h(t) = -16t² + 64t + 400

From the graph of the function, the ball is higher than the building (400 feet) between the interval (0, 4)

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Answer:

C

Step-by-step explanation:

For edge

The exponential equation is given by the expression A = 2¹²

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the exponential equation be represented as A

Now , the value of A is

A = 16³   be equation (1)

Now , the value of 16 = 2⁴

So , from the laws of exponents , we get

( mᵃ )ᵇ = mᵃᵇ

And , 2⁴⁽³⁾ = 2⁴ˣ³

And , the value of A = 2⁴ˣ³ = 2¹²

Hence , the expression is A = 2¹²

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Answer:

A and C

Step-by-step explanation:

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

That's an interesting research approach!  By gathering opinions from different groups of children, specifically home-schooled, private school attendees, and public school attendees, the researcher can gain insights into how various educational backgrounds might influence their opinions on the new town curfew.

Collecting a simple random sample from each group ensures that every child within the respective groups has an equal chance of being selected for the survey. This helps in minimizing bias and increasing the generalizability of the findings to the larger population of home-schooled, private school, and public school children.

Once the samples are obtained, the researcher can administer a survey or questionnaire to collect the children's opinions on the new town curfew. The survey may include questions related to their awareness of the curfew, their understanding of its purpose, and their personal opinions on whether they support or oppose it.

By comparing the responses across the three groups, the researcher can identify potential variations in opinions based on educational background. This information can provide valuable insights into how different types of schooling may shape perspectives on civic policies like curfews.

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Answer:

B. 183

Step-by-step explanation:

m<L = (1/2)[m(arc)KN - m(arc)KM)]

35 = (1/2)(177x - 107x)

70 = 70x

x = 1

m(arc)KN = 177x = 177

m(arc)NMK = 360 - m(arc)KN

m(arc)MNK = 360 - 177

m(arc)MNK = 183

Answer:

8x^2

Step-by-step explanation:

Answer:

m∠CAF is 28°

Step-by-step explanation:

The given parameters are;

EG = 3, EB = 8, A_F = 7, m∠EBG = 23°, ∠EGF 32°, and m∠CAE = 51°

From the diagram, we have;

m∠EBG = m∠EAD ;                \({}\)                                    Given

Therefore, m∠EAD = 23°  

m∠CAE = m∠CAF + m∠EAD \({}\)                                     Angle addition postulate

Therefore, we have;

51° = m∠CAF + 23° \({}\)                        

m∠CAF = 51° - 23°                            \({}\)              

m∠CAF = 28°

Answer:it’s 11 dmy

Step-by-step explanation:

Answer:

\(\frac{1}{4}\)

Step-by-step explanation:

Since there are a total of 4 colors, and there are 5 of each colors, the total marbles in the bad would be;

5 x 4 = 20

If a color is selected at random the probability would be

\(\frac{part}{whole}\)

our part is 5

our whole is 20

so the probability would be;

\(\frac{5}{20}\) or \(\frac{1}{4}\) when reduced

Hope this helps!

Answer  

1/4

Step-by-step explanation:

I dont know im just guessing sorry

I might not be correct.

Answer:

Hi there!

Your answer is:

A) -2

Step-by-step explanation:

f(-8) means to plug in -8 for x!

(-8)/4 =

-8/4 = -2

f(-8) = -2

Answer:

-2

Step-by-step explanation:

f(x) = x/4

Let x = -8

f(-8) = -8/4

       =-2

Answer:

Step-by-step explanation:

You need to first find what x equals before you can solve the equation.

Answer:

36

Step-by-step explanation:

x^2+2xy+y^2

12x/2x=6=y

y^2=36

Answer:

1

Step-by-step explanation:

because 1/2 time 1 = 1/2

Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. When you multiply a mixed number by another mixed number the product is equal to the another mixed number. For exact same mixed number, when you multiply a mixed number by one  number the product is equal to the mixed number.

Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. As it is the combination of two types of number thus it is known as mixed number.

Mixed number are used to count the whole and part of a thing together.

For example five and a half of a thing can be written as,

\(5+\dfrac{1}{2} =5\dfrac{1}{2}\)

Now when a mixed number is multiplied by the another mixed number the product of both is a another mixed number.

For example let multiply 2 and a half with 3 and a half. The result is,

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{7}{2} \times \dfrac{9}{2}\)

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{63}{4}\)

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =15\dfrac{3}{4}\)

Thus when you multiply a mixed number by another mixed number the product is equal to the another mixed number.

If the product should be equal to the given mixed number thus it need to be multiplied by the one. Thus when you multiply a mixed number by one  number the product is equal to the mixed number.

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The slope of the equation is 25 and it represents a monthly membership charge and the y-intercept of the equation is 50 and it represents the charges of a one-time fee for a gym.

A gym charges a one-time fee of $50 and a monthly membership charge of $25 the total cost c of being a member of the gym is given by

c (t) = 50 + 25t

where c is the total cost you pay after being a member for t months.

The slope of the equation is 25 and it represents a monthly membership charge.

The y-intercept of the equation is 50 and it represents the charges of a one-time fee for a gym.

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On solving the provided question, we can say that the approximate amperage setting be if a welder were set to the high range would be 350 amps.

The variable's range is obtained by finding its largest observed value (maximum) and subtracting its smallest observed value (minimum). Variational bounds or possible range: various steel prices; various styles; The extent or magnitude of a procedure or action: insight. the maximum or expected range of a weapon's projectile. The range of a list or set is the number between the minimum and maximum. Prior to identifying the region, align all the numbers. Remove (remove) the lowest number from the highest number next. The list's range is provided in the solution.The solution provides the list's range.

here,

the approximate amperage setting be if a welder were set to the high range would be 350 amps

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The correlation coefficient that represents the strongest relationship between two variables is -0.75.

In correlation coefficients, the absolute value indicates the strength of the relationship between variables. The strength of the association increases with the absolute value's proximity to 1.

The maximum absolute value in this instance is -0.75, which denotes a significant negative correlation. The relevance of the reverse correlation value of -0.75 is demonstrated by the noteworthy unfavorable correlation between the two variables.

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Answer:

EQUATION: X - 12 = 7X. SOLUTION: X = - 2.

Step-by-step explanation:

First, we do not know the number. When the number is unknown, it is a variable. I chose the variable, "X."

12 less than signals that we subtract 12. So that would be X - 12.

A product of 7 AND that number means we multiply 7 by X. That can be notated as 7X.

12 less than X is EQUAL to the product of 7 and X. So X - 12 = 7X.

To find the solution, we want to know the value of X. Move X to one side of the equation.

X - 12 = 7X

-X           -X

_________

-12     =   6X

Divide both sides by 6 to get X by itself.

X = - 2.

The values of x where f has a removable discontinuity are:
x = (9 + √175) / 16 and x = (9 - √175) / 16.

A removable discontinuity occurs when there is a hole in the graph of a function, which can be "filled in" by redefining the function at that point. In other words, the limit of the function as x approaches the point of the hole exists, but is different from the value of the function at that point.

To find where f has a removable discontinuity, we need to look for values of x where the denominator of the function is zero, since this would create a hole in the graph. In this case, the denominator is 8x^2 - 9x + 8, so we need to solve the equation:

8x^2 - 9x + 8 = 0

We can use the quadratic formula to solve for x:

x = [-(-9) ± √((-9)^2 - 4(8)(8))] / (2(8))
x = [9 ± √(81 - 256)] / 16
x = [9 ± √175] / 16

These two values of x correspond to the points where f has a removable discontinuity. To see why, we can compute the limit of f as x approaches each of these values. For example, as x approaches (9 + √175) / 16, we have:

lim (x→(9+√175)/16) f(x) = lim (x→(9+√175)/16) (2x^2 + 14x - 16x^2 - 9x + 8) / (8x^2 - 9x + 8)
= lim (x→(9+√175)/16) (-14x + 8) / (-16x + 8)
= lim (x→(9+√175)/16) (7/8)
= 7/8

This means that we could redefine f at the point (9 + √175) / 16 to be equal to 7/8, and the resulting function would be continuous (i.e. have no holes) at that point. Similarly, we could redefine f at the point (9 - √175) / 16 to be equal to -3/4, and the resulting function would also be continuous at that point.

Therefore, the values of x where f has a removable discontinuity are:

x = (9 + √175) / 16 and x = (9 - √175) / 16.

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Answer:

i think d

Step-by-step explanation:

im so sorry if this is wrong but im almost positive its d

please mark brainliest

The area between two negative scores can be found by taking the absolute difference between the two scores.

The area between two negative scores can be found by taking the absolute difference between the two scores. This is because the absolute difference gives us the distance between the two scores without considering their signs.

To calculate the area between two negative scores, follow these steps:

1. Identify the two negative scores.
2. Subtract the smaller negative score from the larger negative score.
3. Take the absolute value of the result to remove the negative sign.
4. The absolute difference between the two negative scores represents the area between them.

For example, let's say we have two negative scores, -5 and -10. To find the area between them, we subtract -5 from -10, resulting in -10 - (-5) = -10 + 5 = -15. Since we are interested in the distance, we take the absolute value of -15, which gives us 15. Therefore, the area between -5 and -10 is 15.

The absolute difference between two negative scores gives us the area between them. This approach is applicable whenever we want to find the distance or area between any two numbers, not just negative scores.

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Given the problem, X represents the number of cities among the five neighboring cities (located within 10 miles of each other) in which it will rain tomorrow. X can be a value ranging from 0 (no rain in any city) to 5 (rain in all cities).

Based on the given information, X is the random variable representing the number of cities among the five neighboring cities that will experience rain tomorrow. Since the cities are located within 10 miles of each other, it can be assumed that they are geographically similar and therefore have similar weather patterns. However, the probability of rain occurring in each city may still vary due to microclimates or other factors.

In order to determine the probability distribution of X, more information is needed such as historical weather data, current weather conditions, and any forecasts or predictions. Without this additional information, it is not possible to provide a specific answer to the question.

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The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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