which measure captures the variation in ressponses? multiple choice the frequency distribution the median the mode the standard deviation the mean

Answer:

5, 2

Step-by-step explanation:

hope u got it.........

Answer:

y = 5x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

- 5x + y = 2 ( add 5x to both sides )

y = 5x + 2 ← in slope- intercept form

The appropriate sample size formula on the TI-84 calculator, you can determine the sample size needed to achieve your desired margin of error for estimating population parameters.

To find the sample size with a desired margin of error on a TI-84 calculator, you can use the following steps:

1. Determine the desired margin of error: Decide on the maximum allowable difference between the sample estimate and the true population parameter. For example, if you want a margin of error of ±2%, your desired margin of error would be 0.02.

2. Determine the confidence level: Choose the desired level of confidence for your interval estimate. Common choices include 90%, 95%, or 99%.

Convert the confidence level to a corresponding z-score. For instance, a 95% confidence level corresponds to a z-score of approximately 1.96.

3. Calculate the estimated standard deviation: If you have an estimate of the population standard deviation, use that value. Otherwise, you can use a conservative estimate or a pilot study's standard deviation as a substitute.

4. Use the formula: The sample size formula for estimating a population mean is n = (z^2 * s^2) / E^2, where n represents the sample size, z is the z-score, s is the estimated standard deviation, and E is the desired margin of error.

5. Plug in the values: Input the values of the z-score, estimated standard deviation, and desired margin of error into the formula. Use parentheses and proper order of operations to ensure accurate calculations.

6. Calculate the sample size: Perform the calculations using the calculator, making sure to include the appropriate multiplication and division symbols. The result will be the recommended sample size to achieve the desired margin of error.

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Answer:

The length is 10.

Step-by-step explanation:

\( \sqrt{ {(8 - 2)}^{2} + {(11 - 3)}^{2} } \)

\( \sqrt{ {6}^{2} + {8}^{2} } = \sqrt{100} = 10\)

9 houses receive both the news report and the city times.

Let's break down the problem to find the number of houses that receive both newspapers.

Veronica delivers 27 copies of the news report and 22 copies of the city times to a total of 38 houses on Oakland Street. Since each house can receive at most 1 copy of each newspaper, the maximum number of houses that can receive either newspaper is the sum of the copies delivered for each newspaper, which is 27 + 22 = 49.

However, we know that there are only 40 houses on Oakland Street. This means that at least 9 houses will not receive any newspaper.

To determine the number of houses that receive both newspapers, we need to subtract the number of houses that don't receive any newspaper from the total number of houses that can receive either newspaper.

Therefore, the number of houses that receive both newspapers is 49 - 40 = 9.

As a result, 9 households receive both the city times and the news report.

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The solution to the initial value problem is:y(t) = 2e^(2t) - e^(t)cos(t) - sin(t)

The Laplace Transform is a technique used to solve initial value problems by transforming the given function from the time domain to the s-domain. Here, we will use the Laplace Transform to solve the initial value problem:

Given: y'' - 2y' + 2y = 4e^(2x), y(0) = 0, y'(0) = 1

Step 1: Find the Laplace Transform of the differential equation:

Taking the Laplace transform of both sides, we get:

s^2Y(s) - s(0) - y(0) - 2[sY(s) - y(0)] + 2Y(s) = 4[1/(s - 2)]

Simplifying the equation, we have:

s^2Y(s) - 2s + 2Y(s) - 0 - 0 - 2Y(0) + 2sY(s) = 4/(s - 2)

Combining like terms, we get:

(s^2 + 2s + 2)Y(s) = 4/(s - 2)

Y(s) = [4/(s - 2)] / (s^2 + 2s + 2)

Step 2: Find the inverse Laplace Transform of Y(s):

Using partial fraction decomposition, we can rewrite Y(s) as:

Y(s) = 2/(s - 2) - [(s - 1)/(s^2 + 2s + 2)] - 1/(s^2 + 2s + 2)

Applying inverse Laplace transforms, we get:

y(t) = 2e^(2t) - e^(t)cos(t) - sin(t) + C₂

Applying the initial conditions y(0) = 0 and y'(0) = 1, we can solve for the constant C₂.

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Answer:

1152 in ^ 3

Step-by-step explanation:

We know that the width is:

w = 4 in

They also tell us that the length is three times the width, therefore:

l = 3 * w

l = 3 * 4 = 12

l = 12 in

and as for the height, they tell us that it is twice the length, so:

h = 2 * l

h = 2 * 12 = 24

h = 24 in

now the volume is w * l * h, replacing:

v = 4 * 12 * 24

v = 1152

volume equals 1152 in ^ 3

Answer:

729

Step-by-step explanation:

27^2 =

Answer:

Pink:   114 square units

Turquoise:   183 square units

Step-by-step explanation:

Separate the shapes into triangles and rectangles.

Area of a rectangle = width × length

Area of a triangle = 1/2 × base × height

This comprises of 2 triangles and 2 rectangles.

Area of bottom left triangle = 1/2 × 6 × 6 = 18 square units

Area of top right triangle = 1/2 × 5 × 4 = 10 square units

Area of bottom large rectangle = 6 × 11 = 66 square units

Area of upper small rectangle = 4 × 5 = 20 square units

Total area = 18 + 10 + 66 + 20

                 = 114 square units

This comprises of 1 triangle and 2 rectangles.

Area of triangle = 1/2 × (25 - 9 - 9) × (24 - 16 - 2)

                          = 1/2 × 7 × 6

                          = 21 square units

Area of middle rectangle = (25 - 9 - 9) × 16

                                         = 7 × 16

                                         = 112 square units

Area of right rectangle = 2 × 25

                                      = 50 square units

Total area = 21 + 112 + 50

                 = 183 square units

Answer:

Pink is = 114 square units

Turquoise is = 83 square units

--

The shapes need to be converted into triangles and rectangles so we can use their area formula which is

This shape has one triangle and two rectangles!

So . .

Area of the triangle = A = \(\frac{1}{2}\) × b × h

A= middle rectangle = A= L x W

A= right rectangle = L x W

In all = 183² units

2 . PINK

This shape has two rectangles and two triangles

In all = 114² units

Answer:

AEB = AED, because to make a rhombus, most sides have to be congruent. In a rhombus, the triangles that make up for it are normally all the same, (triangle aed, aeb, bec, and ced.)

Step-by-step explanation:

A rhombus is 360. This means that all combined would equal 360 degrees, and should all be congruent.

Since to angles are provided, we are left to assume they are all equilateral.

The cartesian vector form of \(F\) is \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\). We call x + yi the Cartesian form for a complex number.

Given that \(i,j,p\) and \(q\) are unit vectors and the angle \(\alpha = 222\)°, we can express the cartesian vector form of \(F\) as \(F = (-31cos(\alpha )i + 102sin(\alpha )j)\).

To calculate the components of \(F\) , we use the trigonometric functions \(cos(\alpha )\) and \(sin(\alpha )\) with the given angle \(\alpha = 222\)°.

\(cos(222) = -0.766\\sin(222) = -0.643\)

Substituting these values into the cartesian vector form, we have:

\(F = (-31cos(222)i + 102sin(222)j)\\F = (-31 * -0.766i + 102*-0.643j)\\F = (23.746i - 65.586j)\)

Therefore, the cartesian vector form of \(F\) is \(F = (23.746i - 65.586j)\).

The cartesian vector form of \(F = (23.746i - 65.586j)\)

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Answer:

Jason wants 108 cupcakes for his party. If he has already made 24 fudge cupcakes and 36 mocha cupcakes... he would need to make 48 more cupcakes.

Step-by-step explanation:

\(24+36=60\)

\(108-60=48\)

Hope this helps!!

Answer:

48 cupcakes

Step-by-step explanation:

108 - (24+36) = 48

To compute the Laplace transform of f(t) = t, we need to evaluate the integral:

L{t}(s) = ∫[0 to infinity] t * e^(-st) dt

Let's solve this integral step by step:

We start by integrating by parts, using the formula ∫u dv = uv - ∫v du, where u = t and dv = e^(-st) dt:

L{t}(s) = [t * (-1/s) * e^(-st)] evaluated from 0 to infinity - ∫[0 to infinity] (-1/s) * e^(-st) dt

Now, let's evaluate the first term:

[t * (-1/s) * e^(-st)] evaluated from 0 to infinity = [(infinity * (-1/s) * e^(-s(infinity))] - [(0 * (-1/s) * e^(-s(0)))]

                                                 = [0 - (0 * (-1/s) * 1)]    (as e^(-s(infinity)) approaches 0)

                                                 = 0

So the first term simplifies to 0.

Now, let's evaluate the remaining integral:

∫[0 to infinity] (-1/s) * e^(-st) dt

We can pull out (-1/s) as a constant:

= (-1/s) * ∫[0 to infinity] e^(-st) dt

This integral is a standard integral that evaluates to 1/s:

= (-1/s) * (1/s) * ∫[0 to infinity] e^(-st) d(-st)   (using a substitution u = -st, du = -s dt)

= (-1/s^2) * [e^(-st)] evaluated from 0 to infinity

= (-1/s^2) * (e^(-s(infinity)) - e^(-s(0)))

= (-1/s^2) * (0 - 1)

= 1/s^2

Therefore, the Laplace transform of f(t) = t is:

L{t}(s) = 1/s^2

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Answer:

Step-by-step explanation:

Given the set T{X: 2<x ≤ 9} where x is an integer, the element of the set T will be {3, 4, 5, 6, 7, 8, 9}.  note that from the inequality set 2<x ≤ 9, x is not equal to 2 but greater than 2. The inequality can be divided into two as shown;

If 2<x ≤ 9 then 2<x and x≤9

If 2<x, this means x>2 but not equal to 2. This is the reason why 2 is not contained in the set T.

Similarly if x≤9, this shows that x can not be greater than 9 but less than or equal to 9.

Since the set T =  {3, 4, 5, 6, 7, 8, 9}, we are to find n(T). n(T) means cardinality of the set T and cardinality of a set is defined as the total number of element in a set.

Hence n()n(T) = 7 (since there are 7 elements in the set T)

Answer: never

Step-by-step explanation: By definition, skew lines are non-coplanar lines that do not intersect and lines must be in the same plane to be parallel.

So no, skew lines are never parallel

meaning they never lie in the same plane.

Answer:

Adam spent in total 288

Answer:

please

Step-by-step explanation:

follow me

please

please

please

Answer:

C. 95%

Step-by-step explanation:

Because you have to add all percents

Plz mark brainliest

No, they should not adjust the parameters to weaken that character based on this sample alone.

To make a decision about adjusting the parameters of a character based on a test of significance, we need to determine if the observed outcome (winning 232 out of 400 contests) is unlikely to occur by chance alone, assuming the character's current parameters are the same. This is done by calculating a p-value, which represents the probability of observing a result as extreme or more extreme than the one we observed, assuming the null hypothesis is true (i.e., the parameters are the same).

If the p-value is very small (e.g., less than 0.05), we reject the null hypothesis and conclude that the observed outcome is unlikely to occur by chance alone and that the character's parameters may need to be adjusted. However, if the p-value is not small (e.g., greater than 0.05), we fail to reject the null hypothesis and conclude that the observed outcome is not statistically significant and that the character's parameters may not need to be adjusted.

In this case, we can calculate the p-value using a binomial test. The null hypothesis is that the probability of winning a contest is 0.5 (i.e., the character is equally likely to win or lose). The alternative hypothesis is that the probability of winning is less than 0.5 (i.e., the character is more likely to lose). Using a one-tailed binomial test with a significance level of 0.05, we find that the p-value is approximately 0.013, which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the observed outcome is statistically significant and that the character's parameters may need to be adjusted.

However, it is important to note that this decision should not be based solely on this sample. It is possible that the sample is not representative of the true population of contests involving the character, and that a larger sample may lead to a different conclusion. Therefore, it is important to consider the context of the situation and gather additional information before making a final decision about adjusting the character's parameters.

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Answer:

If the x is a multiplying sign then the answer is 6, but

if the x is the letter x then it will be x=4

Answer:

theres 8

Step-by-step explanation:

Answer:

Assuming you meant "n is an integer", the sum is

8n + 28

Step-by-step explanation:

Assuming you mean "n is an integer".

The first even integer (greater than 2n+2, which is even too) is 2n+4.

The next ones are of course 2n+6, 2n+8 and 2n+10

The sum is 2n+4 + 2n+6 + 2n+8 + 2n+10 = 8n + 28

Answer:-12x

Step-by-step explanation:

just trust me on this

Answer:

a) X + 2x = 36

Step-by-step explanation:

A) x refers to Kim's sister age

B) x = 12

When Kim is 24,his sister is 12

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

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There are 8,519,680 hexadecimal numbers. The result is obtained by using the multiplication principle.

Hexadecimal number system is a numbering system with the base of 16. The 16-digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. They are usually denoted by the subscript 16. For example, 429AD₍₁₆₎.

How many combination of hexadecimal numbers that can be made if:

Let's broke the problem into 3 cases.

Using the multiplication principle, we can multiply them all.

The combination of hexadecimal numbers is

= 10 × 13 × 16³

= 8,519,680

Hence, the combination that can be made is 8,519,680 hexadecimal numbers.

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Two of them have the same remaining. The proof using the pigeonhole principle is now complete.

When an integer is divided by 4, there are four potential remainders: 0, 1, 2, or 3. Take any set of five numbers as an example.

If at least three of them have the same remainder when divided by 4, then we are done, since two of them will have the same remainder. This is because if three integers have the same remainder, then we can subtract that remainder from all of them, and the resulting three integers will all be divisible by 4, which means that two of them will have the same remainder when divided by 4.

So suppose that at most two of the integers have the same remainder when divided by 4. Then there are at most two integers with remainder 0, at most two integers with remainder 1, at most two integers with remainder 2, and at most two integers with remainder 3. This means that there are at most 8 integers in total, which is a contradiction since we started with 5 integers. Therefore, there must be at least three integers with the same remainder when divided by 4, and hence there are two with the same remainder. This completes the proof by the pigeonhole principle.

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If a machine that works at a constant rate can fill 40 bottles of milk in 3 minutes, Then the machine will take approximately 18 minutes to fill 240 bottles.

Constant rate is a rate of change is constant when the ratio of the output to the input stays the same at any given point on the function.

Given that machine take 3 minutes to fill 40 bottles

So for 1 minute the machine fill \(\frac{40}{3}\) = 13.3333 bottles.

That is in 1 minute the machine fill approximately 14 bottles.

So the machine take a time to fill 240 bottles is \(\frac{240}{14} = 18.461\).

Thus the machine take approximately 18 minutes to fill 240 bottles.

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