6. What is the most appropriate statistical method to use in each research situation? (Be as specific as possible, e.g., "paired samples t-test") (1 point each) a. You want to test whether a new dieta

2n+3

hope it's helpful ❤❤❤

THANK YOU

Answer:

144

100-(-14)

144 is the absolute value and 100-(-14) is the only one that will get you to 114

Answer:

20 square feet

Step-by-step explanation:

500/25 = 20

20x25 = 500

Answer:

work is shown and pictured

Answer:

Step-by-step explanation:

If you're asking for the area of the sector, it's the central angle of 360, times the area of the circle, for example, if the central angle is 60, and the two radiuses forming it are 20 inches, you would divide 60 by 360 to get 1/6.

The requried area of a sector bounded by a 180° arc is 8π square inches.

The area of a sector is a portion of the circle enclosed by two radii and an arc and is given by the formula A = (θ/360)πr², where θ is the angle in degrees and r is the radius of the circle.

Here,
The area of a sector bounded by a 180° arc in a circle with a radius of 4 inches can be found using the formula;

A = (θ/360)πr²

Where θ is the angle in degrees and r is the radius.
Since the angle is 180°, we have:

A = (180/360)π(4²) = 8π square inches.

Thus, the area of a sector bounded by a 180° arc is 8π square inches.

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Answer 2

Step-by-step explanation: a^2 + b^2 = c^2 ----> a^2 + b^2 = (2b)^2 ---> a^2 + b^2 = 4b^2 ---> a^2 = 3b^2 --> (2√3)^2 = 3b^2 ---> 12 = 3b^2 4=b^2 b=2

The sample size must be 543 so the sample proportion is will not differ by 5%

We are given the following in the question:

Margin of error = 5%

Confidence interval:

p ±z√(p'(1 - p')/n)

Margin of error =

p = ±z√(p'(1 - p')/n)

Since no particular proportion is given, we take

p' = 0.5

Z critical at α 0.02 is ± 2.33

Putting values, we get,

p = ±z√(p'(1 - p')/n)

2.33 x √(0.5(1 - 0.5)/n)

√n = 2.33x 0.5/0.05

n = 542.89 = 543

Thus, the sample size must be 543 so the sample proportion is will not differ by 5%

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Answer: -5/3

Step-by-step explanation:

In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.

Answer:

x=-2. y=3

Step-by-step explanation:

So, it tells us that x=2y-8.

Now substitute x into the equation.

-3(2y-8)+2y=12

- 6y+24+2y=12

-4y+24=12

-4y=-12

y=-12/-4

y=3

Now that we know that y=3 substitute y into the second equation equation.

x=2(3)-8

x=6-8

x=-2

So in the end x=-2 and y=3

Hope this helps

Answer:

y=3, and x= -2

Step-by-step explanation:

-3x= -2y+12

x=2y-8

3x=2y-12

3x=6y-24

2y-12=6y-24

-4y=-12

y=3

x= -2

Nikita determined the result of 4 + 12 ÷ 2 - 4.

Nikita used a calculator to evaluate the expression 4 + 12 ÷ 2 - 4. To solve this expression correctly, we need to follow the order of operations, which states that multiplication and division should be performed before addition and subtraction.

Perform division: 12 ÷ 2 = 6.

Perform addition: 4 + 6 = 10.

Perform subtraction: 10 - 4 = 6.

Therefore, the correct result of the expression 4 + 12 ÷ 2 - 4 is 6. The statement "Nikita determined the result of 4 + 12 ÷ 2 - 4" accurately describes her work, as she obtained the correct answer using the given expression.

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Answer:

a) linked a screenshot of the graph.

b) when y=1 x=.5

Step-by-step explanation:

4 is the slope, which makes the graph angle different. Starting at the origin (0,0) if you go over 1 and up 4 that is how you can draw the slope on a graph.

-1 makes the line go to the right 1 time so instead of the graph being on the origin (0,0) it will be placed on the coordinate points of (1,0)

To find the x value. Find 1 on the y-axis of the line graph. Go to the right to find where the line intersects. After you find that go straight down to find the x-value (0.5)

The type of nonprobability design that is most likely to yield a representative sample is a stratified random sampling.

In stratified random sampling, the population is divided into distinct subgroups or strata based on certain characteristics or variables that are relevant to the research objective. Then, a random sample is selected from each stratum proportionally to the size or importance of that stratum in the population. This approach ensures that the sample reflects the diversity and heterogeneity of the population.

By stratifying the population and using random sampling within each stratum, the stratified random sampling design increases the likelihood of obtaining a representative sample. It allows for accurate representation of different groups within the population, which can help reduce sampling bias and provide more precise estimates of population characteristics.

However, it's important to note that even with stratified random sampling, there may still be limitations and potential sources of bias. Factors such as nonresponse rates and the accuracy of the population data used for stratification can impact the representativeness of the sample. Nevertheless, when properly implemented, stratified random sampling is a valuable nonprobability design for achieving representativeness in a sample.

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Answer:

-252

Step-by-step explanation:

4 * -6.3

-252

Anytime you multiply a positive number to a negative number, it will always be negative.

Best of Luck!

Answer:

-252 is the correct answer to this question

9514 1404 393

Answer:

  15 and 21

Step-by-step explanation:

I like to work these considering the difference in ratio units.

The age ratio is 5 : 7.

The age difference in ratio units is 7 - 5 = 2. The difference in years is 6, so each ratio unit must be 6/2 = 3 years. Multiplying the ratio numbers by 3, we get the actual ages as ...

  5 : 7 = (3·5) : (3·7) = 15 : 21

The two sisters are 15 and 21 years old.

The standard form of a linear equation is

Ax+By=C

Rewrite the equation.

x+2=y

Move all terms containing variables to the left side of the equation.

x−y+2 =0

Subtract 2

from both sides of the equation.

x−y=−2

The parallels and transversal is discussed above.

Parallel lines - Two lines are said to be parallel if they never intersect each other.

Transversal line - In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

Given are parallel lines and a transversal line.

When a transversal line that passes through the pair of parallel lines, it forms 8 angles. We can write them as -

Therefore, the parallels and transversal is discussed above.

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The dimensions of the package of maximum volume that can be sent are 20 inches by 40 inches.

Let us represent the length of the square cross-section of the postal package with x, and the width of the package with y.

So, the perimeter is given by the equation -

y + 4x = 120

y = 120-4x    -----------(1)

the volume will be

V = \(x^{2} y\)        -----------(2)

Now, substitute (1) in (2), and we get,

V = \(x^{2}\) (120-4x)

V = 120\(x^{2}\) - 4\(x^{3}\)

Differentiating with respect to x, we get,

V' = 240x - 12\(x^{2}\)

V'=0

hence, 240x - 12\(x^{2}\) = 0

12\(x^{2}\) = 240x

dividing by 120x on both sides,

hence, x=20

Now, we know that,

y = 120 - 4x

y = 120-4(20)

y = 120-80

y=40

Hence, the dimensions that maximize the volume of the package are 20 inches by 40 inches.

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1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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(a) A basis for R4 that includes v0 and v1 can be found by adding two linearly independent vectors to {v0, v1}.

To find a basis for R4 that includes v0 and v1, we need to add two linearly independent vectors to the set {v0, v1}. Let's call these vectors v2 and v3. As long as v2 and v3 are linearly independent from v0 and v1, they will form a basis for R4.

The choice of v2 and v3 can vary, but they must be chosen carefully to avoid linear dependence. Once v2 and v3 are determined, we will have a basis {v0, v1, v2, v3} for R4 that includes v0 and v1.

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Answer: 5/26

Step-by-step explanation:Hope this is helpful

The height of the cone in discuss as required to be determined is; 16.38 cm.

Since the height of the cone is three times the length of the diameter of its base;

h = 3d;

d = h/3

Therefore, radius,

r = d/2

r = h/3 ÷ 2

multiply by the reciprocal of 2

r = h/3 × 1/2

r = h / 6.

Volume of a cone, V = (1/3) πr²h

128 = (1/3) × (22/7) × (h³/36)

h³ = 4398.55

h = 16.38 cm.

Ultimately, the height of the cone is; 16.38 cm.

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The equations in the slope-intercept form are

p = 3b + 2 and p = (5/2)b + 15/2.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction

From the table and scatter plot;

(a). The line for 'Build it' passes through (1, 10) and (3, 15),

then the equation of the line is,

p = (5/2)b + 15/2

Similarly, the equation of the line-'All things home' is,

p = 3b + 2.

(b) the graphs of the lines are given in the attached image.

(c) The equation in the slope-intercept form;

p = 3b + 2 and p = (5/2)b + 15/2.

(d) When b = 65,

then p = 3(65) + 2 and p = (5/2)(65) + 15/2.

So, p = 197 and p = 170

Therefore, all the required values are given above.

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The half-life of an isotope is the time by which there is a 50% probability that decay has occurred if Cobalt-60 has a half-life of 5.27 years then mean time to decay is 7.65 years , standard deviation of the decay time is 3.82 years , the 99th percentile is  36.4 years and  the mean and standard deviation of the total time the experiment will last is 6.61 years.

(a) The mean time to decay can be found using the formula: \(mean = half-life / ln(2)\).

Therefore, for cobalt-60 with a half-life of 5.27 years, the mean time to decay is:

\(mean = 5.27 / ln(2) \approx7.65 years\)

(b) The standard deviation of the decay time can be found using the formula:

standard deviation =    \(half-life /(\ sqrt{(ln(2))}).\)

Therefore, for cobalt-60 with a half-life of 5.27 years, the standard deviation of the decay time is:

standard deviation = \(5.27 / (\sqrt{(ln(2))}) \approx 3.82 years\)

(c) The 99th percentile can be found using the cumulative distribution function (CDF) of the exponential distribution. For cobalt-60 with a half-life of 5.27 years, the CDF is:

\(CDF(t) = 1 - e^{(-t/5.27)}\)

Setting the CDF equal to 0.99 and solving for t, we get:

\(0.99 = 1 - e^{(-t/5.27)}\)

\(e^{(-t/5.27)} = 0.01\)

\(-t/5.27 = ln(0.01)\)

\(t = -5.27 * ln(0.01)\)

\(t\approx 36.4 years\)

Therefore, the 99th percentile of the decay time for cobalt-60 is approximately 36.4 years.

(d) Three cobalt-60 atoms, then the total time the experiment will last is the sum of the decay times of each atom. Since the decay times are independent and identically distributed, the mean and standard deviation of the total time can be calculated by adding the means and variances of each individual decay time.

The mean of the total time is:

\(mean(total) = mean(atom1) + mean(atom2) + mean(atom3)\)

\(mean(total) = 7.65 + 7.65 + 7.65\)

\(mean(total) = 22.95 years\)

The variance of the total time is:

\(variance(total) = variance(atom1) + variance(atom2) + variance(atom3)\)

\(variance(total) = (3.82)^2 + (3.82)^2+ (3.82)^2\)

\(variance(total) \approx43.67 years\)

The standard deviation of the total time is the square root of the variance:

standard deviation(total) \(= \sqrt{(variance(total))}\)

\(standard deviation(total) \approx6.61 years\)

Therefore, the mean and standard deviation of the total time for observing three cobalt-60 atoms until they decay are approximately 22.95 years and 6.61 years, respectively.

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The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The equation of the path of the parabola is y = a(x - 13)² + 27

Given data ,

To represent the path of Al's toss, we can assume that the path is a parabolic trajectory.

The equation of a parabola in vertex form is given by:

y = a(x - h)² + k

where (h, k) represents the vertex of the parabola

Now , the balloon was released from the 10-yard line and landed at the 16-yard line, we can determine the x-values for the vertex of the parabola.

The x-coordinate of the vertex is the average of the two x-values (10 and 16) where the balloon was released and landed:

h = (10 + 16) / 2 = 13

Since the height of the balloon reached 27 yards, we have the vertex point (13, 27)

Now, let's substitute the vertex coordinates (h, k) into the general equation:

y = a(x - 13)² + k

Substituting the vertex coordinates (13, 27)

y = a(x - 13)² + 27

To determine the value of 'a', we need another point on the parabolic path. Let's assume that the highest point reached by the balloon is the vertex (13, 27).

This means that the highest point (13, 27) lies on the parabola

Substituting the vertex coordinates (13, 27) into the equation

27 = a(13 - 13)² + 27

27 = a(0) + 27

27 = 27

Hence , the equation representing the path of Al's toss is y = a(x - 13)² + 27, where 'a' can be any real number

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Answer:

B

Step-by-step explanation:

The explanation is attached below.

Explanation:

We are given a table of x and y values along with other information that is useful to calculate the regression equation that models the data.

Step 1. The equation will have the following form:

Where m is the slope of the line, and b is the y-intercept of the line.

Step 2. There are two formulas useful to calculate m and b, and they are presented in the following image:

Where the symbol

∑

represents a summation.

The summations are already presented in the table:

We will use the values to substitute in our formulas.

Step 3. In our formulas, there is a value 'n', this value represents the number of elements in the data, in this case, n is equal to 5:

Substituting the values from the table and the value of n to find m:

Solving the operations, we find the value of m:

We can round this value to

Step 4. We already have m, so now we need to find b:

Substituting the known values:

Solving the operations:

we can round this to

Step 5. Remember that our equation has the form

The last step is to substitute our m and b values:

And we have found the line equation which is the first option.

Answer:

Answer:

C

Step-by-step explanation:

Answer:

0.0625 or 6.25%

Step-by-step explanation:

You have a 50% chance of each die to roll a even. Since you are rolling 4 you need to times them together. So .5*.5*.5*.5=0.0625 or 6.25%