PICK ONE OF THE FOLLOWING (imagine added)

The range of the relation is ( 0,2)

The set which contains all the second elements, on the other hand, is known as the range of the relation.

For example, the two terms a and b have the following values

a: 1, 2 ,4, 8, 10

b: 1, 4 , 12, 14.

The range of relation between the two values is ( 1 ,4) because the two values are common to both term.

Similarly, looking at the term x and y , we can see that only 0 and 2 are common to both terms.

Therefore the range of relation is (0,2)

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the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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The area occupied by the colony when first observed is 1/9 square centimeter and the doubling time for the colony is approximately 5.57 hours.

Let's start by finding out how many times the colony tripled in the first 12 hours. Since the colony triples every 4 hours, it will have gone through 3 cycles of tripling in 12 hours.

Therefore, the area occupied by the colony when first observed is (3)^2 = 9 times the original area.

Let A be the original area occupied by the colony. Then we have

9A = 1 square centimeter

Solving for A, we get

A = 1/9 square centimeter

The doubling time is the time it takes for the colony to double its area. Let's call this time t. We know that the colony triples every 4 hours, so in t hours it will have tripled twice, or multiplied by a factor of 9. Therefore, we can write

A(0) * 9 = A(0) * 2^(t/d)

where A(0) is the initial area occupied by the colony and d is the doubling time. Solving for d, we get

d = t/log(9/2)

We know that after 12 hours the colony occupies 1 square centimeter, so we can use this information to solve for the doubling time

1/9 * 2^(12/d) = 1

Solving for d, we get

d = 4*log(3) ≈ 5.57 hours

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Answer:

The distance is 12 miles

Step-by-step explanation:

Given

See attachment for grid

Required

The distance

From the attached:

\(B = (-8,6)\) --- Bank

\(H = (4,6)\) --- Hiroto's house

Using distance formula, we have:

\(d = \sqrt{(x_1- x_2)^2 + (y_1 - y_2)^2}\)

This gives:

\(d = \sqrt{(-8- 4)^2 + (6 - 6)^2}\)

\(d = \sqrt{(-12)^2}\)

\(d = \sqrt{144}\)

\(d = 12\)

Answer:

II only ⇒ QR ≅ SP

Step-by-step explanation:

It definitely can’t be I or III becasue SR is smaller than QR, and PR is longer than QR. So both of those lines are not congruent to QR because they have different lengths.

Answer:

355

Step-by-step explanation:

185+140= 325

325+20= 355

Answer:

30/185×100=

Step-by-step explanation:

30/140×100=

The maximum possible error that will be associated with the estimate when the analyst uses a sample size of 400 observations is 3.78 percent and the sample size that the analyst would need in order to have the maximum error be no more than ±5 percent is 297 observations.

The maximum possible error that will be associated with the estimate when the analyst uses a sample size of 400 observations is 3.78 percent.

Error formula for proportion:

Maximum possible error = z * √(p^ * (1-p^)/n)

Where z = 1.65 for 90 percent confidencep^

              = 0.3n

              = 400

Substitute the given values into the formula:

Maximum possible error = 1.65 * √(0.3 * (1-0.3)/400)

Maximum possible error = 1.65 * √(0.3 * 0.7/400)

Maximum possible error = 1.65 * √0.0021

Maximum possible error = 1.65 * 0.0458

Maximum possible error = 0.0756 or 7.56% (rounded to two decimal places)

b. The sample size that the analyst would need in order to have the maximum error be no more than ±5 percent can be calculated as follows:

Error formula for proportion:

Maximum possible error = z * √(p^ * (1-p^)/n)

Where z = 1.65 for 90 percent confidencep^ = 0.3n = ?

Maximum possible error = 0.05

Substitute the given values into the formula:

0.05 = 1.65 * √(0.3 * (1-0.3)/n)0.05/1.65

        = √(0.3 * (1-0.3)/n)0.0303

        = 0.3 * (1-0.3)/nn

        = 0.3 * (1-0.3)/(0.0303)n

        = 296.95 or 297 (rounded up to the nearest whole number)

Therefore, the sample size that the analyst would need in order to have the maximum error be no more than ±5 percent is 297 observations.

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The correct option is A) 9∕8, evaluating the exponent expression with a = -2 and b = 3, we find that the value is -8.

We are given the expression a^b, where a = -2 and b = 3. Substituting these values into the expression, we have (-2)^3.

To evaluate this expression, we raise -2 to the power of 3. When we raise a negative number to an odd power, the result will be a negative number.

So, (-2)^3 will yield a negative value.

Calculating (-2)^3, we multiply -2 by itself three times: (-2) × (-2) × (-2). This equals -8.

Therefore, the correct option is A) 9∕8 and the value of the exponent expression (-2)^3 is -8.

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The best graph for the cancer registrar to use in displaying the ten-year survival rates of breast cancer patients at the hospital would be a line graph. The answer is: c.

Line graphs are particularly useful for displaying trends over time, making them suitable for representing the ten-year survival rates of breast cancer patients. The x-axis can represent the years, while the y-axis can represent the survival rates.

Each point on the graph represents the survival rate for a specific year, and connecting these points with lines shows the overall trend over the ten-year period.

Line graphs are effective in illustrating changes and patterns in data, making them well-suited for displaying the progression of survival rates over time. They allow for a clear visualization of how survival rates may have increased, decreased, or remained stable over the ten-year period.

Hence, the correct option is c. Line graph.

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The hypotheses can be written as:

H0: p = 0.28

Ha: p ≠ 0.28

The null hypothesis (H0) is that the proportion of students who smoke regularly today (p) is equal to the proportion of students who smoked regularly last year (0.28). The alternative hypothesis (Ha) is that the proportion of students who smoke regularly today is different from 0.28.

This is a two-tailed test, as we are looking for a difference in either direction from the proportion found last year. A significance level (α) should be chosen in advance to determine the level of risk that we are willing to accept of rejecting the null hypothesis when it is actually true. Typically, a significance level of 0.05 is used, which means that we are willing to accept a 5% chance of making a type I error (rejecting the null hypothesis when it is actually true).

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Answer:

s= -5

Step-by-step explanation:

-8s + 16 = 56

Subtract 16 from both sides of the =, as this will cancel the + 16

-8s = 40

Divide both sides by -8, as this will cancel out the -8 beside the s

s = -5

The equation describing its terminal velocity as a function of time is given by v(t) = sqrt(g*A/0.01) for all t.

Given ODE is y′=xy3/(1+x2), y(0)=−1

Using separation of variables, we get,

y′/(y3 )=x/(1+x2)

Integrating both sides, we get, 1/(2y2)=1/2 ln |1+x2| + c

Now, using the initial condition, y=−1 when x=0, we get, c=1/2

We get, 1/(2y2)=1/2 ln |1+x2| + 1/2Solving for y, we get, y=±1/√[1+x2]

As we are given that y=−1 when x=0, we get the solution as, y=−1/√[1+x2]

Hence, the solution to the given IVP is y=−1/√[1+x2].

Solving the first order ODE given by tlntdtdr​ +r=te t

Here, we can see that this is a first order linear ODE of the form:

dy/dx +P(x)y=Q(x)

Where P(x)=1/x and Q(x)=xe^x

Integrating factor is given by: I.F. = e^(∫P(x)dx) = e^lnx = x

Now, using the I.F., we can write,

xdy/dx +y = xe^x

Multiplying both sides by I.F., we get,

d/dx (xy) = x^2e^x

Integrating both sides, we get,

xy = ∫x^2e^x dx=xe^x(x^2-2x+2)+c

Solving for y, we get, y=(x^2-2x+2)+c/x

Thus, the general solution to the given first order ODE is y=(x^2-2x+2)+c/x.e.

Given the inhomogeneous ODE,

ψ​ +2 ψ+50ψ=12cos5t+sin5t

This is a second order linear ODE with constant coefficients.

The characteristic equation is given by,m^2+2m+50=0

Solving for the roots, we get, m = -1 ± 7i

Thus, the homogeneous solution is given by, ψ_h = e^(-t)(C1 cos7t + C2 sin7t)

Using undetermined coefficients, let the particular solution be of the form,

ψ_p = A cos5t + B sin5t

Differentiating once and twice, we get,

ψ_p = -5A sin5t + 5B cos5t
ψ_p'' = -25A cos5t - 25B sin5t

Substituting the above in the ODE, we get,

-25A cos5t - 25B sin5t + 10A cos5t + 10B sin5t + 50(A cos5t + B sin5t) = 12 cos5t + sin5t

Simplifying the above equation, we get, 35A = 12 & 35B = 1

Hence, A=12/35 and B=1/35

Therefore, the particular solution is given by,

ψ_p = (12/35) cos5t + (1/35) sin5t

Thus, the general solution to the given inhomogeneous ODE is given by,

ψ = e^(-t)(C1 cos7t + C2 sin7t) + (12/35) cos5t + (1/35) sin5t.f.

Given equation describing the motion of a free-falling sandwich in air is given by,

dt/dv mv = mg - 0.01Av^2

Let m=0.25 kg, A=0.1x0.1=0.01 m^2 and g=9.8 m/s^2.

Let the terminal velocity be v_f.

As per the given equation, we can write, dt/dv mv + 0.01Av^2=mg

At terminal velocity, the sandwich reaches equilibrium and its acceleration becomes zero. Thus, we have,

dt/dv = 0 and v=v_f.

Substituting the above in the equation, we get,0 + 0.01Av_f^2=mg

Solving for v_f, we get,v_f = sqrt(g*A/0.01)

Thus, the equation describing its terminal velocity as a function of time is given by v(t) = sqrt(g*A/0.01) for all t.

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For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.

The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.

It measures the strength and direction of the relationship between two variables.

Ranging from -1 perfect negative correlation to 1 perfect positive correlation.

And with 0 indicating no correlation.

It is commonly used in research to examine the association between two variables.

Such as the relationship between height and weight, or between income and education level.

Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.

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The above question is incomplete, the complete question is:

The most common purpose for a Pearson correlation is to examine,

a. The relationship between 2 variables

b. Relationships among groups

c. Differences between variables

d. Differences between two or more groups

Answer:

432 square feet

Step-by-step explanation:

1) 12 * 12 = 144 (square feet) per room

2) Multiply by three b/c there are three rooms: 144 * 3 = 432

Answer:

2985984

Step-by-step explanation:

i think its right i might be wrong

The area of square abcd is  be parallel lines passing through $a$, $b$, $c$, respectively is the 433.

Squares are quadrilaterals with four congruent aspects and four proper angles, and additionally they have units of parallel aspects. Parallelograms are quadrilaterals with units of parallel aspects. Since squares have to be quadrilaterals with units of parallel aspects, then all squares are parallelograms.

Here we have the values the distance between lines a and b is 12, and the distance between lines b and c is 17.

The distance is 12 and 17

x^2 = 12^2 + 17^2 = 144 +289 = 433

433 is the total that is the area of square of abcd.

Thus the area = 433.

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So, 3.55 g of copper could be made from 4 g of copper oxide.

The formula for copper oxide to convert to copper is a chemical equation Cupric oxide, or copper (II) oxide, is an inorganic compound with the chemical formula CuO.

The correct option for calculating the degrees of freedom for the between-group estimate in ANOVA is: c. k - 1

Here's a step-by-step explanation:

1. ANOVA, or Analysis of Variance, is a statistical method used to compare the means of multiple groups to determine if there are significant differences between them. In this context, "k" represents the number of groups being compared, and "N" represents the total number of observations.

2. Degrees of freedom (df) are used in statistical tests to account for variability in the data. They are essentially the number of values that can vary independently in the calculation of a statistic.

3. In ANOVA, there are two types of degrees of freedom: between-group (df_between) and within-group (df_within).

4. To calculate the between-group degrees of freedom (df_between), we use the formula: df_between = k - 1. This is because there are k groups being compared, and each group contributes one degree of freedom, minus one since we are comparing the groups against each other.

5. The within-group degrees of freedom (df_within) would be calculated using the formula: df_within = N - k, which accounts for the total number of observations minus the number of groups.

In summary, to compute the degrees of freedom for the between-group estimate in ANOVA, you would use the formula df_between = k - 1.

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sketch of the line 4x + 3y = 11, slope (-4/3),  y-intercept of the line y = 11/3

Step 1: Convert the equation to slope-intercept form (y = mx + b) by solving for y:

3y = -4x + 11

y = (-4/3)x + 11/3

Step 2: Identify the slope and y-intercept:

From the equation in slope-intercept form, we can see that the slope (m) is -4/3 and the y-intercept (b) is 11/3.

Step 3: Plot the y-intercept:

On the y-axis, mark a point at y = 11/3 (approximately 3.67). This is the y-intercept of the line.

Step 4: Use the slope to find additional points:

Using the slope of -4/3, we can find other points on the line. The slope represents the change in y for every 1 unit change in x. So, starting from the y-intercept, we can move down 4 units and to the right 3 units to find the next point, and continue this pattern to find more points.

Step 5: Connect the points:

Once you have a few points on the line, you can connect them with a straight line. Make sure the line extends beyond the plotted points to show that it continues indefinitely.

The resulting line should have a negative slope (-4/3) and be slanting downward from left to right.

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Answer:

100. degrees was right for me so it could be for you

32 miles. ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.

To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.

The surface area of a sphere is given by the formula:

A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).

Differentiating both sides of the equation with respect to time t, we get:

dA/dt = 8πr(dr/dt).

We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.

Substituting these values into the equation, we have:

-1 = 8π(5)(dr/dt).

Simplifying, we get:

-1 = 40π(dr/dt).

Now, solving for dr/dt:

dr/dt = -1 / (40π).

Using a calculator, this evaluates to approximately -0.00798 cm/min.

Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.

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The constant of proportionality is y divided x so in this case will be:

The value of x is 0 degrees.

To find the value of angle XZW (denoted by x), we can use the information provided in the problem.

We know that angle YXZ is 26 degrees and angle Y and angle W are right angles, which means they are 90 degrees each.

In triangle XYZ, the sum of the angles is 180 degrees. Therefore, we can write the equation: angle YZX + angle YXZ + angle ZXY = 180 degrees.

Substituting the given values, we have: 64 degrees + 26 degrees + angle ZXY = 180 degrees.

Simplifying the equation, we get: angle ZXY = 90 degrees.

Now, we can look at triangle ZWX. We know that the sum of angles in a triangle is 180 degrees. Therefore, we can write the equation: angle ZWX + angle WXZ + angle XZW = 180 degrees.

Substituting the known values, we have: angle ZWX + 90 degrees + x degrees = 180 degrees.

Simplifying the equation, we get: angle ZWX + x degrees = 90 degrees.

Since we know that angle ZWX is 90 degrees (from the previous calculation), we can substitute it into the equation: 90 degrees + x degrees = 90 degrees.

Simplifying further, we have: x degrees = 0 degrees.

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Answer:

x=26 degrees

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is because when you dilate a triangle it gets larger and expands. This means that it changes its position.

The edges of the triangle will get larger so the perimeter will not stay the same but it will change. But, the new perimeter is going to be rationonal to the original one.

Answer: Non proportional

Step-by-step explanation:

To know if the values given are proportional or not, we will use the formula:

y = kx

where

y = number of organisms

x = number of minutes

k = constant of proportionality

After 5 minutes, a bacteria colony has 1.3 million organisms. Using the formula, y = kx

1,300,000 = 5k

k = 1,300,000 / 5

k = 260,000

After 12 minutes, the same colony has 41.5 million organisms. Using y= kx

41,500,000 = 12x

x = 41500000 / 12

x = 3458333.8

After 15 minutes, the colony has grown to 101.3 million organisms.

y = kx

101,300,000 = 15k

k = 101,300,000 / 15

k = 6753333.8

It is a non-proportional relationship as the constant of proportionality is different for each.

Answer:

Point T is on a line segment SU. Given SU=4x+1, TU=3x, and ST=3x-1, determine the numerical length of SU

Step-by-step explanation:

By the segment addition rule, length of ST + length TU equals length of SU so 3x -1 + 3x = 4x + 1 6x - 1 = 4x + 1 2x = 2 x = 1 substituting value of x back into formula for length of SU: 4 (1) + 1 = 5

Answer:

I think its c but just so you know I'm not really smart so I might be wrong

Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!