a blueprint for a house has a scale of 1:25 a wall in the blueprint is 3 inches what is the length of the actual wall in feet

The point prevalence of brilliance at the end of Week 1 is 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 is 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 is 0.33 or 33%.

Using person-weeks as denominator, the incidence of brilliance over the course of the 10-week course is 0.017 or 1.7%

In epidemiology context, brilliance can be calculated through calculating point prevalence, cumulative incidence, and incidence rate. The provided data table can be used to determine the point prevalence, incidence, and incidence rate of brilliance among PHE 450 students. So, the calculations of point prevalence, cumulative incidence, and incidence rate based on the provided data are as follows:

The point prevalence of brilliance at the end of Week 1 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #8 was the only existing case of brilliance at the beginning of Week 1, so the point prevalence of brilliance at the end of Week 1 is; Point prevalence = 1 ÷ 12 = 0.08 or 8%.

The point prevalence of brilliance at the end of Week 2 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3 and Student #8 were existing cases of brilliance at the beginning of Week 2, so the point prevalence of brilliance at the end of Week 2 is; Point prevalence = 2 ÷ 12 = 0.17 or 17%.

The point prevalence of brilliance at the end of Week 3 can be calculated by the following formula; Point prevalence = Total number of existing cases at a given time ÷ Total population at that time

Student #3, #4, #6, and #8 were existing cases of brilliance at the beginning of Week 3, so the point prevalence of brilliance at the end of Week 3 is; Point prevalence = 4 ÷ 12 = 0.33 or 33%.

The incidence of brilliance can be calculated by the following formula; Incidence = Total number of new cases ÷ Total person-weeks of observation

Student #5 and Student #7 developed brilliance during the 10-week course, so the incidence of brilliance over the course of the 10-week course is; Incidence = 2 ÷ 120 = 0.017 or 1.7%.

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Answer:

you have already choose correct  one's

BC=DC

Step-by-step explanation:

A significance level of 0.10, we have enough evidence to conclude that the new copy machines have a significantly faster mean repair time compared to the older model.

To test if the new copy machines are faster to repair, we can set up the following null and alternative hypotheses:

Null Hypothesis (H₀): The mean repair time for the new copy machines is the same as the mean repair time for the older model.

Alternative Hypothesis (H₁): The mean repair time for the new copy machines is less than the mean repair time for the older model.

Let's perform a one-sample t-test to test these hypotheses. The test statistic is calculated as:

t = (sample mean - population mean) / (sample standard deviation / √(sample size))

Given:

Population mean (μ) = 93 minutes

Sample mean (\(\bar x\)) = 86.8 minutes

Sample standard deviation (s) = 14.6 minutes

Sample size (n) = 18

Significance level (α) = 0.10

Calculating the test statistic:

t = (86.8 - 93) / (14.6 / sqrt(18))

t = -6.2 / (14.6 / 4.24264)

t ≈ -2.677

The degrees of freedom for this test is n - 1 = 18 - 1 = 17.

Now, we need to determine the critical value for the t-distribution with 17 degrees of freedom and a one-tailed test at a significance level of 0.10. Consulting a t-table or using statistical software, the critical value is approximately -1.333.

Since the test statistic (t = -2.677) is less than the critical value (-1.333), we reject the null hypothesis.

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The ∆ABC is an isosceles triangle and have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

An isosceles triangle have the measure of its base angles to be equal, and the sum of the interior angles sum up to 180°.

Given that sides AB ≅ BC, then the triangle ∆ABC has two sides with similar length and base angles so;

angles m∠A and m∠C are the base angles are both equal to 51°

m∠B = 180° - (51 + 51)° {sum of interior angles of a triangle}

m∠B = 180° - 102°

m∠B = 78°

Therefore, the isosceles triangle ∆ABC have the base angles m∠A and m∠C equal to 51° and the angle m∠B is equal to 78°.

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We can state this by responding to the provided question B, D, and E are expressions the expressions that have values of 1/6.

Mathematical operations include doubling, dividing, adding, and subtracting. A phrase is constructed as follows: Expression, monetary value, and mathematical operation Numbers, parameters, and functions make up a mathematical expression. It is possible to use words and terms in contrast. Every mathematical statement including variables, numbers, and a mathematical operation between them is called an expression, sometimes referred to as an algebraic expression.

We need to simplify each expression to see which ones are equivalent to 1/6:

6. 1/6 is not equivalent to 6/1.

B. 3÷18 = 1/6

C. 2/3 of 2 equals 6 (not equivalent to 1/6)

D. 1÷6 = 1/6

E. 1/3 ÷ 2 = 1/6

B, D, and E are the expressions that have values of 1/6.

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Answer:

A set is well-defined so that we can always tell what is and what is not a member of the set

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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The system has a unique solution because the values of X1, X2 and X3 are known and unique on each pivot.

Let's assume that we have a matrix of order 3x3 and in each column, there is a pivot variable.

A pivot is a leading coefficient in a  row of a matrix.  In reduced row-echelon form, a pivot is positioned to where the (1) value is located in a reduced matrix.

If the system or the three equations have a pivot in each column of the matrix, then we conclude that there are unique values of X1, X2 and X3 and they are known and unique.

Also note that there is a unique intersection point from these equations on a cartesian plane, and therefore the variables are unique.

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Inequalities are used to represent unequal expressions.

The inequality is given as:

\(x - 1 < 7\)

Add 1 to both sides

\(x - 1+1 < 7 +1\)

\(x < 8\)

As a set builder, the inequality is:

\(\{x\ \in \ R, \ x < 8\}\)

Where: R represents real numbers

As an interval notation, the inequality is:

\((-\infty, 8)\)

The above interval implies that;

The value of x is less than 8

See attachment for the graph of \(x < 8\)

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The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:

d = √((x2 - x1)² + (y2 - y1)²)

where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:

d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1

Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.

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A triangle's circumcenter is where the perpendicular bisectors of its sides meet. The line that cuts through the middle of a side and is perpendicular to it is known as the perpendicular bisector of the side.

The circumcenter, which is sometimes represented by the letter O, is situated at the point where the three perpendicular bisectors intersect. The circumcenter of a triangle is the center of the circle that passes through all three vertices of the triangle. Therefore, the circumcenter is equidistant from the three vertices of the triangle, and its distance from each vertex is equal to the radius of the circumcircle.

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The difference in the mean heights of Han and Priya's samples do not surpise me.

A sample is a smaller group of the population. A sample is sometimes needed as it might not be feasible to survey all the population due to large numbers. It might also not be  cost effective to access the whole population.

Han and Priya would measure different students, so it is expected that the mean heights would be different.

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Answer: How can you tell whether X and Y are proportional?

Step-by-step explanation: How can you tell whether X and Y are proportional?

To know if a relationship is proportional, you should look at the ratios between the two variables. If the ratio is always the same, the relationship is proportional. If the ratio changes, the relationship is not proportional. please select brainiest if right

Igor has not been skiing in 10 years. however, when he gets on his skis, his body remembers exactly how to ski. the kind of memory that makes it possible for him to remember how to ski is procedural.

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Step-by-step explanation:

did you already finish with this or can I still help?

Answer:

-5 1/4 x -3

Step-by-step explanation:

Since f is continuous, we can use the substitution u = 2x to get ∫ 2 0 f(2x)dx = (1/2)∫ 4 0 f(u)du.
Therefore, ∫ 2 0 f(2x)dx = (1/2)∫ 4 0 f(u)du = (1/2)(10) = 5.

So the value of ∫ 2 0 f(2x)dx is 5.
Given that f is continuous and ∫₀⁴ f(x)dx = 10, we need to find ∫₀² f(2x)dx. To do this, let's use substitution: let u = 2x. Then, du/dx = 2, and dx = du/2.
Now, we substitute the limits of integration:
When x = 0, u = 2(0) = 0.
When x = 2, u = 2(2) = 4.
The integral becomes ∫₀⁴ f(u) (du/2). To solve, we factor out the constant 1/2:
(1/2) ∫₀⁴ f(u)du.
Since ∫₀⁴ f(x)dx = 10, we can replace the integral:
(1/2) * 10 = 5.
Thus, ∫₀² f(2x)dx = 5.

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Answer:

8 inches

Step-by-step explanation:

The volume of a hemisphere is half the volume of a sphere.

Therefore, the sum of the volumes of the two hemisphere-shaped scoops of ice cream (with diameters of 4 inches), is equal to the volume of a sphere with diameter of 4 inches.

If the melted ice cream fills the cone exactly to the top without overflowing, the volume of the cone with diameter of 4 inches must be equal to the volume of a sphere with diameter of 4 inches.

As the diameter of a circle is twice its radius, then the radius of the sphere and cone is r = 2 inches.

The formulas for the volume of a cone and the volume of a sphere are:

\(\boxed{\begin{minipage}{4 cm}\underline{Volume of a cone}\\\\$V=\dfrac{1}{3} \pi r^2 h$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius. \\ \phantom{ww}$\bullet$ $h$ is the height.\\\end{minipage}}\)   \(\boxed{\begin{minipage}{4 cm}\underline{Volume of a sphere}\\\\$V=\dfrac{4}{3} \pi r^3$\\\\where:\\ \phantom{ww}$\bullet$ $r$ is the radius.\\\\\end{minipage}}\)

The depth of the cone is its height.

Therefore, to calculate how deep the cone must be so that the melted ice cream will fill the cone exactly to the top without overflowing, set the two equations equal to each other, substitute r = 2, and solve for h (the depth of the cone).

\(\begin{aligned}\textsf{Volume of a cone}&=\textsf{Volume of a sphere}\\\\\dfrac{1}{3} \pi (2)^2 h & = \dfrac{4}{3} \pi (2)^3\\\\\dfrac{1}{3} \pi \cdot 4 h & = \dfrac{4}{3} \pi \cdot 8\\\\\dfrac{4}{3} \pi h& = \dfrac{32}{3} \pi \\\\\dfrac{4}{3} h& = \dfrac{32}{3} \\\\4 h& = 32 \\\\h&=\dfrac{32}{4}\\\\h&=8\; \sf inches\end{aligned}\)

Therefore, the depth of the cone must be 8 inches.

The cone must be at least 8 inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing.

1. The opening of the ice cream cone has a diameter of 4 inches. This means that the radius of the cone's opening is 4/2 = 2 inches.

2. The two hemisphere-shaped scoops of ice cream have diameters of 4 inches each. This means that the radius of each scoop is 4/2 = 2 inches.

3. When the ice cream melts, it will take up the space between the scoops and fill the cone. In order for the melted ice cream to fill the cone exactly to the top without overflowing, the depth of the cone must be equal to the combined height of the two ice cream scoops.

4. The height of each hemisphere-shaped scoop can be calculated using the formula for the volume of a sphere, which is (4/3)πr³, where r is the radius.

  - For each scoop, the radius is 2 inches, so the height of each scoop is (4/3)π(2)³ = (4/3)π(8) = (32/3)π.

5. Since there are two scoops, the combined height of the two scoops is 2 * (32/3)π = (64/3)π.

6. Therefore, the cone must be at least (64/3)π inches deep in order for the melted ice cream to fill the cone exactly to the top without overflowing. This is approximately equal to 67.03 inches.

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The probability that a randomly chosen buyer is an adult or purchased a clock scented like cotton candy is 1, which is equivalent to 100%.

To find the probability that a randomly chosen buyer is an adult or purchased a clock scented like cotton candy, we can use the concept of probability union.

Let A be the event that a buyer is an adult and C be the event that a buyer purchased a clock scented like cotton candy.

We are given:

P(A) = 0.9 (probability that a buyer is an adult)

P(C) = 0.9 (probability that a buyer purchased a clock scented like cotton candy)

P(A and C) = 0.8 (probability that a buyer is an adult and purchased a clock scented like cotton candy)

The probability of the union of two events A and C is given by:

P(A or C) = P(A) + P(C) - P(A and C)

Substituting the given values:

P(A or C) = 0.9 + 0.9 - 0.8

P(A or C) = 1.8 - 0.8

P(A or C) = 1

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As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

If there is a low supply and a high demand, there is an increase in price and vice versa.

Last 2012, there was a virus which infected millions of chicken. It was known as Avian influenza or bird flu. It resulted to scarcity of eggs.

As the law of supply and demand states, there is an effect on the price of a product depending on its availability.

For example we can use water. If a product becomes scarce its price would increase due to supply in demand.

If drinkable water became scarce its price would be greatly increased to its need and being in extreme demand.

In short,  if there is a low supply and a high demand, there is an increase in price and vice versa.

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Answer:

2 * pi * 42 meters

Step-by-step explanation:

One round means a parameter of the circle

Answer:

11) y= -1x-2

12) y= 3/2x+3

13) y= 3x-2

14) y= 3/4x+1

15) y= 1/2x+1

16) y= -2/5x+0

17) y=7x+2

18) y= 4/3x-4

Step-by-step explanation:

y=mx+b

m is slope and b is y intercept

Answer:

{-10, 10)

Step-by-step explanation:

| | - means to only take the number inside, not the sign

x=-10 or 10

Answer:

i dont understand what you want me to answer

Step-by-step explanation:

The given production function Y = zK^2N^2 does not satisfy all of the properties of production functions. It violates the property of constant returns to scale.

A production function is a mathematical representation of the relationship between inputs (factors of production) and outputs (goods or services). It is expected to satisfy certain properties for it to be considered a valid production function.

One of the key properties of production functions is constant returns to scale, which means that if all inputs are scaled up or down proportionally, the output should also be scaled up or down by the same factor. In the given production function Y = zK^2N^2, we can observe that the exponents of both capital (K) and labor (N) are 2. This implies that doubling both inputs should result in a quadrupling of output (2^2 * 2^2 = 4). However, this violates the principle of constant returns to scale, as the output is increasing at an increasing rate, not a constant rate.

Therefore, the given production function fails to satisfy the property of constant returns to scale. Other properties such as positive marginal products and non-negativity of inputs may still hold, but without constant returns to scale, the production function does not conform to all the expected properties.

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The correct option is; 4: this contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3.

The function being used is;

f(x) = (x - 3)⁻²

If we separate this function according to x, we obtain;

f'(x) = -2/(x - 3)³

Finding all c values f(7) − f(1) = f '(c)(7 − 1).is our goal.

This suggests that;

0.06 - 0.25 = -2/(c - 3)³ x 6

-0.19 =  -12/(c - 3)³

(c - 3)³ = 63.157

c = 6.98

If the Mean Value Theorem holds for this function, then f must be continuous on [1,7] and differentiable on (1,7).

But when x = 3, f is not continuous, hence the Mean Value Theorem's prediction is false.

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The complete question is-

Let f(x) = (x − 3)−2. Find all values of c in (1, 7) such that f(7) − f(1) = f '(c)(7 − 1). (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) c = Based off of this information, what conclusions can be made about the Mean Value Theorem?

When the numbers 48x^2, 64x^4, x, and 36x^2 are in proportion, the value of x is 27.

The given numbers 48x^2, 64x^4, x, and 36x^2 are in proportion. To find the value of x, we can use the concept of proportionality.

In a proportion, the cross products are equal. Therefore, we can set up the following equation:

(48x^2)(36x^2) = (64x^4)(x)

Simplifying the equation:

1728x^4 = 64x^5

To solve for x, we can divide both sides of the equation by x^4:

1728 = 64x

Dividing both sides by 64:

27 = x

Therefore, the value of x in the given proportion is x = 27.

In summary, when the numbers 48x^2, 64x^4, x, and 36x^2 are in proportion, the value of x is 27.

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Answer:

x=21/40

Step-by-step explanation:

First get common denominators

3/8 *5 to top and bottom is now 15/40

3/20 *2 to top and bottom is now 6/40

isolate the X

x-15/40=6/40

+15/40    +15/40

x=21/40

Answer:

x = \(\frac{21}{40}\)

Step-by-step explanation:

Given

x - \(\frac{3}{8}\) = \(\frac{3}{20}\)

Multiply through by 40 ( the LCM of 8 and 20 ) to clear the fractions

40x - 15 = 6 ( add 15 to both sides )

40x = 21 ( divide both sides by 40 )

x = \(\frac{21}{40}\)

The slope of the sample regression line is approximately -0.000218.

To calculate the slope of the sample regression line for the given data, we will use the formula:

slope (b) = (Σ(xiyi) - (Σxi)(Σyi)/n) / (Σ(xi^2) - (Σxi)^2/n)

where

Σyi = 12.75,

Σxi = 1478,

Σ(xi^2) = 143,215.8,

Σxiyi = 1083.67,

and n = 20 observations.

Step 1: Calculate the numerator. (Σ(xiyi) - (Σxi)(Σyi)/n) = (1083.67 - (1478)(12.75)/20)

Step 2: Calculate the denominator. (Σ(xi^2) - (Σxi)^2/n) = (143,215.8 - (1478)^2/20)

Step 3: Divide the numerator by the denominator to find the slope.

slope (b) = (1083.67 - (1478)(12.75)/20) / (143,215.8 - (1478)^2/20)

By calculating the above expression, you will find the slope of the sample regression line. The slope of the sample regression line is approximately -0.000218.

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Answer:

all 3 options are true : A, B, C

Step-by-step explanation:

warning : it has come to my attention that some testing systems have an incorrect answer stored as right answer for this problem.

they say that A and C are correct.

but I am going to show you that if A and C are correct, then also B must be correct.

therefore, my given answer above is the actual correct answer (no matter what the test systems say).

originally the information about the alignment of the point F in relation to point E was missing.

therefore, I considered both options :

1. F is on the same vertical line as E.

2. F is not on the same vertical line as E.

because of optical reasons (and the - incomplete - expected correct answers of A and C confirm that) I used the 1. assumption for the provided answer :

the vertical line of EF is like a mirror between the left and the right half of the picture.

A is mirrored across the vertical line resulting in B. and vice versa.

the same for C and D.

this leads to the effect that all 3 given congruence relationships are true.

if we consider assumption 2, none of the 3 answer options could be true.

but if the assumptions are true, then all 3 options have to be true.

now, for the "why" :

remember what congruence means :

both shapes, after turning and rotating, can be laid on top of each other, and nothing "sticks out", they are covering each other perfectly.

for that to be possible, both shapes must have the same basic structure (like number of sides and vertices), both shapes must have the same side lengths and also equally sized angles.

so, when EF is a mirror, then each side is an exact copy of the other, just left/right being turned.

therefore, yes absolutely, CAD is congruent with CBD. and ACB is congruent to ADB.

but do you notice something ?

both mentioned triangles on the left side contain the side AC, and both triangles in the right side contain the side BD.

now, if the triangles are congruent, that means that each of the 3 sides must have an equally long corresponding side in the other triangle.

therefore, AC must be equal to BD.

and that means that AC is congruent to BD.

because lines have no other congruent criteria - only the lengths must be identical.