suppose a random sample of 40 houses are selected from the city. estimate the probability that the mean value of the 40 houses is less than $500,000 . show your work

A) The average velocity for the time period [1, 1.01] is equals to the -22.23 ft/s.

ii) The average velocity for the time period [1, 1.005] is equals to -22.115 ft/s.

iii) The average velocity for the time period [1, 1.001] is equals to -22.023 ft/s.

B) The estimate value of the instanteneous velocity when t = 1s is equals to -22 ft/s.

The average velocity over an interval [a,b] for a defined position function f(t) can be displayed by the difference quotient {f(b)-f(a)}/{b-a}. When these two points come very close to each other and at any point both of them appear almost the same point then the average velocity becomes instantaneous velocity at that time, which is also the derivative of the function at that point. We have, baby alien throw a ball into the air with a velocity of 24 ft/s on planet. The height in feet or

the displacement relation is defined as ,

y (t) = 24t - 23t².

where, y--> displacement/height

t --> time

Initial time , to = 1 sec

Therefore, the velocity will be

dy/dt = v(t) = 24 - 46t

A) The average velocity on an interval [a,b] is

Vₐᵥ = { y( b) - y(a) }/(b - a)

Now, see the intervals ,

Vₐᵥ = {y( 1.01) - y(1)}/(1.01 - 1)

= {24(1.01) - 23(1.01)² - 24×1 + 23× 1 }/0.01

= {24.24 - 24 - 23.4623 + 23}/0.01

= - 22.23 ft/s

Vₐᵥ = {y( 1.005) - y(1)}/(1.005 - 1)

= {24(1.005) - 23(1.005)² - 24×1 + 23× 1 }/0.005

= -22.115 ft/s

Vₐᵥ = {y( 1.001) - y(1)}/(1.001 - 1)

= {24(1.001) - 23(1.001)² - 24×1 + 23× 1 }/0.001 = { 24.024 - 24 + 23 - 23(1.001)²}/0.001 = - 22.023 ft/s

B) The instanteneous velocity is defined as V (t) = dy/dt = 24 - 46t

At t = 1 s then V(t) = 24 - 46(1) = 24 - 46

=> V = - 22 ft/s

Hence, instanteneous velocity is - 22 ft/s.

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Complete question:

A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a velocity of 24 ft/s. Its height in feet after t seconds is given by y = 24t - 23t².

A. Find the average velocity for the time period beginning when t=1 and lasting

.01 s:

.005 s:

.001 s:

NOTE: For the above answers, you may have to enter 2 or 3 significant digits if you are using a calculator.

B. Estimate the instanteneous velocity when t=1.

The Correct answers are:

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

Given:

We have to find 70% of 42.

So, first Determine 1% of 42, and multiply the result by 70.

= 42 x 0.01 x 70

= 29.4

second, Determine 10% of 42, and multiply the result by 7.

= 42 x 0.1 x 7

= 29.4

Third, Determine 1% of 42, and multiply the result by 7.

= 42 x 0.01 x 7

= 2.94

Fourth, Determine 10% of 42, and multiply the result by 70.

= 42 x 0.10 x 70

= 294

and, the 70% of 42 = 0.7 x 42 = 29.4

Thus, the correct statement are:

Determine 1% of 42, and multiply the result by 70.

Determine 10% of 42, and multiply the result by 7.

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The triangles are similar by SSS.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

The sides of first triangle are, 6, 9.6, 12.3

And, The sides of second triangle are, 2, 3.2, 4.1

Now, The ratio of corresponding sides of triangle are,

⇒ 6 / 2 = 3

⇒ 9.6 / 3.2 = 3

⇒ 12.3 / 4.1 = 3

Thus, The triangles are similar by SSS.

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Without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.

The probability of landing a bottle on the floor on any given try is a fixed value, typically represented by "p".

The probability that he will land the bottle on the floor on the tenth try is then given by:

P(tenth attempt landing) = (1 - p)9 * p

where (1 - p)9 represents the probability that he fails to land the bottle on the floor in the first nine attempts, and p represents the probability that he lands the bottle on the floor on the tenth attempt.

However, without more information about the specific situation (such as the height from which the bottle is dropped, the surface on which it is dropped, and so on), a value for p cannot be determined.

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The Wi-Fi Alliance is responsible for validating WLAN standards interoperability testing.

The Wi-Fi Alliance is a global non-profit industry association that is responsible for certifying the interoperability of wireless products based on the IEEE 802.11 family of standards. The Wi-Fi Alliance is responsible for certifying WLAN standards interoperability testing, which ensures that wireless products from different vendors are able to communicate with each other. The organisation also certifies products for compliance with various security standards.

The complete question is :

Which of the following organizations is responsible for validating WLAN standards interoperability testing?

A. The Wi-Fi Alliance

B. The Bluetooth Special Interest Group

C. The Institute of Electrical and Electronics Engineers

D. The World Wide Web Consortium

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The displacement of the particle at t = 1 second is -3 .meters

The displacement of a particle in a straight line can be calculated using the following formula:  Displacement (d) = 2sin(πt) + 3cos(πt). This formula takes into consideration the sine and cosine of the angle, pi (π), multiplied by the time (t). The sine of the angle represents the vertical displacement, while the cosine represents the horizontal displacement.

For example, let's say we want to calculate the displacement of a particle at t = 1 second. First, we'll plug in the values into the formula:

d = 2sin(πt) + 3cos(πt)

d = 2sin(π*1) + 3cos(π*1)

d = 2sin(π) + 3cos(π)

d = 0 + (-3)

d = -3

Therefore, the displacement of the particle at t = 1 second is -3 meters.

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The format of the equation that shown below:

We know that the standard form of the parabola is y=ax²+bx+c. Thus, the vertex form of a parabola is y = a(x-h)² + k.

Given:

The General form of Vertex form is

y = a(x - h)² + k

where (h, k) are the vertex.

For Example, Pick a point on the graph other than the vertex.  Let's say you see the line pass through (1,5) and the vertex is at (3,4)

First the vertex gives

y = a (x - 3)² + 4

Put the values (1,5) into this equation.

5 = a (1 - 3)² + 4

Solve for a

5 = a x (-2)2 + 4

5 = 4a + 4

1 = 4a

1/4 = a

and, the vertex form of parabola is y = 1/4(x - 3)² + 4.

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The correct answer is option A. The empirical rule provides precise statements regarding 1, 2, or 3 standard deviations.

The Empirical Rule, also known as the 68-95-99.7 rule, states that for a normal distribution (or approximately normal distribution), about 68% of the data falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. This rule assumes that the mean, median, and mode are equal and the data is symmetrical.

It is a quick and easy way to get a rough estimate of the spread of data in a normal distribution and the proportion of values that fall within certain intervals. However, it should be noted that this is an approximation and not always accurate, especially for distributions that are not close to being normal.

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Complete Question:

When applicable, the empirical rule provides the approximate percentage of observations that fall within how many standard deviations from the mean?

A. 1, 2, or 3 standard deviations

B. 4, 6, or 9 standard deviations

C. 2, 2, or 7 standard deviations

Answer:

15

Step-by-step explanation:

since the graph is proportional we can divide 30 by 2 we get 15

to double check we will divide 60 by 4 and we also get 15

so 15 pies are produced every hour

Answer:

y = 8

Step-by-step explanation:

2/3 x+1/2y = 2

2/3 x - y = -10

3/2y = 12

y = 8

By solving a system of equations we will see that:

x = 39

y = 123

First, we know that the sum of the 3 angles on the bottom part should be equal to 180°, then we can write:

(x - 10) + y + (x - 11) = 180

And the angle on the top is a vertical angle to the one that measures y degrees, then:

3x + 6 = y

So we have a little system of equations:

(x - 10) + y + (x - 11) = 180

3x + 6 = y

Replacing the second equation into the first one, we get:

(x - 10) + (3x + 6) + (x - 11) = 180

5x - 15 = 180

5x = 180 + 15

x = 195/5

x = 39

And the value of y is:

3*39 + 6 = y

123 = y

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Answer:

Step-by-step explanation:

Perimeter:

2(9x) + 2(2x + 7)

18x + 4x + 14 = 22x + 14

Area:

9x(2x + 7)

18x^2 + 63x

9x(2x + 7)

Answer:

hi !!

Step-by-step explanation:

first the domain of f(x) : 2*-1 -1 < 2x-1 < 2*4 -1 = -3 <2x-1 < 7

now the domain of g(x) : 4/(3-2) < 4/(x-2) < 4/(5-2) = 1.3 < 4/(x-2) < 4

now h(x) = -3 - 1.3 <f(x) - g(x) < 7-4 = - 4.3 < f(x) - g(x) < 3

it is the answer e : None of the Above

Answer:

(-7, 8)

Step-by-step explanation:

Hope it helps! =D

this is therefore a second order reaction  Rate = k [a]²

first lets tabulate the data

                [a]                              rate  (m/s)

             0.10                           10.010

             0.01                            0.024

             0.40                             0.096          

x - order of reaction with respect to a

since a is the only reactant, the order with respect to a is the order of the reaction

rate equation;

Rate = k [a]ˣ

where k - rate constant

substituting rate values and [a]

0.010  = k[0.15 ]ˣ----1)

0.040  = k [0.30]ˣ----2)

divide 2 by 1

4 = 2ˣ

x = 2

therefore order with respect to a is 2

this is therefore a second order reaction

Rate = k [a]²

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The point slope form of the equation of the line through the given point with the given slope is y - 4 = -2(x + 1).

The equation in slope intercept form is y = -2x + 2.

Mathematically, the point-slope form of a straight line can be calculated by using this mathematical expression:

y - y₁ = m(x - x₁)

Where:

At data point (-1, 4), a linear equation of this line can be calculated in point-slope form as follows:

y - y₁ = m(x - x₁)

y - 4 = -2(x - (-1))

y - 4 = -2(x + 1)

Next, we would rewrite the equation in slope-intercept form as follows;

y - 4 = -2(x + 1)

y = -2x - 2 + 4

y = -2x + 2

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The function shown in the graph must be the function f(x)=2×4ˣ

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here: f(x)=abˣ and when x is equal to 0 then f(0)=2

also if x increases by the functions gets multiplied by 4

Thus if f(0)=2 then f(1)= 8 , f(2)=32

or the function can be rewritten as f(x)=2×4ˣ

Thus f(0)=2×4⁰

              =2

f(1)=2×4¹

Hence, The function shown in the graph must be the function f(x)=2×4ˣ

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The property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given inequality is 19 < 4x - 5

By the addition property, add 5 on both sides

19 + 5 < 4x - 5 + 5

24<4x

By Multiplication and division property, divide both sides by 4

(1/4)24<(1/4)4x

6<x

Hence, the property that justifies the work between Step 3 and Step 4 is the property of real numbers under multiplication and division.

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The required algebraic form of the given radical form ∛a is [tex]a^{1/3}[/tex].

The algebraic expression consists of constant and variable. eg x, y, z, etc.

Here,
Given expression,

= ∛a

since we know that, [tex]a^{1/n} = \sqrt[n]{a}[/tex]
So ∛a = [tex]a^{1/3}[/tex].

Thus, the required algebraic form of the given radical form ∛a is [tex]a^{1/3}[/tex].

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The region along the horizontal axis where the net electric field is zero is region C.

In region C, the electric field produced by the positive charge is equal and opposite to the electric field produced by the negative charge. Therefore, the net electric field in this region is zero. The electric field is proportional to the gradient of the potential, and thus, the potential is constant in region C. Points in region C are equipotential points, meaning that they have the same electrical potential and the electric field is perpendicular to the equipotential surface.

In regions A, B, D, and E, the electric field is non-zero because the charges are not symmetrically placed with respect to the point in question, and thus, the electric field will have a net non-zero value in these regions.

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The equation of the tangent at (2,7) is y = 4x - 1.y = x^2 + 3; t = 2

Given: y = x^2 + 3 and t = 2

We need to find the equation of the tangent at (2,7).

First, we find the slope of the tangent line by taking the derivative of the function:

y' = 2x

At x = 2, the slope is 2*2 = 4.

Now, we can use the point-slope form of the equation of a line to find the equation of the tangent line:

y - y1 = m(x - x1)

y - 7 = 4(x - 2)

Simplifying:

y = 4x - 1

Therefore, the equation of the tangent at (2,7) is y = 4x - 1.

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The researcher could then compare the effectiveness of the other treatment groups to the control group and determine which treatment is most effective for treating insomnia.

The researcher would utilize the following formula to calculate the effectiveness of the different insomnia treatments:

Effectiveness = (Average Hours Slept in Treatment Group - Average Hours Slept in Control Group) / Average Hours Slept in Control Grou

For example, if the average hours slept in the treatment group is 8 hours and the average hours slept in the control group is 6 hours, then the effectiveness follows:

Effectiveness = (8-6) / 6 = 0.33 or 33%

This would indicate that the treatment is 33% more effective than the placebo in increasing the amount of sleep per night. The researcher could then compare the effectiveness of the other treatment groups to the control group and determine which treatment is most effective for treating insomnia.

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Answer:

100.2

Step-by-step explanation:if its the lateral height of 4 it has to 420

The proportion of stocks with returns of less than 10% is 43%.

To find the proportion of stocks with returns of less than 10%, we add up the frequencies of the first two classes in the frequency distribution: 8 + 25 = 33. This number represents the total number of stocks with returns of less than 10%. To find the proportion, we divide this number by the total number of stocks (50) and multiply by 100%: (33/50) * 100% = 66%. This means that 66% of the stocks had returns less than 10%.

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Answer:  57 1/3

Step-by-step explanation:

Area = (height * base) divided by 2

A = (b*h)/2

10 3/4 times 10 2/3 = 114 2/3

114 2/3 divided by 2 is 57 1/3

Answer: 57 1/3

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

A=1/2* 10 3/4* 10 2/3

1/2* 10 3/4= 5 3/8

5 3/8 * 10 2/3 =57 1/3

Step-by-step explanation: Hope this helps!! :)) Mark me brainliest ! :))

The components of the force exerted on the plate at C are 1080N in the x direction and 1060N in the y direction.

The forces exerted on the plate at C can be determined using the equations of equilibrium. According to the equation of equilibrium, the sum of the forces in the x and y direction must be equal to zero. Therefore, we can calculate the x and y components of the force as follows:

Fx = 0 = Tcos(theta) – Fc

Fy = 0 = Tsin(theta) – Fb

Where T is the tension in the cable AC, theta is the angle of the cable AC, Fc is the force in the x direction, and Fb is the force in the y direction.

Using the given information, we can solve for Fc and Fb as follows:

Fc = Tcos(theta) = 2140N * cos(60°) = 1080N

Fb = Tsin(theta) = 2140N * sin(60°) = 1060N

Therefore, the components of the force exerted on the plate at C are 1080N in the x direction and 1060N in the y direction.

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The accounts receivable turnover in 20Y3, and 20Y2 are 5. 9 and 5. 4 respectively.

The accounts receivable turnover for Henock can be found by the formula :

= Sales / Average assets

For the year 20Y3, the accounts receivable turnover would be:

= 646, 050 / ( ( 106, 000 + 113, 000 ) / 2 )

= 646, 050 / 109, 500

= 5. 9

For year 20Y2, the accounts receivable turnover is:

= 630, 720 / ( ( 113, 000 + 120, 600 ) / 2 )

= 630, 720 / 116, 800

= 5. 4

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The full question is:

The following data are taken from henock plc.

Terms of all sales are 2/10, n/45. 20Y3 20Y2 20Y1 Accounts receivable, end of year $106,000 $113,000 $120,600 Sales on account 646,050 630,720.

For 20Y2 and 20Y3, determine (1) the accounts receivable turnover

The solution is, he have after his birthday total cards 79 cards.

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

Gil got 4 packages of trading cards.

He already had 75 cards.

so,

he have after his birthday total cards = 75 +4

                                                              = 79 cards

Hence, The solution is, he have after his birthday total cards 79 cards.

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Neither statement "E and F are always independent" nor "E and F are always dependent" is correct for mutually exclusive events E and F with positive probabilities p(e)>0 and p(f)>0.

Events that are mutually exclusive cannot occur at the same time. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 2 on a fair die", These events cannot occur simultaneously since a 1 and a 2 cannot be rolled.

In probability theory, two events E and F are considered independent if the occurrence of one event has no effect on the probability of the other event occurring. For example, if we have two events E and F such that E represents "rolling a 1 on a fair die" and F represents "rolling a 6 on a fair die", these events are independent because the occurrence of one event (rolling a 1) does not affect the probability of the other event (rolling a 6) occurring.

In the case where events E and F are mutually exclusive, their occurrence does affect each other, as the occurrence of one event makes it impossible for the other event to occur. Therefore, the statement "E and F are always independent" is not correct. Similarly, the statement "E and F are always dependent" is also not correct because dependence is a different concept from mutual exclusiveness.

Therefore, "Neither of the above statements is correct" is the appropriate response.

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The complete question is:

Which of the following statements is correct if e and f are mutually exclusive and p(e)>0 and p(f)>0?

a) E and F are always independent

b) E and F are always dependent

c) Neither of the above statement is correct