A physical Therapist wants to come the difference to proportion of men and women who participate in regular sustained physical activity What should be obtained if wishes the estimate to be within five percentage points with 90% confidence assuming that
(a) she uses the estimates of 21.7 % male and 18.1% female from a previous year
(b) she does not use any prior estimates?

The given plane has the equation 9x - y - z = 7. We know that any plane parallel to this plane will have the same normal vector as this plane. So, we first need to find the normal vector of the given plane.

The coefficients of x, y, and z in the equation 9x - y - z = 7 give us the normal vector of the plane, which is (9, -1, -1).

Now, let's find the equation of the plane passing through the point (8, -1, -6) and having the same normal vector as the given plane.

We can use the point-normal form of the equation of a plane, which is:

n · (r - r0) = 0

where n is the normal vector of the plane, r0 is a point on the plane, r is any point on the plane, and · denotes the dot product.

Substituting the given values, we get:

(9, -1, -1) · (r - (8, -1, -6)) = 0

Expanding this dot product, we get:

9(x - 8) - (y + 1) - (z + 6) = 0

Simplifying and rearranging terms, we get:

9x - y - z = 71

Therefore, the equation of the plane passing through the point (8, -1, -6) and parallel to the plane 9x - y - z = 7 is 9x - y - z = 71.

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Answer:

Can I have a picture?

Step-by-step explanation:

Put it DB and I'll gladly answer!

Vectors can be defined as physical quantities that have both magnitude and direction. They are represented graphically as arrows in the plane and can be added, subtracted, and multiplied by scalars.

The following is a summary of the objectives of learning vectors through observations.

1. Definition of vectorsA vector can be defined as a quantity that has both magnitude and direction. The magnitude of a vector is a scalar quantity, whereas the direction is given by the orientation of the vector in space.

2. Magnitude and direction of vectors

To determine the magnitude and direction of a vector, we use the Pythagorean theorem and trigonometry. The magnitude of a vector is given by the square root of the sum of the squares of its components, whereas the direction is given by the angle it makes with a reference axis.

3. Adding and subtracting vectors using the graphical method

To add or subtract vectors graphically, we place them head to tail and draw the resultant vector from the tail of the first vector to the head of the last vector. To subtract vectors, we reverse the direction of the vector being subtracted and add it to the first vector.

4. Vector components and component method

To find the components of a vector, we project it onto a reference axis. The x-component is the projection of the vector onto the x-axis, whereas the y-component is the projection of the vector onto the y-axis. The component method is a way of adding vectors by adding their components.

5. Equilibrium of vectorsWhen the sum of two or more vectors is zero, we say they are in equilibrium. This means that the vectors cancel each other out and there is no resultant vector.

To find the equilibrium of vectors, we set up a system of equations and solve for the unknowns.Lab Report FormatThe following is a suggested format for a lab report.TitleAbstractIntroductionMaterials and MethodsResultsDiscussionConclusionReferences

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Answer: try searching it on Google maybe?

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Answer:

Its 26

Step-by-step explanation:

Correct on edg. 2021

Answer:

A and D

Step-by-step explanation:

f(0) is the value of the function when x = 0

Given it passes through (0, 3 ) and (4, 6 )

Then when x = 0 , f(0 ) = 3 → A ( that is y = fx) = 3 )

Similarly f(4) is the value of the function when x = 4

Then when x = 4 , f(4) = 6 ( that is y = f(x) = 6 → E

In this exercise we have to use the knowledge of functions to identify the alternatives that best apply to the function, so:

Letter A and Letter D

Thus, we have that some information given in the statement was of:

And we know that we can write mathematically that:

\(y=f(x)\\f(0 ) = 3 \\f(4) = 6\)

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Answer:

The answer is 114.3 cm

Step-by-step explanation:

the formula is c=2(pi)r so it's 2(3.14)(18.2) which is 114.296.

Answer:

Each pound of sugar costs $0.64

Step-by-step explanation:

4x = 2.56     Set up the equation. Divide both sides by 4 to isolate the x.

 x = 0.64

Answer

15

Step-by-step explain

6+9=15

Answer:

Yes

Step-by-step explanation:

I mean it can if you use () and stuff

Answer:

yes, technically

Step-by-step explanation:

so you can do somthing like -5+7 and get 2

hopes this helps, have a good day!

It is not impossible to construct a frame for a finite population or a target population, but it is impossible to construct a frame for a sampled population.

A frame is a list or map of all the units in a population, which is used to select a sample for a survey or study. If a population is finite, it is possible to list all the units in the population and create a frame. Similarly, if the target population is well-defined and can be identified, a frame can be constructed.

However, if the population is sampled, the frame cannot be constructed because the population is unknown and constantly changing. Therefore, it is impossible to construct a frame for a sampled population.

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The complete question is :

Is it impossible to construct a frame for a sampled population, a finite population, or a target population?

The probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.

To find the probability of whether the sum of two fair six-sided dice is 9 or 99 or higher, we need to determine the number of favorable outcomes and the total number of possible outcomes.

The possible outcomes when rolling two six-sided dice range from 2 (minimum sum) to 12 (maximum sum). We want to calculate the probability of getting a sum of 9 or 99 or higher.

To determine the favorable outcomes, we need to identify all the combinations of dice rolls that meet our criteria. Here are the favorable outcomes:

(3, 6) = sum of 9

(4, 5) = sum of 9

(5, 4) = sum of 9

(6, 3) = sum of 9

(6, 6) = sum of 12

Therefore, we have 5 favorable outcomes.

Now, let's calculate the total number of possible outcomes. Since each die has 6 possible outcomes (numbers 1 to 6), the total number of possible outcomes for rolling two dice is 6 * 6 = 36.

The probability of getting a sum of 9 or 99 or higher is given by:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 5 / 36

Therefore, the probability that the sum of two fair six-sided dice is 9 or 99 or higher is 5/36.

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a. The equation of the perimeter is x + x + x + 2x + 2x = 42. Option A

b. x = 6 centimeters

c. The lengths are 6 centimeters , 6 centimeters , 6 centimeters  , 12 centimeters  and 12 centimeters respectively.

It is important to note that the formula for calculating the perimeter of a pentagon is expressed as;

Perimeter = 5a

Where: 'a' represents the length of one of its side

From the information given, we have that the perimeter of the geometrical figure is the sum of its sides.

Given the sides;

x , x , x, 2x , 2x

Now, substitute the values into the formula for perimeter

x + x + x + 2x + 2x = 42

collect like terms and add them

7x = 42

Now, make 'x' the subject of formula by dividing both sides by the coefficient of the variable 'x'

We have;

7x/7 == 42/7

x = 6 centimeters

But the length of the sides is determined by substituting the value of x as 6

x = 6 centimeters

x = 6 centimeters

x = 6 centimeters

2x = 2(6) = 12 centimeters

2x = 2(6) = 12 centimeters

Hence, the lengths are 6, 6, 6 , 12 and 12 centimeters respectively.

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Answer: 134

(Hope this helped with whatever you needed it for <3)

Answer: 0

Step-by-step explanation: it’s undefined

Answer:

y2-y1 over x2-x1

Step-by-step explanation:

so pick one and make it 1 and pick the other and make it 2 and fill in for x and y.

Answer:

12

Step-by-step explanation:

16/4=4

4+8=12

(a) There is about 68% chance that the number of heads will be somewhere between 16 and 14.

(b) There is about 95.4% chance that the number of heads will be somewhere 12 and 28.

(c) There is about 95.4% chance that the number of heads will be somewhere 8 and 32.

What is standard deviation?

The standard deviation in statistics is a measurement of how much a group of values can vary or be dispersed. A low standard deviation suggests that values are often close to the set's mean, whereas a large standard deviation suggests that values are dispersed over a wider range.

Given: n = 100

p = 0.20

μ = 20

σ = 4

Verification of mean and standard deviation:

μ = np = 100(0.20) = 20

σ = \(\sqrt{np(1-p)} = \sqrt{100(0.20)(1-0.20)} = 4\)

As per central limit theorem,

(a) Using central limit theorem:

μ - 1σ = 20 - 4 = 16

μ+ 1σ = 20 + 4 = 24

Hence, there is about 68% chance that the number of heads will be somewhere between 16 and 14.

(b)  μ - 2σ = 20 - (2 x 4) = 12

μ + 2σ = 20 + (2 x 4) = 28

Hence, there is about 95.4% chance that the number of heads will be somewhere 12 and 28.

(c)  μ - 3σ= 20 - (3 x 4) = 8

μ + 3σ = 20 + (3 x 4) = 32

Hence,  there is about 95.4% chance that the number of heads will be somewhere 8 and 32.

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Answer:

C. -6b-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

b -11b

The second term in the sequence is 0.

To solve the problem, we can use the fact that each term after the second is the sum of the two preceding terms. Let's call the first term a and the second term b. Then, according to the problem, we have:

a = 3 (the first term is 3)

b = ?

c = a + b = 3 + b

d = b + c = b + (3 + b) = 2b + 3

e = c + d = (3 + b) + (2b + 3) = 3b + 6

We also know that the fifth term is 3, so we can set e equal to 3 and solve for b:

3b + 6 = 3

3b = -3

b = -1

Therefore, the second term in the sequence is 0, since each term after the second is the sum of the two preceding terms and the first term is 3.

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Answer:

Following are the solution to this question:

Step-by-step explanation:

It was right because the "Two" is "2," "more is" and "+" are two the most hours than Nandini and "n," so 2+n or n+2 is a true, phrase of Nandini's transcription".

Now, this vector n is unknown, so the number of hours Nandini researched should reflect.

Two further hours which Nandini researched Xander. So, Xander studied the number of hours = n + 2 or 2+ n. Kalley has therefore written a correct word.

Answer:

It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.

Step-by-step explanation:

Say thanks for the anwer

Answer:

1.   Vertex is (-12, -101)

2.   Vertex is (4, 25)

Step-by-step explanation:

1)

\(y = x^{2} + 24x + 144 + 43 - 144\\ = (x + 12)^{2} - 101\)

Vertex is (-12, -101)

2)

\(y = -x^{2} + 8x + 9\\ = -(x^{2} - 8x + 16) +9 + 16\\ = -(x - 4)^{2} + 25\)

Vertex is (4, 25)

The point e. x = 5, y = 0 satisfies the two linear constraints simultaneously. We have two linear constraints which are given as;

2x + 5y ≤ 10 (Equation 1)

10x + 6y ≤ 42 (Equation 2)

We need to find the point which satisfies both equations. Let us plug in the values one by one to check which one satisfies the two equations simultaneously.

a. x= 6, y = 2

In Equation 1:2x + 5y = 2(6) + 5(2) = 17

In Equation 2:10x + 6y = 10(6) + 6(2) = 66

Thus, this point does not satisfy equations 1 and 2 simultaneously.

b. x=6, y=4

In Equation 1:2x + 5y = 2(6) + 5(4) = 28

In Equation 2:10x + 6y = 10(6) + 6(4) = 72

Thus, this point does not satisfy equations 1 and 2 simultaneously.

c. x=2, y = 1

In Equation 1:2x + 5y = 2(2) + 5(1) = 9

In Equation 2:10x + 6y = 10(2) + 6(1) = 26

Thus, this point does not satisfy equations 1 and 2 simultaneously.

d. x=2, y = 6

In Equation 1:2x + 5y = 2(2) + 5(6) = 32

In Equation 2:10x + 6y = 10(2) + 6(6) = 52

Thus, this point does not satisfy equations 1 and 2 simultaneously.

e. x = 5, y = 0

In Equation 1:2x + 5y = 2(5) + 5(0) = 10

In Equation 2:10x + 6y = 10(5) + 6(0) = 50

Thus, this point satisfies both equations simultaneously.

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Answer:

No it won't

Step-by-step explanation:

Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86

Answer:

1g = 1000 mg

Step-by-step explanation:

convert using a factor of 1000

mil  = 1000

Answer:

5,400

Step-by-step explanation:

do the exponent which is 10x10=100 then add it to 5,300

Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i=12n−1f(ai)+4∑i=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x=0.5 to three decimal places is approximately equal to 0.7828.

The solution to part b at x

=0.5 to three decimal places using Simpson's Rule with n

=4 is given as follows:Approximate the value of∫01x3+1dx, with Simpson's Rule using n

=4 subintervals.Simpson's Rule formula for integrating a function, f(x), with n subintervals is given as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]where h

=(b−a)n and xi

=a+ih for i

=1,2,3,...,n.Substituting a

=0, b=1, f(x)

=x3+1, and n

=4 in Simpson's Rule formula:∫01x3+1dx≈14[0+2{(13)3+1+(23)3+1}+4{(14)3+1+(34)3+1}+13+3]≈1.1354The value of ∫01x3+1dx is approximately equal to 1.1354, using Simpson's Rule with n

=4 subintervals. We want to approximate the solution to part b at x

=0.5 to three decimal places. Using the value of ∫01x3+1dx obtained above, we can approximate the value of∫0.50x3+1dx as:Simpson's Rule ∫abf(x)dx≈b−a3n[f(a)+2∑i

=12n−1f(ai)+4∑i

=14n−1f(xi)+f(b)]≈15[0+2{(13)3+1}+4{(14)3+1}+13+3]≈0.7828Therefore, the solution to part b at x

=0.5 to three decimal places is approximately equal to 0.7828.

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The probability that at least 6 of these will have a mechanical defect is 0.1612.

For the given question;

At least six of the seven chosen has to have a mechanical defect.

So we add this same cases with exactly 6 mechanical defects and the cases with exactly 7 mechanical defects.

Number of possible approaches = ⁶C₂ + ¹⁹C₇ = 6!/2!4! + 19!/7!2!

= 27132 + 50388

= 77, 520

Calculated the total number of options to pick the seven keyboards as;

²⁵C₇ = 25!/7!18!

²⁵C₇ = 480,700.

As a result, the necessary probability = 77, 520/480,700 = 0.1612.

Thus, the probability that at least 6 of these will have a mechanical defect is 0.1612.

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The complete question is-

Computer keyboard failures can be attributed to electrical defects or mechanical defects. A repair facility currently has 25 failed keyboards, 6 of which have electrical defects and 19 of which have mechanical defects.

If a sample of 7 keyboards is randomly selected, what is the probability that at least 6 of these will have a mechanical defect? (Round the answer to four decimal places.)

Answer:I think it's 7, but im not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

5 root 32 - 15 root 2

20 root 2 - 15 root 2

5 root 2

please have a look of photo for exact answet

The equation to solve the height of the trapezoid is 45h = 1,575

Given data ,

Let the area of the trapezoid be A

Now , the value of A = 1,575 cm²

And , the Top(base2) = 63cm and  Bottom(base1) = 27 cm

Area of Trapezoid = ( ( a + b ) h ) / 2

where , a = shorter base of trapezium

b = longer base of trapezium

h = height of trapezium

On simplifying , we get

1,575 = (63 + 27) / 2 x h

1575 = 45h

Hence , the equation is 1575 = 45h

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The complete question is attached below :

The trapezoid has an area of 1,575 cm2, Which equation could you solve to find the height of the trapezoid?

A 850.5h = 1,575

B 1,701h = 1,575

C 90h = 1,575

D 45h = 1,575

Top(base2) = 63 cm

Bottom(base1) = 27 cm

Answer:

c

Step-by-step explanation: