a) about what percentage of scores were between between 68 and 82? 68 % b) about what percentage of scores were between 61 and 75?

Answer:

q=82

Step-by-step explanation:

The line is equal to 180 degrees, and we have three angles and two have numbers, so this will be easy.

Add 58+40 to get 98, now subtract 98 from 180.

180-98=82

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

his mistake is that he didn't need to remove one even number on the spinner so we just need to take 2/5x1/5equals2/25

Answer:

-10

Step-by-step explanation:

2x+6 = x-4

2x = x - 4 - 6

2x = x -10

2x -x = x-x - 10

x = -10

Please mark my answer as brainest

Answer:

angle 1 equals 55 and angle 2= equals 115

Step-by-step explanation:

the middle angle is 125 so than you add 63+__ which is 62 so than the last angle to make 180 is 55(angle 1) than angle 2 10+__=125 so ___=115 than the last angle will be 55

Answer:

1) 62°

2) 115°

Step-by-step explanation:

Angle 1)

QRP= 180°-125° (adjacent angles on a straight line)

= 55°

angle 1= 180°-63°-55° (sum of angles in a triangle)

= 62°

Angle 2)

SRT= QRP (vertically opposite angles)

= 55°

angle 2= 180°-10°-55° (sum of angles in a triangle)

= 115°

Answer:

30

Step-by-step explanation:

The side that is opposite to ∠Z is side YX. Therefore the length of the opposite side would be the length of YX which is 30 units.

The given problem involves evaluating four different integrals. The first integral is ∫(1/(2x + 1)³)dx. The second integral is ∫2dr. The third integral is ∫\(x*e^{(-x)dx\), where L'Hopital's Rule needs to be applied. The fourth integral is ∫(\(e^{(-x)/x dx\). We need to determine the solutions to each of these integrals.

To evaluate ∫(1/(2x + 1)³)dx, we can use a substitution method. Let u = 2x + 1, then du = 2dx. The integral becomes ∫(1/u³)(1/2)du. Simplifying, we get (1/2) ∫\(u^{(-3)du\) = (1/2)(-1/2u²) + C = -1/(4u²) + C = -1/(4(2x + 1)²) + C.

The integral ∫2dr is a simple integration with respect to r. The integral of a constant is simply the constant times the variable, so the result is 2r + C.

The integral ∫\(xe^{(-x)dx\)can be solved using integration by parts. Let u = x and dv = \(e^{(-x)dx\). Then du = dx and v = \(-e^{(-x)\). Applying the integration by parts formula, we have ∫u dv = uv - ∫v du. Plugging in the values, we get x(\(-e^{(-x)\)) - ∫(\(-e^{(-x)\))dx = \(-xe^{(-x)}\) + \(e^{(-x)\)+ C.

The integral ∫(e^(-x))/x dx requires the application of L'Hopital's Rule. Taking the derivative of the numerator and denominator, we have (-e^(-x))/1. Applying L'Hopital's Rule, we get \(∫(e^{(-x)})/x dx\) = lim(x->∞)(-e^(-x))/1 = 0.

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If a survey asked a group of adults and youths if they prefer reading books printed on paper or electronic books. The  percent of the youths surveyed prefer reading electronic books is: 54%

Given data:

Youth book preference

Print = 34

Electronic = 40

Now let determine the percentage using this formula

Total = Print + Electronic book

Total = 34 +40

Total = 74

Now let determine the percentage of youth that preferred reading electronic book which  is calculated as :

Percentage = 40 / 74

Percentage = 0.54 × 100

Percentage = 54 %

Therefore we can conclude that 54% like to read electronic book.

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Answer:

Step-by-step explanation:

The order of letters in "figure's name" is important

NEPK ≅ VXSR

A). KN (4th and 1st) ≅ RV (4th and 1st)

NEPK ≅ VXSR

G). NE (1st and 2nd) ≅ VX (1st and 2nd)

NEPK ≅ VXSR

D). PK (3rd and 4th) ≅ SR (3rd and 4th)

NEPK ≅ VXSR

F). EP (2nd and 3rd) ≅ XS (2nd and 3rd)

Answer:

4.71

Step-by-step explanation:

Area of shaded sector formula: r2(data)(pi)/360

Substitute the info into the formula

\(3^{2}\) (60)(pi)/360

9(60)=540

540/360(pi)=4.71

Hope this helps! :)

The required area of the shaded sector is 296.73 cm², which is closest to option D: 297 cm².

The area of a sector is the fractional part of the area of a full circle that is enclosed by the central angle of the sector. To find the area of a sector, we can use the formula:

Area of sector = (θ/360) x πr^2

Here,

To find the area of the shaded sector, we need to first find the area of the whole circle and then multiply it by the fraction of the circle that is shaded.

The area of a circle with a radius of 18 cm is given by A = πr², where r is the radius. So, the area of the whole circle is:

A = πr² = π(18 cm)²

           = 324π cm²

To find the fraction of the circle that is shaded, we need to find the central angle of the sector. The central angle of the sector is given as 105°. The fraction of the circle that is shaded is equal to the central angle of the sector divided by the total central angle of the circle (which is 360°):

Fraction of circle shaded = Central angle of sector / Total central angle of a circle is,

= 105° / 360°

= 7/24

Therefore, the area of the shaded sector is:

Area of shaded sector = Fraction of circle shaded x Area of the whole circle is,

= (7/24) x (324π cm²)

≈ 296.73 cm²

So, the approximate area of the shaded sector is 296.73 cm², which is closest to option D: 297 cm².

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Complete question is shown in figure.

Answer:

undefined

Step-by-step explanation:

the line has always the same x, so it is a vertical line

A vertical line has an undefined slope

If an outfit consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes, then 144 different outfits Ayden can make.

In the given question we have to find how many different outfits can ayden make.

Ayden has 6 shirts, 4 pairs of pants, 3 ties, and 2 pairs of shoes.

We have to choose outfit for interview consists of 1 shirt, 1 pair of pants, 1 tie and a pair of shoes.

We have to choose 1 shirt and he has 6 shirts. So he can choose different shirts in 6 ways.

Similarly;

We have to choose 1 pair of pants and he has 4 pair of pants. So he can choose different pair of pants in 4 ways.

We have to choose 1 tie and he has 3 ties. So he can choose different ties in 3 ways.

We have to choose one pair of shoes and he has 2 pair of shoes. So he can choose different pair of shoes in 2 ways.

So the total different outfits that he select = 6*4*3*2 = 144

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Answer: 0 = -4x + b

Step-by-step explanation: Write -4x as -4 over 1 (-4/1) and using rise over run you move down 4 and right 1. Then you move up 4 and left 1. Plot those two points where you stopped. That doesn't matter though in this case, you only need the equation.

Yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate, you and your friends can ensure that your candidate for the board of directors wins, even with a minority of shares.

The bylaws of a corporation outline the rules and procedures governing its operations, including the election of directors. In some cases, the bylaws may allow shareholders to pool their votes and vote them all for a single candidate. This means that if you and your friends collectively own enough shares to secure a majority of the votes, you can consolidate your voting power and ensure the victory of your candidate.

By pooling your votes, you can leverage your collective shares to outweigh the votes of other shareholders and increase the chances of your preferred candidate winning. This strategy enables you to overcome the disadvantage of holding a minority of shares and still have a significant impact on the election outcome.

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Answer:

Step-by-step explanation:

An=3*n

Answer:

n=3m

Step-by-step explanation:

n represent the number of movies he will watch

m shows the amoutn of month

The equation which represents the net profit of the charity organization is y = 45x-810.

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Answer:

patient A has the greater weight

Answer:

-12x + 2

Step-by-step explanation:

(-6) + 8 - 3x -9x

Add like terms

(-6) + 8 = 2

(-3x) + (-9x) = -12x

Put the term with the variable in front

There are 9 fewer students in the school band this year as compared to last year

Students in school last year:

The ratio of middle school students to high school students = 1:8

Students in school this year:

The ratio of middle school students to high school students = 2:7

Let x represent the total number of students

Sum of the ratio = 9

There are 18 middle school students in the band this year

Therefore, 2/9x = 18

x = 18*9/2

x = 81 students

High school students this year = 7/9*81 = 63 students

High school students last year = 8/9*81 = 72 students

Change = 9

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Answer:

Step-by-step explanation:

C:1

The scale factor of triangles ΔRST and ΔUVW is 1.

Option C is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object,

We have,

ΔRST and ΔUVW have the same measure of the corresponding sides.

So,

RS/UV = 8/8 = 1

ST/VW = 7/7 = 1

RT/UW = 7/7 = 1

Thus,

The scale factor of ΔRST and ΔUVW is 1.

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Answer:

1,218 Inches

101.5 Feet

33.8333333 Yards

Step-by-step explanation:

The minimum value of the given equation is 5.

The minimum value of the expression x² + y² - 6x + 4y + 18 for real x and y can be found using the method of completing the square.

To find the minimum value of x² + y² - 6x + 4y + 18, we need to convert the expression to the standard form of a quadratic expression.

First, let's collect the like terms: x² - 6x + y² + 4y + 18

Now, let's complete the square for the x terms: x² - 6x = (x - 3)² - 9

And, let's complete the square for the y terms: y² + 4y = (y + 2)² - 4

Now, let's substitute these back into the original expression:x² + y² - 6x + 4y + 18 = (x - 3)² - 9 + (y + 2)² - 4 + 18= (x - 3)² + (y + 2)² + 5

Now, we can see that the minimum value of this expression is 5, which is obtained when (x - 3)² = 0 and (y + 2)² = 0, i.e., when x = 3 and y = -2. Therefore, the minimum value of the expression is 5.

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Answer:

negative i think :/

Step-by-step explanation:

The given equation tan²(x) = cot²(x) - 2cot(x) is true and can be proven using trigonometric identities.

To prove the equation tan²(x) = cot²(x) - 2cot(x), we start by expressing cot(x) in terms of tan(x) using the identity cot(x) = 1/tan(x). Substituting this into the equation, we get tan²(x) = (1/tan(x))² - 2cot(x). Simplifying further, we have tan²(x) = 1/tan²(x) - 2/tan(x). Multiplying both sides of the equation by tan²(x), we obtain tan⁴(x) = 1 - 2tan(x).

Rearranging the terms, we have tan⁴(x) + 2tan(x) - 1 = 0. This equation can be factored as (tan²(x) - 1)(tan²(x) + 1) + 2tan(x) = 0. By using the Pythagorean identity tan²(x) + 1 = sec²(x), we get (sec²(x) - 1)(tan²(x) + 1) + 2tan(x) = 0. Simplifying further, we have sec²(x)tan²(x) - tan²(x) + 2tan(x) = 0. Dividing the equation by tan²(x), we obtain sec²(x) - 1 + 2/tan(x) = 0. Recognizing that sec²(x) - 1 = tan²(x), we can rewrite the equation as tan²(x) + 2/tan(x) = 0, which confirms the original equation tan²(x) = cot²(x) - 2cot(x).

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The equation relating T to N  is T = 560N + 750

A function is defined as an expression or rule that explains or compares the relationship between two variables - the dependent and the independent variable.

From the information given, we have that;

This is represented as;

T = A + B

Substitute the values

T = 165N + 750 + 395N

Collect like terms

T = 165N + 395N + 750

Add like terms

T = 560N + 750

Thus, the equation relating T to N  is T = 560N + 750

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Answer:

126 points :D

Step-by-step explanation:

Quick answer 126

You already have what "c" is so all you have to do it plug it in. If something says 3c or any number and any letter all you have to do is times the number by whatever that letter is so if c is 41 then 3c+3 would be 3 x 41 + 3.

The most important details are that the vector y belongs to the subspace of R4 spanned by the columns of A if it can be written as a linear combination of the columns of A. This is equivalent to solving a system of linear equations using Gaussian elimination or matrix inversion. If a solution exists, then y is in the subspace of R4 spanned by the columns of A.

We are given a matrix A whose columns span R4. We are required to find out if the vector y belongs to the subspace of R4 spanned by the columns of A. Let's begin:We know that a vector y belongs to the subspace of R4 spanned by the columns of A if it can be written as a linear combination of the columns of A. That is,y = a1c1 + a2c2 + a3c3 + a4c4where c1, c2, c3 and c4 are the columns of A. Let's plug in the values given in the question:y = (10 -8 7 4) a1 + (16 7 -5 -7) a2 + (4 -7 4 -5) a3 + (-5 0 6 -2) a4We need to check if there exists a1, a2, a3 and a4 such that the above equation is true. This is equivalent to solving a system of linear equations as follows:10a1 + 16a2 + 4a3 - 5a4 = y1-8a1 + 7a2 - 7a3 + 0a4 = y216a1 - 5a2 + 4a3 + 6a4 = y34a1 - 7a2 - 5a3 - 2a4 = y4where y1, y2, y3 and y4 are the components of vector y. We can solve this system of equations using Gaussian elimination or matrix inversion. If a solution exists, then y is in the subspace of R4 spanned by the columns of A. Otherwise, y is not in the subspace of R4 spanned by the columns of A.

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Given an ordered basis B for the vector space of skew-symmetric 3x3 matrices, identify a skew-symmetric matrix A with B-coordinates (-3 1 10). The ordered basis B is given as (J1, J2, J3), where Ji is a skew-symmetric 3x3 matrix. To find A, we must first describe A as a linear combination of the basis matrices Ji and then compute the coefficients using the B-coordinates provided.

Any skew-symmetric matrix A may be expressed as a linear combination of the basis matrices J1, J2, and J3 with coefficients determined by its B-coordinates. That is to say,

A = (-3)J1 + J2 + 10J3

Substituting the supplied matrices, we get

A = (-3) * ( 0 0 0 0 0 0 1 0 -1 0) + ( 0 0 -1 0 0 0 1 0 0 ) + 10 * ( 0 1 0 -1 0 0 0 0 0 ) ( 0 1 0 -1 0 0 0 0 0 )

A = ( 0 0 0 0 0 0 -3 0 13 ) ( 0 0 0 0 0 0 -3 0 13 )

As a result, the matrix A with B-coordinates (-3, 1, 10) is formed.

A = ( 0 0 0 0 0 0 -3 0 13 ) ( 0 0 0 0 0 0 -3 0 13 )

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Answer: uhm...

Step-by-step explanation:

2...?