drawing a 1, 2, or 3 from 9 cards numbered 1-9, replacing the card,
and drawing a 7, 8, or 9
1/3
3/8
C
1/9
d
1/12​

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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Answer:

I hope it's helpful...good luck

Answer:

Not effective: 31.5%

Effective: 68.5%

Step-by-step explanation:

200

First we need to figure out how many tests they did :)

20 x 10 = 200

Now lets divide to see the percentage of how effective and not effective it is :)

Not effective: 31.5%

63/200 = 0.315 x 100 = 31.5

Effective: 68.5%

137/200 = 0.685 x 100 = 68.5

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Not effective: 31.5%

Effective: 68.5%

Step-by-step explanation:

The eccentricity of the conic section below is: A. closer to 0 than 1.

In Euclidean geometry, a conic section can be defined as a curve that is generated as the intersection of the surface of a right circular cone with a plane.

In Mathematics, there are four (4) types of conic section and these include the following with their eccentricity:

In this context, we can reasonably infer and logically deduce that the eccentricity of the conic section is closer to zero (0) than one (1) because it represents a circle.

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The value of the line integral ∮ (2, 2) around the triangle bounded by x = 0, xy = 1, and y = 0 is 0.

To apply Green's theorem, we need to calculate the line integral of the vector field F = (2, 2) around the triangle bounded by the curves x = 0, xy = 1, and y = 0.

Let's start by finding the bounds of integration for the line integral. The triangle is defined by three sides:

1. The segment from (0, 0) to (1, 0) along the x-axis.

2. The segment from (1, 0) to (0, 1).

3. The segment from (0, 1) to (0, 0) along the y-axis.

We can break down the line integral into three separate line integrals along each of these sides and then sum them up.

1. Line integral along the segment from (0, 0) to (1, 0):

  We parametrize this line segment as r(t) = (t, 0), where t ranges from 0 to 1.

  The differential element of arc length ds is given by ds = sqrt(dx^2 + dy^2) = dt.

  Thus, the line integral along this segment becomes:

  ∮ (2, 2) ⋅ ds = ∫[0,1] (2, 2) ⋅ (dt, 0) = ∫[0,1] 2 dt = 2∫[0,1] dt = 2[t] from 0 to 1 = 2.

2. Line integral along the segment from (1, 0) to (0, 1):

  We parametrize this line segment as r(t) = (1 - t, t), where t ranges from 0 to 1.

  The differential element of arc length ds is given by

ds = \(\sqrt{(dx^2 + dy^2) }\)

   = (\(\sqrt{(-dt)^2 + dt^2)}\)

    = \(\sqrt{2}\) dt.

  Thus, the line integral along this segment becomes:

  ∮ (2, 2) ⋅ ds = ∫[0,1] (2, 2) ⋅ (-dt, dt) = ∫[0,1] 0 dt = 0.

3. Line integral along the segment from (0, 1) to (0, 0):

  We parametrize this line segment as r(t) = (0, 1 - t), where t ranges from 0 to 1.

  The differential element of arc length ds is given by ds = sqrt(dx^2 + dy^2) = dt.

  Thus, the line integral along this segment becomes:

  ∮ (2, 2) ⋅ ds = ∫[0,1] (2, 2) ⋅ (0, -dt) = ∫[0,1] -2 dt = -2[t] from 0 to 1 = -2.

Summing up the line integrals from all three segments:

∮ (2, 2) ⋅ ds = 2 + 0 - 2 = 0.

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Answer:

Step-by-step explanation:

ΔVWX

m∠V = 96° and m∠W = 39°

m < X = 180-96-39 = 45°

The greatest angle opposes the greatest side.

From longest to shortest

side WX, side VW, side VX

The elasticity of labor refers to the responsiveness of the quantity of labor supplied to changes in the wage rate. If the elasticity of labor is 0.60, a 15 percent increase in the wage rate will induce a decrease in the quantity of labor supplied, but the extent of this decrease will depend on the magnitude of the elasticity. The correct option is c.

In this case, a 0.60 elasticity implies that a 15 percent increase in the wage rate will result in a 9.0 percent decrease in the quantity of labor supplied. This can be calculated using the formula for elasticity, which is the percentage change in quantity divided by the percentage change in price (or wage rate, in this case):

Elasticity of labor = percentage change in quantity / percentage change in wage rate

0.60 = percentage change in quantity / 15 percent

Percentage change in quantity = 0.60 x 15 percent = 9.0 percent

Therefore, the correct answer is (c) a 9.0 percent decrease in the quantity of labor supplied. This means that as the wage rate increases, workers may be less willing to supply labor, resulting in a decrease in the number of workers willing to work at that wage rate.

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If you start with 1/4, you can create an entire class of fractions equivalent to 1/4 by multiplying 1/4 by different forms of the number 1.

The connection between two numbers, known as the numerator and the denominator, is expressed mathematically as fractions. The number of pieces is represented by the numerator, while the total number of components is represented by the denominator. For instance, if a pizza is cut into 8 slices and someone eats 3 of them, the fraction corresponding to the quantity consumed would be 3/8.

Diverse mathematical ideas, including division, ratios, and proportions, can be represented using fractions. They can also be used to represent decimal and percentage values, with the decimal point placed to the right of the numerator and the number of decimal places represented by the denominator.

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Answer:

3 rational numbers between -5 and -6 include -5.6, -5.7, and -5.1.

Step-by-step explanation:

Answer:

-5.2, -5.6, and  -5.8.

Step-by-step explanation:

3 rational numbers between -5 and -6.

-5 > x > -6

Where x is a rational number, that can be expressed in p/q form.

The numbers can be -5.2, -5.6, and -5.8.

-5.2 = -26/5

-5.6 = -28/5

-5.8 = -29/5

The numbers can be expressed in p/q form, so they are rational.

Answer:

B.The middle number

brainiest please

There are 12,804,280,000 ways to select 10 countries in the United Nations to serve on a council.

The number of ways to select 3 countries from a block of 52 is given by the combination formula:

        C(62, 1) = 62.

        C(75, 6) = 75! / (6! * (75 - 6)!) = 178,365.

Finally, to find the number of ways to select 10 countries in total, we multiply the number of ways to select 3, 1, and 6 countries:

19600 * 62 * 178365 = 12,804,280,000.

So there are 12,804,280,000 ways to select 10 countries in the United Nations to serve on a council.

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Answer:

The missing pieces should be after line 3.

9/4 = (x - 3)^2

<=> (3/2)^2 = (x - 3)^2

<=> x - 3 = 3/2 or x - 3 = -3/2

<=> x = 3 + 3/2 or x = 3 - 3/2

<=> x = 9/2 or x = 3/2

Hope this helps!

:)

Answer:

I think the missing steps are:

\(\frac{3}{2}=x-3\)

and

\(\frac{9}{2}=x\)

Step-by-step explanation:

\(-27=4x^2-24x\)

First, factor 4 to make isolate \(x^2\)

\(-27=4(x^2-6x)\)

Now, divide by 4.

\(-\frac{27}{4}=x^2-6x\)

Complete the square by adding \((\frac{b}{2})^2\)

\((\frac{b}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{b}{2})^2\)

\((\frac{6}{2})^2-\frac{27}{4}=x^2-6x+ (\frac{6}{2})^2\)

\((3)^2-\frac{27}{4}=x^2-6x+ (3)^2\)

\(9-\frac{27}{4}=x^2-6x+9\)

Solve the difference.

\(\frac{9*4-27}{4}=x^2-6x+9\)

\(\frac{36-27}{4}=x^2-6x+9 \\\frac{9}{4}=x^2-6x+9\)

Factor the equation.

\(\frac{9}{4}=(x-3)(x-3)\)

Rewrite it;

\(\frac{9}{4}=(x-3)^2\)

Extract the square root.

\(\sqrt{\frac{9}{4} }=x-3\)

Take the square root of 9 and 4.

\(\frac{3}{2}=x-3\)

Add 3.

\(\frac{3}{2}+3=x\)

Do the sum

\(\frac{3+2*3}{2}=x\\\frac{3+6}{2}=x\\\frac{9}{2}=x\)

Answer:

Step-by-step explanation:

According to triangle inequality, any side is less than the sum of the other two:

We see contradiction with above when values substituted:

It means we can't form a triangle with given sides

Yuri can take at most 7 lessons with the money he has saved.

What are the lessons ?

Let x be the number of lessons Yuri can take with the money he has saved.

The total cost of the guitar and the lessons is:

55 + 12x

Since Yuri has saved $147, we can write:

55 + 12x ≤ 147

This is the inequality that represents the number of lessons Yuri can take with the money he has saved. To solve for x, we can first subtract 55 from both sides:

12x ≤ 92

Then, divide both sides by 12:

x ≤ 7.67

Since Yuri cannot take a fraction of a lesson, we need to round down to the nearest whole number:

x ≤ 7

Therefore, Yuri can take at most 7 lessons with the money he has saved.

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Answer:

18 children

Step-by-step explanation:

The computation of the more children went to scotland is as follows:

Given that

There is 200 children

out of which 18% went to wales i.e. = 200 × 18% = 36

And, 27% went to scotland i.e. = 200 × 27% = 54

So, the more children went to scotland is

= 54 - 36

= 18 children

Answer:

A relation can have 2 output to 1 output bt not a function

Answer:

B Yes, because even if points are collinear, one of the points may fall on a plane while the others do not.

Step-by-step explanation:

good luck

Answer: 2520 groups

Step-by-step explanation:

To calculate the number of groups that can be chosen with four SE students and three CPRE students, we need to consider the number of ways to select the students from each group separately.

The number of ways to choose four SE students from the nine available is given by the combination formula, denoted as "9 choose 4" or C(9, 4), and can be calculated as:

C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126

Similarly, the number of ways to choose three CPRE students from the six available is:

C(6, 3) = 6! / (3! * (6 - 3)!) = 6! / (3! * 3!) = (6 * 5 * 4) / (3 * 2 * 1) = 20

To determine the total number of groups, we multiply the number of choices for SE students and CPRE students:

Total number of groups = C(9, 4) * C(6, 3) = 126 * 20 = 2520

Therefore, there are 2520 different groups of seven students that can be chosen, consisting of four SE students and three CPRE students.

Answer:

-7

Assuming that "It can be any"

Answer:

It goes up by 2 each time

Step-by-step explanation:

Answer:

Slope= y=1/2x+6

Step-by-step explanation:

Hope it helps.

The statistical measures for the given data set are as follows:

Min: 2

Q1 (first quartile): 4

Med (median): 10

Q3 (third quartile): 11

Max: 14

To create a box and whiskers plot for this data set, we start by drawing a number line and marking the minimum and maximum values. Then, we draw a box that spans from the first quartile (Q1) to the third quartile (Q3), with a line inside the box at the median. Finally, we draw "whiskers" that extend from the box to the minimum and maximum values, excluding any outliers.

To create the box plot, we drag the lines as follows:

The left whisker goes from the minimum value of 2 to the left side of the box at Q1 = 4.

The right whisker goes from the maximum value of 14 to the right side of the box at Q3 = 11.

The box spans from Q1 = 4 to Q3 = 11, with the line inside the box at the median of 10.

The resulting box and whiskers plot shows the spread and central tendency of the data set.

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The domain and range of the functions are:

Function (A):

Function (B):

So, the domain and range of the function:

Function (A):

Function (B):

Therefore, the domain and range of the functions are:

Function (A):

Function (B):

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Answer:

See answers below;

Step-by-step explanation:

Find the diagram attached

12) Given the following

m<EF = 3x - 6

m<GF = 15x - 30

From the diagram, arcEf and arcGF are supplementary. Hence;

arcEF + arcGF = 180

3x - 6 + 15x - 30  = 180

18x - 36 = 180

18x = 180 + 36

18x = 216

x = 216/18

x = 12degrees

arcEF = 3x-6

arcEF = 3(12) - 6

arcEF = 36 - 6

arcEF = 30degrees

arcGF = 180 - aecEF

arcGF = 180 - 30

arcGF = 150degrees

Since arcDE = arcGF (vertical angles), hence arcDE = 150degrees

arcDFG = arcDG+arcGF

arcDFG = 30 + 150

arcDFG = 180degrees

13) arcMN = arcQP (vertical angles)

12x-5 = 6x+3

Collect like terms

12x - 6x = 3 + 5

6x = 8

x = 8/6

x = 1.3

arcMN =12x - 5

arcMN = 12(8/6) - 5

arcMN = 16 - 5

arcMN = 11degres

arcNP = 180 - arcMN

arcNP = 180 - 11

arcNP = 169degrees

Since arcNQP lies on straight line, hence arcNQP is 180degrees

The radius of convergence of the given power series is 0.

The given power series is ∑ (5n)! / (n) x5n where n is 0 or more. The radius of convergence of the given power series is to be determined.

The formula used to find the radius of convergence is given as; R = 1/Lim⁡┬(n→∞)⁡(|aₙ|)^1/n

where aₙ is the nth term of the given power series. By comparing the given series with the standard form of the power series, we get;

aₙ = (5n)! / n x5nWe can rewrite the above equation as;aₙ = 5ⁿ * 4ⁿ * 3ⁿ * 2ⁿ * 1ⁿ / n x5

n= (5/1)ⁿ * (4/1)ⁿ * (3/1)ⁿ * (2/1)ⁿ * (1/1)ⁿ / n x5

n= (5/1 * 4/1 * 3/1 * 2/1 * 1/1)^ⁿ / n x5

n= 120^n / n x5n

We can now apply the formula to find the radius of convergence of the given power series as;

R = 1/Lim⁡┬(n→∞)⁡(|aₙ|)^1/n

= 1/Lim⁡┬(n→∞)⁡|(120^n / n x5n)|^1/n

= 1/Lim⁡┬(n→∞)⁡(120^(1/n) / (n x5)^(1/n))

= 1/Lim⁡┬(n→∞)⁡(120^(1/n) / 5^(1/n) * n^(1/n))

= 1/5 x Lim⁡┬(n→∞)⁡(24^(1/n) / (n)^(1/n))

Using L'Hopital's rule, we can evaluate the above limit as follows; R = 1/5 x Lim⁡┬(n→∞)⁡(1 / (nln24 * (n)^(1/n-1)))= 0.

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Based on the number of firms and the sum of squared differences, the value of t can be found to be 0.650.

First, find the correlation coefficient using the Spearman's rank correlation coefficient:

= 1 - ( (6 x Sum of squared differences) / (number of firms x (number of firms² - 1))

= 1 - ( (6 x 128) / (10 x (10² - 1))

= 0.224

The value of t is:

= (Correlation coefficient x √(n - 2)) / √(1 - Correlation coefficient ²)

= (0.224 x √(10 - 2)) / √(1 - 0.224²)

= 0.650

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Answer:

9 : 7

Step-by-step explanation:

given the ratio

4.5 : 3 \(\frac{1}{2}\) , that is in decimal form

4.5 : 3.5 ( multiply both parts by 10 to clear the decimal )

= 45 : 35 ( divide both parts by 5 )

= 9 : 7 ← in simplest form

Answer:

9:7

Step-by-step explanation:

Convert all the numbers to either decimal or fraction. The operation becomes simple.

Simplifying after converting to decimal

Convert 3 1/2 to decimal 3 1/2 = 3 + 1/2

1/2 = 0.5

3 + 1/2 = 3 + 0.5 = 3.4

Ratio 4.5:3.5 = 4.5/3.5

Divide by 5 to give
\(\dfrac{4.5 /5 }{3.5/5} = 0.9/0.7\\\\\)

Multiply both numerator and denominator by 10
0.9 x 10 = 9

0.7 x 10 = 7

So the ratio becomes 9/7 = 9:7

Simplifying after converting to fraction

4.5 = 4 + 0.5

0.5 = 1/2

5.5 = 4 + 1/2 = 4 1/2

Convert to mixed fraction:
4 1/2 = (4 x 2 + 1)/2 = 9/2

Convert 3 1/2 to fraction

3 1/2 = (3 x 2 + 1)/2 = 7/2

So 4.5 : 3 1/2 = 9/2 : 7/2

Multiplying by 2 we get the same answer: 9:7

Choose whichever approach you feel comfortable with

Answer: 4x − y = -23

Step-by-step explanation: