Someone help what would be the evaluation of this?

The marginal frequency of students who chose dancing is 37.

The correct answer to the given question is option 3.

The marginal frequency of students who chose dancing can be calculated by adding up the number of students who chose dancing in each row or column. In this case, we need to add up the number of art students who chose dancing (22) and the number of music students who chose dancing (15), which gives us a total of 37. This is the marginal frequency of students who chose dancing.

Based on the survey results, it appears that a slightly higher percentage of art students prefer dancing (41.5%) compared to music students (31.9%). However, both groups of students seem to be fairly evenly split between dancing and playing sports, with a slight preference for playing sports overall.

It's worth noting that cardiovascular activity is important for overall health and well-being, and both dancing and playing sports can provide great opportunities for exercise and physical activity. Additionally, both activities can also be enjoyable and provide a sense of community and social connection, which is important for middle school students who are still developing their social skills and relationships. Ultimately, the choice between dancing and playing sports will depend on individual interests, preferences, and abilities.

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Answer:

2a+7 2a+4

2a-1 2a+b-3

2a-b-1 2a

Answer:

2/x + 9

Step-by-step explanation:

The equations that could be one of the equivalent steps in her solving process include the following:

A. (x + 6)² = 50

D. x = -6 ± √50

H. x² + 12x + 36 = 50

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

In order to complete the square, you should add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 12x - 5 = 9

x² + 12x = 9 + 5

x² + 12x = 14

x² + 12x + (12/2)² = 14 + (12/2)²

x² + 12x + 36 = 14 + 36

x² + 12x + 36 = 50 (equivalent step)

x² + 6x + 6x + 36 = 50

x(x + 6) + 6(x + 6) = 50

(x + 6)(x + 6) = 50

(x + 6)² = 50 (equivalent step)

x + 6 = ±√50

x = -6 ± √50 (equivalent step)

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Answer:

\((x+6)^2=50\)

\(x=-6\pm5 \sqrt{2}\)

\(x^2+12x+36=50\)

Step-by-step explanation:

Given quadratic equation:

\(x^2+12x-5=9\)

To complete the square, begin by moving the constant to the right side of the equation by adding 5 to both sides:

\(x^2+12x-5+5=9+5\)

\(x^2+12x=14\)

Add the square of half the coefficient of the x-term to both sides of the equation:

\(x^2+12x+\left(\dfrac{12}{2}\right)^2=14+\left(\dfrac{12}{2}\right)^2\)

\(x^2+12x+\left(6\right)^2=14+\left(6\right)^2\)

\(x^2+12x+36=14+36\)

\(x^2+12x+36=50\)

Factor the perfect square trinomial on the left side of the equation:

\((x+6)^2=50\)

Square root both sides of the equation:

\(\sqrt{(x+6)^2}=\sqrt{50}\)

\(x+6=\pm\sqrt{50}\)

\(x+6=\pm\sqrt{25 \cdot 2}\)

\(x+6=\pm\sqrt{25} \sqrt{2}\)

\(x+6=\pm5 \sqrt{2}\)

Subtract 6 from both sides of the equation:

\(x+6-6=\pm5 \sqrt{2}-6\)

\(x=-6\pm5 \sqrt{2}\)

Therefore, the equivalent steps from the given answer options are:

\((x+6)^2=50\)

\(x=-6\pm5 \sqrt{2}\)

\(x^2+12x+36=50\)

Answer:

dfgv nm./

Step-by-step explanation:

Answer:

1122

Step-by-step explanation:

Answer:1122

Step-by-step explanation: Adding 848, to 274= 1122.

Answer:

9 Prizes

Step-by-step explanation:

She begins with 420 tickets.

She goes on 2 rides for 75 tickets each so 420-75-75= 270

She then attends the concert for 180 tickets so 270-180= 90

Now she is left with 90 tickets. 10 tickets = 1 prize therefore you can do 90/10 = 9

9 PRIZES

The equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

The linear equation can be written in form of:

y = mx + c

The points are (1, 5) and (-2, 3)

The equation of the line:

y - 3 = (3 - 5)/(-2-1)[x + 2]

y = -2/(-3)[x + 2] + 3

y = (2/3)x + 4/3 + 3

y = (2/3)x + 13/3

Thus, the equation of the line is y = (2/3)x + 13/3 if the equation passes through (1, 5) and (-2, 3).

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Answer:

Step-by-step explanation:

to find x;

-4x - 2 -1 =8

-4x + 3 = 8

+4  + 3 = +4

x + 3 = 12

   -3 + -3

    x  =  10

to find y;

y = x2 - 3

y = (10)2 - 3

y = 20 - 3

y = 17

Answer:

Step-by-step explanation:

A

Answer:

f(g(2)=118

f(f(2)=26

Answer:

Histogram thats on the right

Step-by-step explanation:

process of elimination and more specific=qualifying data

An exterior angle of a triangle is equal to the sum of the opposite interior angles.

⇢∠V + ∠T = ∠x

⇢53° + 103° = 156°

⇢∠VUX = 156°

‌

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Hence , option b is the correct answer.

Answer:

B) 156 is correct

Hope it helps

Answer:

? measures (13 - 9) or 4 yards

Step-by-step explanation:

The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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In order to calculate the yard line at the end of the fourth down we would have to make the following calculations:

On the next three downs they lost 6 yards, so if they lost we would have to substract from 25 yard the 6 yards, so first substract 25-6=19

They gained 10 yards, so 19 +10=29

Finally they lost 8 yards, so 29-8=21

Therefore, the yard line at the end of the fourth down was 21

Answer:

-3x^2-18x-40

Step-by-step explanation:

(x+3)^2: x^2+6x+9

= -3(x^2+6x+9)-13

Expand:

-3(x^2+6x+9): -3x^2-18x-27

= -3x^2-18x-27-13

Final Answer: -3x^2-18x-40

Answer:

-3x^2-18x-40

Step-by-step explanation:

-3(x+3)^2-13

-3(x^2+6x+9)-13

-3x^2-18x-27-13

-3x^2-18x-40

The error in computing the area of triangle is 10.75 and the percentage error in computing the area of triangle is 1.194%.

Given that, base of the triangle is 36 cm (a)

Altitude of the triangle is 50 cm (b)

Error in each measurement is 0.25 cm

We know that, area of the triangle (s) = 1/2 * base * altitude

Let us consider base as ' a ' and altitude as ' b '

So, the maximum error of ' s ' can be calculated as

⇒ ds/da * da + ds/db * db

⇒ 1/2* b * da + 1/2 *a * db

⇒ 1/2* 36 * 0.25 + 1/2* 50* 0.25

⇒ 4.5 + 6.25 = 10.75

Now, let us calculate the percentage error in computing the area of the triangle.

dA/A * 100 = [(1/2* b* da + 1/2* a * db)/ 1/2* b *h] * 100

⇒ [(1/2* 36 * 0.25 + 1/2* 50 * 0.25)/ 1/2* 36 * 50] * 100

⇒ [ 21.5/ 1800 ] * 100

⇒ 1.194%

Thus, the error in computing the area of the triangle is 10.75 and the percentage error in computing the area of the triangle is 1.194%.

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Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

Number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7. This can be obtained by assuming the value of number of seats in each row, forming quadratic equation and using quadratic formula to find root.

Here in the question it is given that,

We have to find the number of seats in each row.

Let us assume that the number of seats in each row be x.

From the given statement, number of seats in each row exceeds the number of rows by 7, we can write that,

Number of seats in one row = Number of rows + 7

x = Number of rows + 7

⇒ Number of rows = x - 7

Total number of seats in the auditorium can be written as,

⇒ (Number of seats in one row)(Number of rows) = Total number of seats

(x)(x - 7) = 2244

x² - 7x = 2244

⇒ x² - 7x - 2244 = 0

By using quadratic formula we can find the root,

x = (-b ± √b² - 4ac)/2a

here in the question, a = 1, b = -7, c = -2244

√b² - 4ac = √(-7)² - 4(1)(-2244)

√b² - 4ac = √49 + 8976

√b² - 4ac = √9025

√b² - 4ac = 95

x = (-b ± √b² - 4ac)/2a

x = (7 ± 95)/2

x = 102/2 or x = -88/2

⇒ x  = 51 or x = -44

Hence number of seats in each row is 51 given that a rectangular auditorium seats 2244 people and number of seats in each row exceeds the number of rows by 7.

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Answer:

The base is 14 and the height is 8

Step-by-step explanation:

8 times 14 is 112. 112 divided by 2 is 56.

Answer:

Yes, they are parallel

Step-by-step explanation:

You can rewrite the second equation in slope intercept form to get your answer.

x-2y-8=0

-2y=-x+8

y=1/2x-4

Since the slope of this line is the same as that of the first, they are parallel. Hope this helps!

Answer:

see below

Step-by-step explanation:

Take the second equation and put it in slope intercept form

y = 1/2x+3

x -2y -8=0

Subtract x from each side

x-2y-8-x = 0-x

-2y -8 = -x

Add 8 to each side

-2y -8+8 = -x+8

-2y = -x+8

Divide each side by -2

-2y/-2 = -x/-2 +8/-2

y = 1/2 x -4

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

The slopes are the same  and the y intercepts are different which means they are parallel lines.  If they had the same slopes and the same y intercept they would be the same line

The decimal representation of the given sequence is 4,063.21.

The given sequence can be interpreted as follows: "63 ones, 21 hundredths, 4 thousand." To convert this sequence into decimal form, we need to understand the place value of each digit.

Starting from the left, we have "63 ones." This means we have 63 units, which can be represented as 63.

Next, we have "21 hundredths." Since there are two digits after the decimal point, the number becomes 0.21.

Finally, we have "4 thousand." Considering the place value, 4 thousand would be written as 4,000.

Putting it all together, we have 63 + 0.21 + 4,000, which equals 4,063.21. Therefore, the decimal representation of the given sequence is 4,063.21.

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Answer: A prime is (-4,-5). B prime is (0,-1). C prime is (1,-5)

Step-by-step explanation:

You can either count three units to the right and from there 7 units down from each point to find its prime, or alternatively from each original x,y value of each point you can add 3 to the x value (because it wants you to move 3 units to the right and subtract 7 from the y value (because it wants you to move down 7 units).

Answer:

\(\boxed{\boxed{\sf \frac{5}{4} \:\: or\:\: 1.25}}\)

Step-by-step explanation:

\(\sf \cfrac{10}{14}\div \cfrac{4}{7}\)

Apply fraction rule:

\(\boxed{\sf \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}}\)

\(\longmapsto\sf \cfrac{10}{14}\times \cfrac{7}{4}\)

\(\longmapsto\sf \cfrac{10}{14}\)

Factor numbers:

\(\longmapsto\sf \cfrac{2\cdot \:5}{2\cdot \:7}\)

Cancel comment factor: 2

\(\longmapsto\sf \cfrac{5}{4}\)

____________

\(\longmapsto\sf \cfrac{5}{7}\times \cfrac{7}{4}\)

Cross:

Cancel 7:

\(\longmapsto\sf \cfrac{5}{4}\)

or

\(\longmapsto\sf 1.25\)

______________________________________

9514 1404 393

Answer:

  variation is NOT direct

Step-by-step explanation:

The +1 tells you the variation is not direct. The equation of direct variation is of the form ...

  y = kx

with nothing added.

You launch an object off a 55-foot cliff. If the object was launched at 85 feet/second,  64.23 feet/second long it will take for the object to hit the ground below. This can be solved using the concept of law of conservation of energy.

Three fundamental quantities all maintain their original values. Energy, momentum, and angular momentum are these. Energy is a conserved quantity, which could surprise you if you've read instances in previous pages, such the kinetic energy of charging elephants. The first law of thermodynamics, generally known as the law of conservation of energy, stipulates that the energy of a closed system must remain constant and cannot rise or fall on its own without external intervention.

Given that,

Height of the cliff, h= 55 Foot

Initial speed of the projectile, u = 85 m/s

Let, the projectile hit the ground with velocity "v"

Applying the law of conservation of energy,

mgh + 1/2 mu² = 1/2 mv²

or, m (gh + 1/2 u²) = 1/2 mv²

or, (gh + 1/2 u²) = 1/2 v²

or, 10 × 55 + (1/2 × (55)²) = 1/2 v²

or, 550 + 1512.5 = 1/2 v²

or, 2062.5 = 1/2 v²

or, 4125 = v²

or, v = 64.23 feet/second

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