PLEASE HELP ASAP!!!!
Given the frequency table, what percentage of the students in grades 9–10 like rap music? Round to the nearest whole percent.

Band Preference for School Dance
Grade group | Rap | Rock | Country | Row totals
Grades 9–10 | 40 | 30 | 55 | 125
Grades 11–12 | 65 | 20 | 35 | 120
Column totals | 105 | 50 | 90 | 245
A.40%
B.38%
C. 32%
D.16%

The computation time for the out-degree of every vertex, for an adjacency-list representation of a directed graph,is equals to O(|E|+|V|).

Adjacency-list is one of the most basic and frequently used node graph representation of a network. In this representation of a directed graph, the out-degree of a vertex is simply the number of adjacent vertices in the list

The time to calculate the out-degree is straight forward. The out-degree of a vertex is defined as the number of edges pointing outwards from that vertex. Consider the following adjacency list.

1 -> 2 -> 3

2 -> 5

3 -> 4

4 -> 2 -> 3

5 -> 1

To calculate the out-degree we loop in this adjacency list and count the number of vertices in each of the lists. For example, Vertex 4 in the above list has 2 nodes in the list. Therefore outdegree of node 4 is 2. Clearly time take by this algorithm is O(|E|+|V|).

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The surface area of each block can be found by adding up the areas of all six faces. The area of each face is simply the product of its length and width.

The block has two faces that are 8 cm long and 5 cm high, so each of these faces has an area of 8 cm x 5 cm = 40 cm^2.

The block also has two faces that are 4 cm wide and 5 cm high, so each of these faces has an area of 4 cm x 5 cm = 20 cm^2.

Finally, the block has two faces that are 8 cm long and 4 cm wide, so each of these faces has an area of 8 cm x 4 cm = 32 cm^2.

Adding up the areas of all six faces, we get:

Surface area = 2(40 cm^2) + 2(20 cm^2) + 2(32 cm^2)

Surface area = 80 cm^2 + 40 cm^2 + 64 cm^2

Surface area = 184 cm^2

Therefore, the surface area of each block is 184 square centimeters.

Answer:

Step-by-step explanation:

so add then dummy

The family lives throughout the year in Canada so there cannot be any fraction.

Given that a family lives in Canada throughout the year, we need to find the fraction of the family does not live in Canada.

So, through out the year means 12 months,

That means the family is leaving there for all 12 months,

So, there cannot be any month when they are not living there,

Hence the family lives throughout the year in Canada so there cannot be any fraction.

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The translated question is =

a family lives in canada throughout the year. every year has 12 months. what fraction of the year, in twelfths, the family don't live in canada? explain.

The simplified expression is -(V⁹/W⁶).

How to simplify the expression?

For simplify combine the exponents of V in the numerator and denominator using the quotient rule of exponents which states that

[tex] \frac{V^(a)}{V^(b)} = V^{(a-b)}[/tex]

.Some more important formulas are

[tex]{x}^{0} = 1 \\ {x}^{1} = x \\ {x}^{a} \times {x}^{b} = {x}^{a + b} \\ \frac{ {x}^{a} }{ {x}^{b} } = {x}^{a - b} \\ {x}^{ {y}^{a} } = {x}^{ya} \\ {x}^{ - 1} = \frac{1}{x} \\ {x}^{a} \times {y}^{a} = {(xy)}^{a}[/tex]

We know,

[tex] \frac{W^{(a)}}{W^{(b)}} = W^{(a-b)}[/tex]

Thus,

[tex] \frac{(V^3W^{(-3))}}{(-V^{(-6)}W^3)}[/tex]

[tex]= \frac{{ (V^{(3-(-6))} W^{(-3-3))}}} { (-1)}[/tex]

[tex]= -V^9W^{(-6)} \\ = (-1) \frac{V^9}{W^6} \\ = -{V^9}{W^6}[/tex]

Therefore, the simplified expression is -(V⁹/W⁶).

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The percentage of values from the z-scores are 29.43% and 5.40%, respectively

Here, we have

Between z = 0.53 and 2.67

This is represented as

Percentage = (0.53 < z < 2.67)

Using a graphing calculator, we have

Percentage = 29.43%

Next, we have

To the right of z = 1.61

This is represented as

Percentage = x > 1.61

Using a graphing calculator, we have

Percentage = 5.40%

For the z-scores, we have

Percentage = 35% to the left of the z-score

This means that

P(z < z) = 0.35

Evaluate

z =  -0.385

Next, we have

Percentage = 18% to the right of the z-score

This means that

P(z > z) = 0.18

z =  0.915

Hence, the z-scores are -0.385 and 0.915

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The height of the woman will be 68 inches, so the correct option is B.

Here we know that the average height of women in the United States is 62 inches with a standard deviation of 2 inches.

We want to find the height of a women whose height is 3 standard deviations above the mean.

This is really simple, just take the average height and add 3 times the standard deviation, we will get:

62 in + 3*2in

62in + 6in

68in

The height is 68 inches, so the correct option is B

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Autumn paid $2.52 as a tip which was 15% of her bill.

A tip is a financial gift or gratuity given to someone as appreciation for their service, often in a restaurant or other service-related setting. To express gratitude for excellent service, it is common practice in many nations to leave a tip that is a portion of the entire cost. In many nations, leaving a tip is customary, especially in the service sector, which includes restaurants, hair salons, hotels, and taxis. For example, it is typical to tip between 15% and 20% of the whole bill in restaurants in the United States for good service.

The total amount Autumn paid includes the cost of the lunch and the tip, so we need to subtract the cost of the lunch to find the amount of the tip.

Tip = Total amount paid - Cost of lunch

Tip = $19.32 - $16.80

Tip = $2.52

To find the percentage of the tip, we need to divide the tip amount by the cost of the lunch and then multiply by 100:

Tip percentage = (Tip / Cost of lunch) x 100

Tip percentage = ($2.52 / $16.80) x 100

Tip percentage = 0.15 x 100

Tip percentage = 15%

Therefore, Autumn left a tip that was 15% of her bill.

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Answer:

D

Step-by-step explanation:

Add like terms

5x + 3x + 7 = 8x + 7

the second expression is 8x + 7 therefore they are equivalent to eachother

The domain of the given function is the set of all real numbers.

Given is a graph of an absolute value function, we need to find the domain,

We know,

An absolute value function is a function with a definition that contains an algebraic expression within absolute value symbols.

The domain of all absolute value functions that are in the form

() = | + | is the set of all real numbers, or R , while the range is

() ≥ 0, or [ 0, ∞ [ .

Hence, the domain of the given function is the set of all real numbers.

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Based on the sample data, it can be concluded that the statement "the average profit for Sunday's events is $20.25" is true.

The sample data only provides information on the average profit for Friday's and Sunday's activities. There is no information given regarding the average profit for each of the Carey's workouts. Therefore, it is impossible to determine whether or not the statement regarding the average profit for Carey's workouts is true or false.

Conclusion: In conclusion, based on the analysis of the sample data, the statement "the average profit for Sunday's events is $20.25" can be considered true. However, no information can be provided regarding the accuracy of the other statement regarding the average profit for Carey's workouts, as it is not included in the given data.

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Answer:

[tex]x = 11\\\\y = 0[/tex]

Step-by-step explanation:

Given equations are

x + 4y = 11   ....... [1]

x - 6y = 11   ....... [2]

[1]  - [2]

[tex]x-6y& =11\\-\\\underline{x+4y=11}\\\\-10y &= 0\\\\y = 0\\\\[/tex]

Substitute y = 0 in equation [1]
x + 4y = 11

x + 4(0) = 11

x = 11

-

The probability that Martha will arrive first and Armando will arrive last is 1/120

For Martha to arrive first, there is only 1 possible order for her arrival, since she needs to be the first one. Similarly, for Armando to arrive last, there is only 1 possible order for his arrival, since he needs to be the last one.

Now that we have determined the number of ways that Martha can arrive first and Armando can arrive last, we can calculate the probability of this scenario occurring. To do this, we need to divide the number of ways that Martha can arrive first and Armando can arrive last by the total number of possible arrival orders.

This means that out of all possible arrival orders, there is only a 1/120 chance that Martha will arrive first and Armando will arrive last.

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Answer:

a)24

b)5

Step-by-step explanation:

16/6=y/9

8/3=y/9

croaa multiply

3y=9×8

divide both sides by 3

3y/3=9×8/3

y=3×8

y=24

b)45/27=x/3

5/3=x/3

3x=5×3

divide both sides by 3

3x/3=5×3/3

x=5

The expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.

Let's assume that Jim scored 'j' points during the game. According to the given information, when Jim doubles his number of points and subtracts 10 from that number, the result is the same as the number of points Avery scored. Therefore, we can write an equation as follows:

2j - 10 = number of points scored by Avery

To find the expression representing the number of points Avery scored in terms of the number of points Jim scored, we simply solve the above equation for Avery's points:

number of points scored by Avery = 2j - 10

Therefore, the expression representing the number of points Avery scored in terms of the number of points Jim scored is 2j - 10.

In summary, Jim scored 'j' points during the game and when he doubles his number of points and subtracts 10 from that number, he gets the same result as the number of points Avery scored.

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A statement which could be a representative sample of the population is: 4) She uses a computer program to randomly select names from a list of students at her school.

In Statistics and Science, a population can be defined as a set of similar items or events that comprises every member of a group and from which a researcher, scientist, or experimenter, obtains or generates data for a statistical study such as students in a school.

In Statistics and science, a sample can be defined as a set of data that is collected from a population based on a well-defined sampling procedure.

In this context, we can reasonably infer and logically deduce that a representative sample should reflect all of the proportions for the entire population that was sampled randomly.

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Answer:

Step-by-step explanation:

[tex]\mathrm{\cfrac{1}{4}\left(-4^3+10^2\right)}[/tex]

[tex]\mathrm{\cfrac{1}{4}\times\:36}[/tex]

Therefore, option B. 9 is our answer!

____________________

Hope this helps!

An equation of this line in slope-intercept form include the following: y = -5x + 6.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (1 - 6)/(1 - 0)

Slope (m) = -5/1

Slope (m) = -5.

At data point (0, 6) and a slope of -5, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 6 = -5(x - 0)

y = -5x + 6

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Answer:

The distance around the hat using π = 3.14 is 16.64 inches (rounded to the hundredths place).

Thus, the dimensions that will give the maximum enclosed area are:  x = (320 - 3w)/4 and y = 80 - 3w/2.

To find the dimensions that will give the maximum enclosed area, we need to use the formula for the area of a rectangle, which is A = lw (where A is the area, l is the length, and w is the width).

Let's call the length of one corral x and the length of the other corral y. Since the corrals are adjacent, they share a common side, which we'll call w.

So we have two equations:

2x + y + 3w = 320 (the total amount of fencing)

A = xy (the area we want to maximize)

We can solve the first equation for y:

y = 320 - 2x - 3w

Then substitute that into the equation for the area:

A = x(320 - 2x - 3w)

Now we need to find the value of x that will give us the maximum area. To do this, we'll take the derivative of A with respect to x, set it equal to zero, and solve for x:

dA/dx = 320 - 4x - 3w = 0

4x = 320 - 3w

x = (320 - 3w)/4

Now we can substitute that value of x back into our equation for y:

y = 320 - 2(320 - 3w)/4 - 3w

y = 80 - 3w/2

We know that w must be positive, so we can find the maximum value of the area by taking the second derivative of A with respect to x:

d^2A/dx^2 = -4

Since this is negative, we know that we have a maximum.

So the dimensions that will give the maximum enclosed area are:

x = (320 - 3w)/4

y = 80 - 3w/2

w > 0

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The philanthropist must make an endowment of $3,125,000 to the heart research center to provide them with $250,000 per year indefinitely.

To calculate the size of the endowment, we need to use the formula for the present value of a perpetuity. The present value of a perpetuity is the amount of money that needs to be invested today to generate a fixed amount of income indefinitely.

The formula for the present value of a perpetuity is:

PV = PMT / r

Where PV is the present value of the perpetuity, PMT is the fixed payment made each period, and r is the interest rate.

In this scenario, the PMT is $250,000, and the interest rate is 8 percent.

PV = 250,000 / 0.08

PV = 3,125,000

Therefore, the endowment must be $3,125,000 to generate $250,000 per year into perpetuity at an interest rate of 8 percent.

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The burger costs $5.00, the souvenir costs $15.00, and the pass costs $30.00. We have used linear equation to solve the question.

What is linear equation ?

A linear equation is an equation of a straight line with a constant slope. It has the form y = mx + b, where m is the slope of the line and b is the y-intercept (the point where the line crosses the y-axis).

Let's represent the cost of the souvenir as x.

According to the problem, the burger cost 1/3 as much as the souvenir, so the cost of the burger is (1/3)x.

The souvenir cost 1/2 the cost of the pass, so the cost of the pass is 2x.

The total cost of the three items is therefore:

(1/3)x + x + 2x = 36.50

Simplifying this equation, we get:

(7/3)x = 36.50

Multiplying both sides by 3/7, we get:

x = 15 (approx.)

So the souvenir cost $15. The burger costs 1/3 as much as the souvenir, or $5. The pass costs 2x, or $30.

The total cost of the three items is therefore:

$15 + $5 + $30 = $50.

Subtracting the $4.00 Jerry had left over, the total amount Jerry spent is $46.00.

Therefore, the burger costs $5.00, the souvenir costs $15.00, and the pass costs $30.00.

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The complete question is :

Jerry brought $36.50 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 /3 as much as the souvenir, and the souvenir cost 1/ 2 the cost of the pass. Jerry had $4.00 left after buying the three items. How much did each item cost?

Answer:

3x

Step-by-step explanation:

6 + 3(x-2)

6 + (3x -6)

6 + 3x -6

6-6 + 3x

3x

Answer: 3x

Step-by-step explanation: distribute 6 + 3(x - 2)

                                                               6 + 3x - 6

subtract the numbers 6 + 3x - 6 = 3x

The median is less susceptible to influence from outliers compared to the mean. When the median and mean are far from each other, it usually indicates that there are outliers present in the data or the data is skewed, which affects the mean value more than the median value.

The median is less susceptible to influence from outliers compared to the mean. This is because the median is not affected by extreme values, but rather represents the middle value of a dataset. On the other hand, the mean can be heavily influenced by outliers, as it takes into account all values in the dataset.

If the median and mean are far from each other, this means that the distribution of the dataset is skewed. In other words, there may be some extreme values that are pulling the mean away from the median.

This could be an indication of the presence of outliers or a non-normal distribution. It is important to investigate further and understand the nature of the data before drawing any conclusions.

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A seventh grader selected at random has a 76% chance of playing an instrument other than the guitar.

The study of chance and uncertainty is covered in the mathematical field of probability.

There are 38 seventh graders in all who play an instrument, which is equal to 9 + 9 + 11 + 9.

11 + 9 + 9 equals 29, the number of seventh graders who play instruments besides the guitar.

Hence, the likelihood that a randomly selected seventh grader will play an instrument other than the guitar is:

29/38 ≈ 0.763

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question 11.

The correct statement should be option C: After 3 years, Bank A will pay Benjamin $23.13 more than Bank B.

question 12:

Jenny will earn $758.11 more interest will she earn if she invests $500 at 4.25% interest, compounded annually for 10 years, than if she invests $500 at 4.25% simple interest for 10 years.

Option A is correct.

Applying the  formula for simple interest, Jenny will earn $212.50 ($21.25 per year) in interest after 10 years, which means that she will have a total of $712.50.

When we also apply  the formula for compound interest, Jenny will earn $975.61 after 10 years which means that  after 10 years, she will have a total of $1475.61.

we then find the difference  the total amounts earned in compound interest and simple interest is $1475.61 - $712.50 = $763.11, which we can  rounds down to $758.11.

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The expected frequency of South campus and passed will be 36.5. Calculating the total number of students who took the aptitude exam is the first step in determining the expected frequency of South campus and passing.

Total number of students = 42 + 31 + 58 + 69 = 200

The marginal totals for South campus and passed need to be calculated as:

Marginal total for South campus is 42 + 58 = 100

Marginal total for passed is 42 + 31 = 73

Using the following formula, we can now know the anticipated frequency for the South campus and passed:

Expected frequency = (row total * column total) / grand total

Expected frequency for South campus and passed = (100 * 73) / 200 = 36.5

Therefore, the expected frequency of South campus and passed=36.5.

In the event that there is no appreciable difference between the two campuses' pass rates, this statistic represents the anticipated number of students who passed the aptitude exam at the South campus.

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Answer: 5÷ 1/6 =30

Step by step explaination:

Answer:

Step-by-step explanation:

assuming there is no interest on the installment payment

6 years = 72 months

14,384.52 : 72 = 199.785 units

Answer:

A.

Step-by-step explanation:

The answer is A. 2 seconds after it was shot.