1. How many games did each team play? The men played

Answer : 8$

you have 1$ left

The constant of proportionality is 28.

In the equation Y=28x, we can see that Y is directly proportional to x.

This means that as x increases or decreases, Y will increase or decrease in proportion.
The constant of proportionality, denoted by k, is the value that relates Y and x in the equation.

To find k, we can use the formula:
k = Y/x
So, in this case, k = 28.
This means that for every unit increase in x, Y will increase by 28 units.

Alternatively, for every unit decrease in x, Y will decrease by 28 units.
The constant of proportionality is an important concept in mathematics and science because it allows us to predict how changes in one variable will affect another variable.

By understanding the relationship between Y and x in this equation, we can use it to make predictions or solve problems in various fields, such as economics, physics, and engineering.
The equation y = 28x represents a proportional relationship between y and x, where y is 28 times as large as x.

The constant of proportionality (k) in this case is the factor that relates x to y.

Since y = 28x, we can see that k = 28.

For similar question on proportionality:

https://brainly.com/question/29126727

#SPJ11

The plot of the residuals to the area indicates that the graph that corresponds to the residuals is the second option.

Please find attached the graph of the residual plot for the data created with MS Excel

A residual plot is a tool used for assessment of statistical models, to determine how fit the model is to the data. A residual plot is a plot of the residuals to the input or x-values of the data.

The trend line for the data in the question obtained using MS Excel indicates that we get; y = 0.1128·x + 3.6158

The residuals, which is the difference between the actual values and the calculated value obtained using MS Excel are;

Area (in²)    \({}\)              Residuals

x-value

5 \({}\)                             -1.0178

10 \({}\)                           -0.2718

24 \({}\)                           0.605

46 \({}\)                           0.7874

53 \({}\)                           0.7018

78 \({}\)                           0.0758

84 \({}\)                           -0.129

100 \({}\)                         -0.7538

The above values for the areas and the residuals indicates that the residual plot is n shaped, with the first two values being below the x-axis, which corresponds to the second option

Learn more on residual values of a set of data here: https://brainly.com/question/31687998

#SPJ1

The given point on the midline of (π, -4), and the minimum point of (π/4, -5.5), give the exact expression for f(x) as; f(x) = 1.5•sin((2/3)•(x - π)) - 4.

The amplitude, a = The difference between the y-values at the minimum point and the midline

Therefore;

a = -4 - (-5.5) = 1.5

d = The difference between the y-values of the midline and the x-axis

Therefore;

d = -4 - 0 = -4

The given function is presented as follows;

f(x) = a•sin(b•x + c) + d

Which gives;

-4 = 1.5•sin(b•π + c) - 4

sin(b•π + c) = 0

(b•π + c) = 0

-c/b = π

c = -b•π

Therefore;

-5.5 = 1.5•sin(b•π/4 + c) - 4

-1.5 = 1.5•sin(b•π/4 + c)

-1 = sin(b•π/4 - b•π) = sin(-3•b•π/4)

-3•b•π/4 = arcsine (-1) = -π/2

-3•b•π/4 = -π/2

3•b/4 = 1/2

b = 2/3

c = -(2/3)•π

Therefore, f(x) = a•sin(b•x + c) + d, gives;

f(x) = 1.5•sin((2/3)•x - (2/3)•π) - 4

By simplification, the exact expression for f(x) is therefore;

Learn more about the the general form of the sine function here:

https://brainly.com/question/12102275

#SPJ1

Answer:

The total cost of the skateboard is $87.32.

Step-by-step explanation:

The average number of likes will be 16.5. the correct option is D.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data. The mean is calculated by adding all the data points and dividing it by the total number of the data.

Given that Bethany has a photo website where she places photos that she has taken so others can see them. Below is how many likes each of her current photos was given: 10, 13, 15, 15, 17, 29.

The average will be calculated as:-

Mean = ( 10 + 13 + 15 + 15 + 17 + 29 ) / 6

Mean = 99 / 6

Mean = 16.5

Therefore, the average number of likes will be 16.5. the correct option is D.

To know more about mean follow

https://brainly.com/question/968894

#SPJ1

Answer:

2,436

Step-by-step explanation:

Answer: 2400 estimated

Step-by-step explanation:

Real answer would be 2,436

Answer:

B. More than 90

Step-by-step explanation:

Hope this helps!

Slope of regression is 0.8710 and at 4 tons top speed of boat is 111.064 mph.

Linear regression is a data analysis technique that predicts the value of unknown data by using another related and known data value. It mathematically models the unknown or dependent variable and the known or independent variable as a linear equation.

Given, In a study of the performance of a new engine design, the weight of 12 speed boats (in tons) and the top speed (in mph) were recorded.

Solution(a)

Given in the question

Dependent variable is top speed of a boat (in mph) Independent variable is weight of boat (in tons)

from the coefficient table of Enova summary we can write least square regression line as follows

Top speed = 107.58 +0.8710* Weight of boat

Here intercept of regression line = 107.58

Slope of regression line = 0.8710

Solution(b)

if X = 4 tons

than predictive value of the top speed of a boat can be calculated as

Top speed = 107.58 +0.8710 * 4 = 107.58 +3.484 = 111.064 mph predictive value of the top speed of a boat = 111.064 mph if its weigh It is 4 tons.

Learn more about linear regression here:

https://brainly.com/question/29665935

#SPJ1

Complete question:

Answer:

X=17

Step-by-step explanation: You would first group like terms. Then you would do 6-7. Then you would add 1 to both sides and get X=17.

Answer:

x=17

Step-by-step explanation:

Groups like terms

x+6-7=16

Subtract the numbers: 6-7= -1

x-1=16

Add 1 both sides

x-1+1=16+1

Simplify

x=17

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

πr^2 h

π(11)^2 (15)

= 1815π or = 5701

Edit, my calc is broken, sorry for the inconvenience, please disregard.

The number decreased by 14%  is found as the 133.7.

A percentage is defined as a relative value that represents the hundredth part of any quantity. Each percent (symbolized 1%) is one hundredth portion; thus, 100 percent symbolizes the entire amount and 200 percent defines twice the given amount.

Let the original number be 'x'.

number decreased by 14%

That means of x = 460.

Then,

86% of x = 1115

86x/100 = 115

x = 11500/86

x = 133.7

The original number be 133.7.

To know more about the percentage, here

brainly.com/question/24304697

#SPJ2

Answer:

10.7

Step-by-step explanation:

Since this is a right triangle, we can use trig functions to calculate the hypotenuse.

We know the opposite side from the angle labeled 59 degrees.

sin 59 = opp side / hypotenuse

sin 59 = 9.2/x

x = 9.2/ sin 59

x = 10.733

The value of AB is,

⇒ AB = 5.9

(rounded to nearest tenth)

We have to given that,

A right triangle ABC is shown.

Now, By trigonometry formula,

we get;

⇒ cos 33° = Base / Hypotenuse

Substitute all the values, we get;

⇒ cos 33° = AB / 7

⇒ 0.84 = AB / 7

⇒ AB = 0.84 × 7

⇒ AB = 5.88

⇒ AB = 5.9

(rounded to nearest tenth)

Thus, We get;

AB = 5.9

(rounded to nearest tenth)

Learn more about trigonometric ratios at:

brainly.com/question/1836193

#SPJ1

Consider the given series,

Observe that the given series is a geometric progression, since the ratio is constant throughout,

Solve for the common ratio as,

Thus, the common ratio of the series is -1/2.

Answer:

This statement shows the Commutative Property of Multiplication. It basically says that now matter order in which you multiply, you still have the same answer because, for example, 4*5=5*4. You can multiply 4 by 5 but you could also multiply 5 by 4 because multiplication is commutative. :)

Step-by-step explanation:

Answer:

y = 1.5x +14

Im pretty sure this is right but i am so sorry if this is wrong

1. A Ratio scale is a quantitative scale.

2. An interval scale is a quantitative measurement scale.

3. A Nominal scale is a scale of measurement.

4. An Ordinal scale is a variable measurement scale.

What is unit of measurement?

A unit of a measurement is a definite magnitude of a quantity defined by convention or by law.

Now,

1. A Ratio scale is a quantitative scale where there is a true zero and equal intervals between neighboring points.

2. An interval scale is a quantitative measurement scale in which the difference between the two variables is meaningful.

3. A Nominal scale is a scale of measurement used to assign events or objects into discrete categories.

4. An Ordinal scale is a variable measurement scale used to simply depict the order of variables and not the difference between each of the variables.

Thus,

1. A Ratio scale is a quantitative scale.

2. An interval scale is a quantitative measurement scale.

3. A Nominal scale is a scale of measurement.

4. An Ordinal scale is a variable measurement scale.

Learn more about the measurement units visit:

https://brainly.com/question/28012687

#SPJ1

If a desk is on sale for $391, which is 68% of the regular price then the regular price of the desk is $575.

Let the regular price "x".

We know that the sale price is 68% of the regular price, which can be written as:

Sale price = 0.68 × x

We also know that the sale price is $391

so we can set up an equation:

0.68 × x = 391

To solve for x, we can divide both sides by 0.68:

x = 391 / 0.68

Using a calculator or long division, we get:

x = 575

Therefore, the regular price of the desk is $575.

To learn more on Percentage click:

https://brainly.com/question/24159063

#SPJ1

The height is 114.83 ft and the distance of the ø if someone is observing below is 84.8.

The branch of mathematics that sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.

The trigonometric functions, also known as a circular, angle, or goniometric functions in mathematics, are real functions that link the angle of a right-angled triangle to the ratios of its two side lengths.

Given that at a given point of 67.7ft at the ground level of a covered court, the angle of elevation of a roof worker from the bottom is 38.6⁰ and the angle of elevation of the roof from the top is 42.4 degrees.

The base will be calculated as:-

tan(38.6) = P / B

tan(38.6) = 67.7 / B

B = 67.7 / tan(38.6)

B = 54.8 ft

The height will be calculated as:-

Cos(42.4) = B / H

H = 84.8 / Cos(42.4)

H = 114.83 ft

To know more about Trigonometry follow

https://brainly.com/question/24349828

#SPJ1

The value of the probability of the different events are,

The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

We have to given that;

A box contains 2 red marbles, 5 green marbles and 8 blue marbles.

Hence, Total marbles = 2 + 5 + 8 = 15

So, The value of the probability P (3) is,

⇒ 3 / 15

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/15 x 5/15

⇒ 8/15 x 1/3

⇒ 8 / 45

Thus, The value of the probability P (3) is,

⇒ 1 / 5

And, The value of the probability P (blue & green) is,

⇒ 8/45

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ1

Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

In planar geometry, an angle is a shape made up of two rays or lines that share an endpoint. The Latin word "angulus," which means "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle. A geometrical shape called an angle is created by connecting two rays at their termini. In most cases, an angle is expressed in degrees. In geometry, there are several different kinds of angles.

Given,

Triangle W X Z is shown. On side ZX, an altitude is drawn at a right angle from point W to point Y. The angles ZWY and WXY are congruent.

ΔYWZ ~ ΔYXW

Angle XWZ is a right angle is true about Angle XWZ.

To learn more about the angle, visit:

https://brainly.com/question/9448891

#SPJ1

Answer:Angle XWZ is a right angle if line WY is an altitude in triangle WXZ.

Step-by-step explanation:

Got it right on edge

Answer:

074°

Step-by-step explanation:

the bearing of Y from X is the measure of the angle from the north line (N) at X in a clockwise direction to Y , that is ∠ NXY

∠ NXY = 180° - 106° = 74°

the 3- figure bearing of Y from X is 074°

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

For more such questions on interest rates, click on:

https://brainly.com/question/25720319

#SPJ8

Answer:

The answer is C

Step-by-step explanation:

Answer:

456

Step-by-step explanation:

Product means an answer derived from multiplication.  Therefore, if the product is 155952, and one value is 342, then the following equation is true:

342x = 155952, or 342 * x = 155952

Divide 155952 by 342 to get: 456.

Check the work in the equation:

342(456) = 155952

155952 = 155952, which is true, so the answer is 456.

If I helped, please make this answer brainliest! ;)

Answer:

288 inches

Step-by-step explanation:

24x12 =  288

each foot has 12 inches