Find the value of X and Y in this triangle.

The number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Specify the correct number from the list below that corresponds to the appropriate null and alternative hypotheses for this problem.

It should be noted that the null hypothesis suggests that there's no statistical relationship between the variables.

The alternative hypothesis is different from the null hypothesis as it's the statement that the researcher is testing.

In this case, the number that corresponds to the null hypothesis and the alternative hypothesis will be 3 and 6 respectively.

Learn more about hypothesis on:

brainly.com/question/15980493

#SPJ12

The solution for the given equation X^3 + Y^2 = 971,028. So, option A is correct.

A multiple of a number is the number whose remainder is 0 when divided by the given number.

Consider 'a' as the multiple of a number 'n'.

Then, a ÷ n = b (and remainder = 0)

It is given that,

X = largest 2-digit multiple of 3 which is not a multiple of 5

⇒ X = 99

Y = smallest 2-digit multiple of 9 which is not a multiple of 6

⇒ Y = 27

Then, substituting the values in the given equation,

= X^3 + Y^2

= (99)³ + (27)²

= 970,299 + 729

= 971,028

Therefore, the value of the given equation is 971,028.

Learn more about multiples of a number here:

https://brainly.com/question/784558

#SPJ1

The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.

To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.

For Division A:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($230,000 / $2,120,000) * 100

Profit Margin ≈ 10.85%

For Division B:

Profit Margin = (Profit / Sales) * 100

Profit Margin = ($34,700 / $381,000) * 100

Profit Margin ≈ 9.11%

To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.

Net Income = Profit Margin * Sales

Net Income = 7% * $1,220,400

Net Income = $85,428

Return on Assets = Profit Margin * Asset Turnover

Return on Assets = 7% * 2.7

Return on Assets = 18.9%

For more such questions on profit,click on

https://brainly.com/question/29785281

#SPJ8  

Answer: This is undeterminable because there is no other information

Step-by-step explanation:

The sample space for a eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8} ( optionD)

A sample space a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment.

For example the sample space in a six- sided fair die is 6 and the items is {1, 2, 3, 4, 5, 6}. Each face of the die will represent a number from 1 to 6.

Similarly in a eight-sided fair die, the space on the die are 8 and each face will represent a number. This means that taking the numbers from 1, the faces will have 1, 2, 3 ,4 ,5, 6 ,7, 8,

Therefore the the sample space on a eight-sided fair die is {1, 2, 3, 4, 5, 6, 7, 8}.

learn more about sample space from

https://brainly.com/question/10558496

#SPJ1

Answer: D is the correct answer I got it right

Step-by-step explanation:

The speed of the boat is 22 km/h, and the speed of the stream is 4 km/h.

Let's assume the speed of the boat is B and the speed of the stream is S.

When the boat travels downstream, its speed relative to the shore is (B + S). Therefore, we can set up the following equation:

78 = 3(B + S)

When the boat travels upstream, its speed relative to the shore is (B - S). Therefore, we can set up the following equation:

72 = 4(B - S)

We now have two equations with two unknowns (B and S), which we can solve using algebra. First, let's simplify both equations by dividing both sides by the respective coefficients:

26 = B + S

18 = B - S

We can then add the two equations together to eliminate S:

44 = 2B

B = 22

We can substitute this value of B into one of the earlier equations to solve for S:

26 = 22 + S

S = 4

Therefore, the speed of the boat is 22 km/h, and the speed of the stream is 4 km/h.

Learn more about Speed

brainly.com/question/28224010

#SPJ11

Answer:

The difference between games won and games lost is 15.

Step-by-step explanation:

Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:

\(win + draws = 28\)

Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:

\(3*win + draws = 70\\\)

We now have a system of equations, which we can solve.

\(win + draws = 28\\3*win + draws = 70\\\)

Multiplying the first equation by -1:

\(-win- draws = -28\\3*win + draws = 70\)

Adding both equations:

\(2*win = 42\\win = 21\)

Since the team won 21 games and lost 6, the difference is 15.

Answer:

9 1/3

Step-by-step explanation:

Pls, choose me as brainliest!

Answer: 32.78 100% right

Step-by-step explanation:

Total money paid by Shayla including tip is $32.775.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Shayla's rideshare fare from the airport was $28.50, and she added a 15% tip.

So, the total money paid

= 28.50+15% of 28.50

= 28.50+15/100 ×28.50

= 28.50+0.15×28.50

= $32.775

Therefore, total money paid by Shayla is $32.775.

To learn more about the percentage visit:

brainly.com/question/24159063.

#SPJ6

Answer:

x > 6

Step-by-step explanation:

Given

3(x + 4) - 5(x - 1) < 5 ← distribute and simplify left side

3x + 12 - 5x + 5 < 5

- 2x + 17 < 5 ( subtract 17 from both sides )

- 2x < - 12

Divide both sides by - 2, reversing the symbol as a result of dividing by a negative value.

x > 6

To find the solution of the initial value problem y(0) = 11, y'(0) = -70, for the given differential equation y" + 14y' + 48y = 0, we can use the method of solving linear homogeneous second-order differential equations.

Assuming, the solution to the equation is in the form of y(t) = e^(rt), where r is a constant to be determined.
To find the values of r that satisfy the given equation, substitute y(t) = e^(rt) into the differential equation to get:
(r^2)e^(rt) + 14(r)e^(rt) + 48e^(rt) = 0.

Factor out e^(rt):
e^(rt)(r^2 + 14r + 48) = 0.
For this equation to be true, either e^(rt) = 0 or r^2 + 14r + 48 = 0.
Since e^(rt) is never equal to 0, we focus on the quadratic equation r^2 + 14r + 48 = 0.

To solve the quadratic equation, we can use factoring, completing squares, or the quadratic formula. In this case, the quadratic factors as (r+6)(r+8) = 0.

So, we have two possible values for r: r = -6 and r = -8.

General solution: y(t) = C1e^(-6t) + C2e^(-8t),
where C1 and C2 are arbitrary constants that we need to determine using the initial conditions.

Given y(0) = 11, substituting t = 0 and y(t) = 11 into the general solution to find C1:
11 = C1e^(-6*0) + C2e^(-8*0),
11 = C1 + C2.

Similarly, given y'(0) = -70, we differentiate y(t) and substitute t = 0 and y'(t) = -70 into the general solution to find C2:
-70 = (-6C1)e^(-6*0) + (-8C2)e^(-8*0),
-70 = -6C1 - 8C2.

Solving these two equations simultaneously will give us the values of C1 and C2. Once we have those values, we can substitute them back into the general solution to obtain the specific solution to the initial value problem.

Learn more about linear homogeneous second-order differential equations:

https://brainly.com/question/19130837

#SPJ11

A linear equation is the equation of a straight line. The solution to the system of linear equations is infinitely many solutions.

There are two straight lines on the attached graph. The lines are:

And both lines lie on one another,

This means that, both lines have the following features:

When lines have the above features to be the same, it means the equations of both lines are the same.

And as such, the solution to the system is infinitely many solutions.

Read more about equations at:

https://brainly.com/question/2263981

The lengths of LV and OE are 15cm, and the lengths of LD and EV are 3√7 cm and 9/√7 cm, respectively.

Since LOVE is a kite, LV and OE are perpendicular bisectors of each other. Let the length of LD be x, and the length of EV be y. Then, we can use the Pythagorean theorem and the fact that the diagonals bisect each other to set up two equations:

x² + (LV/2)² = DV²/4

y² + (OE/2)² = LE²/4

Simplifying each equation and substituting the given values, we get:

x² + (LV/2)² = 81/4

y² + (OE/2)² = 225/4

We also know that the diagonals bisect each other, so we can set up another equation:

LV/2 + OE/2 = LO = VE

Substituting the given value for LE, we get:

LV/2 + OE/2 = 15

Solving this equation for one of the variables, we get:

LV = 30 - OE

Substituting this expression into the first equation above, we get:

x² + ((30 - OE)/2)² = 81/4

Simplifying and rearranging, we get:

OE² - 60OE + 675 = 0

Using the quadratic formula, we get:

OE = (60 ± √(3600 - 2700)) / 2

OE = 15 or 45

If OE = 15, then LV = 30 - 15 = 15, and we can solve for x and y:

x² + 7.5² = 81/4

y² + 7.5² = 225/4

Solving these equations, we get:

x = 3√7

y = 9/√7

If OE = 45, then LV = 30 - 45 = -15, which is impossible for a length. Therefore, the solution is:

LV = OE = 15

x = 3√7

y = 9/√7

Learn more about Pythagorean theorem here: brainly.com/question/14930619

#SPJ4

Complete question:

LOVE is a kite. LV and OE are diagonals. The segments DV = 9cm and LE = 15cm are given. Find the lengths of the other segments of the diagonals, DV, OE, and LV.

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

To learn more about number line from the given link

https://brainly.com/question/25230781

#SPJ1

On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.

Answer:

the numbers are -8 and +4

Answer:

The temperature for Sunday was -2.3F

Step-by-step explanation:

When we have a set of N values:

{x₁, x₂, ..., xₙ}

The mean is given by:

\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)

In this case, we have the set:

{-5.3F, 3.6F, 6.7F, 0F, 10F, -4.3F, X}

Where X is Sunday's temperature.

So we have a set of 7 values, and we know that the mean of this set is 1.2F

Then we have the equation:

\(1.2F = \frac{-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X}{7}\)

If we multiply both sides by 7, we get:

\(1.2F*7 = 8.4F =-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X\)

Now we can just solve this for X

8.4F + 5.3F - 3.6F - 6.7F - 10F + 4.3F = X

-2.3F = X

The temperature for Sunday was -2.3F

Here are the journal entries for each scenario: (1) Usage of direct materials, including related variance (compound entry): Debit: Work-in-Process Inventory (standard cost).

   Debit: Material Price Variance (difference), Credit: Raw Materials Inventory (actual cost), (2). Incurrance and   assignment of direct labor costs, including related variances (compound entry): Debit: Work-in-Process Inventory (standard cost), Debit: Labor Rate Variance (difference)
  Credit: Salaries and Wages Payable (actual cost)

3. Actual manufacturing overhead costs incurred: Debit: Manufacturing Overhead
  Credit: Various Overhead Accounts (utilities, depreciation, etc.)

4. Overhead allocated to Work-in-Process Inventory:
  Debit: Work-in-Process Inventory
  Credit: Manufacturing Overhead

5. Movement of all production from Work-in-Process Inventory:
  Debit: Finished Goods Inventory (standard cost)
  Credit: Work-in-Process Inventory (standard cost)

6. Transfer the cost of sales at standard cost:
  Debit: Cost of Goods Sold (standard cost)
  Credit: Finished Goods Inventory (standard cost)

7. Adjusting the Manufacturing Overhead account (compound entry):
  Debit: Manufacturing Overhead (over- or under-applied amount)
  Debit/Credit: Cost of Goods Sold or Work-in-Process Inventory (depending on the disposition decision), Please note that these are generic entries and the exact amounts should be filled in based on your specific data.

To know more about cost click here

brainly.com/question/19075809

#SPJ11

Danika walks 50 blocks in one week.

Multiplication is a mathematical operation that embodies the fundamental concept of repeated addition of the same integer. The multiplied numbers are known as the factors, and the outcome of the multiplication of two or more numbers is known as the product of those numbers. Multiplication is used to make repetitive adding of the same number easier. It is used for combining groups of identical size.

As per the data given,

We have,

Danika lives at 5 blocks from her school.

As Danika walks 5 blocks to and from school, making her round trip

So, total distance covered by Danika will be: 5 blocks + 5 blocks = 10 blocks.

As Danika walks to and from school 5 days a week,

Hence, she walks 10 blocks * 5 days = 50 blocks in one week.

For more questions on Multiplication

https://brainly.com/question/10873737

#SPJ4

1) Given that MN is the midsegment, it means that

MN = 1/2(WZ + XY)

MN = 1/2(11 + 3) = 1/2 * 14

MN = 7

2) The base angles are congruent. This means that

angle WZN = angle XWZ = 78

The top angles are equal. The sum of the base angles is 78 + 78 = 156

Since the sum of all the angles is 360, the sum of each top angle is

(360 - 156)/2 = 102 degrees. This means that

angle WXY and angle ZYX = 102

Angle XMN and angle XWN are congruent. This is because they are corresponding angles. thus,

angle XMN = 78 degrees

3) Recall, MN = 1/2(WZ + XY)

If MN = 10 and WZ = 14, then

10 = 1/2(14 + XY)

10 * 2 = 14 + XY

20 = 14 + XY

XY = 20 - 14

XY = 6

4) Recall that angle MWZ = angle WZN because they are the base angles. Given that angle MWZ = 15x - 5 and angle WZN = 90 - 4x, it means that

15x - 5 = 90 - 4x

15x + 4x = 90 + 5

19x = 95

x = 95/19

x = 5

Answer:

4900

Step-by-step explanation:

so what you're going to do first is you're going to do 114* 43 which equals 4902 then you round that and you're going to have 4900I am not a hundred percent sure

Answer:

18 kilograms of drink A and 6 kilograms of drink B

Step-by-step explanation:

Let x equal the amount of Drink A

.04x + .08(24-x) = .05(24)  Multiply through by 100 to clear the decimal

4x + 8(24-x) = 5(24)

4x + 192 - 8x = 120  Combine like terms

-4x + 192 = 120  Subtract 192 from both sides

-4x = -72  Divide both sides by -4

x = 18 This is the number of kilograms for drink A.

24-18= 6.  This is the amount for Drink B

The average velocity of the particle over the interval from t=1.0 s to t=3.0 s is -20.0 m/s.

To find the average velocity, we need to calculate the displacement of the particle during the given time interval and divide it by the duration of the interval. The displacement can be determined by subtracting the initial position from the final position.

At t=1.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(1.0 s)^2 + 5.0 m = -15.0 m.

At t=3.0 s, the position of the object is given by x = (10.0 m/s) + (-30.0 m/s^2)(3.0 s)^2 + 5.0 m = -245.0 m.

The displacement during the interval is -245.0 m - (-15.0 m) = -230.0 m.

The duration of the interval is 3.0 s - 1.0 s = 2.0 s

Therefore, the average velocity is given by the displacement divided by the duration: (-230.0 m) / (2.0 s) = -115.0 m/s.

Hence, the average velocity of the particle over the interval t=1.0 s to t=3.0 s is -115.0 meters/second.

Learn more about meters here:

https://brainly.com/question/29438351

#SPJ11

The conclusion in the argument is "the good, according to Plato, is that which furthers a person's real interests." which it is the correct answer.

In a well-structured argument, the conclusion is what the argument aims to prove.

The conclusion can be located at the beginning or end of the argument, and it should always be precise, clear, and understandable.

The conclusion in the argument above is that "the good, according to Plato, is that which furthers a person's real interests."

The argument tries to explain that the good in Plato's philosophical teachings is a thing that advances a person's genuine interests.

The statement "it follows that" is the premise that links the argument with the conclusion.

The premise and the conclusion have a relationship of cause and effect, and this implies that the argument's conclusion is "the good, according to Plato, is that which furthers a person's real interests."

Therefore, the right option is: the good, according to Plato, is that which furthers a person's real interests.

Learn more about premise here

https://brainly.com/question/28918493

#SPJ11

The appropriate measure of variability for the given data is the IQR, and its value is 16.

Based on the given stem-and-leaf plot, which represents the scores earned in a flower-growing competition, we can determine the appropriate measure of variability for the data.

The stem-and-leaf plot shows the individual scores, and to measure the spread or variability of the data, we have two commonly used measures: the range and the interquartile range (IQR).

The range is calculated by subtracting the smallest value from the largest value in the dataset. In this case, the smallest value is 20, and the largest value is 65. Therefore, the range is 65 - 20 = 45.

The interquartile range (IQR) is a measure of the spread of the middle 50% of the data. It is calculated by subtracting the first quartile (Q1) from the third quartile (Q3). Looking at the stem-and-leaf plot, we can identify the quartiles. The first quartile (Q1) is 25, and the third quartile (Q3) is 41. Therefore, the IQR is 41 - 25 = 16.

In this case, both the range and the IQR are measures of variability, but the IQR is generally preferred when there are potential outliers in the data. It focuses on the central portion of the dataset and is less affected by extreme values. Therefore, the appropriate measure of variability for the given data is the IQR, and its value is 16.

For more questions on variability

https://brainly.com/question/14544205

#SPJ8

1. Consider a series that changes deterministically: AYt = a. Given initial value of Yo, write the general solution of the difference equation. A difference equation of the form Ay(t) = a has a general solution of y(t) = A + at, where A is a constant of integration. Therefore, the general solution for the difference equation in question is y(t) = Yo + at.

2. In a trend stationary process, the trend is deterministic. Therefore, it is stationary after removing the trend. In a stochastic trend, the trend is stochastic, and the process is non-stationary even after the trend is removed. Since the process above has a deterministic trend, it is a trend stationary process.

3. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

4. Consider now a series with the following motion: AY₁ = a + et. Given the initial value of Yo, write the general solution of the difference equation. The difference equation Ay(t) = a + et has a general solution of y(t) = (a/e) + A + Bt + ut, where u(t) is a stationary noise term with zero mean and constant variance. Therefore, the general solution to the difference equation in question is y(t) = a/e + Yo + Bt + ut.

5. Explain whether the process above is trend stationary or stochastic trend. Since the process above has a stochastic trend, it is a non-stationary process.

6. The first difference of the series should be taken to remove the trend from the series. The first difference is calculated as y(t) - y(t-1).

7. The hypothesis for a unit root test is that a series has a unit root, meaning it is non-stationary. The Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and testing whether the coefficient on the lagged level is significantly different from zero

8. The Augmented Dickey-Fuller test can be used to test for unit roots by regressing the first difference of the series on the lagged level of the series and the lagged first difference of the series and testing whether the coefficient on the lagged level is significantly different from zero.

To know more about the Dickey-Fuller test, visit:

brainly.com/question/30699863

#SPJ11

Answer:

22: 12ft, 28ft 23: 30ft, 26ft 24: it is 36ft, 20ft it is 24ft farther and 8ft closer

Step-by-step explanation:

.

Answer: 12

Step-by-step explanation:

Answer:

20 kilograms

Step-by-step explanation:

Answer:

About 19.95 kilograms

Step-by-step explanation:

Hope this helped! :)