Equivalent fraction questions

The size of the angle y as required to be determined in the task content is; 60°.

As evident in the task content, the base of the triangle is; 9.1 cm.

Recall the area of a right triangle is; A = bh / 2

Therefore, to determine the height h given an area of 23.66 cm²; we have that;

23.66 = 9.1h / 2

h = (2 × 23.66) / 9.1

h = 5.2 cm.

Ultimately, to determine the size of y from trigonometric ratios;

tan y = 9.1 / 5.2

y = tan-¹ (9.1/5.2)

y = 60° to the nearest integer.

Ultimately, the size of the angle y as required in the task content is; 60°.

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The 95% confidence interval for y, using the regression model y = 10 + 20*x and x = 10, would be [410.16, 469.84].

How closely related the independent variables are to the dependent variable (y) is indicated by the coefficients for the independent variables (x) in multiple regression.

We can employ statistical tests and confidence intervals based on that distribution because regression models assume the error term is normally distributed.

Given a regression equation, we may calculate the 95% confidence interval for y for a specific value of x by entering the values for x, calculating the standard error of the estimate, and selecting a critical value from the t-distribution. The 95% confidence interval for y, using the regression model y = 10 + 20*x and x = 10, would be [410.16, 469.84].

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Answer:  B    P= \(\frac{33}{2}\) + \(\frac{11}{2}\sqrt{3}\)

Step-by-step explanation:

Given:

h=11

30-60-90 triangle

Find:

Perimeter - all the sides added up

Rules:

In a 30-60-90 triangle, the ratio for a the sides are as follows:

Short leg, across from 30 = x

long leg across from 60 = x√3

hypotenuse, acrosss from 90 = 2x

If h=11, from the rules above

h=2x                  >substitute h=11

11 = 2x               >divide both sides by 2

x =  11/2

short leg = x           >from rules

short leg = x/2

long leg = x√3          >from rules

long leg =  \(\frac{11}{2}\sqrt{3}\)

Perimeter = h  +short leg +  long leg

Perimeter = 11 + \(\frac{11}{2}\) + \(\frac{11}{2}\sqrt{3}\)

Perimeter = \(\frac{33}{2}\) + \(\frac{11}{2}\sqrt{3}\)

B

Answer:

\(\textsf{B.} \quad \dfrac{33}{2}+\dfrac{11}{2}\sqrt{3}\)

Step-by-step explanation:

A 30-60-90 triangle is a special right triangle where the measures of its angles are 30°, 60°, and 90°.

In a 30-60-90 triangle, the lengths of its sides are in the ratio 1 : √3 : 2.

Therefore, the formula for the ratio of the sides is x : x√3 : 2x where:

If the hypotenuse of the triangle is 11 units, then 2x = 11.

Solving for x:

\(\implies \dfrac{2x}{2} = \dfrac{11}{2}\)

\(\implies x=\dfrac{11}{2}\)

As the side opposite the 30° angle is equal to x, then the length of this side is 11/2 units.

This means that the side opposite the 60° angle is:

\(\implies x\sqrt{3}=\dfrac{11}{2}\sqrt{3}\)

The perimeter of a two-dimensional shape is the sum of the lengths of all the sides of the shape. Therefore, the perimeter of the 30-60-90 triangle is:

\(\begin{aligned}\textsf{Perimeter}&=11+\dfrac{11}{2}+\dfrac{11}{2}\sqrt{3}\\\\&=\dfrac{22}{2}+\dfrac{11}{2}+\dfrac{11}{2}\sqrt{3}\\\\&=\dfrac{22+11}{2}+\dfrac{11}{2}\sqrt{3}\\\\&=\dfrac{33}{2}+\dfrac{11}{2}\sqrt{3}\end{aligned}\)

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2183 is next integer of the large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 90% confidence level with an error of at most 0.03.

The state education commission is looking to estimate the fraction of tenth-grade students that have reading skills at or below the eighth-grade level. The population proportion has been previously estimated to be 0.21.

The commission wishes to know the size of the sample required to estimate the fraction of tenth graders reading at or below the eighth-grade level at a 90% confidence level with an error of no more than 0.03.

To determine the sample size required for this task, we need to use the formula below.

\(n=Z_2pq/d_2\)

where p is the population proportion, q is 1-p, and d is the error range.

Z is the standard normal variable for the specified confidence interval.

For 90% confidence level, the Z value is 1.645.

Using the values provided, we can calculate the sample size required.

n=(1.645)2(0.21)(0.79)/(0.03)2

n=2182.6

The sample size required is approximately 2183.

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Answer:

33x²-11xy

Step-by-step explanation:

11x × (3x-y)=

33x²-11xy

x × x is x²

x × y is xy

Answer:

33x²-11xy

Step-by-step explanation:

11x × (3x - y)= 33x²-11xy

The integers of a coordinate grid are used to find points. Each point on a graph may be specified by an ordered pair of numbers called an x-coordinate and a y-coordinate, respectively.

An ordered list's pairings are indicated by parentheses (x, y) (x,y). beginning place is at (0,0). Remember that when writing coordinates, there is usually no space after the comma. The co-ordinates in graphs are the cartesian coordinate points which enables us to exactly trace the specific point on a graph. There are 4 quadrants in a graph namely first second 3rd and 4th. When we have data about X&Y coordinate of each point those points can be traced on the graph on their respective axis. For example, x,y is equal to 2, 5 lies on the first quadrant since both the values are positive.

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The complete question is as follows.

What are coordinates in the graph? give an example?

In order to determine if a function is linear or exponential, you can observe the relationship between the function's input and output values.

For a linear function, the output values increase or decrease at a constant rate as the input values change. In other words, the function has a constant slope when graphed. You can check linearity by calculating the differences between consecutive output values and verifying if they remain the same. If the differences are constant, the function is linear.

On the other hand, an exponential function shows a constant ratio between the output values and the input values. This means that as the input values increase or decrease by a constant factor, the output values also increase or decrease by the same factor. You can check for exponential behavior by calculating the ratio between consecutive output values. If the ratios are constant, the function is exponential.

It is important to graph the function and analyze its behavior over a range of input values to confirm whether it is linear or exponential.

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Answer:

60 inches

Step-by-step explanation:

In diagram A, the perimeter (outer edge) is made of 16 sides of the boxes.

48/16=3, so each side is 3 inches.

In diagram B, the perimeter is made of 20 sides.

20x3=60

To test a trading rule for statistically and economically significant alpha, follow these steps: gather data, formulate a hypothesis, measure performance, conduct statistical tests, assess economic significance, and perform robustness testing.


To determine if a trading rule generates a statistically and economically significant alpha, several steps can be followed. Alpha refers to the excess return generated by a trading strategy beyond what would be expected from market movements. Here's a summary of the testing process:

To test a trading rule's alpha, you can follow these steps:

1. Data Preparation: Gather historical price data for the assets being traded and any relevant market indices. Ensure the data is clean, consistent, and properly adjusted for dividends and corporate actions.

2. Hypothesis Formulation: Clearly define the trading rule being tested, specifying the entry and exit criteria. Formulate a null hypothesis assuming no alpha exists and an alternative hypothesis suggesting the presence of statistically and economically significant alpha.

3. Performance Measurement: Apply the trading rule to the historical price data and calculate the strategy's performance metrics, including returns, volatility, and risk-adjusted measures like the Sharpe ratio or information ratio.

4. Statistical Significance: Conduct hypothesis testing using appropriate statistical methods such as t-tests or regression analysis to determine if the strategy's excess returns are statistically significant. This helps assess whether the alpha is due to skill or randomness.

5. Economic Significance: Evaluate the economic significance of the alpha by considering transaction costs, liquidity constraints, and realistic trading scenarios. Adjust the returns for these factors to assess if the strategy generates meaningful profits after accounting for expenses.

6. Robustness Testing: Perform sensitivity analysis by varying key parameters of the trading rule and assessing the stability and consistency of the alpha. This helps determine if the strategy's performance is robust across different market conditions and time periods.

By following these steps, you can systematically evaluate a trading rule's alpha generation potential. Remember, it's important to consider statistical significance, economic significance, and robustness to draw meaningful conclusions about a trading strategy's effectiveness.

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Answer:

Please check explanations for answers

Step-by-step explanation:

a) The variable replacing y is g

The units are gallons

b) The variable replacing x is t

The units are minutes

c) We compare this with the general form of a straight line equation

g = 4t + 8

compared with y = mx + b

so we can see that b is 8 here

Putting the units , the intercept is 8 gallons

This means that at zero minute, or initially , the amount of gas in the truck’s tank is 8 gallons

In other words, the amount of gas in the tank of the truck before it started refueling in the gas station is 8 gallons

d) The slope is 4 gallons/minute

What the slope represents is the filling rate

It is simply the amount of gallons entering the gas tank per minute as the gas tank is refueling

Answer:

-------------------------------

John types at a rate of 16 words per minute.

With the stable rate, in 4 minutes he types:

the conditional probability that Jim's vacation was in Alaska given that we know he went surfing during the vacation is 0.1, or 10%.

Let A be the event that Jim's vacation was in Alaska, and let S be the event that Jim went surfing during the vacation. We want to find P(A|S), the conditional probability that Jim's vacation was in Alaska given that we know he went surfing during the vacation.

By Bayes' theorem, we have:

P(A|S) = P(S|A) * P(A) / P(S)

We can calculate each term as follows:

P(S|A) = 0.1: the probability that Jim went surfing during the vacation given that he was in Alaska.

P(A) = 0.5: the probability that Jim's vacation was in Alaska, since he tosses a fair coin to decide between Hawaii and Alaska.

P(S) = P(S|A) * P(A) + P(S|H) * P(H) = 0.1 * 0.5 + 0.9 * 0.5 = 0.5: the total probability of Jim going surfing during the vacation, since he either went surfing in Alaska with probability 0.1 or went surfing in Hawaii with probability 0.9.

Therefore, we have:

P(A|S) = P(S|A) * P(A) / P(S) = 0.1 * 0.5 / 0.5 = 0.1

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Answer:

C) 2.76

-------------------

Given:

We know that inscribed angle is half the arc measure. Set up equation and solve for x:

The number of small boxes sent is 6 and the number of large boxes sent is 3.

Given:

Each small box can hold 20 books and each large box can hold 35 books. There were twice as many small boxes sent as large boxes, which altogether can hold 225 books.

Let x be the number of small boxes and y be the number of large boxes.

20x + 35y = 225

x = 2y

20(2y) + 35y = 225

40y + 35y = 225

75y = 225

divide by 75 on both sides

75y/75 = 225/75

y = 225/75

y = 3 large boxes.

x = 2y

= 2*3

x= 6 small boxes.

Therefore the number of small boxes sent is 6 and the number of large boxes sent is 3.

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The correct answers are: Grams of iron in a meal, Minutes spent on this test, Snacks eaten in a week

Parametric statistics could be used to analyze the following dependent variables:

Grams of iron in a meal: Parametric statistics can be used to analyze continuous numerical variables, such as the amount of iron in a meal, by assuming a specific distribution (e.g., normal distribution) and using techniques like t-tests, ANOVA, or regression.

Minutes spent on this test: Similarly, parametric statistics can be applied to analyze continuous numerical variables like the time spent on a test. Techniques such as t-tests or regression can be used to compare groups or explore relationships between variables.

Snacks eaten in a week: Parametric statistics can also be used for analyzing count data, such as the number of snacks eaten in a week. Techniques like Poisson regression or negative binomial regression can be used to model and analyze count data.

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Answer:

kd00000000

Step-by-step explanation:

0,9,8hahahhahhhhahahah ban buster

The probability that Radesh is late on less than 3 days in a 6 day week is 0.7865.

To calculate the probability that Radesh is late on less than 3 days in a 6 day week,

Use the binomial distribution formula

P(X<3) = Σ (i=0 to 2) \(^{6} C_i\) \(0.35^i 0.65^{(6-i)\)

Here,

\(^{6} C_i\) is the number of ways to choose i days out of 6,

\(0.35^i\) is the probability that Radesh is late on i days,

And \(0.65^{(6-i)\) is the probability that he is on time on the remaining (6-i) days.

Now, Solve this equation:

⇒ P(X<3) = \(^{6} C_0\) 0.35 x 0.65 + \(^{6} C_1\) 0.35 x 0.65 + \(^{6} C_2\) 0.35 x 0.65

⇒ P(X<3) = 0.7865

Hence,

The required probability is 0.7865.

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Answer:

7x+29

Step-by-step explanation:

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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Answer: I think you somehow managed to try to make an answer and then accidentally clicked "add a question" and then just so happened to not realize, so you made your answer as a question...

Step-by-step explanation:

Kidding, but I'm not sure what this is supposed to be answering... There is not much context given lol.

Answer:

Project A : $58,000

Project B: $52800

Project A should be selected as it has a higher expected profit value than project B

Step-by-step explanation:

Given the following:

PROJECT A:

Profit : ---------50000--90,000--10,000

Probability: ----0.6-------0.3--------0.1

PROJECT B:

Loss of 20,000 = -20,000 in profit terms

Profit : -----100,000--64,000--(-20,000)

Probability: ----0.1-------0.7--------0.2

Expected profit:

Profit value * probability of profit

Expected profit on project A:

[(50000*0.6)+(90000*0.3)+(10000*0.1)

30000 + 27000 + 1000 = $58000

Expected profit on project B:

[(100000*0.1)+(64000*0.7)+(-20000*0.2)

10000 + 44800 - 4000 = $50800

Project A should be selected as it has a higher expected profit value than project B

Answer:

C) ( -2, 6)

Step-by-step explanation:

y = -3x

y = 5x + 16

-3x = 5x + 16

-8x = 16

x = -2

y= -3(-2)

y = 6

(x,y) ---> ( -2, 6)

As per given by the question,

There are given that a length of three sides of the triangle.

The length of sides are, 14cm, 22cm, and 30cm.

Now,

For finding the measure of the smallest angle,

The smallest angle in a triangle is always opposite the shortest side. and also the bigest angle is always opposite the longest side.

So,

Suppose length A is 14cm, B is 22 cm and C is 30cm.

Then,

From the law of cosines,

Let A be the smallest angle.

So,

Now,

Find the value of angle A,

Now,

Then,

Hence, the measure of the smallest angle is 25.84 degree.

Answer:

x = 9

Step-by-step explanation:

(7x + 8) + (5x +2) + (7x - 1) = 180

19x + 9 = 180

19x = 171

x = 9

so first option

Answer:

X = 9

Step-by-step explanation:

Add like-terms and make it equal to the triangle sum theorem which is 180.

7x+8+7x-1+5x+2=180

19x+9=180

     -9     -9

Subtract 9 from 9 and 180, then divide both sides by 19.

19x/19 = x

171/19 = 9

So therefore, x=9.

Answer:

4/9

Step-by-step explanation:

5-1/5+4 is the right answer so yes

Answer: 1 angle is 144° and the other angle is 36°

Step-by-step explanation:

To find the smaller angle you would do:

1. x+4x=180

2. 5x=180

3. x=36

Then for the larger angle it would be 36×4=144

For a taxable income of $1,80,900, the effective tax rate is 21.11%.

Marginal tax is the tax rate applied to an individual’s last dollar of income. It is the additional tax that must be paid on any additional income earned. In other words, it is the tax rate that applies to an individual’s income after all deductions. For example, if an individual’s income is $50,000 and the marginal tax rate is 25%, then the individual must pay an additional $12,500 in taxes on top of the $25,000 in taxes already paid on their $50,000 income.

Marginal tax rates are progressive, meaning that as an individual’s income increases, the marginal tax rate will increase as well. The marginal tax rate is important to understand because it helps individuals determine how much additional income they will need to earn in order to make up for the taxes they will have to pay on that income. It is also important to understand how marginal tax rates can affect tax planning strategies.

To determine the effective tax rate for a taxable income of $180,900, calculate the sum of the marginal tax rates for each tax bracket that the $180,900 falls into. The taxable income of $180,900 is greater than $89,075 and less than $170,050. The marginal tax rates for these two tax brackets are 22% and 24%, respectively. The sum of the marginal tax rates is 46%. Divide the sum by the taxable income of $180,900 to get the effective tax rate of 21.11%. Round the final answer to the nearest hundredth to get 21.11%.

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The probability that Jake will earn at least 30 points on a throw is 0.335

The attached image represents the missing part of the question.

From the attached image, we can see that:

For Jake to earn at least point, he must hit the three circles (starting from the inner circle)

The radius of the yellow circle is:

Radius = 3

While the width of the other circles is:

Width = 4

The total area of the sections that give a point of at least 30 is:

A₁ = π * (3 + 4 + 4)² = 121π

The total area of all the sections is:

A₂ = π * (3 + 4 + 4 + 4 + 4)² = 361π

The probability of getting at least 30 points is:

P(At least 30) = 121π/361π

Evaluate

P(At least 30) = 0.335

Hence, the probability that Jake will earn at least 30 points on a throw is 0.335

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A box-and-whisker plot is the appropriate data display for Jace's electric-vehicle data and gas-powered vehicle data, and it will give him a visual representation of the difference between the two datasets.

The appropriate data displays for Jace's electric-vehicle data and gas-powered vehicle data would be a box-and-whisker plot. This type of plot is a graphical representation of the five-number summary of a dataset. The five-number summary consists of the minimum, first quartile (Q1), median, third quartile (Q3), and maximum values. It can be calculated using the following formulas:

Minimum = smallest value

Q1 = 25th percentile (the value below which 25% of the data lies)

Median = 50th percentile (the value below which 50% of the data lies)

Q3 = 75th percentile (the value below which 75% of the data lies)

Maximum = largest value

Using these formulas, Jace can calculate the five-number summary for his electric-vehicle data and his gas-powered vehicle data. He can then use these values to create a box-and-whisker plot that compares the range and shape of each dataset. The box-and-whisker plot will give him a clear visual representation of the difference between the two datasets. By comparing the range and shape of the two datasets, Jace can get a better understanding of the difference between the electric-vehicle data and the gas-powered vehicle data. From there, he can draw conclusions about the differences between the two vehicle types.

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The expression -5c+2-8 is simplified to -(5c + 6)

These are expressions that are composed or made up of terms, variables, coefficients, factors and constants.

They are also made up of arithmetic operations, such as;

From the information given, we have that;

-5x + 2 - 8

In other to solve, collect like terms

-5x - 6

remove the negatives

-(5c + 6)

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Answer:

The answer would be to shade 2 parts as 10 percent of 20 is 2.Hope this helps!

Step-by-step explanation: