Please help! Correct answer only!


In a raffle, one ticket out of 1,000 will win a $870 prize, one ticket will win a $820 prize, and one ticket will win a $740 prize. The rest will win nothing. If you have a ticket, what is the expected payoff?

Please Help! Correct Answer Only!In A Raffle, One Ticket Out Of 1,000 Will Win A $870 Prize, One Ticket

Answers

Answer 1

Answer:

" Expected Payoff " ⇒ $ 1.56 ; Type in 1.56

Step-by-step explanation:

Consider the steps below;

\(Tickets That Can Be Entered - 1 Ticket,\\Total Tickets Entered - 1000 Tickets,\\\\Proportion - 1 / 1000,\\Money One ( First Ticket ) = 820 Dollars,\\Money One ( Second Ticket ) = 740 Dollars,\\\\Proportionality ( First ) - 1 / 1000 = x / 820,\\Proportionality ( Second ) - 1 / 1000 = x / 740\\\\1 / 1000 = x / 820,\\1000 * x = 820,\\x = 820 / 1000,\\x = 0.82,\\\\1 / 1000 = x / 740,\\1000 * x = 740,\\x = 740 / 1000,\\x = 0.74\\\\Conclusion ; " Expected Payoff " = 0.82 + 0.74 = 1.56\)

Solution; " Expected Payoff " ⇒ $ 1.56


Related Questions

Find the truth value of the statement or operator indicated by
the question mark. ~C v D F ? ? =

Answers

The truth value of the statement or operator indicated by the question mark is FALSE.

~C v D F ? ? =

To find: The truth value of the statement or operator indicated by the question mark.

We know that, ~C v D is a valid statement because the truth value of the disjunction (~C v D) is true when either ~C is true or D is true or both are true.

Hence, we can use this to find the truth value of the statement or operator indicated by the question mark. The truth table for the given expression is as follows:

Let's fill the given table.

As we can see in the table that there is no combination of F and ? that can make the whole statement true. Hence, the truth value of the statement or operator indicated by the question mark is FALSE.

The truth value of the statement or operator indicated by the question mark is FALSE.

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Kadita counted 30 pigs and chickens on the farm. Jack counted a total of 68 legs for the animals. How many chickens were there on the farm?.

Answers

6 chickens and 14 pigs in the farm.

Let the number of chickens in the farm = x

Let the number of pigs in the farm = y

Number of legs of chickens = 2*x (since chickens have 2 legs)

Number of legs of pigs = 4*y (since pigs have 4 legs)

We are given that there are a total of 30 animals (pigs + chickens)

so, number of chickens + number of pigs = 30

x + y = 30

We are given that there is a total of 68 legs in the farm

so, legs of chickens + legs of pigs = 68

2x + 4y = 68

Solving for number of chickens and pigs:

from the question, we have deduced that:

x + y = 30

2x + 4y = 68

taking the value of x from the first equation and using it in the second equation:

x = 30 - y

2(30-y) + 4y = 68

60- 2y + 4y = 68

40 + 2y = 68

2y = 68-40

2y = 28

y = 14

Using this value of y in the first equation:

x + y  = 30

x + (14) = 20

x = 20-14

x = 6

Therefore, there are 6 chickens and 14 pigs in the farm

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Consider the t distribution with 5 degrees of freedom. (a) What proportion of the area under the curve lies to the right of t = 2.015?

Answers

The proportion of the area under the curve that lies to the right of t = 2.015 in a t-distribution with 5 degrees of freedom can be calculated using the t-distribution function in a statistical software package such as R.

The answer is approximately 0.9522. This means that 95.22% of the area under the curve lies to the right of t = 2.015. This indicates that the probability of observing a value of t greater than 2.015 is quite high.

This is because the t-distribution with 5 degrees of freedom has a larger spread than the normal distribution, which means that the probability of observing values further from the mean is greater.

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express the confidence interval .222 < p < .888 in the form p - e

Answers

The confidence interval .222 < p < .888 can be expressed as p - e, where p = 0.555 and e = 0.333.

In a confidence interval, the point estimate represents the best estimate of the true population parameter, and the margin of error represents the range of uncertainty around the point estimate.

To express the given confidence interval in the form p - e, we need to find the point estimate and the margin of error.

The point estimate is the midpoint of the interval, which is the average of the upper and lower bounds. In this case, the point estimate is (0.222 + 0.888) / 2 = 0.555.

To find the margin of error, we need to consider the distance between the point estimate and each bound of the interval.

Since the interval is symmetrical, the margin of error is half of the range.

Therefore, the margin of error is (0.888 - 0.222) / 2 = 0.333.

Now we can express the confidence interval .222 < p < .888 as the point estimate minus the margin of error, which is 0.555 - 0.333 = 0.222.

Therefore, the confidence interval .222 < p < .888 can be expressed as p - e, where p = 0.555 and e = 0.333.

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will give brainliest to quickest answer

will give brainliest to quickest answer

Answers

Answer:

The vertex is option C: (-6, -2)

Step-by-step explanation:

The equation for a parabola is y = a(x – h)² + k where h and k are the y and x coordinates of the vertex, respectively. Thus, the vertex is (-6,2)

Pls mark brainliest.

Okay, I and my mom do not know how to do this- please help-
Distribution Skill
3 (-5y²- 3)

Help p-p

Answers

3(-5y^2-3)
=-15y^2-9

Answer:

Step-by-step explanation:

this is the start of your mad algebra skilz.. it does take constant practice, like anything you want to get better at :)  keep trying

this is called  "Distribution" and is used often

3(-5\(y^{2}\) -3)

-15\(y^{2}\) +9

if you need more explanation just put your questions at the comments of this problem ... i'll see them   :)

In the figure below, a ∥

b, ∠

1 = 9x - 4 and ∠

2 = 13x - 32. What is ∠

3

Answers

Applying the corresponding angles theorem, the measure of angle 3 is: C. 121°.

How to Apply the Corresponding Angles Theorem?

Using the figure below that shows that line a is parallel to line b, where angle 1 and angle 2 are corresponding angles, based on the corresponding angles theorem, the measure of angle 1 is equal or congruent to angle 2.

Given the following:

Measure of angle 1 = 9x - 4

Measure of angle 2 = 13x - 32

m<1 = m<2 [corresponding angles theorem]

Substitute

9x - 4 = 13x - 32

Solve for the value of x

9x - 13x = 4 - 32

-4x = -28

x = 7

Measure of angle 3 = 180 - (13x - 32)

Plug in the value of x

Measure of angle 3 = 180 - (13(7) - 32)

m<3 = 121°

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In the figure below, a b, 1 = 9x - 4 and 2 = 13x - 32. What is 3

Mhanifa please help! Find the coordinates of the circumcenter of the triangle with the vertices A(4, 12), B(14, 6), and C(-6, 2).

Answers

Answer:

(4.5, 1.5)

Step-by-step explanation:

Given vertices of a triangle:

A(4, 12), B(14, 6), and C(-6, 2)

Let the circumcenter is point M(x, y)

We know that the circumcenter is equidistant from each of the vertices.

Use distance formula:

AM = √(x - 4)² + (y - 12)²BM = √(x - 14)² + (y - 6)²CM = √(x + 6)² + (y - 2)²

All three distances are equal:

AM = BM = CM ⇒ AM² = BM² = CM² ⇒(x - 4)² + (y - 12)² = (x - 14)² + (y - 6)² = (x + 6)² + (y - 2)²

Square of each:

AM² = x² - 8x + 16 + y² - 24y + 144 = x² + y² - 8x - 24y + 160BM² = x² - 28x + 196 + y² - 12y + 36 = x² + y² - 28x - 12y + 232CM² = x² + 12x + 36 + y² - 4y + 4 = x² + y² + 12x - 4y + 40

Comparing the squares, we get following system:

-8x- 24y + 160 = -28x - 12y + 232 ⇒ 20x - 12y = 72 ⇒ 5x - 3y = 18- 8x - 24y + 160 = 12x - 4y + 40 ⇒ 20x + 20y = 120 ⇒ x + y = 6

Solve by substitution, x = 6 - y:

5(6 - y) - 3y = 1830 - 8y = 188y = 12y = 1.5

Find x:

x = 6 - 1.5 = 4.5

So the circumcenter is M(4.5, 1.5)

Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.

Answers

The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

Hong Kong Budget:
Contents: The Hong Kong budget comprises revenue and expenditure. It provides a detailed analysis of expected sources of income and the allocation of funds.Format: The Hong Kong budget is presented in a clear and concise format, including charts and graphs to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability.Disadvantages: It does not provide detailed information on tax expenditures and lacks public participation in the budget process.

United States Budget:

Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.

Korean Budget:

Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.

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how many ounces is 250 ml?

Answers

250 ml is equivalent to 8.4535 ounces, making it a simple conversion to remember. Keep in mind that when converting between ounces and milliliters, it is important to use accurate conversion factors to ensure that your measurements are accurate.

Ounces and milliliters (ml) are both units of measurement for volume. Ounces are commonly used in the United States and some other countries, while milliliters are widely used in the metric system.

One important thing to remember is that 1 ounce equals 29.5735 milliliters.

To convert 250 ml to ounces, we divide 250 by 29.5735. Therefore, 250 ml is approximately equal to 8.4535 ounces. Understanding the conversion between ounces and milliliters is important, especially in the field of cooking, baking, and medicine.

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A certain substance has a half life of 1 hour. If you start with 3000 grams of the substance, how much will you have in 1 hour?

Answers

Answer:

1500 grams

Step-by-step explanation:

A= P(0.5)^t

A=3000(0.5)^1

A=1500

The answer is 1500 grams

Plsss help want is the second answer

Plsss help want is the second answer

Answers

Answer:

5 1/2 is your second answer :)

Answer:

\(A)5\frac{1}{2}\)

Step-by-step explanation:

To multiply a number and a mixed number, first convert the improper fraction to a mixed number. This can be done by multiplying the "number" part of the mixed number by the denominator (number underneath the fraction bar) and then adding the result to the numerator. After doing so, one can either multiply the improper fraction by the number, and then simplify the result, or one can cross simplify the number and the denominator, then multiply by the numerator.

\(4 * 1\frac{3}{8}\\\\4 * \frac{11}{8}\\\\=\frac{44}{8}\\\\= \frac{11}{2}\)

Now one must convert this improper fraction to a mixed number. One can do this by diving the numerator by the denominator, writing the result as the "number" part of the mixed number, and then writing the remainder as the numerator of the fraction.

\(5\frac{1}{2}\)

Can someone help plssss

Can someone help plssss

Answers

1. 11/14
2. 11/5
3. 27/20

Answer:

1.) 0.357142857

2.)  2.2

3.) 1.35

Step-by-step explanation:

robin is twice as old as earl and adam is 8 years younger than earl. in 6 years robin will be three times as old as adam. find their present ages

Answers

The present age of Earl is 12 years, Robin is 24 years and Adam is 4 years old.

Let us consider the present age of Earl to be x years.

According to the given question, the present age of Robin is twice that of Earl = 2x

And since it is given that Adam is 8 years younger than Earl, then his age

= x - 8

After 6 years, the age of Earl will be x + 6

Robin's age  will be = 2x + 6

Adam's age will be = x - 8 + 6 = x - 2

According to the given question, Robin's age will be thrice the age of Adam.

Hence, 2x + 6 = 3 (x - 2)

⇒ 2x + 6 = 3x - 6     ⇒ 6 + 6 = 3x - 2x     ⇒ 12 = x

Thus, the present age of Earl is 12 years,

Robin's age = 2x = 2 x 12 = 24 years

Adam's age = x - 8 = 12 - 8 = 4 years

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find the weighted average of a data set where 20 has a weight of 5, 40 has a weight of 2, and 50 has a weight of 3.

Answers

The weighted average of the given data set is 33.

To find the weighted average of a data set, we need to multiply each data value by its corresponding weight, sum up the products, and divide by the total weight.

Given the data set with weights:

Data: 20, 40, 50

Weights: 5, 2, 3

To calculate the weighted average, we follow these steps:

1. Multiply each data value by its weight:

  (20 * 5) + (40 * 2) + (50 * 3)

2. Sum up the products:

  100 + 80 + 150 = 330

3. Calculate the total weight:

  5 + 2 + 3 = 10

4. Divide the sum of the products by the total weight:

  330 / 10 = 33

Therefore, the weighted average of the given data set is 33.

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Which expression is equivalent to 10a + 6?
A. 10(a + 3)
B. 2(5a + 3)
C. 5(5a + 1)
D. 10(a + 1)

Answers

The answer is: 2(5a + 3)

hope this helps :)

Answer:

B. 2(5a + 3)

Step-by-step explanation:

Using the distributive property, we know that we can distribute to polynomial within parenthesis. So, following this, we can multiple 2*5a and 2*3. This gives us the expression, 10a+6. Showing that these two expressions are equivalent.

Additionally, the expression 2(5a+3) is an example of factoring. The GCF, 2, was factored out of the original expression 10a+6. Since 2(5a+3) is a factored form of 10a+6, they must be equivalent.

Tina is saving to buy a notebook computer. She has two options. The first option is to put $300 away
initially and save $30 every month. The second option is to put $200 away initially and save $50 every
month. After how many months would Tina save the same amount using either option? How much
would she save with either option?
Plzzz hellpppp

Answers

Answer:

After 5 months, she will save the same amount using either option.

She would have saved $450 with either option.

Step-by-step explanation:

Set up expressions to represent the amount of money saved for each saving option, where x is the number of months

The first one can be represented by 30x + 300

The second one can be represented by 50x + 200

Set these equal to each other and solve for x:

30x + 300 = 50x + 200

300 = 20x + 200

100 = 20x

5 = x

So, after 5 months, Tina will save the same amount of money with both options.

To find how much she will save, plug in 5 as x into either expression:

30x + 300

30(5) + 300

150 + 300

= 450

So, she would have saved $450 with either option.

Given GH with G(-8, 8) and H(7,2), if point P divides GH one- third of the way from G to H, find the coordinates of P.

Answers

Answer:

P (-3 , 6)

Step-by-step explanation:

p (x,y), G (x₁,y₁), H(x₂,y₂) : GP:PH = 1:2      a=1, b=2

x = (bx₁ + ax₂) / (a+b) = (2x-8 + 1x7) / (2+1) = -9/3 = -3

x = (by₁ + ay₂) / (a+b) = (2x8 + 1x2) / (2+1) = 18/3 = 6

P (-3 , 6)

The coordinates of P is (-3 , 6).

It is required to find the coordinates of P.

What is co-ordinate geometry?

Coordinate geometry is defined as the study of geometry using the coordinate points. Coordinate geometry is required to provide a link between algebra and geometry through the use of line and curve graphs

Given:

p (x,y), G (x₁,y₁), H(x₂,y₂) :

GP:PH = 1:2    

 a=1, b=2

x = (bx₁ + ax₂) / (a+b)

= (2x-8 + 1x7) / (2+1)

= -9/3

= -3

x = (by₁ + ay₂) / (a+b)

= (2x8 + 1x2) / (2+1)

= 18/3

= 6

∴P (-3 , 6)

Therefore, the coordinates of P is (-3 , 6).

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A pound of strawberries costs $3.28 and a pound of apples costs $4.63. What is the combined cost of 0.7 pound of strawberries and 1.4 pounds of apples? Round your answer to the nearest cent.

Answers

Answer:

$8.78

Step-by-step explanation:

cost = 3.28(0.7) + 1.4(4.63)

= 2.296 + 6.482

= 8.778

= $8.78

there are 6 students in the class. one of them is to be selected as the best student and another student is to be selected as a runner-up. how many different ways can this be done?

Answers

If there are 6 students and one is selected for best student and another is selected for runner up, then 15 different ways that we can arrange the students

Total number of students in the class = 6 students

Number of students for best student = 1 student

Number of students for runner up = 1 students

Total number of students needed = 2

Here we have to use the combination

6\(C_2\) = 6! / 2!(6 - 2)!

= 6! / 2! × 4!

Split the terms and cancel it

= 6 × 5 / 2 × 1

Multiply the terms

= 30 / 2

Divide the numbers

= 15 combinations

Therefore, there are 15 combinations

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i need a answer for this problem

i need a answer for this problem

Answers

Answer: its C

Step-by-step explanation:

what is the probability that a player wins $100 by matching exactly three of the first five and the sixth numbers or four of the first five numbers but not the sixth number?

Answers

The probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018. The probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003.

To calculate the probability of winning $100 by matching exactly three of the first five and the sixth numbers, we first need to determine the total number of possible combinations for the first five numbers. Since each of the five numbers can be any number between 1 and 69, there are 69 choose 5 (written as 69C5) possible combinations, which is equal to 11,238,513. Out of these 11,238,513 possible combinations, we need to choose three numbers that will match the drawn numbers and two numbers that will not match. The probability of matching three numbers is calculated as 5C3/69C5, which is equal to 0.0018. The probability of not matching the remaining two numbers is 64C2/64C2, which is equal to 1.

Therefore, the probability of winning $100 by matching exactly three of the first five and the sixth numbers is 0.0018 x 1, which is equal to 0.0018. To calculate the probability of winning $100 by matching four of the first five numbers but not the sixth number, we need to determine the total number of possible combinations for four of the first five numbers. Since each of the four numbers can be any number between 1 and 69, there are 69 choose 4 (written as 69C4) possible combinations, which is equal to 4,782,487.

Out of these 4,782,487 possible combinations, we need to choose four numbers that will match with the drawn numbers and one number that will not match. The probability of matching four numbers is calculated as 5C4/69C4, which is equal to 0.0003. The probability of not matching the remaining number is 64/64, which is equal to 1. Therefore, the probability of winning $100 by matching four of the first five numbers but not the sixth number is 0.0003 x 1, which is equal to 0.0003.

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.
Larry is starting his own lawn service company. He has initial startup costs totaling $300, plus ongoing operating expenses. The function representing Larry's expenses and the function representing Larry's income for lawn services are shown in the graph below.





Approximately how many lawns will Larry have to mow before he starts making a profit?
Anwer Choises:
Larry must mow approximately 300 lawns before he starts making a profit.
Larry must mow approximately 350 lawns before he starts making a profit.
Larry must mow approximately 25 lawns before he starts making a profit.
Larry will start making a profit when he mows his first lawn.

Answers

Answer:

Larry must mow approximately 25 lawns before he starts making a profit

Step-by-step explanation:

A stream of crude oil has a molecular weight of 4.5x10² kg/mol and a mean average boiling point of 370 °C. Estimate the followings: 1. The crude specific gravity at 60 °F? 2. The crude gravity (API°) at 60 °F? 3. Watson characterization factor? 4. Refractive index? 5. Surface tension? 6. Is this crude oil paraffinic, naphthenic or aromatic? Explain, briefly and qualitatively.

Answers

The crude oil is likely to be paraffinic. Paraffinic crude oils are characterized by having a high API°, low Watson characterization factor, and low refractive index. They also tend to have a high surface tension.

Specific gravity at 60 °F: 0.88

API° at 60 °F: 28

Watson characterization factor: 1.014

Refractive index: 1.44

Surface tension: 20 dyne/cm

Paraffinic, naphthenic, or aromatic: Paraffinic

Specific gravity at 60 °F the specific gravity of a liquid is its density relative to the density of water. The specific gravity of crude oil is typically between 0.8 and 1.0. A specific gravity of 0.88 means that the crude oil is 88% as dense as water.

API° at 60 °F: The API°, or American Petroleum Institute gravity, is a measure of the lightness or darkness of crude oil. A higher API° indicates a lighter crude oil. A crude oil with an API° of 28 is considered to be a medium-heavy crude oil.

Watson characterization factor the Watson characterization factor is a measure of the aromaticity of crude oil. A higher Watson characterization factor indicates a more aromatic crude oil. A crude oil with a Watson characterization factor of 1.014 is considered to be a paraffinic crude oil.

Refractive index the refractive index of a liquid is a measure of how much light is bent when it passes through the liquid. The refractive index of crude oil is typically between 1.4 and 1.5. A refractive index of 1.44 indicates that the crude oil is slightly more refractive than water.

Surface tension the surface tension of a liquid is a measure of the force that acts at the surface of the liquid, tending to minimize the surface area. The surface tension of crude oil is typically between 20 and 30 dyne/cm. A surface tension of 20 dyne/cm indicates that the crude oil has a relatively high surface tension.

Based on the estimated values, the crude oil is likely to be paraffinic. Paraffinic crude oils are characterized by having a high API°, low Watson characterization factor, and low refractive index. They also tend to have a high surface tension.

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find the absolute maximum and minimum values of the function over the indicated interval, and indicate the x-values at which they occur f(x)=x^2-4x-9; [0,5]

Answers

The absolute maximum and minimum values of the function over the indicated interval and indicate the x-values at which they occur f(x) = x² - 4x - 9; [0, 5],

we need to follow the steps given below:

Step 1: Differentiate the given function to find the critical points and intervals where the function increases and decreases.

f(x) = x² - 4x - 9f'(x)

= 2x - 4= 0

⇒ 2x = 4

⇒ x = 2

Thus, we get a critical point at x = 2.

Now, we will find the intervals where the function increases and decreases using the test point method:

f'(x) = 2x - 4> 0 for x > 2

∴ f(x) is increasing for x > 2.f'(x) = 2x - 4< 0 for x < 2

∴ f(x) is decreasing for x < 2.

Step 2: Check the function values at the critical points and the end points of the interval.

f(0) = (0)² - 4(0) - 9

= -9f(2) = (2)² - 4(2) - 9

= -13f(5) = (5)² - 4(5) - 9

= -19

Step 3: Now, we can identify the absolute maximum and minimum values of the function over the indicated interval

[0, 5].

Absolute maximum value of the function:

The absolute maximum value of the function over the interval [0, 5] is -9 and it occurs at x = 0.

Absolute minimum value of the function:

The absolute minimum value of the function over the interval [0, 5] is -19 and it occurs at x = 5.

Therefore, the absolute maximum and minimum values of the function over the indicated interval [0, 5] and the x-values at which they occur are as follows.

Absolute maximum value = -9 at x = 0

Absolute minimum value = -19 at x = 5

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Which is the correct relationship between the angles in the figure below?
//-
16 in
10 in
E
8 in
Om/DFE Om/FED Om/DFE> m/FDE
Om/FED W

Which is the correct relationship between the angles in the figure below?//-16 in10 inE8 inOm/DFEOm/FED

Answers

The correct relationship between the angles in the figure is DFE > FDE

Which is the correct relationship between the angles in the figure?

The side lengths of the triangle are:

16 inches, 10 inches and 8 inches

As a general rule, the side with the longest length would opposite the largest angle

Using the above highlight, we have:

FED > DFE > FDE

Rewrite as:

EDF < DFE < FED

From the list of options, we have DFE > FDE

Hence, the correct relationship between the angles in the figure is DFE > FDE

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0.5 of what number is 12 and what is the equation to represent this problem? Include a variable

Answers

.5 means half. 12 x 2 is 24. so, your equation would be x/2=12

what value of h is needed to complete the square for the equation

Answers

To complete the square for the equation \(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to choose h = -2.

To complete the square for the given equation

\(x^2 + 8x + 32 = (x - h)^2 + 16\),

we need to express the left-hand side of the equation in the form

\((x - p)^2 + q\), where p and q are constants.

We can start by expanding the right-hand side of the equation:

\((x - h)^2 + 16 = x^2 - 2hx + h^2 + 16\)

Now we can compare the coefficients of \(x^2\), x, and the constant term on both sides of the equation:

\(x^2 + 8x + 32 = (x - p)^2 + q\)

=> \(p^2 = 0\) (since the coefficient of \(x^2\) is 1 on both sides)

=> -2hp = 8 (since the coefficient of x is 8 on the left-hand side)

=> h = -2 (solving for h)

=> q = \(h^2 + 16\) = 20 (since the constant term on the right-hand side is 16)

For more questions on completing the square

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The complete question may be:

What value of h is needed to complete the square for the equation \(x^2+8 x+32=(x-h)^2+16\) ?

write the number three hundred thousand, seven hundred and ninety one in figures​

Answers

Answer:

300, 791

Step-by-step explanation:



Due to be heavy rain , Mother warned Dia not to go in
thegarden. Insted she
conduted anactivity to play with the number . She asked that if a number is divided by 5 ,reminder is 1. If the same number is devided by 2 reminder is 0. What should be the last digit of the number?​

Answers

Answer:

Hi,

6

Step-by-step explanation:

the number divided by 5 has a remainder of 1 , its last digit is 1 or 6.

the number is divisible by 2, its last digit is 0 or 2,or 4, or 6 or 8.

Both conditions give : the last digit must be 6.

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