A regular heptagon has sides measuring 26 mm and is divided into 7 congruent triangles. Each triangle has a height of 27 mm. What is the area of the heptagon?

Answer:

False.

Step-by-step explanation:

8154 = eight thousand one hundred and five four

27 = Two seven.

Now we divide.

8154/27 = 302

Now you get 302 if you divide.

So therefore, its false.

Answer:

interior = 3600° , exterior = 360°

Step-by-step explanation:

use the formula : ( n - 2 ) * 180 ..........where n is the number of sides

here the number of sides is 22

so if fall under the formula:

( 22 - 2 ) * 180

3600° is the total sum of the interior angles.

The exterior angle formula:

360° is the sum of the exterior angles.

The value of the trigonometric identities are;

1. cos R = 15/17

cos S = 8/17

2. cos R = 12/13

cos S = 5/13

Trigonometric Identities are simply seen as the equalities involving trigonometry functions.

It also holds true for all the values of variables given in the equation.

There are various distinct trigonometric identities involving the side length as well as the angle of a triangle. They are;

We have cosine represented as;

cos θ = adjacent/hypotenuse

For the first triangle, we have;

cos R = 30/34 = 15/17

cos S = 16/34 = 8/17

For the second triangle;

cos R = 24/26 = 12/13

cos S = 10/26 = 5/13

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Four comparisons of treatment means can be made.

When the null hypothesis for an ANOVA analysis comparing four treatment means is rejected, it implies that at least one of the treatment means significantly differs from the others. In this case, four comparisons of treatment means can be made to identify which specific treatments are significantly different. These post hoc comparisons are typically performed using methods such as Tukey's test, Bonferroni correction, or Scheffe's method. By conducting these pairwise comparisons, researchers can determine the specific treatments that exhibit statistically significant differences in means.

The number of comparisons that can be made when the null hypothesis for an ANOVA analysis comparing four treatment means is rejected is four. This implies that at least one treatment mean significantly differs from the others, and conducting posthoc tests allows researchers to identify the specific treatments with significant differences.

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Answer:

7.6 times 10 to the 6th power

Step-by-step explanation:

7.6 for the first two digits and there are 6 zeros so to the 6th power. Hope this helped!

Step-by-step explanation:

7.6 x 10^7

Answer:

Below

Step-by-step explanation:

1 would be 2 * the prob of 3 = 2 * ?? = 2 * ??     <====given

All of the probabilities have to sum to ONE

2 * ??   + .33 + ?? + .17 = 1.0

3 ?? = .5

?? =~ .17

Answer:

V = 4.22ft^3

Step-by-step explanation:

Length: 2.25ft

Width: 1.5ft

Height: 1.25ft

Length x Width x Height = V

2.25 x 1.5 x 1.25 = 4.22ft, since we're dealing with volume of a 3D space, the answer is 4.22ft^3!

Options a, b, d, and g are the correct conditions for a Binomial Distribution.

The four conditions necessary for X to have a Binomial Distribution are:

a. There are n set trials: In a binomial distribution, the number of trials, denoted as "n," must be predetermined and fixed. Each trial is independent and represents a discrete event.

b. The trials must be independent: The outcomes of each trial must be independent of each other. This means that the outcome of one trial does not influence or affect the outcome of any other trial. The independence assumption ensures that the probability of success remains constant across all trials.

d. There can only be two outcomes, a success and a failure: In a binomial distribution, each trial can have only two possible outcomes. These outcomes are typically labeled as "success" and "failure," although they can represent any two mutually exclusive events. The probability of success is denoted as "p," and the probability of failure is denoted as "q," where q = 1 - p.

g. The probability of success, p, is constant from trial to trial: In a binomial distribution, the probability of success (p) remains constant throughout all trials. This means that the likelihood of the desired outcome occurring remains the same for each trial. The constant probability ensures consistency in the distribution.

The remaining options, c, e, and f, are not conditions necessary for a binomial distribution. Option c, "Continue sampling until you get a success," suggests a different type of distribution where the number of trials is not predetermined. Options e and f, "You must have at least 10 successes and 10 failures" and "The population must be at least 10x larger than the sample," are not specific conditions for a binomial distribution. The number of successes or failures and the size of the population relative to the sample size are not inherent requirements for a binomial distribution.

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Answer:

35w^3 + 44w

Combine Like Terms:

= 35w + 9w + 35w^3 + 25w^3 - 25w^3

= (35w^3 + 25w^3 - 25w^3) +(35w + 9w)

= 35w^3 + 44w

Hope this is right ♡

Answer:

its a

Step-by-step explanation:

Based on the explanation below, the conclusion that Elan is tired because Elan stayed up late is invalid.

In the question, it is stated that if Elan stays up late, he will be tired the next day.

However, staying up late is not the only thing that could make Elan get tired.

This implies that there are so many other things than can make Elan get tired such as working for long hours.

It is possible that Elan was tired because Elans worked long hours.

By implication, the conclusion is invalid.

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Answer:

(2, 3)

Step-by-step explanation:

     9x - 7y = -3                

+   -9x + 15y = 27

             8y = 24           (Divide by 8 on both sides)

             8   =  8

y = 3

Substitute y = 3 in any of the two equations.

9x - 7(3) = -3

9x - 21 = -3

     +21 = +21         (Add 21 on both sides)

 9x     =  18               (Divide by 9 on both sides)

  9      =   9

x = 2

Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

Y = 3

X = 2

Step-by-step explanation:

(6x2) = 12

(8x3) = 24

12 + 24 = 36

(6x2) = 12

(5x3) = 15

12 + 15 = 27

Answer:

-9,0

Step-by-step explanation:

Counterclockwise in math most likely relates to something being negative mean while clockwise most likely relates to something being positive. So if were making a 90 degree turn counterclockwise(negative) then all we need to do is flip the x and y cordinants and make them negative to put it simply.

Answer:

a) (0,5)

Step-by-step explanation:

Answer:

16/77 or about 21%

Step-by-step explanation:

P(G,B) = 8/22 x 12/21 = 16/77 (simplified)

Answer:

5.6%

Step-by-step explanation:

The formula used is the change divided by the original amount, then converted to a percentage by multiplying by 100.

the correct question is

The parabola y = z^2 is changed to the form y = a(z - p)2 + q, by translating the parabola 2 units up and 4 units right and expanding it vertically by a factor of 3. What are the values of a, p, and q ?

-

we have

y=z^2 ------> parent function

vertex is (0,0)

y=a(z-p)^2+q

the translation is 2 units up and 4 units right

so

the rule is

(x,y) -----> (x+4,y+2)

so

y=a(z-4)^2+2

and

expanding it vertically by a factor of 3

the rule is

(x,y) -----> (x,3y)

therefore

y=3(z-4)^2+2

answer is

The thickness of the film of oil is approximately 1.0315 cubic miles.

Given the total oil spilled is 250 gallons and the area covered by oil is 1.20 square miles, we need to find the thickness of oil film. We can use the formula for this, which is Thickness of oil film = Volume of oil spilled / Area covered by oil.

To find the volume of oil spilled, we first need to convert gallons to cubic miles, which is 1 gallon = 0.00495113 cubic miles. So, 250 gallons of oil is equal to 0.00495113 x 250 = 1.2377825 cubic miles. Now, we can substitute the values in the formula to find the thickness of the oil film.

Therefore, the thickness of the film of oil is approximately 1.0315 cubic miles.

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Answer:

answer is 5 centimeter...

Answer:

Solution given:

(x²-7x+6)+(x²+6x)

open bracket

x²-7x+6+x²+6x

keep like terms together

x²+x²-7x+6x+6

solve like terms

2x²-x+6

option 3rd

2x² - x + 6

\\ thank \: you\)

I hope this helps you

Answer:

4

Step-by-step explanation:

Call the number x:

-> we have  \(\frac{2+x}{5+x} = \frac23\)

-> 2(5+x) = 3(2+x) -> 2x+10 = 3x+6 -> x = 4

So x (the number we need is) = 4

Answer:

b=\(\frac{3f}{ 4} + \frac{3r }{ 4 }\)

Step-by-step explanation:

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

The required details for  algebra equation in given paragraph

Here are some formulas that may be covered on an algebra 1 final exam:

Solving linear equations:

Given an equation in the form "ax + b = c", the solution can be found by isolating the variable on one side of the equation and then solving for the value of the variable.

Graphing linear equations:

Solving systems of linear equations:

Exponents and radicals:

Quadratic equations:

Polynomial operations:

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Based on the given data, we can calculate the control limits using 3-sigma for the diameter of the auto pistons.

a) The value of x is 155.56 mm (rounded to two decimal places).

b) The value of R is 4.44 mm (rounded to two decimal places).

c) Using 3-sigma, the Upper Control Limit (UCL) for the diameter is calculated as:

UCL = x + 3R = 155.56 + 34.44 = 156.93 mm (rounded to two decimal places)

The Lower Control Limit (LCL) for the diameter is calculated as:

LCL = x - 3R = 155.56 - 34.44 = 154.19 mm (rounded to two decimal places)

d) Using 3-sigma, the Upper Control Limit for the Range (UCLR) is calculated as:

UCLR = D4 * R = 2.115 * 4.44 = 7.89 mm (rounded to two decimal places)

The Lower Control Limit for the Range (LCLR) is always 0 in this case since negative ranges are not possible.

e) If the true diameter mean should be 155 mm, the new centerline (nominal line) would be 155 mm. In this case, the UCL and LCL would be calculated using 3-sigma as follows:

UCL = Nominal + 3R = 155 + 34.44 = 156.37 mm (rounded to two decimal places)

LCL = Nominal - 3R = 155 - 34.44 = 153.63 mm (rounded to two decimal places)

Please note that the control limits calculated using 3-sigma assume a normal distribution and the data follows the same pattern in the future.

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The complete question is:

What is the value of x? = x= 155.56 mm (round your response to two decimal places). b) What is the value of R? R= 4.44 mm (round your response to two decimal places). c) What are the UCL, and LCL; using 3-sigma? Upper Control Limit (UCL) = 156.93 mm (round your response to two decimal places). Lower Control Limit (LCL) = 154.19 mm (round your response to two decimal places). d) What are the UCLR and LCLR using 3-sigma? Upper Control Limit (UCLR)= 7.89 mm (round your response to two decimal places). Lower Control Limit (LCLR)= 0.99 mm (round your response to two decimal places). e) If the true diameter mean should be 155 mm and you want this as your center (nominal) line, what are the new UCL and LCL? Upper Control Limit (UCL)= 156.37 mm (round your response to two decimal places). Lower Control Limit (LCL;)= 153.63 mm (round your response to two decimal places). Refer to Table 56.1-Factors for Computing Control Chart Limits (3 sigma) for this problem Auto pistons at Wemming Chung's plant in Shanghai are produced in a forging process, and the diameter is a critical factor that must be controlled. From sample sizes of 10 pistons produced each day, the mean and the range of this diameter have been as follows: Day 1 2 3 4 5 Mean x (mm) 150.9 153.2 153.6 153.5 154.6 Range R (mm) 4.0 4.8 4.1 4.8 4.5

Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

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Answer:

Solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles.

If you attempted the problem four times and all recorded scores were 0%, it suggests that your attempts did not yield the correct solution. To solve the equation t = r + 7kw, we need to have specific values or information about the variables involved. Without any additional details, it is not possible to provide a numerical solution.

To improve your chances of solving the equation successfully, consider the following steps:

Review the equation: Make sure you understand the structure and the relationship between the variables. In this case, t is equal to the sum of r and 7 times the product of k and w.

Check for errors: Review your calculations and ensure there are no mistakes in your algebraic manipulations. Double-check your arithmetic operations and signs.

Seek assistance: If you're having difficulty solving the equation, consider reaching out for help. Consult a teacher, tutor, or someone knowledgeable in the subject matter. They can guide you through the problem-solving process and clarify any misunderstandings.

Practice and persistence: Continue practicing similar equations to improve your problem-solving skills. Persistence and practice are key to mastering mathematical concepts.

Remember, solving equations requires a systematic approach, attention to detail, and understanding of the underlying principles. Keep practicing and seeking assistance, and you will improve your problem-solving abilities over time.

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Answer:

Rectangle, six faces.

Rectangle with 6 faces :)