guys please help me it's Find the area of the polygon

1.) Probability of getting 1: 0.12 or 12%.

2.) Probability of getting 2: 0.16 or 16%.

3.) Probability of getting 3: 0.25 or 25%.

4.) Probability of getting 4: 0.18 or 18%.

5.) Probability of getting 5: 0.15 or 15%.

6.) Probability of getting 6: 0.14 or 14%.

To calculate the probability of getting a specific number on a fair die, we divide the number of times that number appears by the total number of rolls. In this case, the die was rolled 100 times, and the results are given as follows:

Number: 1 2 3 4 5 6

Times: 12 16 25 18 15 14

To find the probability of getting each number, we divide the corresponding number of times by the total number of rolls (100):

Probability of getting 1 = 12 / 100 = 0.12.

Probability of getting 2 = 16 / 100 = 0.16.

Probability of getting 3 = 25 / 100 = 0.25.

Probability of getting 4 = 18 / 100 = 0.18.

Probability of getting 5 = 15 / 100 = 0.15.

Probability of getting 6 = 14 / 100 = 0.14.

Therefore, the probabilities of getting each number on a fair die, based on the given results of 100 rolls, are approximately:

1: 0.12 or 12%,

2: 0.16 or 16%,

3: 0.25 or 25%,

4: 0.18 or 18%,

5: 0.15 or 15%,

6: 0.14 or 14%.

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Answer: 504 hours.

Step-by-step explanation: I am assuming it says, use a table not a lable.

Well, I can't make a table, so I will tell you where to put everything in a table.

We start with placing one day, one day is 24 hours. One day goes on the top, 24 hours goes on the bottom. Then, we know there are 7 days in a week, so we jump ahead, we multiply 24 by 7 and 1 by 7.

24 x 7 = 168 and 1 x 7 = 7

So for every week, it is 168 hours. Now we need to find three weeks. So we multiply 7 x 3 to get the days. which is 21. Now we need to multiply the hours by  the 3 weeks. So we multiply 168 by 3 which is 504.

So 504 hours are in 3 weeks.

The height of the ball 2 seconds after it has been released is 141 feet

The height function is given as:

h(t) = −10t^2 + 89t + 3

At 2 seconds, we have

t = 2

So, the equation becomes

h(2) = −10 * 2^2 + 89 * 2 + 3

Evaluate the exponent and the product

h(2) = −40 + 178 + 3

Evaluate the sum and the difference

h(2) = 141

Hence, the height of the ball 2 seconds after it has been released is 141 feet

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Answer:

Step-by-step explanation:

exact form: x=63/5

Answer:

7

Step-by-step explanation:

14-|-10+3|

First find what is in the absolute value

14-|-7|

Take the absolute value

14 - 7

7

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

The first one and the last one.  A and D.

Step-by-step explanation:

A linear equation is and equation where the line is going up on a graph.  In order for that to happen, y must always be bigger than x.  The first and last chart all the way to the right is the only one that has that trait.  :)

The measure of the angle x is 48 degrees

The properties of a transversal includes;

Also, note that corresponding angles are equal

Alternating angles are equal in measure

From the diagram shown, we have that;

Angle x and the angle 48 degrees are corresponding angles

Hence, x is 48 degrees

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Answer:

Step-by-step explanation:

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

it's answer is D. 33°

Let the unknown angle be x Then.

x + 100° + 47° = 180° [ being sum of angles of triangle ]

x + 147° = 180°

x = 180° - 147°

x = 33°

Step-by-step explanation:

For a large sample size (greater than 30), distribution is normal.

An insurance company claims that in the population of homeowners, the mean loss and standard deviation from fire is

μ = $250

o = $5000

The distribution of loss is strongly right skewed.

a). Since for a simple random sample of size n= 15 drawn from  the population of homeowners.

Since the given sample size is small. Therefore for small sample size less the 30 the distribution of

follow t- distribution.

Since t distribution has more variance than normal distribution.

Also t- distribution is symmetric as normal distribution at t=0.

For small sample size sampling distribution is t -distribution.

b). Now if the simple random sample of size n = 10000 drawn from the population of homeowners.

Thus for the large sample size and given mean and standard deviation sampling distribution of x follow normal distribution. Also we know that normal distribution have a bell-shaped curve which is symmetric to z=0.

For a large sample size (greater than 30), distribution is normal.

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Based on the information provided, it is expected that after 18 months, the difference in the cost of the two plants is 240.

By following the sequence provided on the table, let's calculate the cost for each plant:

Plant A: 75, 110, 145, 180, 215, 250, 285, 320, 355, 390, 425, 460, 495, 530, 565, 600, 635, 670.

Plant B: 60, 110, 160, 210, 260, 310, 360, 410, 460, 510, 560, 610, 660, 710, 760, 810. 860, 910

Now, let's calculate the difference in cost:

910 - 670 = 240

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Answer: y = 3 or y=7

Step-by-step explanation:

\(y^{2} -10y+21\)

what 2 factors of 21 can equal 10 when added together (1*21- no 3*7- yes)

Factor

\((y-3)(y-7)\)

y-3=0

y=3

or y-7=0

y=7

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the answer is d because

20 is "=" 5 times "×" as 4

so the formula derived is

20= 5x4

is represents =

times represents ×

hope you get it

Answer:

The width of the rectangle is 32cm and the length is 37cm.

Step-by-step explanation:

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

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Answer:

C is correct

Step-by-step explanation:

Answer:

The answer is B, C, D, and E

Step-by-step explanation:

I hope this helps!

Considering what an incenter of a triangle is, the statements that will be true given the diagram attached below are:

\(B. $ DG \cong FG\\\\C. $ DG \cong BG\\\\\)

D. \(\overline{GE}\) bisects ∠DEF

E. \(\overline{GA}\) bisects ∠BAF

The diagram of the triangle with an incenter that is being referred to has been attached in the image below.

Recall:

Therefore, considering what an incenter of a triangle is, the statements that will be true given the diagram attached below are:

\(B. $ DG \cong FG\\\\C. $ DG \cong BG\\\\\)

D. \(\overline{GE}\) bisects ∠DEF

E. \(\overline{GA}\) bisects ∠BAF

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The monthly Payment for the loan is approximately $271.24.

To calculate the monthly payment for the loan, we can use the formula for calculating the monthly payment on an intermediate-term loan. The formula is:

Monthly Payment = (Loan Amount * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))

Given:

Loan Amount = $50,000

Interest Rate = 6.5% per year

Number of Years = 5

First, we need to convert the annual interest rate to a monthly interest rate. Since there are 12 months in a year, the monthly interest rate is:

Monthly Interest Rate = (6.5% / 100) / 12 = 0.00541667

Plugging in the values into the formula, we get:

Monthly Payment = ($50,000 * 0.00541667) / (1 - (1 + 0.00541667)^(-5 * 12))

              = $271.24

Therefore, the monthly payment for the loan is approximately $271.24.

The owners of the restaurant want to use the loan to renovate the kitchen and expand the dining room, which they expect will generate additional monthly revenue between $2,000 and $5,000.

If we assume a conservative estimate of $2,000 per month in additional revenue, the loan payment of $271.24 represents approximately 13.56% of the additional revenue. This means that the owners would still have a significant portion of the additional revenue available for other expenses or profit.

On the other hand, if we consider the higher estimate of $5,000 per month in additional revenue, the loan payment would represent only about 5.42% of the additional revenue, leaving a substantial amount of money for other purposes.

Considering these calculations, it appears that taking this loan is a smart business decision. The monthly payment is manageable and leaves a significant portion of the additional revenue for the restaurant's operation and potential profit. However, it is essential for the owners to ensure that the projected additional revenue is realistic and sustainable to cover the loan payment and other business expenses.

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The length of Stephen's rug is 3 feet.

To find the length of Stephen's rug, we can use the formula for the perimeter of a rectangle, which is P = 2L + 2W, where P is the perimeter, L is the length, and W is the width. In this case, we know that the perimeter of the rug is 16 feet and the width is 5 feet. So, we can plug in these values into the formula and solve for L:

Let's use the formula for the perimeter of a rectangle to solve the problem:  Perimeter = 2 x (Length + Width)

We know that the perimeter of the rug is 16 feet and the width is 5 feet. Plugging those values into the formula, we get: 16 = 2 x (Length + 5)

Simplifying the equation, we can divide both sides by 2:

8 = Length + 5

16 = 2L + 2(5)

16 = 2L + 10

2L = 6

L = 3

Therefore, the length of Stephen's rug is 3 feet.

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You have the following expression:

log(-15.44)

Take into account that the logarithm of a negative number is not defined.

Then, the answer is Undefined

Answer:

The statements that can be used to compare the characteristics of the functions are:

1. g(x) has the greatest maximum value.

2. All three functions share the same domain.

Explanation:

- The table shows the values of three functions - f(x), g(x), and h(x) - evaluated at different values of x.

- We cannot determine the domain of f(x) or h(x) from the given table but we can see that g(x) has a domain of all real numbers.

- We can see that g(x) has the highest maximum value among the three functions, which is 8.

- We cannot determine the range of f(x) or g(x) from the given table but we can see that h(x) has a range of all negative numbers.

- We cannot say anything about the domain or range of f(x) based on the given table.

- Therefore, the two statements that can be used to compare the characteristics of the functions are: g(x) has the greatest maximum value and all three functions share the same domain.

\(x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac } }{2a} \)

Answer:

~75.4 ft

Step-by-step explanation:

C = 2*pi*r = pi*d = pi*24 = ~75.4 ft

C: circumference

r: radius

d: diameter

pi = ~3.14

Answer: 24π ft

Step-by-step explanation: To find the circumference of a circle with a diameter of 24 feet, start with the formula c = πd.

Now we can plug the diameter into our formula.

So we have (π)(24 ft) which is equal to 24π ft.

So the area of the circle is 24π ft.

Answer: x-12

Step-by-step explanation:

Simplify.

x

−

1

0

−

6

+

4

x−10−6+4

2 Collect like terms.

x

+

(

−

1

0

−

6

+

4

)

x+(−10−6+4)

3 Simplify.

x

−

1

2

x−12

Someone might have arrived at the incorrect number by incorrectly counting frequencies or not accounting for every data point.

Table 1.35 should be as follows:

Number of Years in US | Frequency

2  | 3

5  | 4

7  | 2

10 | 2

12 | 2

15 | 2

20 | 2

b. This statement is incorrect because 47 percent does not equal the total number of people surveyed.

c. This statement can be fixed by saying "Four out of the nineteen people surveyed have lived in the U.S. for 5 years."

d. The fraction of people surveyed who have lived in the U.S. for five or seven years is 6/19, or 31.58%.

e. The fraction of people surveyed who have lived in the U.S. for at most 12 years is 10/19, or 52.63%.

f. The fraction of people surveyed who have lived in the U.S. for fewer than 12 years is 9/19, or 47.37%.

g. The fraction of people surveyed who have lived in the U.S. from five to 20 years, inclusive, is 12/19, or 63.16%. This can be calculated by subtracting the number of people who have lived in the U.S. fewer than five years (3) from the number of people who have lived in the U.S. 20 or more years (2), and dividing the result (12) by the total number of people surveyed (19).

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