Need help ASAP Integrated math 2

The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

Learn more about regular polygon here

brainly.com/question/12092158

#SPJ4

The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

Answer:

61

Step-by-step explanation:

Mean of the data = 83.92  

The term "mean" refers to the average of the data and is derived by dividing the total number of data observations in the data by the total number of observations.

It is a data point that represents the average of all the data points in the collection. The most popular and commonly applied approach in statistics for determining the middle of a data collection is the mean.  

Here given data is

No of students(f\(_{i}\))         4        3       9         2       3        3          4  

Score (x\(_{i}\))                     70      75     80       85      90      95      100        

f\(_{i}\) x\(_{i}\)                          280       225    720    170     270    285    400      

The formula for the mean of the data is given by

=>  ∑ f\(_{i}\) x\(_{i}\) = 280 + 225 + 720 + 170 + 270 + 285 + 400 = 2350

=>  ∑f\(_{i}\)   = 4 + 3 + 9 + 2 + 3 + 3 + 4 = 28

=> Mean of the data = 2350/28 = 83.92  

Therefore,

The Mean of the data = 83.92

Learn more about Mean of data at

https://brainly.com/question/11163338

#SPJ1

All closed intervals of length 1 in which a function has a unique zero, we need to find all pairs of zeros that are exactly 1 unit apart and consider the intervals between them as described above.

To find all closed intervals of length 1 in which a function has a unique zero, we need to look for intervals where the function changes sign exactly once. This is because if a function has a unique zero, it must change sign from positive to negative or negative to positive at that point.

Let's call the function f(x). To find these intervals, we can use the Intermediate Value Theorem. This theorem states that if a function is continuous on a closed interval [a, b] and takes on values f(a) and f(b) at the endpoints, then it must also take on every value between f(a) and f(b) somewhere on the interval.

So, to apply this theorem, we need to find values of x such that f(x) = 0. Then, we can look at the intervals between these values and see if f(x) changes sign exactly once on any of them.

Let's say we find two zeros of the function at x = a and x = b, where a < b. Then, we can consider the intervals [a, a+1] and [b-1, b] (assuming these intervals have length 1). If f(x) is positive on the interval [a, a+1] and negative on the interval [b-1, b], or vice versa, then f(x) must change sign exactly once on each of these intervals and therefore has a unique zero in each interval.

In general, to find all closed intervals of length 1 in which a function has a unique zero, we need to find all pairs of zeros that are exactly 1 unit apart and consider the intervals between them as described above.

Learn more about closed intervals

brainly.com/question/30273384

#SPJ11

Thus, triangle obtained is right triangle. This triangle is will be unique and one side and angle is fixed.

In a right triangle, one of the three angles is 90 degrees, while the other two acute angles add up to 90 degrees.

Given data:

One side of triangle = 3 in (say BC)

Angle C = 50 degrees

Angle A = 90 degrees

Construct a triangle using the scale and compass.

The obtained figure is attached.

Thus, triangle obtained is right triangle. This triangle is will be unique and one side and angle is fixed.

Know more about the right triangle

https://brainly.com/question/2217700

#SPJ1

The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

learn more about exterior angle theorem from

https://brainly.com/question/17307144

#SPJ1

Using permutation there are 116,280 potential combinations of 4 employees that might go to the 4 conferences.

The number of selections possible for the first problem, where 4 employees are selected to participate in specialized training from a group of 20 employees, can be found using the combination formula:

C(20, 4) = 20! / (4! × (20 - 4)!) = 4845

Therefore, there are 4845 possible selections of 4 employees for the specialized training program.

For the second problem, we need to select 4 employees to attend 4 different conferences.

The order of selection matters, since each employee, will be attending a different conference.

Therefore, we need to use the permutation formula:

P(20, 4) = 20! / (20 - 4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116280

Therefore, there are 116,280 possible selections of 4 employees to attend the 4 different conferences.

Learn more about permutation at

https://brainly.com/question/1216161

#SPJ4

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Using the information given,

We can find the current monthly payment Sarah is making using the formula for the present value of an annuity:

\(PMT = PV \times r \times (1 + r)^n / [(1 + r)^{n - 1}]\)

where PV is the present value (balance), r is the monthly interest rate (APR/12), and n is the number of months (36).

PMT.

\(= 9450 \times 0.17/12 \times (1 + 0.17/12)^{36} / [(1 + 0.17/12)^{36} - 1]\)

= $338.48

To pay off the balance in 9 months, Sarah needs to increase her monthly payment.

Let's call this additional payment x.

Then, we have:

\(9450 \times 1.17^{9/12} = (338.48 + x) \times ((1 + 0.17/12)^{9 - 1}) / (0.17/12)\\\)

Solving for x, we get:

x = $1125.77

Therefore,

Sarah needs an additional monthly income of $1125.77 to pay off her credit card in 9 months.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

The value of the given triple integral is (1/12)(x^2+y^2)^2 - (1/12)(x^2+y^2-V4-2)^2

To evaluate the given triple integral LLL dzdydr, we need to first understand the limits of integration. From the expression given, we can infer that the integral is being taken over a spherical region, where r is the radial distance, θ is the polar angle, and φ is the azimuthal angle.

The limits of integration for r would be 0 to √(x^2+y^2), as that is the maximum distance from the origin for a given x and y value. For θ, the limits would be 0 to 2π, as that covers the entire circle around the origin. Lastly, for φ, the limits would be 0 to π/2, as that covers the upper half of the sphere (since the expression given is only defined for z ≥ 0).

With these limits in mind, we can rewrite the integral as:

∫∫∫ r dz dy dr, where r goes from 0 to √(x^2+y^2), θ goes from 0 to 2π, and φ goes from 0 to π/2.

We can then integrate with respect to z first, giving us:

∫∫ r^2/2 dy dr, where r goes from 0 to √(x^2+y^2), and θ goes from 0 to 2π.

Integrating with respect to y next, we get:

∫ r^2(x^2+y^2)/4 dr, where r goes from 0 to √(x^2+y^2).

Finally, integrating with respect to r gives us:

(1/12)(x^2+y^2)^2 - (1/12)(x^2+y^2-V4-2)^2.

To learn more about triple integral : brainly.com/question/30404807

#SPJ11

Answer:

The account balance will be $2,614.16 after 10 years ⇒ D

Step-by-step explanation:

The formula for compound interest, including principal sum is:

\(A=P(1+\frac{r}{n})^{nt}\), where

Let us use this rule to solve the question

∵ Ted invests $1,077 in a savings account with a fixed annual interest

   rat 9% compounded three times per year

∴ P = 1,077

∴ r = 9% = \(\frac{9}{100}\) = 0.09

∴ n = 3 ⇒ three times per year

∵ The time is ten years

∴ t = 10

Substitute these values in the rule above to find A

∵ \(A=1077(1+\frac{0.09}{3})^{3(10)}\)

→ Use your calculator to find the answer

∴ A = 2,614.161681

→ Round it to the nearest cent (2d.p.)

∴ A = $2,614.16

∴ The account balance will be $2,614.16 after 10 years.

The probability is approximately 0.274.

To find the probability that exactly 2 of the 5 elks caught were previously tagged, we can use the concept of combinations.

There are a total of 25 elks, out of which 6 were tagged and released. So, the probability of selecting a previously tagged elk is 6/25.

To calculate the probability of exactly 2 of the 5 caught elks being previously tagged, we need to consider the number of ways we can choose 2 tagged elks out of the 6 tagged elks and 3 non-tagged elks out of the remaining 19 non-tagged elks. This can be calculated using combinations.

The number of ways to choose 2 tagged elks out of 6 is given by C(6, 2) = 6! / (2! * (6-2)!) = 15.

Similarly, the number of ways to choose 3 non-tagged elks out of 19 is given by C(19, 3) = 19! / (3! * (19-3)!) = 969.

The total number of ways to choose 5 elks out of 25 is given by C(25, 5) = 25! / (5! * (25-5)!) = 53,130.

Therefore, the probability of exactly 2 of the 5 caught elks being previously tagged is:

(15 * 969) / 53,130 ≈ 0.274 (rounded to 3 decimal places).

Hence, the probability is approximately 0.274.

To learn more about probability visit;

https://brainly.com/question/31828911

#SPJ11

Answer:

because there are 9 oatmeal cookies and only 6 peanut butter cookies so he would most likely get a oatmeal cookie

Step-by-step explanation:

The answer is (a) $10,000.

The total cost of producing 200 units of output can be found by multiplying the output (200 units) by the average total cost (ATC) per unit, which is given as $50. Therefore, the total cost is:

Total Cost = Output x ATC

Total Cost = 200 x $50

Total Cost = $10,000

Therefore, the answer is (a) $10,000.

Learn more about average

brainly.com/question/24057012

#SPJ11

We do not have sufficient evidence to conclude that there is more variation in weights of men from town A than in weights of men from town B at the 0.05 significance level.

To test the claim that there is more variation in weights of men from town A than in weights of men from town B, we can perform an F-test for comparing variances. The null hypothesis (H₀) assumes equal variances, and the alternative hypothesis (Hₐ) assumes that the variance in town A is greater than the variance in town B.

The F-test statistic can be calculated using the sample standard deviations (s₁ and s₂) and sample sizes (n₁ and n₂) for each town. The formula for the F-test statistic is:

F = (s₁² / s₂²)

Substituting the given values, we have:

F = (29.8² / 26.1²)

Calculating this, we find:

F ≈ 1.246

To determine the critical value for the F-test, we need to know the degrees of freedom for both samples. For the numerator, the degrees of freedom is (n1 - 1) and for the denominator, it is (n₂ - 1).

Given n₁ = 41 and n₂ = 21, the degrees of freedom are (40, 20) respectively.

Using a significance level of 0.05, we can find the critical value from an F-distribution table or using statistical software. For the upper-tailed test, the critical value is approximately 2.28.

Since the calculated F-test statistic (1.246) is not greater than the critical value (2.28), we fail to reject the null hypothesis. Therefore, based on the given data, we do not have sufficient evidence to conclude that there is more variation in weights of men from town A than in weights of men from town B at the 0.05 significance level.

To know more about sufficient evidence click here :

https://brainly.com/question/32734531

#SPJ4

The question is incomplete the complete question is :

A researcher obtained independent random samples of men from two different towns. She recorded the weights of the men. The results are summarized below:

Town A

n1 = 41

x1 = 165.1 lb

s1 = 29.8 lb

Town B

n2 = 21

x2 = 159.5 lb

s2 = 26.1 lb

Use a 0.05 significance level to test the claim that there is more variation in weights of men from town A than in weights of men from town B.

The slope of a line in the form "y = mx + b" is given by the coefficient "m" of the x term.

For the first equation, x - 2y = -1/2, we can rearrange the terms to get y = (1/2)x - 1/2. The coefficient of the x term is 1/2, so the slope of the line is 1/2.

For the second equation, -4x - 8y = 2, we can rearrange the terms to get y = -(1/2)x - 1/4. The coefficient of the x term is -1/2, so the slope of the line is -1/2.

The floor area of the engineer's model of the sugar factory is 10.825 square feet.

To determine the floor area of the engineer's model of a sugar factory in square feet, we need to convert the given measurements from inches to feet. Since there are 12 inches in a foot, we can divide both dimensions by 12 to convert them.

The length of the model in feet is 30 inches / 12 = 2.5 feet, and the width is 52 inches / 12 = 4.33 feet.

To find the floor area, we multiply the length by the width:

Area = Length × Width

= 2.5 feet × 4.33 feet

= 10.825 square feet

It's important to note that the given measurements are not a standard aspect ratio or scale for a sugar factory. The given dimensions may be scaled down for the model's convenience, so the calculated floor area is only applicable to the scale of the model.

In actuality, a sugar factory would have much larger dimensions.

For more such questions on floor area

https://brainly.com/question/32436570

#SPJ8

Answer:

D

Step-by-step explanation:

It says not similar

The statements for the function f( x) = 3x ²- 5 are

f( 5)< 1( false)

f( 0) = 1( false)

Statements for the function f(x) = 3x ²- 5

To find the true or false statement we have to substitute the value for x

First, x= 3

f(x) = 3x ²- 5

f(3)= 3( 5)²- 5

f(3) = 75- 5

f(3)= 70.

Thus, the statement" f( 5)< 1" is false.

Now, at x =0

f(x) = 3x ²- 5

f(0) = 3( 0)²- 5

f(0)= 0- 5

f(0)= -5.

Thus, the statement" f( 0) = 1" is false.

Learn more about Function here:

https://brainly.com/question/30721594

#SPJ1

There are 20,000 different phone numbers possible that is 7-digits long and start with either 824 or 825.

Fundamental Principle of Counting, also called the counting rule, is the method to count how many ways multiple independent events can occur.

Based on the given information, all phone numbers are 7-digits long and starts with either 824 or 825. Hence, the four last digits will be the combination of numbers from 0 to 9.

Thus, by Fundamental Principle of Counting, the number of possible outcomes is 20,000.

= (number of phone numbers starting with 824) + (number of phone numbers starting with 825)

= (10 x 10 x 10 x 10) + (10 x 10 x 10 x 10)

= 20,000

Learn more about counting principle here: brainly.com/question/16050707

#SPJ4

The corresponding parts are:

The statement is given as:

△ABC was transformed using two rigid transformations.

The rigid transformations imply that:

The images of the triangle after the transformation would be equal

So, the corresponding parts are:

The results are true because rigid transformations do not change the side lengths and the angle measures of a shape

To do this, we simply make use any of the following congruent theorems:

The classmate's claim is that

Only two pairs of corresponding parts are enough to prove the congruent triangle

The above is true because of the following congruent theorems:

Read more about congruent theorems at

https://brainly.com/question/2102943

#SPJ1

The cost of the fourth book is 3500. To find the cost of the fourth book, we used the formula Average Price = Total Cost / Number of Items and calculated the cost to be 3500.

Formula: Average Price = Total Cost / Number of Items.Calculation: Since Kofi bought 4 books at an average price of 2500, the total cost of the 4 books must be 4 x 2500 = 10000. Since the total cost of 3 books was 6500, the cost of the fourth book must be 10000 - 6500 = 3500.In conclusion, the cost of the fourth book is 3500. To find the cost of the fourth book, we used the formula Average Price = Total Cost / Number of Items and calculated the cost to be 3500.

Learn more about cost here:

https://brainly.com/question/19075809

#SPJ4

The events A, B, and C with probabilities 0.4, 0.5, and 0.6, respectively, cannot be independent as their joint probability does not equal the product of their individual probabilities.

The events A, B, and C cannot be independent because the probability of event C (0.6) is greater than the probabilities of events A (0.4) and B (0.5). For events to be independent, the probability of their joint occurrence should equal the product of their individual probabilities. In this case, if events A, B, and C were independent, we would expect the probability of the joint occurrence (A and B and C) to be 0.4 * 0.5 * 0.6 = 0.12. However, the given probability for event C is 0.6, which is greater than the expected joint probability of 0.12. Therefore, events A, B, and C cannot be independent.

To know more about probability,

https://brainly.com/question/12543071

#SPJ11

To find the constants m and b in the linear function f(x) = mx + b, we can use the given conditions f(7) = 9 and a slope of -3.

The value of f(7) represents the y-coordinate of the point on the line when x = 7. So, substituting x = 7 into the equation, we get 9 = 7m + b.

The slope of a linear function is given by the coefficient of x, which in this case is -3. So, we have m = -3.

Now, we can substitute the value of m into the equation obtained from f(7). We get 9 = 7(-3) + b, which simplifies to 9 = -21 + b.

Solving for b, we find b = 30.

Therefore, the constants for the linear function f(x) = mx + b that satisfy the given conditions are m = -3 and b = 30.

learn more about linear function here:

https://brainly.com/question/21107621

#SPJ11

Minimax Regret Approach takes place when the decision chosen is the one corresponding to the minimum of the maximum regrets.

In the Minimax Regret Approach, decisions are evaluated based on their maximum possible regret. It aims to minimize the potential regret associated with a decision by selecting the option that corresponds to the minimum of the maximum regrets.

In decision-making scenarios, individuals often face uncertainty about the outcomes and have to choose from various alternatives. The Minimax Regret Approach provides a systematic method for evaluating these alternatives by considering the regrets associated with each decision.

To apply this approach, the decision-maker identifies the potential outcomes for each decision and determines the corresponding payoffs or losses. The regrets are then calculated by subtracting each payoff from the maximum payoff across all decisions for a particular outcome. The decision with the smallest maximum regret is chosen as it minimizes the potential loss or regret.

Learn more about Minimax Regret Approach

brainly.com/question/32228433

#SPJ11

The function's formula for the ice sheet's thickness is S(t) = 0.2t + 1.02.

Mathematically, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be modeled (represented) by this mathematical expression;

S(t) = mt + b

Where:

After a time of 7 weeks and a rate of decrease of 0.2, the y-intercept or initial amount of ice can be calculated as follows;

S(t) = mt + b

2.42 = 0.2(7) + b

2.42 = 1.4 + b

y-intercept, b = 2.42 - 1.4

y-intercept, b = 1.02.

Therefore, the required linear function is given by S(t) = 0.2t + 1.02.

Read more on linear function here: brainly.com/question/27325295

#SPJ1

Complete Question:

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.42 meters thick.

Let S(t), denote the ice sheet's thickness S (measured in meters) as a function of time t (measured in weeks).

Write the function's formula.

S(t) = ?

h = 11.9 cm

cos = adjacent/ hypotenuse

therefore:

cos(24) = h/ 13

rearrange:

h = 13cos(24)

put into calculator:

h = 11.8760...

rounded to one decimal point:

h = 11.9cm

The solution is : the probability, to the nearest 10th of a percent, that both marbles drawn will be green will be 0.053.

Here, we have,

n(r) = 7

n(b) = 8

n ( g) = 5

Total number of marbles = 20

The probability that both marbles drawn will be green will be

The probability of the first being green = 5/20 and the probability that the second marble is green = 4/19.

We will multiply the two together , we have

5/20 x 4/19

= 20/380

= 0.05263157895

Therefore : the probability, to the nearest 10th of a percent, that both marbles drawn will be green will be 0.053

To learn more on probability click:

brainly.com/question/11234923

#SPJ1