Aaron indicated that after tossing a penny 30 times, the relative frequency of heads was 0.47 (to the nearest hundredth). What would you predict the relative frequency would be after 60 coin tosses? Explain your answer. *

It should be noted that a polygon that's inscribed in a circle has each vertex on the outer figure.

It should be noted that a polygon simply means a plane figure that has a finite number of straight line segments.

In this case, a polygon that's inscribed in a circle has each vertex on the outer figure. Also regular polygons can be inscribed in a circle.

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0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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Polynomials are algebraic expressions that involve the sum of power functions. Monomials are the simplest type of polynomial and are used to describe terms with a single term, such as 5m².

A monomial is a polynomial consisting of only one term, and it may be a constant, variable, or a product of a constant and a variable. The degree of a monomial is determined by the exponent of the variable.

In this case, 5m² has a degree of 2 because the exponent of m is 2. When it comes to multiplication and division of monomials,

the rules for powers apply. When multiplying monomials with the same base, we add the exponents; for example, (2m) (3m²) = 6m³.

In terms of dividing monomials, we subtract the exponent of the denominator from the exponent of the numerator; for example, (3m²) / (2m) = 1.5m.

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The accurate diagram of the end of the roof will given a side length of 6.2 cm, 6.2 cm and 8 cm.

The accurate diagram of the end of the roof is determined by constructing the given angles of the triangle and the corresponding side lengths of the triangle.

Since the base angles of the triangle are equal, the two opposite side length of the triangle must be equal.

To construct the triangular diagram of the end of the roof we will follow the steps below;

Thus, the accurate diagram of the end of the roof will given a side length of 6.2 cm, 6.2 cm and 8 cm.

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The graph of -4x+3y=-30 is shown below.

The x-intercept of -4x+3y=-30 is: 7.5

The y-intercept of -4x+3y=-30 is: -10.

The x-intercept of a linear equation can be determined from its graph, where it is the point where the x-axis it intercepted by the line.

On the other hand, the y-intercept is the point on the y-axis that the graph intercepts or crosses.

Given the linear equation, -4x+3y=-30, find the x and y-intercepts as shown  below:

Find the x-intercept by substituting y = 0 into -4x+3y=-30:

-4x + 3(0) = -30

-4x = -30

x = -30/-4

x = 7.5

x-intercept is 7.5

Find the y-intercept by substituting x = 0 into -4x + 3y = -30:

-4(0) + 3y = -30

3y = -30

y = -30/3

y = -10.

y-intercept is -10.

The graph of the linear equation that shows the x and y-intercepts is shown in the diagram below.

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a) By the intermediate value theorem, the function has at least one real zero between a and b because f(a) = (a^4 - 2a^2 - 8) < 0 and f(b) = (b^4 - 2b^2 - 8) > 0. b) By the intermediate value theorem, the function does not have at least one real zero between a and b because f(a) = (a^4 - 2a^2 - 8) < 0 and f(b) = (b^4 - 2b^2 - 8) > 0.  (c)The given statement is true "It is impossible to use the intermediate value theorem in this case." Because there are opposite signs of f(a) and f(b)

a) By the intermediate value theorem, the function has at least one real zero between a and b because f(a) = (a^4 - 2a^2 - 8) < 0 and f(b) = (b^4 - 2b^2 - 8) > 0.

Therefore, f(a) and f(b) have opposite signs and since f is a polynomial function and therefore continuous, by the intermediate value theorem, there exists at least one real zero of f between a and b.

So the correct choice is: a) By the intermediate value theorem, the function has at least one real zero between a and b because f(a) = (a^4 - 2a^2 - 8) < 0 and f(b) = (b^4 - 2b^2 - 8) > 0.

We cannot select b) because f(a) and f(b) have opposite signs and hence, f must have at least one zero between a and b. It is also not impossible to use the intermediate value theorem in this case.

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Answer:

It will take them 7.89 days

The data given has: a) A strong correlation, b) A positive correlation

Correlation is a statistical measure that expresses the extent to which two variables are linearly related, meaning they change together at a constant rate.

We have ordered pairs in the data as:

x             y

1             2

2            3

3            8

4            10

5            26

6            38

7            46

8            50

9            68

Plotting the graph (attached)

Clearly, on plotting the scatter plot on the basis of table of values, we see that the relation is a strong correlation since we can find a relationship between variable x and y.

i.e. the points will lie above or below the curve  which is formed by connecting some points of the scatter plot and are not scattered away.

Hence, the data above has: A strong correlation.

Also, the graph is a positive correlation since with the increasing value of x the y-value also increases.

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Answer:answer is 20

Step-by-step explanation:9/3=3 then add that to 2 times 6 which is 12+3=15 then 15+5+20

Answer:

Hi! To find x (the missing angles of the triangles), remember that the angles in a triangle add up to 180 degrees. This means that for each triangle, you can add the two angles given, then subtract that number from 180 to find x. I'll use Triangle 1 as an example:

81 + 84 = 165

180 - 165 = 15

So for Triangle 1, x is equal to 15.

To classify each triangle by angles, remember that an acute triangle has three angles that each measure less than 90 degrees, a right triangle is a triangle with one 90 degree angle, and an obtuse triangle is a triangle with one angle that is greater than 90 degrees. To classify each triangle by sides, remember that scalene triangles have three sides of unequal length, isosceles triangles have two sides of equal length, and equilateral triangles have three sides of equal length.

Keeping all this in mind, here are your answers:

Triangle 1 - 15 acute scalene

Triangle 2 - 120 obtuse scalene

Triangle 3 - 41 right scalene

Triangle 4 - 104 obtuse isosceles

Triangle 5 - 25 right scalene

Triangle 6 - 64 acute scalene

Triangle 7 - 72 acute scalene

Triangle 8 - 32 obtuse scalene

Triangle 9 - 40 right scalene

I hope this helps you! Have a great day. - Mani :)

If the probability of having a defect is 20%, then the probability that there is no defect is 0.8 or 80%.

The probability that there is no defect can be calculated by subtracting the probability of having a defect from 1. Since the probability of having a defect is 20%, the probability of no defect is:

1 - 0.20 = 0.80

Therefore, the probability that there is no defect is 80%.

In probability theory, the complement rule states that the probability of an event occurring is equal to 1 minus the probability of its complement. In this case, the event of interest is having no defect, and its complement is having a defect.

If the probability of having a defect is 20%, it means that out of every 100 cases, 20 cases would have a defect. Hence, the remaining 80 cases would not have a defect. This means that the probability of no defect is 80% or 0.80.

By subtracting the probability of having a defect (20%) from 1, we obtain the probability of no defect (80%). This is because the sum of the probabilities of mutually exclusive events must be equal to 1. Therefore, the probability that there is no defect is 80%.

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Answer:

352 ft²

Step-by-step explanation:

The formula for the area of a trapezoid is \(A=(\frac{b_1+b_2}{2})h\) where \(b_1\) and \(b_2\) are the bases of the trapezoid and \(h\) is the height, thus:

\(A=(\frac{b_1+b_2}{2})h\\\\A=(\frac{13+31}{2})(16)\\\\A=(\frac{44}{2})(16)\\ \\A=(22)(16)\\\\A=352\)

This means that the area of the trapezoid is 352 ft².

Answer: hypotenuse is 37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

Step-by-step explanation:

2x+3y=13..........(I)

2x-3y=5.….........(II)

Subtract equation II from equation I

0+6y=8

6y=8

y=8/6=4/3

Substitute 4/3 for y in 2x-3y=5

2x-3×(4/3)=5

2x-4=5

Collect like terms

2x=4+5

2x=9

x=9/2

Therefore,y=4/3,x=9/2

Answer:

y=1/2x+4

Step-by-step explanation:

The point of intersection is 4, and it goes up one, right 2 so the rise over run is 1/2

Answer:

£336

Step-by-step explanation:

cost of recarpeting = area of the shop x cost per square meter

Area of a rectangle = length x breadth

7 x 12 = 84m^2

cost of recarpeting = 84m^2 x 4 = £336

Answer:the correct answer is b

Step-by-step explanation:

Answer:

x=2, y=5

Step-by-step explanation:

Replace all occurrences of x with 2y−8 in each equation.

9y−32=13

x=2y−8

Solve for y in the first equation.

y=5

x=2y−8

Replace all occurrences of y with 5 in each equation.

=> x=2, y=5

Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

Fisher's Exact Test is used when there are two independent samples of categorical data. This test is specifically designed to determine if there is a significant association between two categorical variables in a 2x2 contingency table.

It is commonly used when the sample size is small, which can cause issues with other statistical tests such as the chi-square test.

The two independent samples refer to two different groups or populations that are being compared. For example, we might be interested in comparing the success rates of a new drug treatment versus a placebo in a clinical trial, where success and failure are the two categories being considered.

Fisher's Exact Test calculates the probability of observing the data given the null hypothesis of no association between the variables. It does this by considering all possible arrangements of the data that have the same marginal totals. If the calculated probability is very small (typically less than 0.05), we reject the null hypothesis and conclude that there is a significant association between the variables.

In summary, Fisher's Exact Test is used when there are two independent samples of categorical data, and it is a valuable tool for analyzing small sample sizes where other tests may not be appropriate.

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The measure of the complement of the angle is A) 54.

Given:

The ratio of the measure of the supplement of an angle to that of a complement of the angle is 8:3.

Let x be the angle.

supplement of the angle of x is = 180-x

complement of the angle of x is = 90 -x

180 - x / 90 -x = 8/3

3(180-x) = 8(90-x)

3*180 - 3*x = 8*90 - 8*x

540 - 3x = 720 - 8x

-3x+8x = 720 - 540

5x = 180

divide by 5 on both sides

x = 180/5

x = 36

Complement of the angle = 90 - 36

= 54

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When there are two arguments, the first one is used as a starting value rather than 0; when there are three arguments, the third one is used as an increment rather than the implied default of 1.

The statistical range is the range of values between the highest and lowest for a particular data collection. Another way to represent the range is the difference between the highest and lowest observation. The sample interval is determined by subtracting the largest number from the lowest. For continuous variables, the sample range is a critical measure of variability.

here

Basically, the range function in Python takes three inputs.

Start: An integer designating the range object's beginning.

Stop: An integer that represents the object at the end of the range.

Step: An integer that represents the increment following each value.

When there are two arguments, the first one is used as a starting value rather than 0 .

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Answer: Only Kayla

Step-by-step explanation: i took the test

Kayla states correct statement that Andy is constructing the inscribed circle of the triangle.

Constructing the circumscribed circle of triangle ABC,

So that would be a circle that touches vertices the three vertices of the triangle .

We can construct using it using a compass and a straight edge, or a virtual compass and a virtual straight edge .

So what we want to do is center the circle at the perpendicular bisectors of the sides or sometimes that's called the circumcenter of the triangle.

To construct where the perpendicular bisectors of the sides are ,So let me put a circle over here whose radius is longer than this side right over here .

Now let get one that has the same size so let make it the same size as the one i just did.

And allow to construct a perpendicular bisector. If go through that point and this point right over here, this bisect the side over here, and its at a right angle.

Now lets do that for the other sides,  if i move this over here and  I really just have to do it for one, of the other sides.

Because the intersection of two lines is going to give a point . so can do it for this side right over here.

So let me add a other straight edge right over here. so going to go through the point , so that's the perpendicular bisector. of the side right over here. and i could do the third side and it should intersect at that point .

I am not ultra , ultra precise but closing enough. and now i just have to center one of these circle .

And move the circle to the circumcenter and adjust its radius so that its get close to touching .

The three sides the three vertices of the triangle ABC .

Kayla state that Andy is constructing the inscribed circle of the triangle . This is the correct.

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The name given to a probability prediction based on statistics and historical occurrences on the likelihood of how many times in the next year a threat is going to cause harm is called a threat risk assessment.

A risk assessment is a systematic process that involves gathering and analyzing data to determine the potential impact and likelihood of a threat causing harm.


It takes into account historical data, such as past incidents or events, as well as statistical information to estimate the probability of future occurrences.

To conduct a risk assessment, various factors are considered, including the nature of the threat, the vulnerability of the system or entity being assessed, and the potential consequences of the threat materializing.


By analyzing these factors, experts can provide a prediction or estimate of the probability of harm occurring within a given timeframe.

For example, let's say a company wants to assess the risk of cyber attacks in the upcoming year.


They would gather data on past cyber attacks, analyze trends, and consider factors such as the company's security measures and the evolving nature of cyber threats.


Based on this information, they would then make a probability prediction on the likelihood of future cyber attacks causing harm.

Overall, a risk assessment helps organizations and individuals make informed decisions about potential threats and take appropriate actions to mitigate or manage those risks.


It provides a structured approach to understanding the likelihood of harm and enables proactive measures to be taken to prevent or minimize the impact of potential threats.

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To find a model that expresses the revenue R as a function of p, we need to use the formula for revenue, which is R = p*x. Substituting the demand equation x=-5p+200, we get R = p*(-5p+200), which simplifies to R = -5p^2 + 200p.

Therefore, the revenue R is a quadratic function of the price p. This means that as the price of the product increases, the revenue initially increases, reaches a maximum value, and then starts to decrease.

To maximize the revenue, we can take the derivative of the revenue function with respect to p and set it equal to zero. So, dR/dp = -10p + 200 = 0, which gives p = 20. Substituting this value of p into the revenue function, we get R = -5(20)^2 + 200(20) = 2000.

Therefore, the maximum revenue that can be generated from selling the product is $2000, when the price of the product is $20. It is important to note that this is only a theoretical maximum, and in practice, other factors such as competition and consumer behavior may affect the actual revenue generated.

In conclusion, by using the demand equation and the formula for revenue, we were able to find a model that expresses the revenue R as a function of p, which is R = -5p^2 + 200p. We also found the price that maximizes the revenue, which is $20.

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Explanation:

See the diagram below. It shows there are 10 sides, so n = 10.

We'll plug this value of n into the formula below to find the sum of all ten interior angles

S = sum of interior angles

S = 180(n-2)

S = 180(10-2)

S = 180(8)

S = 1440 degrees

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

A different approach:

Let's assume this polygon is a regular polygon. This means each angle is congruent to one another.

We have n = 10 sides, so each exterior angle is E = 360/n = 360/10 = 36 degrees.

Each interior angle adjacent to this 36 degree exterior angle is

180-E = 180-36 = 144 degrees

Since we have 10 equal angles of 144 degrees each, so overall the interior angles add to 10*144 = 1440 degrees

Side note: if this polygon is not a regular polygon, then this section does not apply. You would use the first method instead.

Answer:

(- 3, 2 )

Step-by-step explanation:

The solution to the system is at the point of intersection of the 2 lines.

The lines intersect at (- 3, 2 )

Thus the solution is (- 3, 2 )

The volume and the surface area is 85.33π in³ and 16π in² respectively.

Given that a sphere of diameter 8 in, we will find it surface area and volume,

Surface area of a sphere = 4π × radius²

= 4π × (8/2)² [∵ diameter = 2 × radius]

= 16π in²

Volume of a sphere = 4π/3 × radius³

= 4π/3 × 4³

= 256π/3

= 85.33π in³

Hence the volume and the surface area is 85.33π in³ and 16π in² respectively.

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