Question 4(Multiple Choice Worth 2 points)
(Experimental Probability MC)

Louis rolled a fair six-sided die and recorded the number that was facing up on the die. He continued this for a total of 100 rolls. The table shows the frequency of each number rolled.


Outcome 1 2 3 4 5 6
Frequency 17 20 14 18 16 15


Based on the table, what is the experimental probability that the number rolled was even?
53 over 100
47 over 100
5 over 12
1 over 2

Answer: Q.a Arun thinks that -29/36 is exactly halfway between -8/9 and -13/18. We can check if this is true by finding the midpoint between -8/9 and -13/18 and seeing if it equals -29/36.

To find the midpoint between two numbers, we take the average of the two numbers. So the midpoint between -8/9 and -13/18 is:

((-8/9) + (-13/18))/2 = (-16/18 + (-13/18))/2 = -29/36

Since -29/36 is the same as the midpoint, Arun is correct.

Q.b To find the fraction exactly halfway between -1 3/4 and -11/6, we can start by converting the mixed number to an improper fraction:

-1 3/4 = -7/4

-11/6

To find the midpoint between -7/4 and -11/6, we take the average:

((-7/4) + (-11/6))/2 = (-21/12 + (-22/12))/2 = -43/24

Therefore, -43/24 is the fraction exactly halfway between -1 3/4 and -11/6 on the number line.

Step-by-step explanation:

The probability of the center of a circle being contained within a randomly formed triangle using three points along its perimeter is 1/4 or 25%. This probability remains the same for any size of the circle.

The probability that the center of the circle is contained within the triangle formed by selecting three random points along its perimeter is 1/4 or 25%. This is because any triangle that contains the center of the circle must have all of its vertices on the circumference of a smaller circle with half the radius of the original circle. The probability of selecting three random points on the circumference of this smaller circle is 1/4 or 25%.

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Answer: C.5

Step-by-step explanation:

The circumference of the base of a circular flower pot with a diameter of 16.2 is 50.92.

Circumference of the circle or perimeter of the circle is the measurement of the boundary across any two-dimensional

circular shape including circle.

The circumference of a circle is the distance around its boundary.

If d is the diameter of the circle, then the circumference is given by:

Circumference = π × d

Circumference = π × 16.2

Using π ≈ 3.1415926,

we can calculate the circumference:

Circumference ≈ 3.1415926 × 16.2

Circumference ≈ 50.92

Therefore, the circumference of the base of a circular flower pot with a diameter of 16.2 is approximately 50.92.

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The linear separable SVM is not always applicable in case of noise in the training data. When dealing with noisy training data, the performance of a linear separable SVM can be negatively affected, as it tries to find a perfect separation between the classes, which may not be possible in noisy data.

To deal with noisy training data, SVM can be modified by introducing a "soft margin" approach, which allows some flexibility in class separation. This is achieved by using a parameter called C (cost parameter), which controls the trade-off between achieving a wider margin and minimizing classification errors. A higher value of C results in a smaller margin but fewer classification errors, making the model more sensitive to noise. A lower value of C results in a larger margin, allowing more classification errors but providing better generalization to handle noise.

Choosing the appropriate value for C is crucial for the SVM model's performance. Additionally, nonlinear kernel functions, such as the radial basis function (RBF) kernel, can be used instead of a linear kernel to map the data into a higher-dimensional space. This allows the SVM to find more complex decision boundaries, which can better handle noisy data.

In summary, to deal with noisy training data in SVM, one can use the soft margin approach by adjusting the cost parameter (C) and opt for nonlinear kernel functions like RBF, enabling the model to generalize better and handle noise effectively.

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Answer:

The area of the trapezoid is 165.06mi.

Step-by-step explanation:

We can find the area of a trapezoid by the following formula:

[tex]\boxed{A_T = \frac{(B + b) \cdot h}{2} }[/tex]

Note: Base are the parallel sides of the trapezium.

Now, let's change the values in the previous formula:

[tex]A_T = \frac{(B + b) \cdot h}{2}\\\\A_T = \frac{(6.7 + 18.5) \cdot 13.1}{2}\\\\A_T = \frac{25.2 \cdot 13.1}{2}\\\\A_T = \frac{330.12}{2}\\\\A_T = 165.06[/tex]

Therefore, the area of this trapezoid is 165.06 mi.

I hope I've helped.

Happy studying! =D

The correct equation would be:

0b. A = 240 - 4h

Explanation:

If Clayton can plow 4 acres per hour, the number of acres he can plow in 'h' hours would be 4h.

Therefore, the number of acres left to plow would be the total number of acres (240) minus the number of acres he has already plowed (4h).

Hence, the equation that represents the number of acres left to plow would be A = 240 - 4h.

Given two similar triangles

The corresponding sides are proportions

So,

[tex]\dfrac{x}{y} =\dfrac{20}{90} =\dfrac{2}{9}[/tex]

So, the relation between x and y will be:

[tex]x=\dfrac{2}{9} y[/tex]

The area of the smaller triangle = 45 cm²

So, area =

[tex]\dfrac{1}{2} x\times y=45[/tex]

Substitute with x into the equation of the area to find the value of y

         [tex]\dfrac{1}{2} \times\dfrac{2}{9} y\times y=45[/tex]

[tex]y^2=\dfrac{45\times1\times9}{2} =\dfrac{405}{2}=202.5[/tex]

                [tex]y=\sqrt{202.5}[/tex]

Substitute with y into x

[tex]x=\dfrac{2}{9} \times\sqrt{202.5} =\frac{2\sqrt{202.5} }{9}[/tex]

So, the answer will be:

[tex]x=\frac{2\sqrt{202.5} }{9}[/tex]

[tex]y=\sqrt{202.5}[/tex]

The value of x on the first image is 5 and in the second image is 17.

Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees which is called interior angles.

According to the given information:

In fig 1, by midsegment theorem,

[tex]x+8 = \frac{1}{2} (3x+11)[/tex]

on simplifying

[tex]2x+16=3x+11\\3x-2x = 16-11\\x = 5[/tex]

In fig 1, by midsegment theorem,[tex]x+5=\frac{1}{2} (3x-7)[/tex]

on simplifying

[tex]2x+10 = 3x-7\\3x-2x = 10+7\\x = 17[/tex]

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Answer:

  table 1

Step-by-step explanation:

You want to know which of the four given tables represents a linear function.

The x-values increase by 2; y-values decrease by 2/3. The rate of change is constant. This is a linear function.

The x-values increase by 2; y-values decrease, then increase again. The rate of change is not constant. This is not a linear function.

The x-values increase by 2; y-values increase by changing amounts. The rate of change is not constant. This is not a linear function.

The x-values repeat. This is not a function.

To rewrite the quadratic function y = -9(x-1)²-6 in standard form, we need to expand the squared term and simplify the expression. Here are the steps:

Distribute the negative sign to the squared term: y = -9(x² - 2x + 1) - 6

Multiply -9 by each term inside the parentheses: y = -9x² + 18x - 9 - 6

Combine the constants: y = -9x² + 18x - 15

Therefore, the standard form of the quadratic function y = -9(x-1)²-6 is y = -9x² + 18x - 15.

Answer:

y = -9x[tex]x^{2}[/tex]  + 18x - 15

Step-by-step explanation:

The total cost is the same for both locations when there are 10 guests.

To determine the number of guests for which the total cost is the same at each location, we need to set up an equation and solve for the number of guests (let's call it x).

Roller rink cost: 5x + 55

Laser tag cost: 8x + 25

Now, set the two costs equal to each other and solve for x:

5x + 55 = 8x + 25

Subtract 5x from both sides:

55 = 3x + 25

Subtract 25 from both sides:

30 = 3x

Divide by 3:

x = 10

So, the total cost is the same for both locations when there are 10 guests.

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Answer:

Let's start by finding out how long it takes Jim to fold the washing in minutes. Since there are 60 minutes in an hour, Jim takes 60 minutes to fold the washing. Sara can do the same job in half the time, so she takes 30 minutes to fold the washing. To find out how long it would take them to fold the washing together, we can use the formula: Time = (Work) / (Rate) In this case, the "work" is folding the washing, and the "rate" is how long it takes each person to do the work. We can add their rates together to get the combined rate: Combined rate = Jim's rate + Sara's rate Combined rate = 1/60 + 1/30 To add these fractions, we need to find a common denominator, which is 60:

The value of b, given the graph, the vertical and horizontal asymptote, would be - 8 .

At the y-intercept, x = 0. We can plug this into the equation and solve for y:

-4 = (a(0) + b) / (0 + c)

-4 = b / c

The vertical asymptote occurs when the denominator is equal to 0:

x + c = 0

x = -2

Thus, c = 2.

The horizontal asymptote occurs when the limit of the function as x approaches infinity is equal to a constant value:

y = a/c

3 = a/2

a = 3 * 2

= 6

The value of b would therefore be:

-4 = b / 2

b = -8

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Answer: you will have 20 percent chance of finding a red jelly bean

4 jelly beans out of 20 are going to be red.

20-4=16

16/20=80%

1-0.8=.2

20%

Step-by-step explanation:

Answer: 185.64 inches

The surface area of the box is 185.64 square inches.

The area is the amount of area occupied by an object's flat (2-D) surface or shape.

To find the surface area of the box, we need to calculate the area of each face and then add them up.

The four faces are rectangles with dimensions 8.8 inches by 4.3 inches, so their area is 4(8.8)(4.3) = 151.36 square inches.

The other area can be described as 2(4.3)(4.3) =36.98 square inches.

Finally, we need to account for the rectangular tear on one of the sides, which has dimensions of 0.5 inches by 5.4 inches. This tear creates an additional face with area (0.5)(5.4) = 2.7 square inches.

Therefore, the total surface area of the tissue box is:

151.36 + 36.98 - 2.7 =  185.64 square inches.

Hence, the surface area of the box is 185.64 square inches.

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The required total cost of the tablet computer is $625.87.

let computer that is on sale at 15% off?

A sales discount, also referred to as a "discount," gives customers of a company a discount on one or more of the offered goods or services. Limits can be applied to almost any industry or business offering deals of an item or administration.

The discounted price of the tablet computer is:

[tex]$\begin{align*}708 \times 0.85 &= 601.80\end{align*}[/tex]

The sales tax on the tablet computer is:

[tex]$\begin{align*}601.80 \times 0.04 &= 24.072\end{align*}[/tex]

Therefore, the total cost of the tablet computer, including sales tax, is:

[tex]$\begin{align*}601.80 + 24.072 &= 625.87\end{align*}[/tex]

Therefore, the total cost of the tablet computer is $625.87.

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Answer: The answer is (B) 16.5%.

Step-by-step explanation:

Answer:

slope is 2

y-intercept is (0,4)

yk i got u

Answer: x=

2

y−4

​−2x+y=4

Subtract y from both sides.

−2x=4−y

Divide both sides by −2.

−2

−2x

​

=

−2

4−y

​

Dividing by −2 undoes the multiplication by −2.

x=

−2

4−y

​

Divide 4−y by −2.

x=

2

y

​

−2

Step-by-step explanation:

PLEASE GIVE ME BRAINLIEST

The two streets that are the legs of the Triangle are Streets A and B.

The length of C street can be found to be 3. 61 miles.

If Dan can bike 4 miles in half an hour, then he can make the trip to Sarah's house in 30 minutes.

The length of C street can be found using the Pythagorean Theorem which is:

Length C ² = Leg A ² + Leg B²

This means the length of C street is:

Length C ² = 2 ² + 3 ²

Length C ² = 13

Length C = √ 13

= 3. 61 miles

This means that Dan can get to Sarah's house in 30 minutes if he is going at 4 miles per half hour.

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Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.

A mathematical strategy for resolving proportionality issues is the unitary method. Finding the price of one unit is the first step, and utilizing that value to determine the value of yet another quantity with a different quantity is the second. Consider being told, for instance, that an automobile drives 300 kilometres in 5 hours. You are able to employ the unitary technique as shown below to determine how far the car drives in eight hours. For example, 1 hour is equal to 300/5, or 60 miles. To calculate the value of eight hours, use this value: Since 8 hours are equal to 8/1 units, 480 miles are covered in 8 hours.

given

Let P represent the book's total number of pages.

Jessica reads 30 pages per day, which translates to 330 pages after 3 days, or 90 pages total.

5/8 of the book is still to be read, which indicates that 3/8 of it has already been. As a result, P – 90 pages equals 3/8 of the book.

Divide both sides by 5, and you get:

P = 144

The book thus has 144 pages.

Regarding the second query:

She reads 45 pages per 225 pages, or 1/5 of the book.

We divide the total number of pages by the average number of pages Jamie reads each day to determine the number of days Jamie will need to finish the book.

Jamie will therefore need five days to complete the book as a result, P – 90 pages equals 3/8 of the book.

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The area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.

A rectangle is a four-sided flat shape with opposite sides that are equal in length and parallel to each other. It has four right angles (90-degree angles) at each corner. The two sides that are parallel to each other are called the length, and the other two sides are called the width.

The area of a rectangle is found by multiplying its length and width, and its perimeter is the sum of the lengths of all four sides. Rectangles are common in everyday life and can be found in many different contexts, such as books, doors, windows, and electronic screens.

According to given information,

Let's assume that the length of the rectangle is 'l' and the width is 'b'.

The area of a rectangle is given by the formula A = lb, where A is the area, l is the length, and b is the width.

The perimeter of a rectangle is given by the formula P = 2(l + b), where P is the perimeter, l is the length, and b is the width.

So, the area of the rectangle is:

A = lb = 28

And the perimeter of the rectangle is:

P = 2(l + b) = 40

P = (l+b) = 20

l= 20 -b

Now, we can substitute l = 20 - b into these formulas:

A = (20 - b)b

P = 2(20 - b + b)

Simplifying, we get:

A = 40b - b²

P= 40

So, the area of the rectangle in terms of b is 11b - b², and the perimeter is always 22, regardless of the value of b.

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The length of the rectangle is 10 cm and breadth of the rectangle is 4 cm.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

The longer parallel sides are called length(l) and two shorter sides are called breadth(b).

Perimeter of a rectangle is 2(l+b).

Area of rectangle is l*b.

2(l+b)=28

L+b=28/2=14

L=14-b .....eq(1)

L*b=40

(14-b)b=40

14b-b^2=40

b^2-14b+40=0

b^2-10b-4b+40=0

b(b-10)-4(b-10)=0

(b-10)(b-4)=0

Either b=10 or b=4

If b=10 then l =4 but length can't be shorter than the breadth so b=4cm and l=10 cm is the answer.

Answer:

I'm sorry, but your request is unclear. Can you please provide more context or information so that I can better understand and assist you? Thank you.

Answer:     3.25

Step-by-step explanation:

To round 3.254 to the nearest hundredth, we need to look at the digit in the thousandth place, which is 4. Since 4 is less than 5, we do not need to round up the hundredth digit (5) to the next higher number. Therefore, the rounded number to the nearest hundredth is:

please choose my answer as brainly

Answer: No, it’s not a statistical question

Step-by-step explanation:this question only pertains to one person and it not something that can be represented as a statistic.

Answer:

70

Step-by-step explanation:

Hello there! Let's work this through:

Firstly, we might want to simply 2 1/2 into 5/2, for simplification.

So, we now have 4 * 7 * 5/2

Simplifying we have [tex]\frac{4*7*5}{2}[/tex]

We see that we can easily simplify 4/2 into 2 * 7 * 5

Further simplifying we get 10*7

Last bit and we get our answer of 70

From here we get 2

The graph of the function is in the image at the end, there we can see that the range is  (-3, ∞)

Remember that the range of a function is the set of the possible outputs of a function.

Here we have the function:

f(x) = (1/2)ˣ - 3

The graph of the function is in the image at the end.

There we need to look at the vertical axis to identify the range, here we can see that the function goes from y = -3 upwards (asymptothically), then the range is (-3, ∞)

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Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.

Area is the measure of the amount of space inside a two-dimensional (2D) flat surface or shape, such as a rectangle, circle, or triangle. It is typically measured in square units, such as square meters or square feet. The formula for finding the area of a shape varies depending on the shape itself.

To find out how many square feet of sod Ms. Switer will need, we need to find the area of the lawn. The formula for the area of a rectangle is length x width. Therefore, the area of Ms. Switer's lawn is:

Area = Length x Width

Area = (36 2/3 ft) x (45 1/6 ft)

Area = (110/3 ft) x (271/6 ft)

Area = 2981.388... square feet (rounded to three decimal places)

Therefore, Ms. Switer will need approximately 2981.388 square feet of sod for her front lawn.

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