a) Explain why this method does not result in a fair decision?

b) Explain how they can use the sum of the numbers rolled to make a fair decision?​

The length of the arc KL in the given circle is 3.49 units

In a circle whose radius is R, the length of an arc defined by an angle x is given by:

Length = (x/360)*2*3.14*R

Here we know that the radius is 2 units, and the angle for the arc KL is 100°, then we can replace these values in the formula above so we get that the length of the arc is:

Length = (100/360)*2*3.14*2

Lenght = 3.49 units.

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Answer:

\((x+2)^2+(y-4)^2=16\)

Step-by-step explanation:

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is \(4\).

We know that the circle is tangent to the \(X\) axis at \((-2,0)\)

That means the x coordinate of the center has to be \(-2\), as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is \((-2, 4)\) and a point on the edge of the circle (the tangent point) which is \((-2,0)\). so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

The equation of a circle is \((x-h)^2+(y-k)^2=r^2\) where \((h,k)\) is the center and \(r\) is the radius. When we put the numbers in: we get \((x-(-2))^2+(y-(4))^2=4^2\) which can be simplified into \((x+2)^2+(y-4)^2=16\) which is the answer.

Answer:

7

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

so the question is asking you to do 5-(-2)

since there is a negative sign, it is asking u to switch the sign of the number in the ()

this means that you would change -2 to +2 and add 5+2 which would be 7

Answer:

c)( -1,2)

Step-by-step explanation:

Using the graph, we can get the solution as (-1,2)

mathematically,

y= 2x + 4

y= -x + 1

substituting equation two into equation one we have,

-x + 1= 2x +4

-x = 2x+4-1

-x = 2x+3

-x-2x = 3

-3x = 3

x= –1

substituting x= –1 into eqn one we have,

y= 2( –1) + 4

y = –2 + 4

y = 2

therefore the solution is ( –1, 2)

The total amount of money Walter paid for the book after the removal of discount and addition of sales tax is $21.726

Percentage discount = 20%

Original price = $25.50

Sales tax = 6.5%

New price after discount = $25.50 - (20% × $25.50)

= 25.50 - (5.1)

= $20.4

Actual amount paid with sales tax = $20.4 + (6.5% × $20.4)

= 20.4 + 1.326

= $21.726

Therefore, Walter paid $21.726 for the book after discount and sales tax have been applied.

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Answer:

15 apples

20 bananas

Step-by-step explanation:

The percentile of 6.2 in the given data set is 40%.

To determine the percentile of 6.2 in the given data set, we can use the following steps:

Arrange the data set in ascending order:

4.2, 4.6, 5.1, 6.2, 6.3, 6.6, 6.7, 6.8, 7.1, 7.2

Count the number of data points that are less than or equal to 6.2. In this case, there are 4 data points that satisfy this condition: 4.2, 4.6, 5.1, and 6.2.

Calculate the percentile using the formula:

Percentile = (Number of data points less than or equal to the given value / Total number of data points) × 100

In this case, the percentile of 6.2 can be calculated as:

Percentile = (4 / 10) × 100 = 40%

The percentile of 6.2 in the sample data set is therefore 40%.

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To draw a conclusion, a statistical analysis with a significance level (alpha) of 0.02 can be applied to compare the results.treated samples consistently show lower shrinkage temperatures compared to the control samples

In this study, the aim is to prove that electrical stimulation improves meat tenderness. Connective tissue (collagen) from beef steaks was examined, as lower collagen shrinkage temperature indicates higher tenderness.

The beef carcasses were split, with one side subjected to electrical current and the other side untreated as a control. Steak samples were cut from each side and tested for tenderness by determining the collagen shrinkage temperature.

I, it suggests that electrical stimulation does improve meat tenderness.

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Answer:

y=4(9)x

Hope it helps

Please mark me as the brainliest

Thank you

With help of integration, The volume of the  solid that results when the region bounded by y=√x , y=0, and x=16 is revolved about the line x=16 will be 42.66 cubic unit.

What exactly is integration?

The process of computing an integral is known as integration. Mathematicians utilise integrals to compute a variety of useful quantities such as areas, volumes, displacement, and so on. When we talk about integrals, we usually imply definite integrals. Antiderivatives are represented by indefinite integrals. Integration, along with differentiation, is one of the two major calculus concepts in mathematics (which measure the rate of change of any function with respect to its variables).

Integral Fundamental

A definite integral is one that has both upper and lower bounds. For X to lie, only a true line may be utilised. The Definite Integral is also known as a Riemann Integral.

From a to b, use ∫f(x)dx

indefinite integral

Integrals are defined without upper and lower limits. It looks like this:

A indefinite Integral is written as:

∫f(x)dx = F(x) + C

Where C might be any constant and the function f(x) is referred to as the integrand.

Now,

for volume of the   solid that results when the region bounded by y=√x , y=0, and x=16 is revolved about the line x=16.

volume= ∫√x dx for x=0 to 16

=x*√x/3/2

=64*2/3

=128/3

=42.66 cubic unit

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Answer:

36

Step-by-step explanation:

9x is equal to 9 multiplied by x.

x=4 so it is 9 x 4

9 x 4=36

Answer:

-42

Step-by-step explanation:

by PEMDAS, we have to multiple before we can subtract or add so start by multiplying 5*2*5 (easy to multiply 2*5 which equals 10 and then multiply it by the second 5 so 10*5=50; same thing for 4*2=8). now we can subtract 8 from 50 which we can rewrite as -50+8 if it's easier to think of it that way instead of 8-50 and we get a negative number (another way to think about it is we know the bigger number is negative so we subtract the big number and the small number and then put the negative sign in front like this: -(50-8)= -42)

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

Answer:

i just kno that D is 0

Step-by-step explanation:

-7 +7=0

Using the relation between velocity, distance and time, it is found that it took the knight 20 hours to traveled from one kingdom to another.

Velocity is distance divided by time, hence:

v = d/t

On the first day, he traveled at a speed of 10 mph, a distance of d, hence:

10 = d/t

t = d/10

On the second day, he traveled at a speed of 8 mph, a distance of 180 - d, hence:

8 = (180 - d)/t

t = (180 - d)/8

Equaling both equations for t, we find the distance on the first day, hence:

d/10 = (180 - d)/8

8d = 1800 - 10d

18d = 1800

d = 100 miles.

The time on the first day was:

t = 0.1d = 0.1 x 100 = 10 hours.

On the second day he traveled the same amount of time, hence, in total, he traveled 20 hours.

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Answer:

4 Adults and 3 Kids

Answer:

$352.48

Step-by-step explanation:

500 = P(1+6/100)^6

500 = P(1.141851912)

P = 500 / 1.1418519112 = 352.48

Answer:

Okay, so I don't have a full answer, but I know that number 3 is C.

Step-by-step explanation:

We can easily knock off A and B as they are in the 1 circle and 1-4 is all on circle 4. I know what 3 is because it was correct on my test. However, I'm not sure about the other three other than that the other letters you should use is D, E, and F. Hope this helps somewhat.

Based on mathematical operations, the lowest amount that Annabel can pay for pencils is $15.20

The lowest amount that Annabel can pay for pencils can be determined using the mathematical operations of multiplication and division.

Multiplication and division are two of the four basic mathematical operations, including addition and subtraction.

If Annabel chooses to purchase the first pencil at 30p each, she would pay £22.80 (£0.30 x 76).

If Annabel chooses to purchase the second pencil class of a pack of 10 pencils for £2, she would pay £15.20 [£2 x (76 ÷ 10)].

Pencils for sale

30p each

Pack of 10 pencils for £2

Thus, if Annabel wants to buy the pencils, she can either pay £15.20 or £22.80, but using mathematical operations, the lowest amount she can pay is £15.20.

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Answer:

5x - 17

Step-by-step explanation:

3 + 5x - 20

= 5x - 17

Answer:

Step-by-step explanation:

The growth rate of the investment is represented by the constant multiplier in the exponential term of the formula y = 20000(1.035)x. In this case, the constant multiplier is 1.035, which represents the annual growth rate of the investment account.

To calculate the growth rate as a percentage, we can subtract 1 from the constant multiplier, and then multiply the result by 100.

So, the growth rate of the investment is:

1.035 - 1 = 0.035

0.035 * 100 = 3.5%

Therefore, the growth rate of the investment is 3.5%.

Answer:

Below - 13

Above 35

Step-by-step explanation:

Given the 5 number summary :

1, 5, 11, 17, 20

Minimum = 1

Q1 = 5

Q2 = 11

Q3 = 17

Maximum = 20

Lower Outlier = Q1 - 1.5*IQR

Upper Outlier = Q3 + 1.5*IQR

IQR = Q3 - Q1 = 17 - 5 = 12

LOWER = 5 - (1.5 * 12) = 5 - 18 = - 13

UPPER = 17 + (1.5 * 12) = 17 + 18= 35

All you need to do is convert 128 (base 10) to base 16.

We have

128 = 8*16 + 0

so

128 (base 10) = 80 (base 16)

which means gray is encoded as 808080 in HTML.

The teacher can thus use social sciences as a vehicle to develop mathematical skills by facilitating the development of skills such as data interpretation and analysis.

As an instructor, I would use social sciences to develop mathematical skills in the following manner:Consider a social science topic like demography. In this case, a teacher could use mathematics to assist students in interpreting population statistics.

Teachers might guide students to gather information about population size, growth rate, and geographical distribution from various countries and then use statistics to analyze the data.

For example, a teacher could give students graphs or charts to help them understand population growth rates. They can be asked to make comparisons and identify trends.

In this way, students' understanding of the population is improved, as is their mathematical reasoning.Aside from using mathematics to interpret population statistics,

the teacher can also incorporate mathematical skills development in social sciences by using methods that involve understanding and analysis of data. In other words, students learn how to use data to reach conclusions and make decisions.

They learn how to interpret data and how to extract information from it.This method of teaching creates opportunities for the use of the same skills in different contexts and areas of learning.

It enables students to see connections between subjects and fosters an integrated approach to learning.

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Answer:

9.61m

Step-by-step explanation:

to find the diameter you have to multiply the radius by 2

since radius is half of a circle

Answer:

a) C) The system has no solutions only when h=3 and k is any real number.

b) D) The system has a unique solution when \(h=(-\infty,3)U(3,\infty)\) and k is any real number.

c) The system has may solutions when h=3 and k=15

Step-by-step explanation:

a) In order to determine when the system will have no solution, we can start by solving the equation by substitution. We can solve the first equation for x1:

\(x_{1}+hx_{2}=3\)

so

\(x_{1}=3-hx_{2}\)

Next we can substitute this into the second equation so we get:

\(5(3-hx_{2})+15x_{2}=k\)

We distribute the 5 into the first parenthesis so we get:

\(15-5hx_{2}+15x_{2}=k\)

and group like terms:

\(-5hx_{2}+15x_{2}=k-15\)

we factor x2 so we get:

\(x_{2}(-5h+15)=k-15\)

and solve for x2:

\(x_{2}=\frac{k-15}{-5h+15}\)

this final answer is important because it tells us what value the system of equations is not valid for. That answer will not ve vallid if the denominator is zero, so we can set the denominator equal to zero and solve for h, so we get:

\(-5h+15= 0\)

and solve for h:

\(-5h= -15\)

\(h=\frac{-15}{-5}\)

\(h= 3\)

so it doesn't really matter what value k gets since all that matters is that the denominator of the answer isn't zero.

b)

For part b we need to know when the system of equations will have infinitely many answers. Generally, this will happen when both equations are basically the same, so we need to make sure to simplify the second equation so it looks like the first equation, compare them and determine the respective coefficients.

So we take the second equation and factor it:

\(5x_{1}+15x_{2}=k\)

we start by factoring a 5 from the left side of the equation so we get:

\(5(x_{1}+3x_{2})=k\)

Next, we divide both sides of the equation into 5 so we get:

\(x_{1}+3x_{2}=\frac{k}{5}\)

we now compare it to the first equation:

\(x_{1}+hx_{2}=3\)

\(x_{1}+3x_{2}=\frac{k}{5}\)

In this case, every coefficient of the two equations must be the same for us to get infinitely many answers, so we can see that h=3 and \(\frac{k}{5}=3\)

when taking the second condition and solving for k we get that:

\(k=3(5)\)

so

k=15

Anything else than the specific combination h=3 and k=15 will give us unique solutions, so for b, the answer is:

D) The system has a unique solution when and k is any real number.

c)

We have already solved part c on the previous part of the problem, so the answer is:

The system has many solutions when h=3 and k=15

The relation and equation that is modelled by the graph is y = x - 1.

To determine the relation and equation that is modelled by the graph, we must analyze the characteristics of the graph.The graph is a straight line that passes through the points (0, -1) and (4, 3).

The slope of the line can be determined by using the slope formula:slope = (y2 - y1) / (x2 - x1) = (3 - (-1)) / (4 - 0) = 4/4 = 1

Therefore, the slope of the line is 1. We can use the point-slope form of the equation of a line to determine the equation of the line.y - y1 = m(x - x1)

where y1 = -1, x1 = 0, and m = 1Substituting these values, we get:y - (-1) = 1(x - 0)y + 1 = x Simplifying this equation, we get the relation y = x - 1.

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Answer:

8 and 16

Step-by-step explanation:

Answer:

I have 8 and 16

Answer:

9/16

Step-by-step explanation:

captain has a 3/4 probability of hitting the ship

pirate has a 1/4 probability of hitting the ship

This means he has a 3/4 probability of missing the ship

P (captain hitting and pirate missing) = 3/4*3/4 = 9/16

1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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