15 In circle F with m/EFG = 78 and EF = 4 units, find the length of arc EG. Round to the nearest hundredth. F G E ​

The confidence interval is (22.68,29.52).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of anticipated observations are frequently used by analysts. Therefore, it can be concluded that there is a 95% probability that the true value falls within that range if a point estimate of 10.00 is produced using a statistical model with a 95% confidence interval of 9.50 - 10.50.

n = 10

x = 26.1

s = 4.2

Two-sided confidence interval :

CI = [tex](x-\frac{z*s}{\sqrt{n}},x+\frac{z*s}{\sqrt{n} } )[/tex]

    = [tex](26.1-\frac{2.576*4.2}{\sqrt{10}},26.1+\frac{2.576*4.2}{\sqrt{10}} )[/tex]

    = (26.1−3.42,26.1+3.42)

    = (22.68,29.52)

Hence, the confidence interval is (22.68,29.52).

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The equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. For example, 3x – 5 = 16 is an equation.

The balloon will reach an altitude of 75 meters above the ground.

Now, 120-75 =45 meters

Let t be the time to descends 45 meters

So, 120 - 4.5t= 75

= -4.5 t = 75-120

= -4.5t = -45

= t = -45/(-4.5)

= t = 10 minutes

Hence, the equation to model the given situation is 120 - 4.5t= 75 and the solution to the equation is 10 minutes.

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A)There are 88 trader sell only one fruit.

B) There are 46  trader sell only two fruit.

Since there are three sets, use the formula

n (A∪O∪M) = n(A) + n(O) + n(M) - n(A∩O) -n(O∩M) - n(A∩M) + n(A∩O∩M)

A represents apple traders = 40

O represents orange traders = 46

M represents mangoes traders = 50

A∪O∪M = total traders = 100

A∩O = 14

O∩M = ?

A∩M = 15

A∩O∩M = 10

B) Substitute values into the formula

100 = 40 + 46 + 50 - 14 - 15 - O∩M + 10

100 = 146 - 29 - O∩M

100 = 117 - O∩M

Make O∩M subject of formula

O∩M = 100 -117

O∩M = 17 traders

Now,

n(A∩O) -n(O∩M) - n(A∩M)

= 14 + 17 + 15

= 46

Therefore, the number of traders that sells two fruits  are 46.

A) oranges n(O)

= 46-(4+10+ x)

= 32

Again,

mangoes n(M).

= 50-(5+10+x)

= 35

Now,

apple n(A)

= 40-(4+10+5)

= 21

Now, adding all of them we get:

n(o) + n(M) + n(A) = 32 + 35 + 21

                            = 88

Therefore, 88 trader sells only two fruit

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The sum of 2.3 and 1.94, that is 2.3 + 1.94 is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

Therefore the answer is 4.24.

The first number, 2.3, can be broken down into 2 wholes and 3 tenths.

The second number, 1.94, can be broken down into 1 whole, 9 tenths and 4 hundredths.

To add the two numbers together, we first add the wholes: 2 + 1 = 3.

Next, we add the tenths: 3 + 9 = 12

Since we cannot have more than 9 tenths in a whole, we must regroup 12 tenths as 1 whole and 2 tenths.

We add the regrouped tenths to the number of wholes: 3 + 1 = 4

After regrouping, we have 4 whole and 2 tenths.

Now we add the hundredths: 0 + 4 = 4

Thus the sum is 4 wholes, 2 tenths and 4 hundredths, which can be written in decimal form as 4.24.

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Area = 1/2*base*height = 1/2*9*4 = 18 sq.m

Solution:

We will be using the area of rectangle formula to calculate the areas of the three rectangles given.

(a) Length(l) = 9 m and Breadth(b) = 6 m

Area of rectangle = l × b

= 9 × 6

= 54 m2

(b) Length(l) = 17 m and Breadth(b) = 3 m

Area of rectangle = l × b

= 17 × 3

= 51 m2

(c) Length(l) = 4 m and Breadth(b) = 14 m

Area of rectangle = l × b

= 4 × 14

= 56 m2

Therefore, the area of the rectangle with the dimensions 4m and 14m having an area of 56 m2 that is (c) has the largest area whereas, the area of the rectangle with dimensions 17m and 3m having an area of 51 m2 that is (b) has the smallest area.

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Answer:

Step-by-step explanation:

we konw the speed of burn is 1.25 inchs per hour. so, the left candle is

15-1.25t. the answer is L=15-1.25t

the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]

16<x+y<19,60<xy<84,10/7<y/x<12/6,3<y-x<6

smallest with the smallest biggest with the biggest, biggest with smallest, smallest with biggest

The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:

A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The function f(x) is given as follows:

f(x) = 4x + 2.

The parameters are given as follows:

For the function g(x), we have that:

Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.

The graphed function is given by the image presented at the end of the answer.

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Using the Central Limit Theorem for proportions, the correct option is:

E. The statistic is biased.

In plain English, what is the central limit theorem?

According to the central limit theorem, even if a population isn't normally distributed, you may still obtain sufficiently big samples from it and have the samples' means be distributed normally.

What is the central limit theorem and why is it significant?

Because of the Central Limit Theorem, we can confidently assume that the sampling distribution of the mean will be normally distributed in most situations.

                  Since a normal distribution is assumed, we can benefit from statistical methods, as we will see in the section after this one.

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Therefore , the solution of trigonometry function comes out to be tan x tan(4x+18)

When it comes to trigonometry, the relationship between the rectangular line segment and The field is believed to have originated in the 1770s, most likely beginning in the third century through the fusion of astrophysics and mathematical sciences. Numerous mathematical equations and their possible uses in calculations are covered by precise mathematical techniques. The basis of trigonometry are the six basic trigonometric operations.

Here,

tan x tan 4x=1

cos 4X cos X - sin 4x sin x=0

cos 5x=0

5x=(n+1/2)π,n ∈ Z

x=(2n+1)/10 π,0 <x <π

π/10, 3π/10, 5π/10, 7π/10,9π/10 (5π/10 is not possible)

Thus, there are only four solutions.

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​

Answer:

the 2 positive of number is

Step-by-step explanation:

2_:3+23*3⅔+09=2465

The factors of 5x as calculated from the data given is found to be as 5, x and  1 .

On factorizing 5x we can write it as ,

5 x 1 x x .

Therefore the factors are 5 , 1 and x.

There are some integers which are positive and can divide a number completely leaving no remainders. Such integers are known as factors for a number. If we want to get a product by multiplying two numbers , we will have to multiply two factors. Each number is a multiplier of itself.

The prime factor is the factor of a given number that is also a prime number. Factors are numbers that are multiplied together to produce another number.

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Answer: get yio colors straightv

Step-by-step explanation:

The average tuition for two randomly chosen in-state and out-of-state students is around $1,508 less than the mean of $6,348.75.

Mean Deviation

The average deviation from the mean value of the provided data set is determined using the mean deviation, which is defined as a statistical metric.

Given

μS = $6,348.75

σS = $1508.48

The average sum of the tuition fees is $6348.75

As a result, it follows:

The standard deviation of the tuition for in-state students is measured as a difference from 6348.75.

The standard deviation for out-of-state students gauges how their tuition is different from 1508 in total.

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To simplify 3 ratios, divide each part of the ratio with the same amount and keep diving numbers in the ratio until they are as small as possible but they remain as whole numbers.

To simplify or reduce a fraction, first, we need to find a common factor between the ratio numbers. When we have multiple ratio numbers, we must find a common factor between all of them.

The greatest factor between all the ratio numbers (greatest common factor) will be utilised to divide or reduce the ratios down to their lowest form.

For example reduce the ratio 350: 250: 125

The first step is to determine a common factor between all of the ratio numbers. In this example, we can see that all of the numbers end in either 5 or 0. This means that each number should have 5 as a factor.

If numbers are large and we are not sure of the greatest common factor between them all, we can reduce by a common factor and then reduce again.

Now divide each number by 5 and see what we get.

350/5: 225/5: 125/5

70: 45: 25

When we divide each one by 5 again, we can see that each number again ends in 5 or 0 which means that 5 is still a factor of each number.

Now divide each number by 5 again and get a final ratio of 14: 9: 5.

70/5: 45/5: 25/5

14: 9: 5

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We will plot the graph for a LN function by keeping in mind that the domain must be greater than 0.

LN means natural logarithm. LN function denotes natural logarithm function. It has also another name, logarithm of base e.

It is expressed as

y = ㏑x that is the inverse of                            

the natural base exponential function

y = ex

If we have a logarithm function, f(x) = y = ln x

while plotting with the above function, ln x can be found for only the positive value of x and there is no value of ln x for negative values.

The properties of the graph of the LN function are following.

The domain of the LN function is only the real numbers that means x > 0.

The ranges of the LN function are all real number.

The coordinate of x intercept of the LN function is (1, 0).

The graph of LN function will be such that it will never touch the Y axis although it always approaches to it.

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According to probability, if both families want to sit together, they can be seated in a row a maximum of two times.

The direction that each person is facing is crucial when arranging the people.

In order to determine how many ways they can be seated in a row if both families want to sit together, imagine that two families with four members each attend a movie theatre.

Given that the arrangement is important, we will apply the permutation rule. We'll divide the remaining four into two groups of four each.

There are two different ways to arrange the groups so they can sit together.

2! = 2 * 1

2! = 2ways

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Polynomials form a system like to that of integers hence they are closed under the operations of addition and subtraction.

Exponents of polynomials are whole numbers.

Hence the resultant exponents will be whole numbers , addition is closed for whole numbers. As a result, polynomials are closed under addition.

If an operation results in the production of another polynomial, the resulting polynomials will be closed.

The outcome of subtracting two polynomials is a polynomial. They are also closed under subtraction as a result.

The word polynomial is a Greek word. We can refer to a polynomial as having many terms because poly means many and nominal means terms. This article will teach us about polynomial expressions, polynomial types, polynomial degrees, and polynomial properties.

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Answer:

[tex]x = \sqrt{87}[/tex]

Step-by-step explanation:

So, we need to use a bit of an unorthodox method here. We will use the Pythagorean theorem to find x. We will first start by finding out what all of our sides are. In the theorem, it's  [tex]a^{2} + b^{2} = c^{2}[/tex] . We know that the b is x, and the c is 16, but we need to know what a is. a is not 18. We need to find the distance starting at the right triangle. To do that, we must subtract 5 from 18, giving us 13. So, we have:

[tex]13^{2} + x^{2} = 16^{2}[/tex]

Now, we will simplify the equations:

[tex]169 + x^{2} = 256[/tex]

Then, we will subtract 169 from both sides, giving us:

[tex]x^{2} = 87[/tex]

Square rooting both sides gives us:

[tex]x = \sqrt{87}[/tex]

And we cannot simplify further because 87's prime factorization doesn't let it have any ways to get out of the square root.  

Hope this helped

The sprinkler should be set to rotate through  the angle 6.42 degrees.

What is an angle?

Two lines intersect at a location, creating an angle. An "angle" is the term used to describe the width of the "opening" between these two rays. Angles are used in the design of buildings, roadways, and sports venues by engineers and architects.

r =  50 yards

Area, A = 140 square yards

Θ = angle

A= (Θ /360) πr²

140 = (Θ /360) * 3.14 * 50*50

Θ = (140*360)/(3.14*25*100) = 6.42 degrees

The sprinkler should be set to rotate through  the angle 6.42 degrees.

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The answer to all the questions is explained below with justifications.

In statistics, the process of hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The type of data used and the purpose of the study will determine the methodology the analyst uses.

a) The null hypothesis[tex](H_o)[/tex] is that 71.3% or more of American families owned their homes.

The alternative hypothesis[tex](H_1)[/tex]is less than 71.3% of American families owned their homes.

b) The type I error is the null hypothesis is true but we assumed it to be false that is 71.3% or more of American families owned their homes but the council did not provide tax breaks.

The type II error is the null hypothesis is false and we assumed it to be true

that is less than 71.3% of American families owned their homes and the council provides tax breaks.

c) The consequences of the type II error would be the council will provide tax breaks to more people and it would cost them a large amount of money.

d) Type II error is more serious in this context as the council has to lay off a large amount as compared to individual homeowners who already can afford to buy a house.

e) For type I error house owners will be harmed and for type II error counsel will be harmed.

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Answer:

the answer us on the attatched documet

Step-by-step explanation:

can u just give me the brainliest

If each score is doubled, and then 5 is subtracted from that result, then the mean and standard deviation will be 115 and 36 respectively.

A huge group of test results has a mean of 60 and a standard deviation of 18. If each score is doubled and then 5 is deducted from the result, the mean and standard deviation are “ mean = 115; standard deviation = 36”. Mean = 2 x 60 -5 = 120 -5 = 115

2 x 18 = 36 standard deviation

The mean is the average and is calculated as the sum of all the results from the example divided by the total number of events.

The standard deviation (SD) is a statistic used to assess the degree of variation or dispersion in a set of data values.

A low standard deviation indicates that the information points slant toward being near the mean of the set, whereas an exclusive expectation deviation or a high standard deviation indicates that the information points tilt toward being near the mean of the set.

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Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.

A calculation or problem-solving procedure is known as an computation or algorithm. Algorithms serve as a thorough set of instructions that direct hardware- or software-based routines through a sequence of planned actions step by step. In all areas of IT, algorithms are commonly employed.

Here,

If it is impossible to develop an algorithm that reliably returns a true or false result for each input value, the problem is said to be undecidable.

The category of inherently unknowable questions, a subtype of insoluble problems, only includes questions that ought to receive a yes-or-no response .

Thus ,incomputable. is another word for undecidable.

Therefore , the solution of the given problem of algorithm comes out to be incomputable. is another word for undecidable.

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Answer:

2[tex]x^{4}[/tex] + 8[tex]x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex](2[tex]x^{2}[/tex] + 8)  When you are multiplying powers that have the same bases, you add the exponents.

Answer:

x=16/3

Step-by-step explanation:

4=3/4x+0

4=3x/4

4=3x/2square

4times4=16

3x/3=16/3

x=16/3