Diana recorded the total number of people living in each of the homes of 8 classmates. Which of the following values could be the median of those 8 numbers?
I. 0.0
II. 3.0
III. 4.5

Graph of f(x) = 3x - sin 4x is using method of adding y-coordinates is attached below.

What is graphing method by adding ordinates?

The function y = 3x - sin 4x is actually the sum of two functions, y = 3x and y = - sin 4x.

For every value in the domain, there is a corresponding value in the range so that the point (x, 3x - sin 4x) is on the graph of y = 3x - sin 4x.

According to the given question:

Follow these steps to graphing the function:

1. Open an Excel file. Label the first column "x-coordinates," the second column "y = 3x," the third column "y = -sin 4x," and the fourth column "y = 3x - sin 4x." Set each column to round to four decimal places.

2. Set up the first column to range from -2pi to 2pi by intervals of pi/4.

3. Fill in the second and third columns by utilizing the equations y = 3x and y = - sin 4x, respectively.

4. Fill in the fourth column by simply adding the second and third columns.

5. Graph y = 3x - sin 4x  by using the x-coordinates from column A and the y-coordinates from column D.

Check the attachment below for the required graph obtained after plotting the points.

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Answer:

it should be the first one, if not it’s the third

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Let the price of drinks be x and the price of candies be y.

9x + 4y = 60 --------------------(1)

10x + 2y = 57.50 --------------(2)

2(10x + 2y) = 57.50*2

20x + 4y = 115 --------------(3)

9x + 4y - 20x - 4y = 60 - 115

9x - 20x = -55

-11x = -55

11x = 55

x = 55/11

Put x = 5 in Eq. (1)

9(5) + 4y = 60

45 + 4y = 60

4y = 60 - 45

4y = 15

y = 15/4

So, the cost of one drink is $5 and the cost of one candy is $3.75.

[tex]\rule[225]{225}{2}[/tex]

In regression analysis, there is one dependent variable and there can be one or more independent variables among which a relationship has to be established.

Given that;

Regression analysis is a statistical procedure for developing a mathematical equation that describes;

Finding the variables that have an effect on an interest issue can be done with accuracy using regression analysis. You can confidently establish which elements are most important, which ones can be ignored, and how these factors interact when you do a regression. You must specify a dependent variable that you believe is influenced by one or more independent variables before you can do a regression analysis.

The next step is to create an extensive dataset to work with. A great technique to create this dataset is by sending surveys to your target audiences. Questions covering each of the independent variables in which you are interested should be included in your survey.

Hence, Regression analysis requires establishing a link between one or more independent variables and one dependent variable.

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use desmos graphing calcu

Answer:

100

Step-by-step explanation:

2000*5 = 10000/100 = 100

The Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ: π > 0.79

Statistic Z = -26.38

P-value = 0

Conclusion : The null hypothesis is

rejected .

Final Conclusion : which implies that population proportion is different from

π= 0.79.. This sample proportion can notbe product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

We have problem of proportion and we have to apply hypothesis testing in it .

We claim that the selection is biased against allowing this ethnicity to sit on the grand jury. This means that proportion of people of enthic selected for jeury in a way below from proportion that eligible for jury .

Null and Alternative hypothesis are

Hₒ: π= 0.79

Hₐ : π> 0.79

The significance level is 0.01

The sample we will use is total of 876 people that were selected for grand jury duty (n= 876). 42% of them were entnicity for which we are testing , so sample proportion is p= 0.42

The standard error is

σₚ= s√ (π(1-π)/n)= √ 0.79 (1-0.79)/ 876 = √0.00019 = 0.0137~ 0.014

Then we can calculate Z – value

Z = (p-π+0.5/n)/ σₚ =( 0.42 – 0.79 + 0.5/876 )/ 0.014 = - 0.03964/0.014 = - 26.387

P-value for this test statistic is 0

P-value (z<-26.38)= 0

P-value = 0 < 0.01

As we see that P-value is less lower then significance level . This sample result is unpredictable. The null hypothesis is rejected which implies that population proportion is different from π= 0.79

This sample proportion can not be product of chance.

There is enough evidence to support to the claim that selection of people is biased against allowing this ethnicity to sit on the grand jury.

#Complete Question:

In a recent court case it was found that during a period of 11 years 876 people were selected for grand jury duty and 42% of them were from the same ethnicity. Among the people eligible for grand jury duty, 79.5% were of this ethnicity. Use a 0.01 significance level to test the claim that the selection process is biased against allowing this ethnicity to sit on the grand jury. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution. Which of the following is the hypothesis test to be conducted?

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The 12 months past and the fruit turned into sonic the hedge hog #PERIODAHHPERIODUHH

Answer:

try -1 it's easier to get the question answered so it can be turned in

Answer:

Clara ate 2/15

Step-by-step explanation:

1/5 equals 3/15

The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.

Given that,

Jake sold 49 tickets while jeans sold 12 for the school.

In simplest form the ratio of the given case will be;

Simplest form:

A fraction is a number that falls between the whole numbers but is not a whole number. It belongs to the entire. A fraction also consists of a denominator and a numerator. We obtain the fraction in its simplest form when both the numerator and denominator can no longer be independently reduced to any smaller integer.

The ratio we get;

→ 12/49

The ratio in simplest form, of the number of tickets jeans sold to the number of tickets jake sold is 12/49.

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Step-by-step explanation:

The total weekly profit p, in dollars, from producing and selling x units of a certain product is given by the function p(x) = 225x-(165x+c), where c is a constant. If 75 units were produced and sold last week for a profit of $3,365, what is the value of c?

$3,365 = 225(75) - (165(75) + c)

$3,365 = 16,875 - 165(75) - c

$3,365 = 16,875 - 12,375 - c

$3,365 = 4,500 - c

=1,135 =  - c

c = 1,135

Since random sampling is representative of the entire group, conclusions about the population can be drawn from it. Since random assignment reduces variability, conclusions about cause and effect are possible.

Random sampling is a sampling method where each sample has an equal chance of being chosen. It is the goal of a randomly chosen sample to fairly represent the entire population. A straightforward random sample might be 25 names chosen at random from a pool of 250 employees. The sample in this case is random, and the population in this case is the entire pool of 250 employees because each employee has an equal chance of being chosen.

Cause and effect can only be proven with absolute certainty through an experimental study utilizing random assignment. In a study with random assignment, for example, the experimental group receives the medication while the control group does not in order to see if the drug cures the patient.

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Answer: x = 25/6

Step-by-step explanation: yes

Answer: x=25/6

Step-by-step explanation:

combine multiplied terms into 1 fraction

5/2*+1/2x=9+7/2

5x/2+1/2x=9+7/2

combine

5x/2+1/2x=9+7/2

5x/2+1x/2=9+7/2

multiply by 1

5x/2+1x/2=9+7/2

5x/2+x/2=9+7/2

It is also called as Random  Sample experiment.

Hence, it is an random experiment.

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Answer:

6

Step-by-step explanation:

slope = m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

put values and find answer:

[tex]=\frac{14+4}{-1+4}[/tex]

=  [tex]\frac{18}{3}[/tex]

=  [tex]6[/tex]

The value of function is positive so the function have maximum value 30 at x=3.

In the given question we have to find the maximum or the minimum value of a function.

The given function is

f(x) = -3x^2+18x+3

To find the maximum or minimum value we firstly find the value of f'(x).

f'(x) = -6x+18

Now put f'(x)=0

-6x+18=0

Subtract 18 on both side we get

-6x=-18

Divide by -6 on both side we get

x = 3

Now finding the value of function at x=3

f(3)= -3*(3)^2+18*3+3

f(3)= -3*9+54+3

f(3)= -27+54+3

f(3)= 30

Since the value of function is positive so the function have maximum value 30 at x=3.

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Answer:

The correct answer is D because Option A won't work neither will option B because a long credit history will help ur credit score, C isn't right either

The values of y and x is 117 degrees and 28 degrees.

Given:

o ll m

Let angle beside 63 is a.

63 + <a = 180

<a = 180 - 63

<a = 117 degrees.

y = 117 degrees (since alternate interior angles are equal)

y = 4x + 5(vertically opposite angles are equal)

117 - 5 = 4x

4x = 112

divide by 4 on both sides

x = 112/4

x = 28 degrees.

Therefore the values of y and x is 117 degrees and 28 degrees.

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The expression (11^(-9))³, as a single power of 11, using the power of power exponential property, is given as follows:

11^(-27).

The power of power exponential property is used when a base is elevated to multiple exponents. Then the number can be written as a single power of the base multiplying the exponents.

The general format of this property is:

(a^b)^c = a^(b x c).

In which the base and the exponents are given as follows:

In this problem, the expression is:

(11^(-9))³

The multiplication of the exponents is:

-9 x 3 = 27.

Hence the expression as a single power of 11 is given as follows:

11^(-27).

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a) The value of x is -6

b) The value of the expression is -3 .

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

a) x-2=xy+16

y= 4 a solution to the equation

Substitute y=4 into the equation.

x-2=x(4)+16

x-2=4x+16

-2-16=4x-x=3x

-18=3x

x=- 18/3= -6

The value of x is -6

b)  [tex]x^y+xy^2[/tex]

substitute x= -3 and y =2

(-3)²+(-3)(2)²

= 9 - 12

= -3

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An area 825 by 550 ft gives max area for $6600.

acc to our question-

hence, 3300 + 3300 = $6600

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Answer:

A) m > -13

Step-by-step explanation:

[tex]-112-14m < 70\\-14m < 70+112\\-14m < 182[/tex]

[tex]\frac{-14m}{-14} < \frac{182}{-14}[/tex]

[tex]m > -13[/tex]

Hope this helps

While walking from one corner to the opposite corner in a straight line, the bug visits 19 tiles including the first and the last tile.

A rectangle is a four-right-angle quadrilateral. A rectangle is a four-right-angle quadrilateral.. Because all of its angles are equal (360°/4 = 90°), it is also known as an equiangular quadrilateral or a parallelogram with a right angle. A non-square rectangle is sometimes referred to as an oblong.

A rectangle is a rectilinear polygon, meaning its sides intersect at right angles.

Five independent degrees of freedom define a rectangle in the plane.

The bug visits 1 tile multiplied by the number of times it crosses a horizontal or vertical line.

It has to cross nine horizontal and nine vertical lines. That bug must pay a visit.

9+9+1=19 tiles

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A quadrilateral is a polygon with four sides, the length of BC for the given quadrilateral will be 8.1.

A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.

In other meaning, a quadrilateral is a kind of polygon in which four sides, for example, rectangle, square, and parallelogram are quadrilateral.

As per the give quadrilateral,

In triangle ACD.

Apply Pythagoras' theorem,

BD = √(5²+7.5²) = 9.0123

In triangle BDC by cosine law,

Cos38° = ((DB)²+(DC)² - (BC)²)/(2×DB×DC)

Cos38° = (9.0123²+13²- (BC)²)/(2×9.0123×13)

Cos38° = (250.25- (BC)²)/(234.32)

(250.25- (BC)²) = 184.646

(BC)² = 65.60

BC = 8.1

Hence, "A quadrilateral is a polygon with four sides, the length of BC for the given quadrilateral will be 8.1".

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Complete question attached below ;

Now we have to,

→ find the required value of b.

Formula we use,

→ (AC)² = (BC)² + (AB)²

Then the value of b will be,

→ (10)² = b² + (6)²

→ 100 = b² + 36

→ b² = 100 - 36

→ b = √64

→ [ b = 8 ft ]

Hence, value of b is 8 ft.

The equation of line with undefined slope and passes through the point

(1/2, 5) will be;

⇒ x = 1/2

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point = (1/2 , 5)

And, The slope = undefined

Now,

Since, We know that;

The equation of line with undefined slope and passes through the point will be;

⇒ x = a

Where, 'a' is the x - intercept.

Here, The point = (1/2 , 5)

The slope = undefined

And, The x - intercept = 1/2

So, The equation of line with undefined slope and passes through the point (1/2, 5) will be;

⇒ x = 1/2

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⇒ [tex]=5-(x)-(-4)\\=5-x+4\\=-x+5+4\\=-x+9[/tex]

⇒Note the negative sign has to multiply every term in the brackets!

Option A is the answer