the margin of error of a confidence interval is the error from biased sampling methods. True or False

The expected frequencies in a chi-square test is can contain fractions or decimal values

What is Chi-Square Test?

When the sample sizes are large, a chi-squared test is a statistical hypothesis test used in the study of contingency tables. To put it another way, the main purpose of this test is to determine if two categorical factors  have independent effects on the test statistic.

What is Expected Frequencies?

A theoretical frequency that we anticipate to show up in an experiment is known as an expected frequency.

Expected frequency = Expected percentage * Total count

The expected frequencies in a chi-square test is can contain fractions or decimal values

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Answer: Neither.

Step-by-step explanation: I believe it's neither because I plotted the given points below and it gave me this for the result:

Hope this helps! :)

Answer:

[tex]f(x) = 32(3x-1)[/tex]

Step-by-step explanation:

I just plugged in values of x into the different functions provided this function check out. Also charge your computer

Answer: m = 4

hope thats right .

Step-by-step explanation:

Answer:

Let

Step-by-step explanation:

Let, (8,12) be (x1 and y1)

(10,20) be (x2 and y2)

We know that,

Slope = y2-y1

-----------.

x2-x1

= 20-12

-----------

10-8

= 8

-------

2

= 4 ans

so, the slope between twoo points is 4

The probability that they will each win a game = 0.24

Given,

The probability that Trevor will win the game p = is 0.6

The formula we will use for calculating Trevor losing the game

⇒ q = 1 - p

Now the probability of Trevor losing the game ⇒ q = 1 - 0.6

= 0.4

Now the probability that Brian wins = 0.4 when Trevor loses and the probability that Trevor wins = 0.6 when Brian loses the game.

Now the four possibilities that will decide the outcome for 2 ping pong games-

Total probability = 0.36 + 0.24 + 0.24 + 0.16

= 1

Therefore, the probability that they each win one of the games = is 0.24

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A kind of evolution through artificial selection is the practice of choosing creatures with desired features over several generations.

The mix of alleles found in an organism is known as its genotype. A phenotype is also the culmination of all the organism's discernible traits. In artificial selection, people choose animals or plants with favored phenotypic features for reproduction.

Since the phenotype is impacted by the genotype, the process of artificial selection alters allele frequencies throughout generations, resulting in the evolution of desirable features in offspring.

In conclusion, a kind of evolution through artificial selection is the practice of selecting creatures with desired qualities over several generations.

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If m∠AOB = (3x − 6)° and m∠BOD = (5x + 14)° in this pizza, the value of x is equal to: B. 21.5.

In Mathematics, a supplementary angle can be defined as two (2) angles or arc whose sum is equal to 180 degrees.

Mathematically, a supplementary angle can be calculated by using this formula:

X + Y = 180

Where:

X and Y are measure of the angles subtended.

Generally speaking, we know that an entire pizza is circular in shape with an angular measure of 360°. This ultimately implies that, one-half of an entire pizza is equal to 180°, which means m∠AOB and m∠BOD are supplementary angles.

Substituting the given parameters into the formula, we have;

m∠AOB + m∠BOD = 180

3x − 6 + 5x + 14 = 180

8x + 8 = 180

8x = 180 - 8

8x = 172

x = 172/8

x = 21.5.

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Answer:

Step-by-step explanation:

B) 21.5

Answer:

y= -9

Step-by-step explanation:

slope intercept form is y=mx+b

m is slope

b is y intercept

slope formula is y2-y1/x2-x1

-9-(-9)/-9-(1)

0/-10

0 is the slope

y=0x+b

-9=0(-9)+b

-9=b

hopes this helps

Answer:

C

Step-by-step explanation:

The value of x is 9°

What do you mean by degree?

A unit of measure is used to measure the magnitude of an angle.

1 degree equals 1/360 of a complete revolution in magnitude.

Given that:

ΔUVW with side UW extended to X

m ∠UVW = (3x + 4)°

m ∠VWX = (8x -12)°

m ∠WUV = (x + 20)°

We know that ,

Sum of angles of triangle = 180°

m ∠UVW + m ∠WUV  + m ∠VWU = 180°

m ∠VWU = 180° - (m ∠UVW + m ∠WUV)

Also we know that sum of angles on a straight line

m ∠VWX and m ∠VWU are supplementary angles

m ∠VWX + m ∠VWU = 180°

m ∠VWU = 180° - m ∠VWX

m ∠VWX = (m ∠UVW + m ∠WUV)

Substituting the given values , we get

(8x -12)° = (3x + 4)° + (x + 20)°

8x - 3x - x = 4 + 20 + 12

           4x = 36

             x = 36/4 = 9

             x = 9°.

Therefore , The value of x is 9°

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337 were senior citizens.

What is the system of equations?

A system of equations, also known as an equation system or a set of simultaneous equations, is a finite set of equations for which common solutions are sought.

Here, we

Let

x = the number of adult tickets sold

y = the number of senior tickets sold

483 people paid admission => a total of 483 tickets were sold and

x + y = 483

the total receipts were $7548

24x + 12y = 7548

by solving the system of equations

x + y = 483....(1)

24x + 12y = 7548....(2)

From equation (1), we get

x = 483-y....(3)

Now, we put the value of x in equation (2) and we get

24(483 - y) +12y = 7548

11592 - 24y + 12y = 7548

12y = 4044

y = 337

Now, we put the value of y in equation (1) and we get

x = 483 - 337

x = 146

Hence, 337 were senior citizens.

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Using percentages we know that the total price of the book that Tommy will pay is $131.04.

In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100.

Although "pct," "pct," and occasionally "pc" are also used as abbreviations, the percent symbol "%" is most usually used to denote it.

A% is a number that has neither dimensions nor a defined unit of measurement.

For instance, if you properly answered 75 out of 100 questions on a test, you would have received a 75% grade (75/100).

So, we know that the price of the book is 180.

Sales tax is 4%. So, the total price:

180/100 * 4 = 7.2$ ⇒ $187.2

Now, there is a 30% discount:

187.2/100 * 30 = $56.16

⇒ 187.2 - 56.16 = $131.04

Therefore, using percentages we know that the total price of the book that Tommy will pay is $131.04.

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At most Josh can invite 14 friends to the party. If he invited that many friends, each will receive 3 granola bars and 4 fruit drinks.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number of granola = 42

Number of fruit drinks = 56

The highest common multiples of 42 and 56.

14 x 3 = 42

14 x 4 = 56

Now,

The number of friends that can be invited is 14.

Where each friend gets an equal number of each item.

Thus,

At most Josh can invite 14 friends to the party.

The number of items each friend received is 3 granola bars and 4 fruit drinks.

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Answer:

Step-by-step explanation:

pemdas - parenthesis , exponet, multiply, divide, add, subtract. your answer is 3.5

Answer:

A

Step-by-step explanation:

we find how many people are every square mile by dividing

397,546/387

1027 people per square mile

Town B: 264,108/261

             1012 people per square mile

1027-1012

15

Town A is bigger by 15 people so A is correct

hopes this helps

The population density of Town A is 15 more than the of Town B so, option A is correct.

It is the basic arithmetic operation, in which you are separating the number into some parts. One of the fundamental mathematical operations is division, which involves breaking a bigger number into smaller groups with the same number of components.

Given:

Town A: 397,546 people within 387 square miles,

Town B: 264,108 people within 261 square miles,

Calculate the density in Town A as shown below,

The density in Town A = Total number of people/total area

The density in Town A = 397546 / 387

The density in Town A = 1027.25

Calculate the density in Town B as shown below,

The density in Town B = Total number of people/total area

The density in Town B = 264108 / 261

The density in Town B = 1011.9

Thus, find the difference as shown below,

The density in Town A - The density in Town B

1027.25 - 1011.9

15.3 or 15

Therefore, the greater population density, is of Town A, by about 15 people per square mile.

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Answer:

Domain: [-3,100] if continuous. {x|x=-3,-2,0,1,4,100} if discrete.

Range: [0,100] if continuous. {y|y=0,10,19,77,100} if discrete.

Step-by-step explanation:

The height, ab, is 6 cm

The volume of the pyramid is 100 cm3.

we know that

ABC is a right triangle and we know that

∠ACB=45°

AC=hypotenuse------ 6√2 cm

sin 45=AB/AC----- AB=AC*sin 45----> AB=6√2*√2/2----> AB=6 cm

AB=6 cm

we already know that the formula for getting the volume of a pyramid

volume of the pyramid=(1/3)*Area of the base*height

We will now Substitute all the values in the formula;

area of the base=50 cm²

height=6 cm

so

volume of the pyramid=(1/3)*50*6---->

1/3*300

300/3

1=00 cm³

volume=100 cm³

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Answer:

6, 100

Step-by-step explanation:

right on edge

Answer: 58 degrees

Step-by-step explanation: add the 2 angles that you know together, then subtract that number from 180. This is using the triangle sum theorem.

Answer:

b is the correct answer

Step-by-step explanation:

92 degree +30 degree +angle 1 = 180 (Since, Sum of angles of triangle is 180 degree)

Therefore, angle 1 is 58 degree .

Working on the perimeter of the hoop, The rotation by the hoop to reach the end of 15 foot is about 1.59.

The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.

The required formula is:

[tex]P = 2\pi r[/tex]

radius = 18 inches = 1.5 foot

Perimeter = 2 * 3.14 * 1.5

=9.42

Number of rotations = 15 / 9.42

=1.59

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Answer:

x=21.

Step-by-step explanation:

x=21.

The theorems used are:

First blank: side-angle-side theorem

Second blank: CPCTC

Third blank: 200 feet

Fourth blank: 1,700 feet.

Wen two triangles have a pair of included congruent angles and two pairs of corresponding congruent sides, then both triangles are congruent to each other by the side-angle-side theorem.

Furthermore, if two triangles are known to be congruent to each other, the CPCTC states that "corresponding parts of corresponding triangles are congruent". This means all angles and all sides that corresponds to each other are congruent.

Therefore:

Using the side-angle-side theorem it can be shown that the two triangles are congruent to each other.

Then using CPCTC , the length of the road from the intersection to the first turn would be 200 feet.

The total length of the tour would be = 2(200 + 300 + 350)

= 1,700 feet.

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Using, SAS it can be shown that the two triangles formed are congruent. Then using ,-CPCTC the length of the road from the intersection to the first turn can be found to be 200 feet. Thus, the total length of the tour is 1,700 feet.

The SAS Triangle Theorem indicates that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

By the use of the corresponding parts of congruent triangles are congruent (CPCTC) rule, we can state that the missing side is 200 feet. If that is the case, then the total distance traveled can be obtained by adding all the lengths of triangles:

=200 + 200 + 300 + 350 + 350 + 300

= 1,700 feet.

Hence, te total length of the tour is 1,700 feet.

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Answer:

x = 5

Step-by-step explanation:

[tex]\frac{45}{27}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

27x = 3 × 45 = 135 ( divide both sides by 27 )

x = 5

Answer:X=5

Step-by-step explanation:

1st. divide the numbers

2nd. Multiply all terms by the same value to eliminate fraction denominators

3rd.Cancel multiplied terms that are in the denominator

4thMove the variable to the left

which gets: x=5

The remainder when the number 464 is divided by 60 is 44.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the number 464 is divided by 60. The remainder will be calculated as,

Divide the number 464 by the basic operation of long division.

60 ) 464 ( 7

      -420

     _______

         44

When 464 is divided by 60, the remainder is 44.

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The approximation of the area of the region R is 182.8125

Given:

y = x^3

from [2,5] using 6 subdivisions

deltax = (5 - 2)/6 = 3/6 = 0.5

hence the subdivisions are:

[2, 2.5]; [2.5, 3]; [3, 3.5]; [3.5, 4]; [4, 3.5]; [4.5, 5]

hence the right endpoints are:

x1 = 2.5; x2 = 3; x3 = 3.5; x4 =4; x5 = 4.5; x6 = 5

now the area is given by:

A = deltax*[2.5^3 + 3^3 + 3.5^3 + 4^3+ 4.5^3 + 5^3]

A = 0.5*365.625

A = 182.8125

The area using the Right Endpoint approximation is 182.8125.

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Answer:

The number of cakes Sophia can make is 10.

Step-by-step explanation:

The bag of flour contains 152 quarter-cup servings. So, the quantity in t he bag has to be divided by four.

Number of cups = 152 / 4 = 38 cups

In order to determine the number of cakes she can make, divide the number of cups in the bag by the cups needed to make one cake.

38 ÷ 3 3/4

38 ÷ 15/4

38 × 4/15 = 10.1 cakes

We can eliminate a variable by adding the two equations, doing that we will find the solution (4, 1.5)

Here we have the following system of equations:

-3x - 8y = -24

3x - 5y = 4.5

To eliminate a variable, we can simply add the two equations and the variable x will be eliminated, let's do that:

(-3x - 8y) + (3x - 5y) = -24 + 4.5

Grouping like terms we get:

(-3x + 3x) + (-8y - 5y) = -19.5

0 - 13y = -19.5

Now we can solve this for y:

y = -19.5/-13 = 19.5/13 = 1.5

To get the value of x, we need to replace the value of y in one of the equations:

-3x - 8*(1.5) = -24

-3x = -24 + 8*1.5

-3x = -12

x = -12/-3 = 4

The solution is (4, 1.5)

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Answer:

4*2=8

8+1=9

Step-by-step explanation:

Answer: 42

Step-by-step explanation:

The shortest total length of the fence is 808 m.

What is a rectangle?

A rectangle is a quadrilateral with all four interior angles 90°.

Given that the area of the rectangular field is 800 m².

Let the length and the width of the rectangle be x and y.

Then, the area of the rectangle is:

A= xy

Or, xy = 800

x = 800/y     (1)

The perimeter of the triangle is:

2x +2y

Since the triangle is divided into three equal parts by fence, the total length of the fence is equal to the sum of the perimeter of the triangle and two times the length or width of the triangle.

Therefore, the total length of the fence is:

L = 2x + 2y + 2x

L = 4x +2y

Substitute x = 800/y into the above equation:

L = 4(800/y) + 2y

L = 3200/y +2y         (2)

Differentiate the equation with respect to y:

L' = -3200/y² +2

Substitute L'= 0 into the above equation:

0 = -3200/y² + 2

y² = 3200/2

y² = 1600

y = 400

Substitute y = 400 into equation (2):

L = 3200/400 + 2(400)

L = 8 + 800

L = 808

Hence, the shortest total length of the fence is 808 m.

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If X is a normally distributed random variable and X ~ N(μ, σ), then the z-score is:                              z = x−μ/ σ

The z-score indicates the number of standard deviations that the value x is above (right) or below (left) the mean μ. Values ​​of x greater than the mean have positive z values, and values ​​of x less than the mean have negative z values. The z-score of x is zero if x is equal to the mean.

The standard normal distribution is the normal distribution of standardized values ​​called z-scores. Z-scores are measured in units of standard deviation. For example, if the normal distribution has a mean of 5 and a standard deviation of 2, then the value 11 is 3 standard deviations above (or to the right of) the mean. Here's the calculation:

                      x = μ + (z)(σ)  

                         = 5 + (3)(2)

                         = 11

The standard normal distribution has zero mean and one standard deviation. The transformation

                                    z= x − μ/σ

gives the distribution Z ~ N(0, 1). The value x comes from a normal distribution with mean μ and standard deviation σ.

The next two videos explain what it means to have a "normal" distributed data set.

If X is a random variable and follows a normal distribution with mean µ and standard deviation σ, the rule of thumb states within 1 standard deviation of the mean.

About 95% of the x-values ​​lie between –2σ and +2σ of the mean µ (within two standard deviations of the mean).

About 99.7% of the x-values ​​lie between –3σ and +3σ of the mean μ (within 3 standard deviations of the mean) .

Almost all x-values ​​are within 3 standard deviations of the mean.

1) +1σ and -1σ have z-scores of +1 and -1 respectively.

2) +2σ and -2σ have Z-scores of +2 and -2 respectively.

3) +3σ and -3σ have Z-scores of +3 and -3 respectively.

The rule of thumb is also known as the 68-95-99.7 rule.

The exact value used to calculate the median; further decreasing the minimum value or increasing the maximum value will not change the median value. Therefore, the median does not use all the information in the data and is therefore shown to be less efficient than the mean or average, which uses all the values ​​in the data. To calculate the average, add the observations and divide by that number.

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