Refer to the accompanying data set and use the 30 screw lengths to construct a frequency distribution. Begin with a
lower class limit of 0.720 in., and use a class width of 0.010 in. The screws were labeled as having a length of 3/4 in.
Click on icon to view the data

The correct answer is

d) 4:16

Area and Perimeter of Similar Polygons:

Polygons are said to be similar when their corresponding angles are equal and their corresponding sides are in the same proportion. The perimeters and areas of identical polygons have a unique relationship, just as their corresponding sides do.

Perimeters: The scale factor and the perimeters ratios of perimeters are similar. In reality, the scale factor is identical to any ratio between any two similar forms (diagonals, medians, midsegments, altitudes, etc.).

Areas: If the scale factor of the sides of two similar polygons is [tex]\frac{m}{n}[/tex]

, then the ratio of the areas is [tex](\frac{m}{n} )^{2}[/tex].

(Area of Similar Polygons Theorem). Because area is a two-dimensional quantity, you square the ratio.

It is given that ,

the ratio of perimeters of two similar quadrilateral is 2:4.

now,

to find the ratio of area , we can take two quadrilaterals, say square.

Square ABCD of side 2 units and Square PQRS of side 4 units.

now ratio of areas,

[tex]=\frac{area of square ABCD}{area of square PQRS} \\\\=\frac{2*2}{4*4} \\\\=\frac{4}{16}[/tex]

If the given ratio of perimeters can be further solved as 1:2, then we can see that the ratio of areas can also be further solved as 1:4.

To know more about perimeter, visit:

https://brainly.com/question/6465134

#SPJ1

The number of text messages all of the teenagers in the United States send each month is 17600 million.

In mathematics, an integer is a grouping comprising both positive and negative numbers. Integers are similar to whole numbers in that they do not include the fractional portion. Integers are thus numbers that can be positive, negative, or zero but not fractions. All mathematical operations, including addition, subtraction, multiplication, and division, can be carried out on integers.

Given that,

Number of teenagers = 22 million

Text sent on average = 800

Total messages sent = (22)(800) = 17600 million

Hence, the number of text messages all of the teenagers in the United States send each month is 17600 million.

Learn more about integers here:

https://brainly.com/question/1768255

#SPJ1

Answer:B

Step-by-step explanation:

Answer:

Step-by-step explanation

D

because V = 1/3Hxr

                              ^

                             pie

so 1/3(5)pie(1.75)

1.75 is from the diameter 1/2 which makes 1.75 the radius

Answer:

563

Step-by-step explanation:

Answer:

22 feet

Step-by-step explanation:

As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:

Therefore:

Draw a diagram using the given information (see attachment).

From the diagram, we can see that the flagpole and the person are parallel.  Therefore, the two triangles are similar.

In similar triangles, corresponding sides are always in the same ratio.

Therefore, set up a ratio of height to shadow length and solve for h:

[tex]\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow[/tex]

[tex]\implies \sf h:168=66:42[/tex]

[tex]\implies \sf \dfrac{h}{168}=\dfrac{66}{42}[/tex]

[tex]\implies \sf h=\dfrac{66}{42} \cdot 168[/tex]

[tex]\implies \sf h=\dfrac{11088}{42}[/tex]

[tex]\implies \sf h=264\;inches[/tex]

Convert the height into feet by dividing by 12:

[tex]\implies \sf h=\dfrac{264}{12}=22\;feet[/tex]

Therefore, the height of the flagpole is 22 feet.

Answer:8.64

Step-by-step explanation:

Answer:

8,64

Step-by-step explanation:

[tex]\frac{18}{100}[/tex]*48=8,64

A valid inference about the data of Video Games Play Time among students is A). 50% of students spend 2- or 3 hours playing video games.

An inference is an evidence-based conclusion.

Inferences are reached when the necessary facts are available, and the researcher has done some calculations and reasoning using the facts.

Video Games Play Time

Hours Played     Number of Students

0                                        2

1                                         4

2                                        6

3                                        8

4                                        5

5 or more hours               3

Total number of students 28

Number of students = 14 (6 + 8)

14/28 - 50%

50% = 50%

Number of students = 8 (5 + 3)

8/28 = 28.6%

28.6% > 10%

Number of students = 10 (4 + 6)

10/28 = 35.7%

35.7% > 10%

Number of students = 13 (8 + 5)

13/28 = 46.3%

46.3% ≠ 50%

Learn more about making valid inferences at https://brainly.com/question/1611703.

#SPJ1

Video Games Play Time

Hours Played     Number of Students

0                                        2

1                                         4

2                                        6

3                                        8

4                                        5

5 or more hours               3

Total number of students 28

A). 50% of students spend 2- or 3 hours playing video games.

B). Less than 10% of the students spend 4 or more hours playing video games.

C). Less than 10% of the students spend 1- or 2 hours playing video games.

D). More than 50% of the students spend 3- or 4 hours playing video games.

Answer:

B)32000

Step-by-step explanation:

Out of 300, 172 are in favor, and 142/300 is simplfieid as 43/75

43/75 is equal to 43,000/75000

Subtract 75000 by 43000

The difference is 32,000.

32,000 voters are against the Issue.

Answer:

(2,4)

Step-by-step explanation:

The length of side LH is given as follows:

LH = 7 cm.

A translation happens when either a figure or a function are moved horizontally or vertically.

This is relevant because the side lengths remain constant.

The equivalent side to side LH is given as follows:

WZ = 7 cm.

Hence the length of side LH is given as follows:

LH = 7 cm.

More can be learned about translation at https://brainly.com/question/29209050

#SPJ1

No, since interval contains 0, thus the difference between boys and girls is not significant.

This can be solved using the concept of standard deviation.

Data dispersion in regard to the mean is quantified by a standard deviation, or "σ". Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high.

Because it makes measures easier to comprehend when the data is spread, standard deviation is significant. The data's standard deviation will increase as the data's distribution becomes more widely scattered.

We have given,

n₁ = 200,    n₂ = 150

x₁ = 48.4     x₂ = 48.9

s₁ = 12.96    s₂ = 11.85

95% confidence interval for difference of mean scores of boys and girls

since, n₁ and n₂ are very large therefore we may use standard normal variate , thus 95% CI is given by:

x₁ - x₂ ± 2μ₂ √(s₁²/n₁ + s₂²/n₂)

now, 2μ₂ = 1.96

∴ CI = (48.4 - 48.9) ± 1.96 √(12.96)²/ 200 + (11.85)²/150

or, CI = (-3.119, 2.1119)

no, since interval contains 0, thus the difference between boys and girls is not significant.

To know more about standard deviation refer to:

https://brainly.com/question/475676

#SPJ1

The domain of f(x) is equal to the range of inverse function g(x).

What are inverse functions?

A function from a set X to a set Y in mathematics assigns each element of X the exact same number of elements from Y. A function's inverse function reverses the action of a function or f. If and only if the function is bijective, the inverse of f is true.

Given two functions f(x) and g(x).

It is also said that g(x) is the inverse of f(x).

One of the properties of inverse functions is that only one-to-one functions are inverse. If g is equal to f's inverse, then f is equal to g's inverse.

Both f and g are one-to-one functions if they are the inverses of one another.

f and g are inverses of each other if (fog)(x) = x, x ∈ the domain of g.

The range of g equals the domain of f, and the domain of f equals the range of g.

Therefore the domain of f(x) is equal to the range of inverse function g(x).

To learn more about inverse functions, follow the link.

https://brainly.com/question/3831584

#SPJ1

The following statements are true:

A:The car makes a complete revolution in 10 seconds

B:The maximum height of the Ferris wheel is 65 feet

A full rotation or turning around a focal point is referred to as a revolution. Revolution is the act of rotating around a fixed point or axis . Examples of this include the rotation of a planet around its star or a wheel around its axle.

A. The car makes a complete revolution in 10 seconds:

This can be deduced from the fact that the height of the Ferris wheel car returns to 35 feet after 10 seconds, which means that it has completed one full revolution.

B. The maximum height of the Ferris wheel is 65 feet:

This can be seen from the table, where the height of the Ferris wheel car reaches 65 feet at 2.5 seconds and 12.5 seconds.

C. If the car is loaded at 0 seconds, then the people are loaded at the lowest point of the Ferris wheel: This can be seen from the table, where the height of the Ferris wheel car is 35 feet at 0 seconds.

It is not possible to determine the radius of the Ferris wheel based on the given information alone.

To know more about revolution check:

https://brainly.com/question/14121738

#SPJ1

The volume of the rectangular sandwich box of Austin is given by the equation V = 468 cm³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular box be represented as V

Now , the equation will be

The length of the sandwich box = 13 cm

The width of the sandwich box = 12 cm

The height of the sandwich box = 3 cm

And , volume of the rectangular box V = Length x Width x Height

Substituting the values in the equation , we get

Volume of the rectangular box V = 13 x 12 x 3

On simplifying the equation , we get

Volume of the rectangular box V = 468 cm³

Hence , the volume of rectangular box is 468 cm³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ9

The zeros of the polynomial function f(x) are:

x = -1, -3/2, -2 + i/2, -2 - i/2

To find the complex zeros of the given polynomial function f(x), we can use the fact that every polynomial with complex coefficients has at least one complex zero.

First, we can use the Rational Zeros Theorem to find any rational zeros. The possible rational zeros are of the form p/q, where p is a factor of the constant term 45 and q is a factor of the leading coefficient 2. Therefore, the possible rational zeros are ±1, ±3/2, ±5, ±9/2, ±15, and ±45/2. We can test each of these values using synthetic division or long division to see if they are actually zeros of the polynomial.

Using long division, we find that x=−1 and x=−3/2 are zeros of the polynomial. Therefore, we can factor out (x+1) and (x+3/2) from the polynomial to get:

f(x) = (x+1)(x+3/2)(2x^3+8x^2+14x+30)

Next, we can use the quadratic formula to find the zeros of the cubic factor 2x^3+8x^2+14x+30. The quadratic formula gives:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 2, b = 8, and c = 15. Plugging in these values, we get:

x = (-8 ± sqrt(8^2 - 4(2)(15))) / 4

= (-8 ± 2i) / 4

= -2 ± i/2

These are the exact values of the complex zeros of the polynomial function.

For more such questions on quadratic equations

https://brainly.com/question/1214333

#SPJ4

Answer:

Step-by-step explanation:

heyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answer:

Step-by-step explanation:

Straight line= 180 degrees

|_= 90 degrees

180-90=90

3s-2=52

2s+2=38

52+38=90

s=18

The system of equations can be written as a matrix and then used to solve for the variables x, y, and z.

The augmented matrix of the system is:

-3 -2  1 | -8

0  4 -2 | -8

0  0  7 | 26

We can use row operations to find the row reduced echelon form of the matrix, which will give us the solutions to the system.

Starting with the first row:

1. Multiply row 1 by -3 to get a leading 1 in the first column:

3  6 -3 | 24

0  4 -2 | -8

0  0  7 | 26

2. Add row 1 to row 2:

3  6 -3 | 24

0  4  0 | 16

0  0  7 | 26

3. Add 3 times row 1 to row 3:

3  6 -3 | 24

0  4  0 | 16

0  0  7 | 26

The row reduced echelon form of the matrix is:

1  2 -1 | 8

0  1  0 | 4

0  0  1 | 9

From this, we can see that the solutions to the system are:

x = 8 - 2y

y = 4

z = 9

So the system has a unique solution: x = 8 - 2y = 8 - 2 * 4 = 0, y = 4, z = 9.

Answer:

cost of couch: $846

cost of coffee table: $282

Step-by-step explanation:

The correct answer is that the probability is 2/3. To see why, we can count the number of codes that do not have D in the first position, which is 6 (two options for the first position, and three options for the second position).

The size of the sample space is 4 options for the letter, 2 options for the first number, and 1 option for the second number, giving a total of 4x2x1=8 possible codes. To calculate the probability that a code has a letter that immediately follows an odd number, we first need to count the number of codes that meet this condition. There are two odd numbers to choose from (5 and 6), and two letters that can immediately follow an odd number (B and D). For each odd number, there is only one even number that can come before it, so there are 2x1x2=4 possible codes that meet this condition. Therefore, the probability that a randomly chosen code has a letter that immediately follows an odd number is 4/8, which simplifies to 1/2, or 0.5. To calculate the probability that D is in the code but is not in the first position, we need to count the number of codes that meet this condition. There are two places that D could appear (second or third), and three options for the first position (A, B, or C). Once the first position is chosen, there are two options for the remaining number (5 or 6). Therefore, there are 2x3x2=12 possible codes that meet this condition. The total number of possible codes is 8, so the probability that a randomly chosen code has D but not in the first position is 12/8, which simplifies to 3/2, or 1.5. However, probabilities must always be between 0 and 1, so this answer is not valid.

The correct answer is that the probability is 2/3. To see why, we can count the number of codes that do not have D in the first position, which is 6 (two options for the first position, and three options for the second

position). Of these 6 codes, 4 have D in the second position, and 2 have D in the third position. Therefore, the probability that a randomly chosen code has D but not in the first position is (4+2)/8, which simplifies to 2/3.

To know more about probability  click here:

brainly.com/question/30034780

#SPJ4

Answer:

x=10.

Step-by-step explanation:

4x = 3x + 10

4x - 3x = 10

x = 10

Answer: 6.7

Step-by-step explanation: 7^2-2^2=45

square 45 =6.7

Answer:

there will be 1 min added

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number is 24/36 = 2/3

The two events are mutually exclusive

"Information available from the question"

Stacy rolls a pair of six-sided fair dice.

Now, According to the question:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favorable outcomes  of either a multiple of 3 or an even number are:-

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

Probability = Number of fav. outcomes/ Total no. of outcomes

The probability that the sum of the numbers rolled is either a multiple of 3 or an even number will be given by counting the numbers that are either even or multiples of 3 and then dividing by the number of possible outcomes, 36.

In our case this will be;

24/36 = 2/3

Learn more about Probability at:

https://brainly.com/question/11234923

#SPJ4

Answer:

a. The number of ounces of oat flakes in the box is 15 ounces - a ounces, or 15 - a ounces.

b. The cost of the almonds (in cents) is 30 cents * a ounces, or 30a cents.

c. The cost of the oat flakes (in cents) is 15 cents * (15 - a) ounces, or 15 * (15 - a) cents.

d. The total cost of a box of Almond Oats (in cents) is the cost of the almonds plus the cost of the oat flakes, or 30a + 15 * (15 - a) cents.

The equation of the straight line is 2x+5y=340.

The x-intercept point of that line is (170,0).

A straight line has different forms like point-slope form, standard form, slope-intercept form, and others. A specific form is used according to the given data for convenience.

here, we have,

As f(-10)=64 and f(15)=54, two points can be wriiten as (x₁,y₁)=(-10,64) and (x₂,y₂)=(15,54).

Now, use the two-point form of the equation of a line.

(y-y₁)/(x-x₁)=(y₂-y₁)/(x₂-x₁)

(y-64)/(x-(-10))=(54-64)/(15-(-10))

(y-64)/(x-10)=-10/25

25(y-64)=-10(x-10)

5(y-64)=-2(x-10)

5y-320=-2x+20

2x+5y=340

Therefore, the required equation of the line is 2x+5y=340.

To find the x-intercept, substitute y=0 into the equation of the line.

2x+5×0=340

2x=340

x=170

Therefore, the x-intercept point is (170,0).

To learn more about the two-point form of a line visit this link

brainly.com/question/18894159

#SPJ9

The amount of interest paid will be $396.6.

The simple interest is the simple amount paid by the borrower to the bank according to the percentage set by the bank for per year which is a fixed interest rate.

Given that Margo takes out a $600 loan with a 10-month repayment period and a 2% yearly interest rate.

The simple interest will be calculated as:-

SI = ( P x R x T ) / 100

SI = ( 1100 x 9 x 4 ) / 100

SI = 39600 / 100

SI = $396

Therefore, $396 will be paid in interest.

To know more about simple interests follow

https://brainly.com/question/25793394

#SPJ9

It is given that:

20% of the students earned an A in STA 2023.

12% of the students didn't bring their phones to class.

85% of the students who didn't bring their phones to class earned an A.

To answer the following questions, we assume whether all students took STA 2023 and brought their phones to class or not.

a) Let's assume that x% of the students earned an A and brought their phones to class. Then, since the remaining (100% - 12%) = 88% of students brought their phone to class but their grade is not specified, we can set up the following equation:

x% + 85% of 12% = 20%

x% + 0.102 = 0.20

x% = 0.098

Therefore, 9.8% of students earned an A and brought their phones to class.

b) Let's assume that y% of the students didn't earn an A and didn't bring their phones to class. Then, we can set up the following system of equations:

x% + y% = 100% - 12%

0.85*(12%) = y%

Solving for y, we get:

y% = 9.6%

Therefore, 9.6% of students didn't earn an A and didn't bring their phones to class.

STA 2023 is a course code used by some colleges and universities to refer to an introductory course in statistics. The course usually covers topics such as descriptive statistics, probability theory, statistical inference, hypothesis testing, and regression analysis. STA 2023 is often a required course for students majoring in fields such as social sciences, business, and health sciences, as well as for students pursuing degrees in mathematics or statistics. The specific content and level of difficulty of STA 2023 may vary depending on the institution and the instructor.

To know more about probability theory visit:

https://brainly.com/question/1459420

#SPJ1

The equation of the inner boundary of the circular walkway around the monument is x² + y² = 900.

The equation of the outer boundary of the circular walkway around the monument is x² + y² = 1369.

A circle is a conic section whenever the plane cuts the cone parallel to its base. Every point of the circumference lies at the same distance from its center. The equation of a circle is (x-h)² + (y-k)² = r², where (h, k) is the center and r is the radius.

a.

According to the diagram, the radius of the inner boundary is 30 feet and the center is (0, 0).

Substitute h = 0, k = 0, and r = 30 into the equation of circle (x-h)² + (y-k)² = r².

(x-0)² + (y-0)² = 30²

x² + y² = 900

Therefore, the obtained answer is x² + y² = 900.

b.

According to the diagram, the radius of the outer boundary is 37 feet (30 feet + 7 feet) and the center is (0, 0).

Substitute h = 0, k = 0, and r = 37 into the equation of circle (x-h)² + (y-k)² = r².

(x-0)² + (y-0)² = 37²

x² + y² = 1369

Therefore, the obtained answer is x² + y² = 1369.

To learn more about the equation of a circle visit this link

https://brainly.com/question/16014416

#SPJ9

The complete question is mentioned in the image below.