HEEEEEEEEELP IM TIMED!!! Which is the largest ratio? StartFraction 5 Over 36 EndFraction, 2:9, 3 to 18, 1:3 StartFraction 5 Over 36 EndFraction 2:9 3 to 18 1:3

The approximate length of the radius, r is 4.51 cm. SO the option 1 is correct.

In the given question we have to find the approximate length of the radius, r.

As given, circle O has a circumference of approximately 28.3 cm.

The calculation of the circle's boundary is referred as the perimeter or circumference of the circle. Although the circumference of the circle determines the space it occupies.

The circumference of a circle is its length when it's actually opened and represented as a single direction. Units like cm or unit m are typically used to measure it.

As we know that the formula of circumference of circle = 2πr

As circumference of circle = 28.3 cm

So 2πr = 28.3 cm

Divide by 2π on both side, we get

r = 14.15/π

π = 3.14

So r = 14.15/3.14

r = 4.51 cm

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The complete question is:

Circle O has a circumference of approximately 28.3 cm.

What is the approximate length of the radius, r?

a. 4.5 cm

b. 9.0 cm

c. 14.2 cm

d. 28.3 cm

The approximate length of the radius, r, is 4.5 cm.

The formula for calculating the radius, r, of a circle is r = C/2π, where C is the circumference of the circle. In order to calculate the approximate length of the radius, we must first calculate the circumference.

Let's assume that the circumference of the circle is 28.3 cm. To calculate the circumference, we can use the formula C = 2πr. We know the circumference and want to solve for the radius, so we can rearrange the formula to solve for r: r = C/2π.

Plugging in our values, we can calculate the approximate length of the radius: r = 28.3 cm/2π = 4.5 cm. Therefore, the approximate length of the radius, r, is 4.5 cm.

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Answer: 48 dimes, 15 quarter

Step-by-step explanation:

Given

The money is of the net worth of \(\$8.55\)

If there is total of 63 coins

Suppose there are \(x\) dimes and \(y\) quarter

\(\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)\)

Solve (i) and (ii)

\(x=48,y=15\)

Thus, there are 48 dimes and 15 quarters

The right answer is option D. 36−180/√(0.45/80 + 0.25/72). It represents the test statistic for investigating the difference in population proportions between High School F and High School G.

The appropriate test statistic for investigating whether there is a difference in population proportions (High School F minus High School G) is calculated using the formula: (p1 - p2) / √[(p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2).

Here, p1 and p2 represent the proportions of interest and n1 and n2 represent the sample sizes for High School F and High School G, respectively.

Among the options provided, the correct test statistic can be found in option D: (36 - 180) / √[(0.45/80) + (0.25/72)].

Therefore, option D correctly represents the test statistic for investigating the difference in population proportions between High School F and High School G.

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Answer:

1/8

Step-by-step explanation:

Answer:

7:1

Step-by-step explanation:

broken    :    not broken    :      all

    4         :          28            :      32

    1          :           7          

not broken    :     broken

     7               :         1    

a) 8780

b) i) 1159   ii) 1990

c) 9611

a) The total number of workers at the beginning is 2340 + 3455 + 675 + 960 + 1350 = 8780 workers.

b)

i) The first two companies laid off 1 worker for every 5 workers, so for the first company (2340 workers) this means 2340/5 = 468 workers lost their job. For the second company (3455 workers) this means 3455/5 = 691 workers lost their job.

In total, 468 + 691 = 1159 workers lost their job.

ii) The other three companies recruited 2 new workers for every 3, so for the third company (675 workers) this means 6752/3 = 450 new workers were recruited. For the fourth company (960 workers) this means 9602/3 = 640 new workers were recruited. For the fifth company (1350 workers) this means 1350×(2/3) = 900 new workers were recruited.

In total, 450 + 640 + 900 = 1990 new workers were recruited.

c) The total number of workers finally is 8780 - 1159 + 1990 = 9611 workers.

The complete question is -

Five companies employed 2340, 3455, 675, 960, and 1350 workers. The first two companies laid off 1 worker for every 5 workers, while the other three recruited 2 new workers for every 3.

a) What was the total number of workers at the beginning?

b) How many people: i) Lost job ii) Got a job?

c) What was the total number of workers finally?

Answer:

176

Step-by-step explanation:

Apply PEMDAS

Solve the parenthesis first

11 ( 7 + 9 )

11 ( 16 )

Now open the parenthesis and you will have your answer

11 times 16

176

Answer:

19

Step-by-step explanation:

Plug in

The Normal distribution is symmetric and ranges from negative to positive infinity, while the Log-normal distribution is skewed and only takes positive values. To select the better fit for data, consider characteristics (positivity and skewness favor Log-normal, symmetry favors Normal), hypothesis testing, visualization, and statistical tests.

Let's analyze each section separately:
a) The major differences between the Normal and Log-normal distributions are:

Normal Distribution: The Normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution that is defined by its mean (μ) and standard deviation (σ). It follows a bell-shaped curve and is often used to model naturally occurring phenomena. The range of values extends from negative infinity to positive infinity.

Log-normal Distribution: The Log-normal distribution is a skewed probability distribution that arises when the logarithm of a random variable follows a normal distribution. It is characterized by its parameters mu (μ) and sigma (σ) of the underlying normal distribution. Unlike the Normal distribution, the Log-normal distribution only takes positive values.

b) Selecting which distribution fits the data better depends on the nature of the data and the research question at hand. Here are a few considerations:

1. Data Characteristics: If the data consists of positive values and the distribution appears to be skewed, the Log-normal distribution might be more appropriate. On the other hand, if the data is symmetric and unbounded, the Normal distribution may be a better fit.

2. Hypothesis Testing: If you have a specific hypothesis to test or a theoretical justification for choosing one distribution over the other, it is advisable to use that distribution.

3. Visualization: Plotting the data and comparing it to the shapes of the Normal and Log-normal distributions can provide visual insights into which distribution aligns better with the data.

4. Statistical Tests: Statistical tests such as the Kolmogorov-Smirnov test or the Anderson-Darling test can be used to assess the goodness-of-fit for each distribution and determine which one provides a better fit to the data.

In summary, selecting the appropriate distribution involves considering the characteristics of the data, the research question, and statistical tests. Visualization and hypothesis testing can further aid in determining the best fit distribution.

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When something decreases by 15.7%, the growth factor is about 1.182 and when something decreases by 0.12%, the growth factor is about 1.00012.

In math, what is the definition of multiplying?

Multiplication is a mathematical process that shows the amount of times a number has been added to itself. It is represented by the multiplication symbols (x) or (*). Division is a mathematical process that shows how many equal amounts add up to a given quantity.

If something decreases by 15.7%, the increase in the factor is 100 / (100 - 15.7) Equals 1.182.

As a result, when something decreases by 15.7%, the growth factor is about 1.182.

When something falls by 0.12%, the expansion factor is 100 / (100 - 0.12) = 1.00012.

As a result, when something decreases by 0.12%, the growth factor is about 1.00012.

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Answer:

What does the "+8" mean in the expression 2x + 8?

The +8 is the 8 more advertisement orders received on Friday.

It's 8 more than x.

How many more advertisements were ordered on Friday than Thursday

8

The number of days

2

The number of advertisement ordered on Friday

x + 8

The total number of advertisement on both days

2x + 8

Answer:

A

Step-by-step explanation:

I took the test

To find the velocity of the plane relative to the ground, we can use vector addition.

First, let's break down the velocities into their north and west components.

Ground velocity of the plane (V_plane):

Magnitude: 300 km/h

Direction: N 30° W

Wind velocity (V_wind):

Magnitude: 50 km/h

Direction: N 20° E

To find the north and west components, we need to resolve the velocities into their respective directions.

North component of V_plane = 300 km/h * sin(30°) = 150 km/h

West component of V_plane = 300 km/h * cos(30°) = 259.81 km/h (approx. 260 km/h)

North component of V_wind = 50 km/h * sin(20°) = 17.21 km/h (approx. 17 km/h)

East component of V_wind = 50 km/h * cos(20°) = 46.05 km/h (approx. 46 km/h)

Now, let's add the north and west components separately:

North component: 150 km/h + 17 km/h = 167 km/h

West component: 260 km/h - 46 km/h = 214 km/h

To find the resultant velocity, we can use the Pythagorean theorem:

Resultant velocity (V_resultant)=√\(((North component)^{2}+(Westcomponent)^2)\)

V_resultant = √(\(167^2\) + \(214^2\))

V_resultant ≈ 272.2 km/h (approx. 272 km/h)

Finally, we need to find the direction of the resultant velocity relative to the north. We can use trigonometry:

Angle (θ) = atan(West component / North component)

θ = atan(214 km/h / 167 km/h)

θ ≈ 52.9° (approx. 53°)

Therefore, the velocity of the plane relative to the ground is approximately 272 km/h at an angle of 53° west of north.

None of the provided options match the calculated result exactly. The closest option is "ii. 271km/h N38°W," but it is not an exact match.

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Answer:

3/2

Step-by-step explanation:

f(x) = 2x+5

f-¹(x) = ?

to find f-¹(x)

let f(x) be y

y = 2x+5

then we'll make x the subject of formula

y-5 = 2x

x = y-5/2

change y to x and x to y

f-¹(x) = x-5/2

f-¹(8) = 8-5/2 = 3/2

Answer: A) 120=3S+5L B)S number of small shirts sold. L number of large shirts sold. C) 18

Step-by-step explanation:

MATH

Answer:

6 and -6 because the positive 6 equals out the negative 6.

Answer:

Step-by-step explanation:

Formula:

\(\cos \alpha =\frac{\text{adjacent} }{\text{hypotenuse} }\)

Then

\(\cos \left( 22\right) =\frac{56}{x}\)

Then

\(x =\frac{56}{\cos(22)}\)

  \(=60.397945589945\)

Answer:

900 kilowatts

Step-by-step explanation:

1 x 12 = 12

12 x 25 = 300

300 x 3 = 900

In ICD-10-CM, only two code categories are used to report infectious arthropathies: M00 and M01.

The codes in these categories are used to describe the variety of arthropathies that can be caused by various bacterial, viral, fungal, and other infectious agents.

The M00 code group includes pyogenic arthritis, osteomyelitis, and other non-tuberculous infections of joints and bones. The M01 code category includes other types of arthritis and arthropathies caused by bacteria, viruses, fungi, and parasites, as well as other infectious agents.

Infectious arthropathies are diseases that cause joint inflammation and pain as a result of infection with a variety of infectious agents, such as bacteria, viruses, fungi, and parasites. Symptoms vary depending on the type of infection, but they usually include pain, swelling, redness, stiffness, and limited mobility.

The diagnosis of infectious arthropathies usually involves a combination of physical examination, laboratory testing, and imaging studies. Treatment usually involves antibiotics or antiviral medications, as well as pain management and physical therapy.

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a school has 2500 pupils. when 52 boys and 1/9 of the girls are absent, the number of the boys present is equal to the number of girls. how many pupils does the school have ?

Let the number of boys be x

Data :

Total pupils = 2500

Absent no. of boys and girls = 52 and 1/9

Now,

Remaining no of pupils = 2500 - 52 ➝ 2448

Hence, the no. of girls absent = 1/9 of 2448 ➝ 272

Therefore,

Total no. of pupils absent = 52 + 272 ➝ 324

No. of pupils present = 2500 - 324 ➝ 2176

Henceforth, 2176 pupils are present

The inequality sign can be used when referring to two quantities that are not the same size.

An inequality is used to express a condition whereby the two quantities are not the same.

For instance, if we have the same number of students inside and outside a classroom, we can use the equality sign. In a case where we do not have the same number of students inside and outside the classroom, we can use the inequality sign.

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Answer: B. The volume of the cylinder is smaller than the volume of the prism.

Step-by-step explanation

Did the test!

The volume of the cylinder is smaller than the volume of the prism.

We have given that,

a. The volume of the cylinder is greater than the volume of the prism

b. The volume of the cylinder is smaller than the volume of the prism.

C. The volume of the cylinder is the same as the volume of the prism

d.You cannot compare the volumes of different shapes

We have to determine the,

the volume of a cylinder with a radius of 3 units and a height of 12 units compared to the volume of a rectangular prism with dimensions 16 units x 16 units x 9 units.

\(v=\pi r^2h\)

The volume of the cylinder is smaller than the volume of the prism.

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Answer

47

Step-by-step explanation:

The width of the border is 1/2 feet

From the information given, we have that;

Cherry wood of area to border and surrounded glass of area 9 square feet.

The combined area will be area of glass + area of the border made from cherry wood

The total area of coffee table would be ;

= 9 + 7 = 16 square feet.

Since the center glass piece is a square thus the surrounding border of cherry wood also would be of square shape.

So each side of the square is √16 = 4 feet

Outside of cherry border has 4 feet length and width while the inside of cherry border, which is same as the length and width of glass is 3 feet.

The difference is 4 -3 = 1 feet

Since border is on both sides therefore the width of the border= 1/2 feet

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Answer:

75.6 miles

Step-by-step explanation:

Multiply 4.2 by 18

Answer:2192.6

Step-by-step explanation:

a) Expression is \(y+35\)

b) Number of marbles with Nicola \(=\) Total number of marbles \(-35\)

An algebraic expression is one that is composed of integer constants, variables, and algebraic operations.

Number of marbles with Nicola \(=y\)

Number of marbles with Sean \(=25\)

Number of marbles with Vicky \(=10\)

So,

Total number of marbles \(=y+25+10\)

                                         \(=\boldsymbol{y+35}\)

Number of marbles with Nicola \(=\) Total number of marbles \(-25-10\)

                                                    \(=\) Total number of marbles  \(\boldsymbol{-35}\)

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