a regular pentagon has a radius of 4 inches and a side length of 3 inches. a. find the apothem of the pentagon. b. find the area of the pentagon

Answer: C 70%

Step-by-step explanation:

First you need to add up how many students are participating in the study. 4+6+12+8+4=34. There are 24 people who own more than 5 video games. This means that it is 24/34. This equals about 70%

The tape diagram for the equation can be given using rectangular boxes. The unknown value of x is a. 7, b. 7.

A tape diagram, often referred to as a strip diagram, is a visual representational tool in mathematics used to compare or illustrate numerical relationships. It consists of a rectangle or a segment of a line that has been divided into equal portions, each of which represents a specific amount. The magnitude of the quantity being measured is indicated by the length or area of the parts.

In order to help students understand the information offered and to visualise the relationships between the values involved, tape diagrams are frequently utilised in problem-solving scenarios.

Given that,

a.x+9=16

x = 16 - 9

x = 7

b.4•x=28

x = 7

Hence, the unknown value of x is a. 7, b. 7.

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Answer:

09165574045I want 2 use dis medium 2 thk y’all 4 being part of my 2022.

As a frnd I say a Big Thk u

As a customer I say a Big Thk u

As a partner I say a Big Thk u

As a family member I say a Big Thk u

As my god ordained helper I say a Big Thk u!

God bless u n see y’aappothdojhdotopogohdoogknroogbdjojej3337858ll in 2023 in Grand Style. Amen

Answer:

below

Step-by-step explanation:

58.

(72 + 75 + 68 + 70 + 73 + 72 + 76 + 72 + 69 + 72 ) divided by 10 = 71.9

59.

order- 68, 69, 70, 72 , 72, 72, 72, 73, 75, 76

median = (72 + 72) divided by 2 = 72

61.

I dont know what MAD means

this is all I could do rn

Based on the dot plot, the cost for each of the 22 rides is between $1 and $12.

The summary statistics show that the minimum cost is $1, the maximum cost is $12, the median cost is $3.60, and the interquartile range (IQR) is $2.30 ($2.90 - $0.60).

Knoebels Amusement Park in Elysburg, Pennsylvania is an affordable and family-friendly entertainment venue that does not charge for general admission or parking. Instead, customers are charged for each ride they take.

From the dot-plot and summary statistics provided, we can see that the cost for each ride varies, with the cheapest ride costing $2 and the most expensive costing $12. The average cost of a ride is $6.32, and the standard deviation is $2.43, indicating that there is some variability in the cost of rides.

Overall, Knoebels Amusement Park appears to be a reasonably priced entertainment option, with a range of ride options available at varying costs to suit different budgets.

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-- The figure is missing in the given question, attached below --

Using simple interest we know the Total value of annual health coverage is $9000.

Borrowers must pay lenders simple interest as a fee in exchange for a loan.

Compound interest is excluded from the calculation and just the original principal is used.

Simple interest applies to all loans, not just specific ones.

Additionally, it refers to the kind of interest that banks give their customers on their savings accounts.

So, complete yearly health coverage calculation

Let x be the total annual healthcare budget.

Ruth contributes 18% of the entire cost of healthcare, or $67.50 for two weeks. (ie 15 days)

So, total paid for one month = 67.5 x 2 = 135

The total amount paid for the entire year is 135 x 12 = 1620.

She foots 18% of the overall annual health care costs, as was already established.

Then,

18% x = 1620

18 x / 100 = 1620

x = (1620 x 100) / 18

= $9000

Therefore, using simple interest we know the Total value of annual health coverage is $9000.

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Correct question:

Ruth contributes 18% of the total cost of her individual health care. This is a $67.50 deduction from each of her biweekly paychecks. What is the total value of her individual coverage for the year?

Answer: 14%

Step-by-step explanation:

Our formula is i=prt but we're trying to find the rate (r) so we'll rearrange it to become r=i/pt.

i = $245

p = $7000

t = 3/12= 0.25 years

[tex]r=\frac{245}{(7000)(0.25)} \\r = 0.14[/tex]

ok so for the first one I'm im taking a guess I think it's the first one.

the second one plot the point on the line between 14 and 15

I think those should be correct I think

Handling Exponents:

Generally when handling exponents it is necessary to follow the different Law of Exponents

1. Product rule

2.  Quotient rule

3. Power to Power rule

4. Negative exponent rule

5. Zero power rule

In this context we are finding what is equivalent to 6^8 x 6^(-4)

[tex]6^(8-4)=6^4[/tex] - this is equivalent

[tex](6^8)^-4=6^-^3^2[/tex] - not equivalent

[tex]6^2[/tex] -  not equivalent

[tex]6^-^2=\frac{1}{6^2}[/tex] - not equivalent

[tex]6^-^3^2=\frac{1}{6^3^2}[/tex] - not equivalent

[tex]\frac{6^8}{6^4}= 6^(^8^-^4^)=6^4[/tex] -  this is equivalent

The first and last options are equivalent to 6^8 x 6^(-4)

The proof of the above parallelogram is given as follows.

Statement                                                                   Reason

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The probability of rolling a sum greater than 10 is 4/36, which simplifies to 1/9, or approximately 0.1111.

There are 36 possible outcomes when rolling two 6-sided dice. Each outcome is equally likely.

To find the probability of rolling a sum greater than 10, we need to count the number of outcomes where the sum is greater than 10, and then divide by the total number of outcomes.

The outcomes where the sum is greater than 10 are:

4 + 6 = 10

5 + 6 = 11

6 + 5 = 11

6 + 6 = 12

So there are 4 possible outcomes where the sum is greater than 10.

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A reasonable prediction for the number of times a sixth or seventh grader will be chosen is 24 out of the 40 games.

What is reasonable prediction?

A reasonable prediction is a prediction made with a reasonable degree of accuracy or likelihood, based on available information and knowledge. It is based on facts, past events, and logical assumptions, and is not based on conjecture or guesswork. Reasonable predictions can be made about future events, trends, and outcomes, and can be used to inform decisions, plans, and strategies.

The total number of sixth and seventh graders on the team is:

10 sixth graders + 14 seventh graders = 24 students

The total number of students on the team is:

10 sixth graders + 14 seventh graders + 16 eighth graders = 40 students

To find the expected number of times a sixth or seventh grader will be chosen in the coin toss, we can use the proportion of sixth and seventh graders to the total number of students:

(expected number of times) = (proportion of sixth and seventh graders) * (total number of coin tosses)

(expected number of times) = (24/40) * 40

(expected number of times) = 24

Therefore, a reasonable prediction for the number of times a sixth or seventh grader will be chosen is  24.

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It is important to test for interactions in a two-way ANOVA to ensure that the main effects of each variable are not being confounded by the presence of an interaction.

In a two-way ANOVA test, if the effect of one variable depends on the value of another variable, then there is an interaction between the two variables. An interaction occurs when the effect of one independent variable on the dependent variable changes depending on the level of the other independent variable. It is important to test for interactions in a two-way ANOVA to ensure that the main effects of each variable are not being confounded by the presence of an interaction.

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In a two-way ANOVA test, if the effect of one variable depends on the value of another variable, "interaction".

In a two-way ANOVA test, interaction occurs when the effect of one independent variable on the dependent variable

depends on the level of another independent variable.

This means that the effect of one variable is not constant across all levels of the other variable, and it is important to

consider this interaction effect in interpreting the results of the ANOVA test.

Correlation and multicollinearity are not directly related to ANOVA tests, while "group of answer choices" is not a

relevant term in this context.

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The problem steps should be put in the correct order as follows;

Problem ≡ [tex]\frac{2}{x+1} \cdot \frac{3}{x-2}[/tex]

Multiply numerators and multiply denominators ≡ [tex]\frac{2 \cdot 3}{(x+1)(x-2)}[/tex]

Simplify numerator and Simplify denominator ≡ [tex]\frac{6}{(x^2 - x - 2)}[/tex]

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics and Geometry, a rational expression simply refers to a type of expression which is expressed as a fraction. In this exercise, we would factorize the numerator and denominator for this rational expression as follows;

Multiply numerators = 2 × 3 = 6

Multiply denominators = (x + 1) × (x - 2) = x² - 2x + x - 2 = x² - x - 2

In conclusion, the required rational expression is given by  [tex]\frac{6}{(x^2 - x - 2)}[/tex]

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Answer:

(2,-3) is the minimum

Step-by-step explanation:

y = (x-2)²-3 is a quadratic equation written in 'vertex' form:  y = (x-h)²+k where 'h' and 'k' represent the vertex

The vertex is the highest or lowest point of the curve, in this case the 'minimum' so (2,-3) is the minimum

The inference is that,  Incorrect because of a failure to distinguish between incidence and prevalence.

What is inference drawn from statistics?

Utilising data analysis to determine characteristics of a probability distribution at play, statistical inference is the process. Through the use of estimation and hypothesis testing, inferential statistical analysis infers characteristics of a population. It is presumed that a bigger population than the observed data set was sampled for this data collection.

What distinguishes random assignment from random sampling inferences?

As a method of choosing participants for your study's sample, random selection or random sampling can be used. The sample can be divided into control and experimental groups using random assignment, however.

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The complete question is -

At the initial examination in the Framingham study, coronary heart disease was found in 5 per 1,000 men aged 30yrs to 44yrs and in 5 per 1,000 women aged 30yrs to 44yrs. The inference that in this age group men and women have an equal risk of developing coronary heart disease is Selected Answer: A. Correct Answers: A. Correct B. Incorrect because of a failure to distinguish between incidence and prevalence C. Incorrect because a proportionate ratio is used when a rate is required to support the inference D. Incorrect because of failure to recognize a possible cohort phenomenon E. Incorrect because there is no control or comparison group.

The train will have traveled option (C) 450 km from its starting point after 4 more hours at the same average speed.

The average speed of the train is given by the distance traveled divided by the time taken to travel that distance

average speed = distance ÷ time

Using this formula, we can find the average speed of the train:

average speed = 250 km ÷ 5 h = 50 km/h

Now that we know the average speed of the train, we can use it to calculate how far it will have traveled after another 4 hours:

distance = average speed × time

distance = 50 km/h × 4 h = 200 km

Therefore, the train will have traveled 250 km + 200 km = 450 km from its starting point after 4 more hours at the same average speed.

So, the answer is (C) 450 km.

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Answer:

a=37° to the nearest whole number

Step-by-step explanation:

cos0=adj/hyp

cosa=4/5

a=cos‐¹(4/5)

a=36.869°

a=37° to the nearest whole number

The answer through which all the value of the given relation satisfied the relation is period decreases, frequency increases and reflected in y - axis.

What about frequency?

In mathematics, frequency is a term used in statistics to describe how often a particular value or set of values appears in a dataset. Specifically, frequency refers to the number of times a particular data point or value occurs in a dataset.

For example, consider a dataset of test scores for a class of students. The frequency of a particular score (e.g., 80%) would be the number of students who received that score. The frequencies can be used to create a frequency distribution, which is a table that shows the frequency of each value or group of values in a dataset.

According to the given information:

In the given condition as the value of B increases, the periodic function decreases and the frequency of the function increases where as, when the value of B is negative, the graph of the function reflected in y-axis.

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The substance's half-life in days is 5 days.

What is exponential decay?

If a quantity declines at a pace proportionate to its current value, exponential decay may be present. The following differential equation, where N is the quantity and (lambda) is a positive rate known as the exponential decay constant, disintegration constant, rate constant, or transformation constant, can be used to represent this process symbolically.

Here, we have

Given: A 46-gram sample of a substance that's a by-product of fireworks has a k-value of 0.1394.

We have to find the substance's half-life in days.

Using the formula for the exponential decay that is N = N₀e⁻ⁿˣ,

we have N = 46/2, N₀ = 46, and n = 0.1374.

N = N₀e⁻ⁿˣ

23 = 46e⁻⁰°¹³⁹⁴ˣ

23/46 = e⁻⁰°¹³⁹⁴ˣ

1/2 = e⁻⁰°¹³⁹⁴ˣ

Taking logs on both sides, we get

㏑(1/2) = -0.1394x

x = ㏑(1/2)/(-0.1394)

x = -0.6931/(-0.1394)

x = 4.9720

Hence, the substance's half-life in days is 5 days.

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The slope of the line on this graph is equal to 1/3.

In Mathematics and Geometry, the slope of any straight line can be determined by using the following mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

By substituting the given data points into the slope formula, we have the following;

Slope (m) = (-2 - (-3))/(-1 - (-4))

Slope (m) = (-2 + 3)/(-1 + 4)

Slope (m) = 1/3

Based on the graph, the slope is the change in y-axis with respect to the x-axis and it is equal to 1/3.

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The slope of the coordinate  line is 1/3.

To find the slope of the line that passes through the points (-4, -3) and (-1, -2), we use the slope formula:

slope = (change in y) / (change in x)

The change in y is -2 - (-3) = 1, and the change in x is -1 - (-4) = 3. Therefore, the slope is:

slope = 1 / 3

So the slope of the line is 1/3.

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Answer:

[tex] \sqrt{41} [/tex]

Step-by-step explanation:

for finding the hypotenuse we use the pythagoras theorem

Answer:

Using similar triangles, we can set up a proportion:

(tree height)/(tree shadow) = (building height)/(building shadow)

Plugging in the given values, we get:

8/4 = 24/x

Solving for x, we get:

x = (24 x 4)/8 = 12 feet

Therefore, the length of the building's shadow is B. 12 feet.

It takes the person 40 minutes to travel 10 miles at a rate of 15 miles per hour

We can use the formula:

time = distance / speed

where "distance" is the distance traveled and "speed" is the speed at which the person is traveling.

In this case, the person rode their bike 10 miles south at a speed of 15 miles per hour.

Plugging these values into the formula, we get:

time = 10 miles / 15 miles per hour

Simplifying, we get:

time = 40 minutes

Therefore, it takes them 40 minutes

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The probability that the sample mean would differ from the population mean by greater than 3 millimetres is 0.0033 + 0.0033 = 0.0066, rounded to four decimal places.

We are given that the population mean diameter of the steel bolts manufactured by Thompson and Thompson is μ = 137 millimeters and the variance is = 49.

We need to find the probability that the sample mean would differ from the population mean by greater than 3 millimeters.

The standard deviation of the sample means is given by the formula:

[tex]\sigma_{\bar{x}} = \frac{\sigma}{{\sqrt{n}}}[/tex]

Substituting the given values, we have:

[tex]\sigma \bar{x}=\frac{\sqrt{49}}{\sqrt{48}}=1.118[/tex]

To find the probability that the sample mean would differ from the population mean by greater than 3 millimeters,

we need to calculate the z-score:

[tex]z=\frac{(\bar{x}-\mu)}{ \sigma _{\bar{x}}}[/tex]

Substituting the given values, we have:

[tex]z=\frac{\bar{x}-137}{1.118}[/tex]

We want to find the probability that |z| > 3/1.118 = 2.683.

Using a standard normal distribution table, we find that the probability of z > 2.683 is 0.0033.

Since this is a two-tailed test, the probability of z < -2.683 is also 0.0033.

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We the best reason behind why we call National halothane study is an observational study rather than an experiment is: " In order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned." So, option( b) is right one.

We have data from the National Halothane Study that correlates with important research into the safety of anesthetics used in surgery. The above shows the death rate and aesthetic. There is a relationship between the anesthetic used and the death of the patient. The data was collected after that the anesthesia was administered is started. In the observational study, interesting observer in the subjects & any treatment that the subjects recive are beyond the council of the investigators. Here the motion of anaesthesia is anesthetics used her determined by the doctors and the investigators are simply observing. So, it is an observational study due to because in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. Instead, a patient's anesthetic is selected by his or her doctor(s).

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Complete question:

The National Halothane Study was a major investigation of the safety of anesthetics used in surgery. Records of over 850,000 operations performed in 34 major hospitals showed the following death rates for four common anesthetics:27 Anesthetic A Death rate B CD 1.7% 1.7% 3.4% 1.9% There is a clear association between the anesthetic used and the death rate of patients. Anesthetic C appears dangerous.

a) in order to be an experiment, the subjects would have to be randomly selected from the population. however, these are hospital patients who all have some disease or condition and have not been randomly selected from the population, which includes both healthy and sick people.

b) in order to be an experiment, the treatments (choice of anesthetic) would have to be randomly assigned. instead, a patient's anesthetic is selected by his or her doctor(s).

c) there is not enough information to say for sure, but it is safer to assume that it is only an observational study, so that we are not overconfident about the results.

d) actually, it is an experiment and not an observational study.

The mode is 18.5.

What is mode?

In statistics, there  are most repeated value among the given set of data. Those are called mode. Among the given set of data, mode is the value which has the maximum frequency. Sometimes, it may be possible to have more than one value which has the equal maximum frequency.

Formula for mode for grouped data is given by:

Mode = l + [(f₁-f₀)/(2f₁-f₀-f₂)]×h.-------------------(1)

Where, l = lower class limit of modal class, h = class size, f₁ = frequency of modal class, f₀ = frequency of class preceding to modal class, f₂ = frequency of class succeeding to modal class.

In the given problem l= 15.5

                                   f₀= 8

                                  f₁= 10

                                  f₂= 8

                                  h= 6

Putting all the values in equation (1) we obtain mode

                     mode= 15.5 +{(10-8)/(2×10-8-8)} ×6

                              = 15.5+(2/4)×6

                              = 15.5+ 3

                               = 18.5

Hence, the mode is 18.5.

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The rate at which the light's projection moves along the wall when the light's angle is 20 degrees from perpendicular to the wall is approximately 1.078 feet per second.

Let's let t be the time elapsed since the light started rotating, and θ be the angle that the light makes with the perpendicular to the wall, as shown in the diagram. The rate at which the light's projection moves along the wall is given by the derivative of the horizontal distance between the projection point P and the foot of perpendicular Q, with respect to time t. Let's call this distance x.

From the diagram, we can see that:

tan(θ) = x / 12

Differentiating both sides with respect to time t, we get:

sec²(θ) dθ/dt = (dx/dt) / 12

We are given that the light completes one rotation every 2 seconds, which means that the angular velocity of the light is:

dθ/dt = 2π / (2 seconds) = π radians per second

Substituting this value and θ = 20° (converted to radians), we get:

sec²(20°) (π rad/sec) = (dx/dt) / 12

Simplifying:

(1/cos²(20°)) (π/2) = (dx/dt) / 12

Multiplying both sides by 12 and evaluating the left-hand side, we get:

dx/dt = 1.078 feet per second

As a result, when the light's angle is 20 degrees from perpendicular to the wall, the pace at which the projection advances along the wall is roughly 1.078 feet per second.

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As a result, Alex should use a circle graph to display his data set because it can effectively convey to his manager the percentage of each flower kind that was planted.

To visualise information and data, use a circle graph or pie chart. Typically, a circle graph is used to quickly and proportionately display the findings of an investigation.

A pie chart, often known as a circle chart, is a visual representation of the various values of a given variable or a means to summarise a set of nominal data. This kind of diagram consists of a circle with numerous segments.

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