data set is made up of these values 2 ,4 ,8 ,9 ,10 ,14 ,15 find the interquartile range

The answer is two base cases, using induction.

What is induction ?

Weak induction is when an inductive mathematical proof holds true for all integers in a set of countable proofs. Natural numbers typically use this. The base step and inductive step are used to prove a set, making it the simplest type of mathematical induction.

Two examples make up an induction proof. Without requiring any prior knowledge of other examples, the first, or base case, establishes the claim for n = 0. The induction process, which is used in the second case, demonstrates that if the assertion is true for any particular scenario where n = k, it must also be true for the subsequent case where n = k + 1.

If a statement true  for n= k, accordily to induction it have to hold good for n = k+1,

Hence, base cases does a proof by the weak form of the principle of mathematical induction requires 2 bases.

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7 test scores are 85 or greater according to the given scenario.

The third quartile (Q3) is a measure of central tendency that represents the value separating the lower 75% of a dataset from the upper 25%. In this case, the third quartile has a value of 85, meaning that 75% of the test scores are 85 or lower.

Since there are 30 exams in total, 30 x 0.75 = 22.5 exams have scores of 85 or lower. To find the number of exams with scores of 85 or greater, we subtract the number of exams with scores of 85 or lower from the total number of exams, which is 30 - 22.5 = 7. This means that 7 exams have scores of 85 or greater.

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Its related to the mixing in the Analysis.

Quantitative data:

They are used when a researcher is trying to quantify a problem, or address the "what" or "how many" aspects of a research question. It is data that can either be counted or compared on a numeric scale.

Qualitative data :

It describes qualities or characteristics. It is collected using questionnaires, interviews, or observation, and frequently appears in narrative form. For example, it could be notes taken during a focus group on the quality of the food at Cafe Mac, or responses from an open-ended questionnaire.

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Explanation

the length of an arc is given by:

where r is the radius and theta is the angle

then

Step 1

Let

radius=13

angle=68

replace

I hope this helps you

Data distributions are essential to analytics because they provide a way to summarize and understand the behavior of data. To test whether data are normally distributed, analysts can use the Shapiro-Wilk test

By identifying the distribution of data, analysts can make informed decisions about modeling, hypothesis testing, and prediction. Distributions are commonly used in analysis to assess data quality, detect outliers, and select appropriate statistical methods.

To identify appropriate sample distributions, analysts can use visual inspection of histograms or density plots. To test whether sample data match the data generating process, analysts can use goodness-of-fit tests such as the chi-square test or the Kolmogorov-Smirnov test.

To test whether data are normally distributed, analysts can use the Shapiro-Wilk test, which tests the null hypothesis that the data come from a normal distribution. In R, the function shapiro.test() can be used to perform the test. Another common approach is to use visual inspection of a normal probability plot.

Overall, understanding and testing data distributions is essential for accurate and reliable analysis in business settings.

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When 97.5 g of Hg reacts with oxygen, approximately 22.0 kJ of heat is released.

To calculate the heat released when 97.5 g of Hg reacts with oxygen, you'll first need to find the moles of Hg reacted. The molar mass of Hg is 200.59 g/mol.

moles of Hg = mass (g) / molar mass (g/mol)
moles of Hg = 97.5 g / 200.59 g/mol = 0.486 mol

The balanced equation for the reaction is:
2 Hg (l) + O2 (g) → 2 HgO (s)

From the balanced equation, 2 moles of Hg react with 1 mole of O2 to produce 2 moles of HgO. The given ΔH for this reaction is -90.8 kJ.

Now, we need to find the heat released per mole of Hg reacted:

ΔH (per mole of Hg) = ΔH (reaction) / moles of Hg (in balanced equation)
ΔH (per mole of Hg) = -90.8 kJ / 2 = -45.4 kJ/mol

Finally, calculate the heat released for 0.486 mol of Hg:

Heat released = ΔH (per mole of Hg) × moles of Hg
Heat released = -45.4 kJ/mol × 0.486 mol = -22.0 kJ

When 97.5 g of Hg reacts with oxygen, approximately 22.0 kJ of heat is released.

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Answer:

a) Rs 22

b) 4 liter

hope it helps

Answer:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

Step-by-step explanation:

cost of 2 3/4 litre milk is 60 1/2

first we in number from fractions

11/2 litre = 5.5 litre

RS 121/2 = 60.5

5.5 litre milk = Rs 60.5

(i) 1 lire milk = 60.5/5.5 = 11

(i)  1 litre milk rate is Rs 11

(ii) 1 litre  = Rs 11      , Rs 88 = 88/11 litre        , 8 litre

(i) part answer   = Rs 11

(ii) part Answer = 8 litre milk

Answer: Right/complementary angles

Step-by-step explanation:

Two angles that add up to 90 degrees are called complementary angles.

Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.

In other words, the sum of the measures of complementary angles is always 90 degrees.

Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.

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Answer:

The top table shows the sample space for two spins of this spinner.

Answer:

Step-by-step explanation:

1 pack of boxes= 48/12= 4

Thus, 8 packs of boxes = 4*8=32.

Hopefully this satisfies you

Answer:

y= -5x + 6

Step-by-step explanation:

Answer:

Equation of line in Slope intercept form

\(y=-5x+6\)

Equation of line in Point-slope form

\(y-1=\frac{-4-1}{2-1} (x-1)\)

Step-by-step explanation:

Equation of line

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\)   ----------- (1)

Here

\((x_1. y_1)=(1, 1) \ \ \ and \ \ \ (x_2, y_2)=(2, -4)\)

Substituting values in equation (1)

\(y-1=\frac{-4-1}{2-1} (x-1)\)

\(y-1=-5 (x-1)\)     (This is equation line in point-slope form)

Simplifying it further

\(y=-5x+5+1\)

\(y=-5x+6\)  (This is equation of line in slope-intercept form)

Using the given exponential function,

The rate of the disease spreading is approx. 140 peoples per day affected.

let P be the number of people's that are contacting a new disease.

given exponential function about the new disease modeled by population is

P(t) = 3725/(1 +1.72 e⁻⁰·⁵²ᵗ) ---(1)

where t is time measured in days

we want to calculate the rate of diseases spreading on day 4 i.e t = 4

putting the value t = 4 in above formula, we get

P(t=4) = 3725/(1 + 1.72 e⁻⁽⁰·⁵²⁾⁴)

=> P( t= 4) = 3725 / (1 + 1.72× e⁻⁰·²⁸)

=> P(t=4) = 3725/(1 + 1.72× 0.124)

=> P(t = 4) = 3725/(1+ 0.2148)

=> P(t=4) = 3725/1.2148

=> P(t = 4) = 3066.14

Hence, after 4 days of diseases spread , total 3066 people's are affected from it .

rate of diseases spreading per day is equal to (3725-3066)/4 = 659/4 = 139.75

so, rate of spreding diseases is 139.75 ~ 140 peoples per day .

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Answer: -85/272

Step-by-step explanation:

-17/8 divided by 34/5

then opposite reciprical

-17/8 x 5/34

-85/272 (check if you can simplify)

The largest share of national health expenditures is typically attributed to D. personal health care.

What is personal health care?

Personal health care refers to the direct provision of medical goods and services to individuals, including services such as hospital care, physician services, prescription drugs, and other medical supplies. These expenses typically make up the majority of national health expenditures in many countries, including the United States.

Examples of Personal Health Care Services: Personal health care expenditures include costs associated with hospital care (inpatient and outpatient), physician and specialist services, laboratory tests, prescription drugs, medical devices, home health care, nursing home care, and other healthcare services utilized by individuals.

Factors Contributing to Personal Health Care Expenses: Several factors contribute to the high share of national health expenditures attributed to personal health care. These include the increasing prevalence of chronic diseases, advances in medical technology, rising healthcare utilization, and an aging population requiring more healthcare services.

Private Health Insurance: While personal health care expenditures primarily refer to direct payments made by individuals or on their behalf, a significant portion of these costs is covered by private health insurance. Private insurance plans help individuals offset the financial burden of healthcare expenses by pooling risks and providing coverage for various medical services.

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The concept that a message gives different meanings to different objects is called option (b) polymorphism.

Polymorphism is a fundamental concept in object-oriented programming (OOP) that allows different objects to respond to the same message or method invocation in different ways. In other words, it allows objects of different classes to be treated as if they were of the same class, as long as they implement the same method or message.

This can make code more flexible, reusable, and easier to maintain. Polymorphism is achieved through inheritance, interfaces, or overloading methods. For example, a "draw" method could be implemented differently for different shapes, such as circles, rectangles, or triangles.

Therefore, the correct option is (b) polymorphism

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Answer:

c= 24

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) and d)

Step-by-step explanation:

Given in the question, 4 equations.

We will find the solution of all one by one to see which equation have a different solution.

a)

y - 5 = -7

y = -7 + 5

y = -2

b)

-y + 4 = 5

-y = 5 - 4

-y = 1

y = -1

C)

(y/-1) – 6 = -5

-y/1 =-5 + 6

-y = 1

y = -1

D)

(y/3) – 5 = -5

y/3 = -5 +5

y/3 = 0

Answer:

The answer is "32 and 48"

Step-by-step explanation:

Please find the graph file in the attached file.

The perimeter is= sum of sides  

                           \(= 10+10+12 \\\\ =32 \ units\\\\\)

Calculating the Area of base\(= \frac{1}{2} \times base \times height\)

                                               \(= \frac{1}{2} \times 12 \times 8\\\\= \frac{1}{2} \times 96\\\\=48 \ units^2\)

Answer: A and D

Step-by-step explanation: The centimeters of the triangles are the same, therefore congruent.

Answer:

Hi I believe the answer is A I hope this helps.

Step-by-step explanation:

4x-2=-8

12^-8

Answer:

A. 12⁻⁸

Step-by-step explanation:

When an exponent is applied to a number which already contains an exponent, they should be multiplied.

The answer is A.

Answer:

To find the 95% confidence interval for the population proportion, we can use the formula:

CI = p ± z*(sqrt(p*(1-p)/n))

where CI is the confidence interval, p is the sample proportion, z is the z-score for the level of confidence (which is 1.96 for 95% confidence interval), and n is the sample size.

Given that the sample proportion (p) is 0.55 (55%), the sample size (n) is 2,000, and the z-score for  95% confidence interval is 1.96, we can plug in these values into the formula and get:

CI = 0.55 ± 1.96*(sqrt(0.55*(1-0.55)/2000))

Simplifying the expression inside the square root, we get:

CI = 0.55 ± 0.032

So the 95% confidence interval for the proportion of mobile phone users that text while driving is:

CI = [0.518, 0.582]

Therefore, we can say with 95% confidence that the true proportion of mobile phone users who text while driving falls somewhere between 51.8% and 58.2%.

Step-by-step explanation:

if we're going with single topping, single cheese per pizza, the answer is 30.

A situation that could follow a binomial distribution is the number of heads that occur when flipping a "fair-coin" multiple times.

A "Binomial-Distribution" is defined as a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

In this case, flipping a "fair-coin" is an independent trial with two possible outcomes (heads or tails), and the probability of getting a heads on any given flip is 0.5.

Each "coin-flip" is independent of the others, and the probability of getting a heads on any given flip is always the same which is "0.5",

So, this situation fits the requirements for a binomial distribution.

The "binomial-distribution" can then be used to calculate the probability of getting a certain number of heads out of a fixed number of flips. For example, if we flip a coin 10 times, the probability of getting exactly-5 heads can be calculated using the binomial distribution formula.

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\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{4\% of 6000}}{\left( \cfrac{4}{100} \right)6000}\implies 240\)

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

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Answer:

y=-5/4x+14

Step-by-step explanation:

Use slope formula (y2-y1 over x2-x1)

Pick to points

I will use (0,14) and (4,9)

9-14=-5

4-0=4

Slope is -5/4

To get the y-intercept you must find y when x=0

In your case when x=0 y=14

So y-intercept is 14

Hope this helped!

Step-by-step explanation:

Hey there!

Here;

Given is; angle AEB = 88°

angle AEB + angle AED = 180° { being linear pair}

88° + angle AED = 180°

angle AED = 180° - 88°

Therefore, angle AED = 92°

Therefore, answer is Option C.

Hope it helps...