What is the median of this set of data?
362, 187.211,298,331,250, 347, 199​

Answer:

It should be 583*10^-3

Statistical tools are used for all of the above options: A) describing numbers, B) making inferences about numbers, and C) drawing conclusions about numbers.

Statistical tools are essential for analyzing and interpreting data. They provide methods and techniques for describing, analyzing, and drawing meaningful conclusions from numerical data.

Firstly, statistical tools are used for describing numbers. Descriptive statistics summarize and present data in a meaningful way, allowing us to understand the characteristics and patterns within the data. Measures such as mean, median, mode, range, and standard deviation provide descriptive information about the data.

Secondly, statistical tools are used for making inferences about numbers. Inferential statistics involve making predictions, generalizations, or estimates about a population based on sample data.

By using statistical techniques such as hypothesis testing and confidence intervals, we can draw conclusions about a population based on a subset of data.

Lastly, statistical tools are used for drawing conclusions about numbers. By applying appropriate statistical tests and analyses,

we can draw valid conclusions and make informed decisions based on the data. Statistical tools enable us to evaluate relationships, compare groups, detect patterns, and assess the significance of findings.

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Answer:

122.5 degrees

Step-by-step explanation:

A six sided polygon's interior angles sum to

  (n-2)(180) =  (6-2) (180) = 720 degrees

then   x + x + x +     x+10    + 130   + 90 = 720

                          4x = 490        so x = 122.5 degrees

Answer:

The value representing one standard deviation  to the right of the mean is 55.

Step-by-step explanation:

The provided data set is:

S = {56, 54, 45, 52, and 48}

Compute the mean and standard deviation as follows:

\(\mu=\frac{1}{n}\sum X=\frac{1}{5}\times [56+54+45+52+48]=51\\\\\sigma=\sqrt{\frac{1}{n}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{5}\cdot {(56-51)^{2}+...+(48-51)^{2}}}=\sqrt{\frac{1}{5}\times 80}=4\)

Compute the value representing one standard deviation  to the right of the mean as follows:

\(X=\mu+1\cdot \sigma\)

    \(=51+(1\times 4)\\=51+4\\=55\)

Thus, the value representing one standard deviation  to the right of the mean is 55.

The formula for percent error for mole ratio is expressed as;

%Error = [|experimental value − accepted value|/(accepted value)] * 100%

An individual measurement may be accurate or inaccurate, depending on how close it is to the true value. Suppose that you are doing an experiment to determine the density of a sample l. The accepted value of a measurement is the true or correct value based on general agreement with a reliable reference.

The error of an experiment is the difference between the experimental and accepted values.

Error = experimental value − accepted value

The percent error is the absolute value of the error, divided by the accepted value, and multiplied by  100% .

%Error = [|experimental value − accepted value|/(accepted value)] * 100%

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Answer:

A. 1,350 mm 2

Step-by-step explanation:

Answer:

1.6.36 cm

2

Step-by-step explanation:

Using sine rule to find the length of the BC.

Answer:

The answer is A. (X=11 and X=-1)

Step-by-step explanation:

I remember getting this question on my test.

Answer:

1:3

Step-by-step explanation:

3:12 is the amount of shaded circles to all circles, 8:2 is basically the same thing as 3:12 and 9:3 is the amount of shaded circles to the amount of non-shaded circles.  1:3 wouldn't work because it is not the right ratio.

Answer:

90,106,985

Step-by-step explanation:

90,000,000

5,857

54,758

+ 47,483

------------------

90,108,098

990

- 123

------------------

90,106,985

Answer:

i don't know if you need it still but the answer is 90106985

Answer:

\(f(t) = 7.23( {1.0114}^{t} )\)

t = 0 represents January 1, 2014

(a)

\(f(6) = 7.23( {1.0114}^{6} ) = 7.739\)

The population of the world is expected to be about 7.739 billion people on January 1, 2020.

(b)

\(7.23( {1.0114}^{t} ) = 10\)

\(t = about \: 28.61 \: years\)

The population of the world is expected to be 10 billion people in about 28.61 years after January 1, 2014 (sometime in August 2042).

The solution to the initial value problem is y = -3 / \((3x-x^{2} )^{3}\) , where y = 0 when x = 0.

We can solve this initial value problem using separation of variables. First, we write the differential equation as:

dy/dx = \((3-2x)^{2}\)

Next, we separate the variables by moving all the y terms to one side and all the x terms to the other side:

1/\(y^{2}\) dy =  \((3-2x)^{2}\)  dx

We integrate both sides with respect to their respective variables:

∫1/\(y^{2}\) dy = ∫ \((3-2x)^{2}\)  dx

Applying the power rule of integration on the left-hand side and simplifying the right-hand side by expanding the square, we get:

-1/y = \((3x-x^{2} )^{3}\) /3 + C

where C is the constant of integration. We can solve for C using the initial condition y(0) = 0:

-1/0 = \((3(0)-0^{2} )^{3}\)/3 + C

C = 0

Therefore, the solution to the initial value problem is:

-1/y =  \((3x-x^{2} )^{3}\)/3

Multiplying both sides by -1 and taking the reciprocal, we get:

y = -3/ \((3x-x^{2} )^{3}\)

Correct Question :

Solve the given initial value problem for y = f(x). dy/dx = \((3-2x)^{2}\) where y = 0 when x = 0.

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The probablity that the sample's mean length is greate than 6.3 inches is0.8446.

Given mean of 6.5 inches,standard deviation of 0.5 inches and sample size of 46.

We have to calculate the probability that the sample's mean length is greater than 6.3 inches is 0.8446.

Probability is the likeliness of happening an event. It lies between 0 and 1.

Probability is the number of items divided by the total number of items.

We have to use z statistic in this question because the sample size is greater than 30.

μ=6.5

σ=0.5

n=46

z=X-μ/σ

where μ is mean and

σ is standard deviation.

First we have to find the p value from 6.3 to 6.5 and then we have to add 0.5 to it to find the required probability.

z=6.3-6.5/0.5

=-0.2/0.5

=-0.4

p value from z table is 0.3446

Probability that the mean length is greater than 6.3inches is 0.3446+0.5=0.8446.

Hence the probability that the mean length is greater than 6.3 inches is 0.8446.

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Answer:

To compare the two pizzas, we need to calculate their prices per unit area.

Area of a 10-inch pizza = pi x (5)^2 = 78.5 square inches

Price per square inch = $8.99 / 78.5 = $0.1144 per square inch

Area of a 6-inch pizza = pi x (3)^2 = 28.3 square inches

Price per square inch = $5 / 28.3 = $0.1767 per square inch

So the 10-inch pizza is a better buy, as it has a lower price per square inch compared to the 6-inch pizza.

Answer:

2

Step-by-step explanation:

Rate = Total number of customers / Total time

Rate = 14/7

Rate = 2

Therefore, the customers were entering the store at a rate of 2 customers per minute.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

The phrase "twelve less than the product of three and a number" can be translated into an algebraic expression. To do this, we need to assign a variable to the unknown number and then use multiplication and subtraction to represent the given information.

Let x be the unknown number. The product of three and x is 3x. Twelve less than 3x is 3x - 12. Therefore, the algebraic expression for "twelve less than the product of three and a number" is 3x - 12. This expression represents a value that is 12 less than three times the number x.

For instance, if we know that a number is 7, we can use this expression to find the value of "twelve less than the product of three and 7."3x - 12 = 3(7) - 12= 21 - 12= 9Therefore, the value of "twelve less than the product of three and 7" is 9. We can also use this expression to write an equation and solve for x. For example, if we know that the value of "twelve less than the product of three and a number" is 33, we can write an equation:3x - 12 = 33Then, we can solve for x:3x = 33 + 123x = 45x = 15. Therefore, the unknown number is 15.

To summarize, the phrase "twelve less than the product of three and a number" can be translated into an algebraic expression 3x - 12. We can use this expression to find the value of the expression for a given value of x or to write and solve an equation involving this expression.

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let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

\(\frac{a}{6} - \frac{a}{12} = 4\)

Find the LCM

\(\frac{2a-a}{12} = 4\\\frac{a}{12} = 4\)

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

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Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

Answer:

26

Step-by-step explanation:

5 + 6 + 7 + 8 = 11 + 15 = 26

Hope it helps you in your learning process.

Answer:

26

Step-by-step explanation:

\(5+6+7+8\\\text {Add: }\\5+6+7+8\\11+7+8\\18+8\\\boxed {26}\)

5+6+7+8 = 26

Answer:

Step-by-step explanation:

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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Declan's reasoning does make sense. This is because 3/4 and 1/2 have the same denominator, and 3/4 is a larger fraction than 1/2.

Therefore, it is reasonable to assume that 3/4 is greater than 6/12 because 6/12 simplifies to 1/2. Simplifying fractions means dividing the numerator and denominator by the same number, in this case, 6 is divisible by 2, so we can reduce the fraction to 1/2.

So, Declan is correct in his reasoning that 3/4 is greater than 6/12. It is important to understand the relationship between fractions and their denominators to make such comparisons accurately.

3/4 = 9/12

1/2 = 6/12

6/12 = 6/12

Since 9/12 (which is equivalent to 3/4) is greater than 6/12 (which is equivalent to 1/2), we can say that 3/4 is indeed greater than 6/12.

Therefore, Declan's reasoning is correct.

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Answer:

0

Step-by-step explanation:

Combine like terms, combining 5x^2 and - 5x^2, -3x and 3x, etc. to get:

5x^2 - 5x^2 - 3x + 3x - 7 + 7.

These numbers are opposites, so they cancel out, and what we are left with is just 0.

Answer:

63 3/4

Step-by-step explanation:

First:

convert any mixed numbers to fractions.

Then your initial equation becomes:

17/2 ÷ 2/15

Applying the fractions formula for divison,

= 17/2×15/2

= 255/4

Simplifying 255/4, the answer is = 63 3/4.

Hope this helps :)

Answer:

63.9

Step-by-Step Expectation:

8.5/0.133=63.9

The value of c in the equation s(n) = 2s(n - 1) - s(n - 2) + c for all integers n ≥ 2, where s(n) = 6n² - 4n + 1, is 1.

Let's substitute the given function s(n) = 6n² - 4n + 1 into the equation s(n) = 2s(n - 1) - s(n - 2) + c:

6n² - 4n + 1 = 2(6(n - 1)² - 4(n - 1) + 1) - (6(n - 2)² - 4(n - 2) + 1) + c.

Simplifying the equation further:

6n² - 4n + 1 = 2(6n² - 12n + 6) - (6(n - 2)² - 4(n - 2) + 1) + c,

6n² - 4n + 1 = 12n² - 24n + 12 - (6n² - 24n + 24) + c,

6n² - 4n + 1 = 6n² - 24n + 24 - 6n² + 24n - 24 + c,

6n² - 4n + 1 = c.

From the simplified equation, we can observe that the value of c is simply 1. Therefore, the value of c in the equation s(n) = 2s(n - 1) - s(n - 2) + c for all integers n ≥ 2, where s(n) = 6n² - 4n + 1, is 1.

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Answer:

30 ft², 40 ft², 70 ft²

Answer:

4th option

Step-by-step explanation:

Applying Pythagoras' identity to the figure

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then

If the area on the 2sides is 30 ft² and 40 ft² then the hypotenuse is

30 ft² + 40 ft² = 70 ft²

The probability that the sample proportion will differ from the population proportion by greater than 0.03 is approximately 0.0107.

1. To find the probability, we need to calculate the standard deviation of the sample proportion.
2. The standard deviation can be calculated using the formula: √[(p * (1-p))/n], where p is the population proportion and n is the sample size.
3. Plugging in the values, we get √[(0.04 * (1-0.04))/259] ≈ 0.0134.
4. Next, we calculate the z-score using the formula: z = (sample proportion - population proportion) / standard deviation. In this case, z = (0.03) / 0.0134 ≈ 2.2388.
5. Finally, we find the probability using a standard normal distribution table or calculator, which is approximately 0.0107.

Therefore, the probability that the sample proportion will differ from the population proportion by greater than 0.03 is approximately 0.0107, rounded to four decimal places.

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All are technically squares, but if you are referring to just squares, then C and D are squares.

Answer:

To calculate how many standard deviations away from the mean an ACT score of 31 is, we need to use the formula:

z = (x - μ) / σ

Where:

x = ACT score of 31

μ = mean of ACT scores (28)

σ = standard deviation of ACT scores (2)

z = number of standard deviations away from the mean

Substituting the values, we get:

z = (31 - 28) / 2

z = 1.5

Therefore, an ACT score of 31 is 1.5 standard deviations away from the mean.