each of the following three data sets represents the iq scores of a random sample of adults. iq scores are known to have a mean and median of 100. full data set sample of size 5 sample of size 12 sample of size 30 . . . question content area right part 1 for each data​ set, compute the mean and median. what is the mean of the sample of size​ 5? enter your response here ​(type an integer or decimal rounded to one decimal place as​ needed.)

Answer: 4 times a number equals 2 plus 3 times a number

Step-by-step explanation: (NMA)

It should be noted that 16 divided by 2 2/3 is 6.

It should be noted that the information is to compute 16 divided by 2 2/3.

Therefore, this will be:

16 ÷ 2 2/3

= 16 ÷ 8/3

= 16 × 3/8

= 2 × 3

= 6

Therefore, the value is 6.

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Answer:

8300

Step-by-step explanation:

First, do parenthesis

Then, do the rest of the PEMDAS

Last, you're done!

The given expression is negative as after the solving fraction the value is:  -17/15

Examine the fractions' denominators. Find the LCM of the denominators and rationalize them to make the denominators of both fractions the same. Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.

Given fraction are : -1/3 , -4/5

Applying the fraction addition formula:

by calculating and reasoning the LCM of denominators Add the fraction numerators while keeping the denominator constant. To find the final sum, simplify the fraction.

= (-1/3)+( -4/5)

Applying the fraction addition rule:

= [tex]\frac{-1}{3}[/tex] -  [tex]\frac{-4}{5}[/tex]

Finding the LCM of the denominators:

= [tex]\frac{-5}{15} - \frac{12}{15}[/tex]

= -17/15

The given expression is negative as after the solving fraction the value is:  -17/15

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Answer: The answer is 27

Step-by-step explanation: 6 x 6 x 6 = 216. 216 is the numerator. 2 x 2 x 2 = 8. 8 is the denominator.

216 / 8 = 216 '/. 8 = 27

Answer -

[tex] \frac{61}{4} [/tex]

Step-by-step explanation:

Greetings !

Given expression( function )

[tex]h(x) = \frac{12}{2x} + 16[/tex]

Thus, plug in -8 in the variable x and solve as follows:-

[tex]h( - 8) = \frac{12}{2( - 8)} + 16[/tex]

Multiply the numbers 2.(-8) = -16

[tex] = \frac{12}{ - 16} [/tex]

Apply the fraction rule

[tex] \frac{a}{ - b} = - \frac{a}{b} [/tex]

[tex] = - \frac{12}{16} [/tex]

[tex] = - \frac{ 12}{16} + 16[/tex]

cancle

[tex] \frac{12}{16} = \frac{3}{4} [/tex]

Factor the number: 12 = 4.3

[tex] = \frac{4.3}{16} [/tex]

Factor the number 16 = 4.4

[tex] = \frac{4.3}{4.4} [/tex]

cancel the common factor =4

[tex] = \frac{3}{4} [/tex]

Thus,

[tex] = \frac{ - 3}{4} + 16[/tex]

Convert 16 to fraction :

Apply the fraction rule

[tex]a = \frac{ab}{b} [/tex]

[tex] = \frac{16.4}{4} [/tex]

Multiply the numbers 16.4=64

[tex] = \frac{64}{4} [/tex]

[tex] = - \frac{3}{4} + \frac{64}{4} [/tex]

Apply the fraction rule

[tex] \frac{a}{c} + \frac{b}{c} = \frac{a + b}{c} [/tex]

[tex] = \frac{ - 3 + 64}{4} [/tex]

Add the numbers -3+64 ==61

[tex] = \frac{61}{4} [/tex]

Hope it helps !!

The credit that is left on the card after Keith uses it for 30 minutes of calls is $48.35.

From the information given, Keith purchased a prepaid phone card for $50.75. Calls cost 8 cents a minute using this card

The equation was given as C=50.75-0.08x

Therefore, the credit that is left on the card after Keith uses it for 30 minutes of calls will be:

C=50.75-0.08x

C = 50.75 - 0.08(30)

C = 50.75 - 2.40

C = $48.35

The credit is $48.35.

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The mean rate the Grand Canyon has been eroded into the Colorado plateau within the past 6 million years is [tex] \frac{4 }{15} \: mm/year [/tex]

The possible part of the question as obtained from a similar question includes;

The time at which the western Grand Canyon began to be evacuated by river erosion = 6 million years ago

The depth of the Grand Canyon = 1.6 km

(a) The average value or the mean is given by the formula;

[tex]Average = \frac{Depth \: of \: erosion }{Time \: taken } [/tex]

The depth of erosion = 1.6 km

Time of erosion = 6 million years

The average rate at which the Grand Canyon has been eroded into the Colorado plateau is therefore;

[tex]Average = \frac{1.6 \: km }{6 \times {10}^{6} \: years} [/tex]

1.6 km = 1,600,000 mm

Therefore;

[tex]Average = \frac{1600000 \: mm }{6 \times {10}^{6} \: years} = \frac{4 }{15} \: mm/year [/tex]

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Answer:

51 and 12

Step-by-step explanation:

    ➲ Let a be the bigger number

    ➲ Let b be the smaller number

         [tex]a = 3b + 15\\a = 3 \cdot b + 15\\a + b = 63\\\bold{Solve:b}\\3b + 15 + b = 63\\3b + b = 4b\\4b + 15 = 63\\4b = 63 - 15\\4b = 48\\b = 12\\\\\bold{Solve:a}\\a = 3b + 15 \rightarrow a = 3 \cdot 12 + 15 = 51[/tex]

Thus,

b = 12, a = 51

_______________________________

Wrapping up:

➲ Hope this helps.

➲ Address concerns if needed.

➲ Have a great day!

Answer:

20000 rabbits

Step-by-step explanation:

An advantage of a cumulative frequency polygon over a histogram or frequency polygon is that: it can directly compare two or more frequency distributions.

Now,

Hence, an advantage of a cumulative frequency polygon over a histogram or frequency polygon is that: it can directly compare two or more frequency distributions.

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The time taken before the two automobiles meet is determined as 1.33 hours.

Apply the principle of relative velocity as shown below;

Vat + Vbt = D

(Va + Vb)t = D

where;

(20 + 25)t = 60

45t = 60

t = 60/45

t = 1.33 hours

Thus, the time taken before the two automobiles meet is determined as 1.33 hours.

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Step-by-step explanation:

A has no solution.

15x - 45 = 15x + 75

-45 = 75

is false for every value of x.

in other words, when you add to the same thing different amounts, the result cannot be identical ever.

B has a solution

-45x - 45 = -75x + 75

-120x = 120

-x = 1

x = -1

C has a solution

45x - 45 = -15x + 75

60x = 120

x = 2

D has a solution

15x - 45 = 75x + 75

-120 = 60x

-2 = x

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

We know

The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.

Here,

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here

Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

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The phrase "Degrees of Freedom" in the computation of sample standard deviation is, n - 1.

Degrees of freedom:

Degrees of freedom refers to the maximum number of logically independent values, which are values that have the freedom to vary, in the data sample.

Degrees of freedom is calculated by subtracting one from the number of items within the data sample.

Given,

Here we need to find the meaning for the phrase​ degrees of​ freedom as it pertains to the computation of the sample standard​ deviation

It means, There are n-1 degrees of freedom in the computation of s because an unknown parameter is estimated by the sample mean.

For each parameter estimated, 1 degree of freedom is lost.

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Answer: 99 x 76= 7524

Step-by-step explanation:

Answer:

7524

Step-by-step explanation:

A) The rate for the first 3 years :

15,600 - 7500 = 8100

8100/3 years = 2,700 per year depreciation.

B) The rate between 3 and 8 years:

7500 - 2800 = 4700

4700 / 5 year = 940 per year depreciation.

C) the value of the machine depreciated at a higher rate in the first 3 years. After the first 3 years, the depreciation rate decreased.

Answer:

x = -5

Step-by-step explanation:

Im not very sure but here it is. =D

Tell me if it helps you.

Answer: 11

Step-by-step explanation: 132/12 = 11

You divide the actual car length by the model and you get the scale factor.

The scale factor of the model to the actual car is 1/11 inches.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).

Given:

A small model car is 12 inches long and the actual car is 132 inches long.

To find the scale factor:

When both the original dimensions and the new dimensions are known, the scale factor may be determined.

The following is a basic formula to determine a figure's scale factor:

Scale factor = Dimension of the new model ÷ Dimension of the actual car

Scale factor = 12 / 132

Scale factor = 1/11

Therefore, the scale factor is 1/11 inches.

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If 51% of people owns dogs and you randomly pick two people,  then probability that they both own a dog is 0.2601

Given,

The percentage of people own dogs= 51%

We know,

Probability = Number of favorable outcomes / Total outcomes.

If you choose random guy and probability that guy own a dog = 0.51

Here the probability of having a dog is independent events

Then,

Probability that they both own a dog = Probability of first person own a dog × Probability of second person own a dog

= 0.51×0.51

=0.2601

Hence, If 51% of people owns dogs and you randomly pick two people,  then probability that they both own a dog is 0.2601

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The bending strength of beams by bending 10 beams untll they break will be estimated as-

Flexural strength is a material property that refers to the highest stress in a material well before yielding in a bending test. It is also recognized as bending strength or transverse rupture strength.

Some key features regarding the bending strength are-

Flexural strength is defined as the maximum tensile stress value under bending before the beam and rod fails.

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Answer:

10 units

Step-by-step explanation:

calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (3, - 6 ) and (x₂, y₂ ) = (3, 4 )

d = [tex]\sqrt{(3-3)^2+(4-(-6))^2}[/tex]

  = [tex]\sqrt{0^2+(4+6)^2}[/tex]

  = [tex]\sqrt{0+10^2}[/tex]

  = [tex]\sqrt{0+100}[/tex]

  = [tex]\sqrt{100}[/tex]

  = 10

The equation using the polynomial function is a x⁴ - 6x³ + 7x² + 6x - 8.

According to the statement

We have to find that the equation using the polynomial function.

So, For this purpose, we know that the

A polynomial function is a function that involves only non-negative integer powers or only positive integer exponents of a variable in an equation

From the given information:

The standard form with zeros 1,-1, 2, and 4:

Polynomial with Zeros 1, - 1, 2 and 4 can be expressed thus :

x = 1 : x - 1

x = - 1 :x + 1

x = 2 :x - 2

x = 4 :x - 4

Hence, we have :

(x - 1)(x + 1)(x - 2)(x - 4) = 0

We can then expand ;

(x - 1)(x + 1) = x² + x - x - 1 = x² - 1

(x² - 1)(x - 2) = x³ - 2x²-x + 2

(x³ - 2x² - x + 2)(x - 4)

x⁴ - 4x³ - 2x³ + 8x² - x² + 4x + 2x - 8

x⁴ - 6x³ + 7x² + 6x - 8.

So, The equation using the polynomial function is a x⁴ - 6x³ + 7x² + 6x - 8.

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The typical household income in both cities is $80,000.

The distribution is more evenly distributed in Statstown . At least 25% of the total values in Medianville are between $60,000 and $80,000, as can be shown. As a result, more than 25% of people have annual incomes between $50,000 and $80,000. 25% of people in Statstown make between $40,000 and $80,000 per year. Therefore, less than 25% of people have annual salaries between $50,000 and $80,000.

What proportion of Americans earn more than $100,000 annually?

In 2020, 24% of Americans had a yearly salary of over $100,000. 34% of American households have a yearly income of $100,000 or more. American households making over $100,000 annually climbed by 4.1% in the five years leading up to 2022.

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The lower quartile of the data is said to fall between  1.5 and 2.5 respectively in the box plot that we have here.

The lower quartile is the lower 1/4th of the data distribution. It is the 25th percentile of the distribution that we have in the question.

This point is what is marked at the starting point of the box that we have in this question.

The lower quartile is given by 2 and we can see that that it is bounded by the two numbers of 1.5 and 2.5.

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The difference between partitioning a directed line segment MN in a 2:7 ratio versus a 7:2ratio because of following

To understand this let us take the line segment MN which is of a length is divided into 9 equal parts. Here, we are dividing it into nine parts because the proportions 2 and 7 make a sum of 9.

When we divide the line segment MN in the ratio 2:7, the first two parts out of the nine from the left side are separated from the rest 7. This means that the first proportion from the left hand side of the line is smaller than the other.

Now, when we divide the line segment MN in the ratio7:2, the first seven parts out of the nine from the left side are separated from the rest two. This means that the first proportion from the left hand side of the line is larger than the other.

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The answer is 23

Step-by-step explanation:

7 + 2^4 ÷ 4 + 2(3² × 2 ÷ 6 + √9)

7 + 16 ÷ 4 + 2(9 × 2 ÷ 6 + √9)

7 + 4 + 2(3 + 3)

11 + 2(6)

11 + 12

= 23

Answer:

I believe I did it right. I solved it with distance formula.

Answer : D =

[tex] \sqrt{104} [/tex]

= 10.2

Answer:

I answered you in another answer

Step-by-step explanation: