miss austin gives her class 6 sets of data and asks them to identify which data set can most accurately be summarized by the mean. what topic is she covering?

Answer: 36

Step-by-step explanation: (-2) x 6 x (-3)

To find two real numbers that have a sum of 14 and a product of 38, we can set up a system of equations. Let's call the two numbers x and y.

From the problem statement, we have the following information:

Equation 1: x + y = 14 (sum of the two numbers is 14)

Equation 2: xy = 38 (product of the two numbers is 38)

To solve this system of equations, we can use substitution or elimination method. Let's solve it using substitution:

From Equation 1, we can express y in terms of x by subtracting x from both sides:

y = 14 - x

Now we substitute this value of y into Equation 2:

x(14 - x) = 38

Expanding the equation, we have:

14x - x^2 = 38

Rearranging the equation to bring it to quadratic form:

x^2 - 14x + 38 = 0

Now we can solve this quadratic equation. We can either factorize it or use the quadratic formula. However, upon examining the equation, we find that it doesn't factorize easily. Therefore, we'll use the quadratic formula:

x = (-b ± √(b^2 - 4ac)) / 2a

For our quadratic equation, the coefficients are:

a = 1, b = -14, c = 38

Substituting these values into the quadratic formula, we have:

x = (-(-14) ± √((-14)^2 - 4(1)(38))) / (2(1))

x = (14 ± √(196 - 152)) / 2

x = (14 ± √44) / 2

x = (14 ± 2√11) / 2

Simplifying further, we have:

x = 7 ± √11

So we have two possible values for x: 7 + √11 and 7 - √11.

To find the corresponding values of y, we can substitute these values of x back into Equation 1:

For x = 7 + √11, y = 14 - (7 + √11) = 7 - √11

For x = 7 - √11, y = 14 - (7 - √11) = 7 + √11

Therefore, the two real numbers that have a sum of 14 and a product of 38 are (7 + √11) and (7 - √11).

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Answer:

−4.6+(−0.4)+(−7.2) =−4.6−(0.4+7.2)

Step-by-step explanation:

The value of the range of the function at a domain value of 1/3 as given in the task content is; 29/3.

It follows from the task content that the range value which corresponds to the domain value of 1/3 as in the task content is to be determined.

Since the domain of a function is the set of all possible input values, x while the range is the set of all possible output values, y / f(x).

The value of the range based on the given function, f(x) = 2x² + 3 as required in the task content is therefore;

f (1/3) = 2 (1/3)² + 3

f(1/3) = 2/9 + 3

f(1/3) = 29/3.

Ultimately, the required range value of the function is; 29/3.

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In a normal distribution, approximately 89% of the observations are expected to be contained within 1.25 standard deviations of the mean.

This can be determined using the empirical rule, also known as the 68-95-99.7 rule, which states that:

- Approximately 68% of the observations fall within 1 standard deviation of the mean.

- Approximately 95% of the observations fall within 2 standard deviations of the mean.

- Approximately 99.7% of the observations fall within 3 standard deviations of the mean.

Since 1.25 standard deviations is between 1 and 2 standard deviations, we can estimate that about 89% of the observations will fall within this range.

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The answers to all parts shown below.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

1. 3x² + 4x² = 35

7x² = 35

x² = 5

x = ±√5

2. 3x² - 28= 2x² + 33

x² = 61

x = ±√61

3. x²-25= 25

x² = 50

x = ±5√2

4. 2x² - 30 = 70

2x² = 100

x² = 50

x= 5√2

5. 8x² - 6x² = 54

2x² = 54

x² = 27

x= 3√3

6. 3x² - 6 = 34 - 2x²

5x² = 40

x² = 8

x = 2√2

7. x²+49 = 196

x²= 174

x= 7√3

8. 5x² – 40 = 100

5x² = 140

x² = 28

x= 2√7

9. 9x² = 4x² + 10

5x² = 10

x= √2

10. x²-4=80

x² = 84

x= 2√21

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The equation of the line will be y = 1/3x. The correct option is F.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

The slope of the line is calculated as,

\(m = \dfrac{y_2-y_1}{x_2-x_1}\)

The two points are (6,2) and (0,0). Calculate the slope of the line,

\(m = \dfrac{0 - 2}{0-6}\)

m = 1 / 3

The equation of the line can be written as,

y = mx +c

y = 1/3x + 0

y = 1/3x

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The cost of the wood will be $1,238.32177

What is Volume of a cylinder ?

The formula for calculating the volume of a cylinder is expressed as:

V = \(\pi\)\(r^{2}\)h

where:

r is the radius

h is the height

Given the following parameters

r =  0.75ft

h = 45ft

Get the volume of the cylinder

V = \(\pi\)\(r^{2}\)h

V = (3.14)(0.75)(0.75)(45)

V = 79.4815\(ft^{3}\).

If the wood costs $15.58 per cubic foot, hence the cost of the wood will be 79.4815 * 15.58 = $1,238.32177

Hence , The cost of the wood will be $1,238.32177

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y = 7

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

Step-by-step explanation:

6x -6Y = 18

6 × 10 -6y = 18

60 -6y = 18

-6y = 18 -60

-6y = -42

y = -42/-6

y = 7

The area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

It is defined as the mathematical calculation by which we can sum up all the smaller parts into a unit.

We know the area in the polar coordinates is given by:

\(\rm A =\int\limits^a_b {\dfrac{1}{2}r^2} \, d\theta\)

We have r = sin2θ

Here the quadrant is not given, so we are assuming we need to find the area in the first quadrant.

Put this value in the above integration and limit 0 to π/2

\(\rm A =\int\limits^{\dfrac{\pi}{2}}_0 {\dfrac{1}{2}(sin^22\theta)} \, d\theta\)

After solving the above integration, we get:

\(\rm A = \dfrac{\pi}{8}\)

Thus, the area of the region enclosed by the petal of a rose curve r = sin2θ in the first quadrant is π/8 square units

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Answer:

I can't read it.

Step-by-step explanation:

Answer:

8 decimeter are 800 millimeters

Step-by-step explanation:

Just multiply the length value by 100

Hope this helps :)

Pls brainliest...

Answer: 8 decimeters equals 800 millimeters.

Step-by-step explanation:

We know that,

1 decimeter = 100 millimeter

Therefore, To convert decimeters to millimeters, we have to multiply it by 100.

Hence, mm= dm*100

                   = 8*100

                   = 800

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Calculate the row tension by measuring down your knitting tension square.

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Answer:

It looks like the Bears have the higher wins, as they won 40 games while the Bulls won only 32 games.

You need an interest rate of approximately 6.95% to double your money in 10 years with monthly compounding.

The formula to calculate compound interest is given by:

A = P(1 + r/n)^(nt)

Where:

A = the future value of the investment

P = the initial deposit or principal ($1000 in this case)

r = the interest rate (as a decimal)

n = the number of times that interest is compounded per year

t = the number of years

Since the goal is to double the money in 10 years, we can set the future value equal to 2P:

2P = P(1 + r/n)^(nt)

Dividing both sides by P:

2 = (1 + r/n)^(nt)

Taking the natural logarithm of both sides:

ln(2) = nt ln(1 + r/n)

Dividing both sides by ln(1 + r/n):

nt = ln(2)/ ln(1 + r/n)

compounded monthly, so n = 12. Also t = 10

12*10 = ln(2)/ ln(1 + r/12)

ln(1 + r/12) = ln(2)/ 120

Taking the exponential of both sides:

1 + r/12 = e^{ln(2)/ 120}

r = 12* ( e^{ln(2)/ 120} - 1)

r = 0.0695

r = 6.95 %

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Answer: and where do they need to use the bathroom

On these days the kids have to play inside

Step-by-step explanation:

A mother kangaroo is unhappy when it rains because it can harm her offspring.

Rain poses a threat to the well-being of a mother kangaroo's offspring. When it rains, the pouch of a kangaroo can become damp and uncomfortable potentially leading to health issues for the joey inside.

Also, the wet conditions make it challenging for the mother kangaroo to find suitable food and shelter further endangering the survival of her young one. Therefore, the rain brings about concerns and discomfort for the mother kangaroo prompting her unhappiness.

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First we add 0.3 to 3.7, that way we will have an integer and it would be more easy to make the operations. Then we have 4.

Then we can substract the 4 to the 9.4, getting 5.4.

Finally we add once again 0.3 (because in the difference we have an extra .3) to the 5.4, getting 5.7.

Then Tamela swims 5.7 more than Blake every day.

Answer:

At 10 weeks

Step-by-step explanation:

100+15x=150+10x

15x=50+10x

5x=50 divided both sides by 5 and x=10

The probability that the student will fail, given that he guesses the answers, is 0.227.

Since there are only two possible outcomes for each question (true or false),

the probability of guessing a correct answer is 1/2 = 0.5.

Likewise, the probability of guessing a wrong answer is also 1/2 = 0.5.

To find the probability of failing the exam,

we need to find the probability of answering less than 11 questions correctly.

Using the binomial probability formula,

the probability of getting k successes (correct answers) in n trials (questions) is given by:

P(k) = (n C k) * p^k * q^(n-k)

where p is the probability of success (getting a correct answer),

q is the probability of failure (getting a wrong answer), and (n C k) is the number of combinations of n things taken k at a time.

In this case,

n = 17, p = 0.5, and

q = 0.5.

The number of ways to get less than 11 correct answers is:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)P(X = k) = (n C k) * p^k * q^(n-k)

Substituting the values:

P(X < 11) = P(X = 0) + P(X = 1) + ... + P(X = 10)

P(X = 0) = (17 C 0) * (0.5)^0 * (0.5)^17 = 0.0015

P(X = 1) = (17 C 1) * (0.5)^1 * (0.5)^16 = 0.0146

P(X = 2) = (17 C 2) * (0.5)^2 * (0.5)^15 = 0.0586

P(X = 3) = (17 C 3) * (0.5)^3 * (0.5)^14 = 0.1558

P(X = 4) = (17 C 4) * (0.5)^4 * (0.5)^13 = 0.268

P(X = 5) = (17 C 5) * (0.5)^5 * (0.5)^12 = 0.327

P(X = 6) = (17 C 6) * (0.5)^6 * (0.5)^11 = 0.2732

P(X = 7) = (17 C 7) * (0.5)^7 * (0.5)^10 = 0.1537

P(X = 8) = (17 C 8) * (0.5)^8 * (0.5)^9 = 0.0573

P(X = 9) = (17 C 9) * (0.5)^9 * (0.5)^8 = 0.013

P(X = 10) = (17 C 10) * (0.5)^10 * (0.5)^7 = 0.0015

Therefore, P(X < 11) = 0.0015 + 0.0146 + 0.0586 + 0.1558 + 0.268 + 0.327 + 0.2732 + 0.1537 + 0.0573 + 0.013 + 0.0015P(X < 11) = 0.8857

Thus, the probability of failing is: P(fail) = P(X < 11) = 0.8857

The probability that the student will fail, given that he guesses the answers, is 0.227 (rounded to three decimal places).

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Answer:

555 m

Step-by-step explanation:

Because the model should have identical proportions to the real-life tower, the ratio between the height and shadow length of both diagrams should be the same.

Height (model)             Height (real)
-------------------------  =  ------------------------
Shadow (model)         Shadow (real)

Math:

 0.9 meters                   x
--------------------  =  ----------------------               <----- Ratio
 0.2 meters           123.3 meters

4.5 = x / 123.3 meters                                  <----- Divide 0.2 from 0.9

555 meters = x                                            <----- Multiply both sides by 123.3

The perimeter of the given figure is 22.56 units respectively.

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter.

A circle's or an ellipse's circumference is referred to as its perimeter.

There are numerous uses in real life for perimeter calculations.

The distance around an object is called the perimeter. For instance, the yard of your home is fenced in.

The fence's length serves as the perimeter.

Your fence is 200 feet long if the yard is 50 feet by 50 feet.

So, the perimeter of the figure would be:

Semicircle + Semicircle = Circle

Now, the perimeter of the circle: r = 4/2 = 2

= 2πr

= 2*3.14*2

= 12.56

Perimeter = 12.56 + 5 + 5

Perimeter = 22.56 units

Therefore, the perimeter of the given figure is 22.56 units respectively.

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There are 166 integers between 1 and 1000 that are divisible by 3 and 5.

1000/3 = 333.3333

1000/5 = 200

333.3333 * 200 = 66,666.66

66,666.66 / 15 = 4444.444

4,444.444 rounded to 4,445

4,445 - 1 = 4,444

4,444 + 1 = 4,445

4,445 integers between 1 and 1000 that are divisible by 3 and 5.

There are 4,445 integers between 1 and 1000 that are divisible by both 3 and 5. The calculation to determine this is 1000 divided by 3, then 1000 divided by 5, then multiplying the two numbers together, then dividing by 15 and rounding the result to the nearest integer, then subtracting and adding 1 to the result.

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Answer:

100 years is a century

Step-by-step explanation:

Answer:

X+4+2

=X+6

Step-by-step explanation:

not sure if this correct or not

The correct expression is,

⇒ (x + 4) / 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

The quotient of the sum of x plus 4 and 2.

Now, We can formulate;

⇒ (x + 4) / 2

Thus, The correct expression is,

⇒ (x + 4) / 2

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To complete the diagram we recall that Alberta and Ontario are providences of Canada but the rest are not.

Answer:

The power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.P({a, b}) and P({0, 1}) are different sets.

The set of P({a,b}), also denoted as 2^{a,b}, represents the power set of the set {a, b}. The power set of a set is the set that contains all possible subsets of the original set, including the empty set and the set itself.

In this case, we have the set {a, b}, where a and b are elements of the set.

The power set of {a, b} is obtained by considering all possible combinations of elements from the original set.

The possible subsets of {a, b} are:

- The empty set: {}

- Individual elements: {a}, {b}

- The set itself: {a, b}

Therefore, the power set of {a, b}, or P({a, b}), is {{}, {a}, {b}, {a, b}}.

Now, let's consider P({0, 1}). Following the same process, we obtain the power set of {0, 1} as {{}, {0}, {1}, {0, 1}}.

Hence, P({a, b}) and P({0, 1}) are different sets.

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