Which of the following is NOT an impact of American consumerism?
A. Exorbitant personal debts
B. Lack of unemployment and homelessness
C. Cash generators for several nations
D. Stress

Answer:

a) 75%.

b) 84%

c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100(1 - \frac{1}{k^{2}})\).

In this question:

Mean: 6.3 hours

Standard deviation: 1.6 hours

(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.

3.1 = 6.3 - 2*1.6

9.5 = 6.3 + 2*1.6

Within 2 standard deviations, so the minimum percentage is 75%.

(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.

How many standard deviations from the mean?

One standard deviation is 1.6

These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which

\(k = \frac{4}{1.6} = 2.5\)

The minimum percentage is:

\(100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%\)

So 84%.

(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.

Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Answer: 1.) x+9=12

                 Sol ?

               or, x=12-9

               or, x=3

               2.) s-1=10

                  Sol ?

                or, s = 10+1

                or, s=11

               3.) 3 = z-11

                 Sol ?

                or, 3+11 = z

                or, 14 = z

Step-by-step explanation:

The system B is gotten from system A by operation (d)

From the question, we have the following parameters that can be used in our computation:

x + y = 8

4x - 6y = 2

Also, we have the solution to be (5, 3)

Recall that

x + y = 8

4x - 6y = 2

Multiply the first equation by 6

So, we have

6x + 6y = 48

4x - 6y = 2

Add the equations

10x = 50

This means that the system B from system A is (d)

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keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

\(x-y=8\implies -y=-x+8\implies y=\stackrel{\stackrel{m}{\downarrow }}{1}x-8\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ 1 \implies \cfrac{1}{\underline{1}}} ~\hfill \stackrel{reciprocal}{\cfrac{\underline{1}}{1}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{\underline{1}}{1} \implies \text{\LARGE -1}}}\)

The following elements were included in the response: labeling x-axis as age, labeling y-axis as texting speed, plotting points according to age and texting speed, and identifying a relationship between texting speed and age.

In the response, the following elements were included:

1. Labeling the x-axis as the input variable, age: This is important to indicate the independent variable being plotted.

2. Labeling the y-axis as the output variable, texting speed: This is crucial to indicate the dependent variable being represented.

3  Plotting the points according to age and texting speed: This involves placing the ordered pairs (age, texting speed) on the coordinate plane, with age values on the x-axis and texting speed values on the y-axis.

4. Identifying a relationship between the change in texting speed as age increases: By analyzing the plotted points and examining the pattern or trend, one can determine if there is a relationship between age and texting speed. For example, if the texting speed generally increases as age increases or if there is a linear or nonlinear relationship between the two variables.

Including all of these elements allows for a comprehensive analysis of the relationship between age and texting speed, providing a visual representation and enabling the identification of any patterns or trends.

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Answer:

D. Because no x values can repeat.

Answer:

D, g(x) = 1/4 x^2

Step-by-step explanation:

You can try plugging in the x and y values into each equation. The answer to this would be D, where if you plug in 2 as the x value, you get 1/4 * 4 which equals 1. This also makes sense because 2x would have a narrower curve while 1/2x would have a wider curve.

The expression that shows the number of boxes ordered is 8p.

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

Since the school custodian ordered p rolls of paper towels and the paper towels are sold in boxes of eight.

The expression will be:

= Number of rolls × 8

= p × 8

= 8p

The expression is 8p.

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This is just a guess from doing the math, but I think the answer is -1u. Sorry if its wrong

Answer:

-5(u+1)

Step-by-step explanation:

hopefully the answer helps

Answer:

Step-by-step explanation:

A. -6/8=-3/4

B.6/(-8)=-3/4

C. 0/8=O

D.6/0=Undefine

The statement about the linear equation 3a + 1/3(6a −9) = 1/2(10a − 6) that is true is: "The equation has an infinite number of solutions." (Option B)

A linear equation is defined as an equation with a maximum of one degree. A nonlinear equation is one with a degree greater than or equal to two.

On the graph, a linear equation looks like a straight line. On the graph, a nonlinear equation creates a curve.

To justify the above answer, we state the linear equation above:


3a + 1/3(6a −9) = 1/2(10a − 6) ; Simplified by opening the brackets, we have

3a + 2a − 3 = 5a − 3; collecting like terms on the left side, we have

5a -3 = 5a -3

Because 5a -3 = 5a -3, the expression holds true regardless of what integer or value a represents. Hence, it has an infinite number of solutions.

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The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

T,F,T,T

Step-by-step explanation:

I’m not sure how technical they’re being with the last prompt but he would actually make 108 checkouts by clock out time. Sooo I’d say true, since he made more than inferred, rather than less.

Answer:

The first one is technically both because he will complete 18 every hour, not 16

The second one is false

Third one is true

and the fourth one is kind of like the first one where he will complete 108 in the span of 6 hours which is more than expected

Hope this helps

Step-by-step explanation:

the graph of the equation y = 2 x - 2 is being obtained.

We are given the equation:

y = 2 x - 2

We need to make the graph of the equation.

We will first find some points on this equation:

x              y

0             -2

1               0

2              2

3              4

4              6

5              8

Now, we will plot these points on the graph and join them with a dark line to obtain the graph of the equation y = 2 x - 2.

Therefore, the graph of the equation y = 2 x - 2 is being obtained.

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Answer: 11

Step-by-step explanation:

area = 121 pi  = pi r^2      Divide both sides by pi

            121 = r^2

               r= 11

The correct answer is C

Step-by-step explanation:

I found this because the pond already has 3000 fish so y can not be less than 3000.  Thus eliminating choice A since it says y>-3000.

That reasoning also eliminates answer D because real numbers can also include negatives.

Finally, since y has to be greater than 3000, answer B is not possible as it says y>0 which means it could be less than 3000.

In conclusion, Answer C is correct

Using function concepts, it is found that:

a) Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.

b) If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.

c) if f(x) = 2, x = 16, so point (16,2) is on the graph of f.

d) The domain is all real numbers except x = 4.

e) The x-intercept is of x = -8.

f) The y-intercept is of y = -2.

The function is given by:

f(x) = (x + 8)/(x - 4).

Hence, when x = 3:

f(3) = (3 + 8)/(3 - 4) = 11/-1 = -11.

Hence:

Point (3,-13) is not on the graph, because substituting x = 3 on the equation does not result in 13.

When x = 1, we have that:

f(1) = (1 + 8)/(1 - 4) = 9/-3 = -3.

If x = 1, f(x) = -3, hence point (1,-3) is on the graph of f.

For f(x) = 2, we have that:

2 = (x + 8)/(x - 4)

2x - 8 = x + 8

x = 16.

Hence:

if f(x) = 2, x = 16, so point (16,2) is on the graph of f.

The domain of a function is the set that contains all possible input values of the function.

This function is a fraction, meaning that the denominator cannot be zero, so:

x - 4 = 0 -> x = 4.

Hence:

The domain is all real numbers except x = 4.

For this problem, we have that:

f(x) = 0.

(x + 8)/(x - 4) = 0.

x + 8 = 0

x = -8.

f(0) = 8/-4 = -2.

Hence:

e) The x-intercept is of x = -8.

f) The y-intercept is of y = -2.

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Answer:

4 lines

Step-by-step explanation:

We know that a parallelogram is constructed using two parallel lines intersecting other pairs of parallel lines so basically we require 4 lines to construct a parallelogram.

Answer:4

Step-by-step explanation:

The values of Mean = 6.3 and Median = 6

A dot plot is a type of data visualization that displays data points as dots on a number line. Each dot represents a single data point and is placed at the corresponding value on the number line.

Here, each dot corresponds to a particular value in the data set, below diagram.

Mean: The mean is calculated by dividing the total value of all the data sets by the total number of data sets.

You can figure out the total as follows:

0 (1) = 0            4 (3) = 12             5(8) = 40          6(3) = 18

7(1) = 7              8(5) = 40             9(2) = 18           10 (3) = 30

Sum = 0+12+40+18+7+40+18+30 = 165

Number of data set = 26

⇒Mean = 165/26

             = 6.346 ≈ 6.3               (nearest tenth place)

⇒Median: The center value in the data collection is known as the median. Since there are 26 data points total, the middle value is located between data points 13 and 14. The median value will be determined by averaging the 13th and 14th data points.

So, the 13th and 14th values both are 6.

Therefore, median = {6+6} ÷ 2 = 12/2 = 6

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Complete Question-

Answer:

E. 425

Step-by-step explanation:

Assuming that since there are 17 deer in one square, there must be 17 in each square, and knowing there are 25 squares, the answer is equal to 17*25 = 425

Answer:

this is hard

Step-by-step explanation:

is it trigonometry?

Answer:

Step-by-step explanation:

Top base:

Left leg:

Bottom base:

Right leg:

Perimeter:

Answer:

7/12

Step-by-step explanation:

The first step is converting the mixed fractions to improper fractions (meaning there will be more in the numerator than denominator). So:

2 & 1/3 is equal to 6/3 + 1/3 = 7/3, since we take the whole number and multiply it by the denominator, then put it over the denominator. Another way of looking at this is what divided by the denominator (3) will get us 2, which, in this case, is 3. Then 1 & 3/4 is 4/4 + 3/4 = 7/4.

The next step is: when subtracting fractions, the denominators must always be the same. So you must set the denominators of 7/3 & 7/4 to be the same, by finding the least common denominator. In this case, it is 12, since 4 & 3 can both be multiplied to get 12.

\(\frac{7}{3} * \frac{4}{4} = \frac{28}{12}\)

and

\(\frac{7}{4} * \frac{3}{3} = \frac{21}{12}\)

Then, you take the difference between these two fractions:

\(\frac{28}{12} - \frac{21}{12} = \frac{7}{12}\)

So, your final answer is 7/12.

Hopefully this helped you understand the topic better, sorry if my explanation is a little confusing. Good luck in your studies & have a wonderful day!

Answer:

Polygon A: A, D, E

Polygon B: F, G, H

Polygon C: K, L, M, N, O

Polygon D: S, T

Step-by-step explanation:

Answer:

I think its C

Step-by-step explanation:

Answer:

Hope this helps ;) don't forget to rate this answer !

Step-by-step explanation:

The area of a rectangle is given by the formula A = lw, where l is the length of the rectangle and w is the width. Therefore, to find the dimensions of the rectangle, we can set up the equation 4p² + 12p = lw.

To solve this equation, we can first distribute the 4p² on the left side of the equation to get 4p² + 12p = 4p²l + 12pw. Then, we can rearrange the terms to get 12pw - 4p²l = 0.

To solve this equation for w, we can divide both sides by 4p(p - l), which gives us w = 3l/4p.

Therefore, the dimensions of the rectangle are l and 3l/4p. You can choose any value for l and then use the equation above to find the corresponding value for w. For example, if you choose l = 4, then w = 3(4)/4p = 3/p.

To draw, first, decide on a value for the length of the rectangle, l. Then, use the equation w = 3l/4p to calculate the corresponding value for the width of the rectangle, w.

Next, use the ruler or straight edge to draw two straight lines that are perpendicular to each other, forming the sides of the rectangle. The length of the rectangle should be equal to l, and the width of the rectangle should be equal to w. Make sure to label the length and width on your drawing.

Answer:

Final cost of the item is $19.55

Step-by-step explanation:

Expression representing the final cost of an item with original price = $p and discount = 15% will be,

Final cost = (p - 0.15p)

If the original price p = $23

By substituting p = 23 in the expression given,

Final cost after discount = 23 - (0.15)23

                                         = 23 - 3.45

                                         = $19.55

Therefore, final cost of the item is $19.55

Answer:

30 and 36

Step-by-step explanation:

six times two equals 12

6 * 3 = 18

and six times four equals 24.

to get the next two multiples, You need to multiply 6 by 5, and then 6

6 * 5 = 30 and 6 * 6 = 36

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

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