when does a parametric equations describe a physical situation where a standard relationship between two variables does not suffice

Answer:

1st page:

   place a segment from -2 to 3

2nd page

   place place 2 rays one from -1 to -7 and the other on 5 to 7

Step-by-step explanation:

Answer:

\(\boxed{\frac{5}{8} x^8 + c}\)

Step-by-step explanation:

\(\int\limits {5x^7} \ dx\)

\(= \frac{5}{8} x^8 + c\)

the answers is 5/8 x⁸ + c

In a list of measurements in increasing order: 4, 5, 6, 8, 10, and x, the value of x is 16.

To get the value of x, we will use algebraic expressions to demonstrate the given relationships.

If the median of these measurements is ​six sevenths​ times their arithmetic mean, then:

median = 6/7 x mean

Median (Md), is a single value at the middle of the data values arranged in increasing or decreasing order. On the other hand, arithmetic mean (μ) is the sum of the data values divided by its total number.

For the list of measurements in increasing order is 4, 5, 6, 8, 10, and x,

The median is between 6 and 8.

Md = 6+8/2

Md = 7

Evaluating the first equation using Md = 7:

median = 6/7 x mean

7 = 6/7 x mean

mean = 49/6

By definition,

mean = (4 + 5 + 6 + 8 + 10 + x)/6

Equating both equations for the mean:

49/6 = (4 + 5 + 6 + 8 + 10 + x)/6

49 = 33 + x

x = 16

Hence, the value of x is 16.

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Answer:

1/4 of 32= 8

Step-by-step explanation:

Hope this helps :)

The value of x in the congruent triangle is 5.

Two triangles are said to be congruent if pairs of their corresponding sides and their corresponding angles are equal.

Therefore, the triangles are similar.

ΔDEF ≅ ΔABC

Hence, the corresponding sides are the same. Let's find x.

4x + 4 = 5x - 1

4x - 5x = -1  - 4

-x = -5

divide both sides by -1

x = -5 / -1

x = 5

Therefore,

x = 5

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Answer:

200.96

Step-by-step explanation:

2πr is the perimeter or circumference of a circle

.

diameter is 32cm so radius=16cm

2*3.14*16=100.48cm is long

True A statement contradicting the claim in the null hypothesis about a population parameter is classified as the alternative hypothesis

In hypothesis testing, there are two types of hypotheses - the null hypothesis (H₀) and the alternative hypothesis (H₁). The null hypothesis is a statement about a population parameter that assumes no significant difference or effect, while the alternative hypothesis is a statement that contradicts the null hypothesis, suggesting a significant difference or effect in the population parameter.

When conducting a hypothesis test, researchers first establish the null hypothesis, which generally assumes no significant relationship between the variables being studied. The alternative hypothesis is then formulated to contradict the null hypothesis, essentially stating that there is a significant relationship between the variables. During the hypothesis testing process, statistical tests are used to determine whether the data provides enough evidence to reject the null hypothesis in favor of the alternative hypothesis or not.

The statement that "a statement contradicting the claim in the null hypothesis about a population parameter is classified as the alternative hypothesis" is indeed true. The alternative hypothesis serves as a contradiction to the null hypothesis, allowing researchers to explore whether there is a significant relationship or effect in the population parameter being studied.

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It (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

In statistics, a simple random sample (or SRS) is a subset of people (a sample) picked at random from a larger group of people (a population), all with the same probability.

It is a method of choosing a sample at random. Each subset of k people in SRS has the same chance of getting selected for the sample as any other subset of k people.  

An objective sampling strategy is a straightforward random sample. Simple random sampling is a fundamental kind of sampling that can be used in combination with other, more sophisticated sampling techniques.

So, in the given situation of Mr. Goodmain and with all the information given we can conclude that it cannot be concluded that there is a statistically significant difference in Mr. Goodman’s evaluations and the History Department’s.

Therefore, it (B) cannot be determined that there is a statistically significant difference between Mr. Goodman's ratings and those of the History Department in the context of Mr. Goodmain and with all the material provided.

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Complete question:

Students at a high school are asked to evaluate their experience in the class at the end of each school year. The courses are evaluated on a 1-4 scale – with 4 being the best experience possible. In the History Department, the courses typically are evaluated at 10% 1’s, 15% 2’s, 34% 3’s, and 41% 4’s. Mr. Goodman sets a goal to outscore these numbers. At the end of the year, he takes a random sample of his evaluations and finds 11 1’s, 14 2’s, 47 3’s, and 53 4’s. At the 0.05 level of significance, can Mr. Goodman claim that his evaluations are significantly different than the History Departments?

Hypotheses:

H0: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

H1: There is (no difference /difference) in Mr. Goodman’s evaluations and the History Department’s.

Enter the test statistic - round to 4 decimal places.

Enter the p-value - round to 4 decimal places.

Can it be concluded that there is a statistically significant difference between Mr. Goodman’s evaluations and the History Department’s?

a. Yes

b. No

Answer:

19.79 ft

Step-by-step explanation:

Given data

We are given that the dimension of the room is

Length= 14ft

Width= 14ft

Required

The Diagonal of the room

Applying the Pythagoras theorem we have

D^2= L^2+W^2

substitute

D^2= 14^2+14^2

D^2= 196+196

D^2= 392

D= √392

D= 19.79 ft

Hence the distance from one corner to the other is 19.79 ft

Answer: 65 i think

Step-by-step explanation: if the one side is 80, so is the other. then it is 15. 80-15=65

Option D. Nominal measurement is used primarily to name or categorical data.

Nominal measurement is one of the four levels of measurement used in statistics, along with ordinal, interval, and ratio measurement. Nominal data are qualitative or categorical data that can be assigned to discrete categories based on some characteristic or attribute, such as color, gender, or species. Nominal data do not have a natural ordering, so they cannot be ranked or ordered based on magnitude or size.

Nominal measurement is a type of measurement in which data are named or categorized based on some characteristic or attribute. Nominal data are typically qualitative or categorical in nature, meaning that they are not numerical in value. Examples of nominal data include gender, race, religion, color, or type of animal.

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10 would be 50% so 1 is 5% 5x8 =40

Her experimental probability is 40%

Step-by-step explanation:

Looking at the graph, we can see that

A = (3, -3)

B = (10, -5)

C = (6, -8)

Reflecting over the y axis means reflecting over the big, bold vertical line in the middle. To do this for a point (x, y) simply means changing the x value to -x. For example, to reflect (6, 7) over the y axis, we would turn it into (-6, 7)

A' = (-3, -3)

B' = (-10, -5)

C' = (-6, -8)

Plot these points on the graph and connect them to get your new triangle

95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.

Assuming an attribute (feature) has a normal distribution in a dataset. Assume the standard deviation is s and the mean is m. Then the outliers usually lie below -3*m or above 3*m. These terms mean: Outlier An outlier is a value that lies an abnormal distance away from other values in a random sample from a population. In a set of data, an outlier is an observation that lies an abnormal distance from other values in a random sample from a population. A distribution represents the set of values that a variable can take and how frequently they occur. It helps us to understand the pattern of the data and to determine how it varies.

The normal distribution is a continuous probability distribution with a bell-shaped probability density function. It is characterized by the mean and the standard deviation. Standard deviation A standard deviation is a measure of how much a set of observations are spread out from the mean. It can help determine how much variability exists in a data set relative to its mean. In the case of a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. 95% of the data falls within two standard deviations of the mean, and 99.7% of the data falls within three standard deviations of the mean.

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In a dataset, if an attribute (feature) has a normal distribution and it's content loaded, the outliers often lie below -3*m or above 3*m.

If the attribute (feature) has a normal distribution in a dataset, assume the standard deviation is s and the mean is m, then the following statement is valid:outliers are usually located below -3*m or above 3*m.This is because a normal distribution has about 68% of its values within one standard deviation of the mean, about 95% within two standard deviations, and about 99.7% within three standard deviations.

This implies that if an observation in the dataset is located more than three standard deviations from the mean, it is usually regarded as an outlier. Thus, outliers usually lie below -3*m or above 3*m if an attribute has a normal distribution in a dataset.Consequently, it is essential to detect and handle outliers, as they might harm the model's efficiency and accuracy. There are various methods for detecting outliers, such as using box plots, scatter plots, or Z-score.

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Answer:

  38

Step-by-step explanation:

Sequential pairs will be ...

  38 - 87

  79 - 96

  17 - 74 or 79

  43 - 38

  74 - 43

  96 - (none)

  87 - 74 or 79

We notice that 17 has no preceding number. It must be first in the list. 79 cannot be second, because that skips a bunch of numbers. The sequence appears to be ...

  17 - 74 - 43 - 38 - 87 - 79 - 96

The 4th number in the list is 38.

The amount spent on calculators is $310 which is option (b) .

It is given that half people ordered $29.95 calculator which means that 5 people have ordered $29.95 per calculator then , amount is given by

    (number of people ) × cost per calculator = total amount spent

       \(5\times29.95=\$149.75\)

It is given that least expensive calculator was $19.95 and the most expensive calculator was $39.95.

Mean will be \(=\frac{least\ + \ most}{2}\)

                      \(=\frac{19.95+39.95}{2} \\\\=\frac{59.9}{2} \\\\=29.95\)

so the other 5 people have spent an average of amount \(=5\times29.95\)

                                                                                 \(=\$149.75\)

Total amount spent on calculators will be \(=149.75+149.75=\$299.5\)

which is approximately equal to $310 which is option (b) .

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Answer:

Step-by-step explanation:

The total cost for a large pizza is given by the equation:

C=2t+8

where t is the number of toppings.

Now, when t=0 we have:

C=8

when t=1 we have:

C=10

when t=2 we have:

C=12

when t=3 we have:

C=14

when t=4 we have:

C=16

when t=5 we have:

C=18

i.e. the graph of this equation is the ordered pair:

(0,8) , (1,10) , (2,12) , (3,14) , (4,16) and (5,18)

Now, the slope of this function means the cost of each topping.

and the y-intercept represents the cost of the pizza when there are no toppings.

Yes I can solve the sequence table

Give me any question you prefer

Answer: No Solution

Step-by-step explanation:

||3x - 1| + 5| <1  ⇒

\(\left \{ {{|3x - 1| + 5 < 1} \atop {|3x - 1| + 5 > -1 }} \right.\)    ⇒

\(\left \{ {{|3x - 1| < -4} \atop {|3x - 1| > -6} \right.\)        ⇒

The first equation does not make sense because absolute value and as it is a system of equations, the whole system does not have a solution.

Answer:

Step-by-step explanation:

we have

\(y=2x2-8x+9\)

Group terms that contain the same variable, and move the constant to the opposite side of the equation

\(y-9=2x2-8x\)

\(y-9=2(x2-4x)\)

\(y-9+8=2(x2-4x+4)\)

\(y-1=2(x2-4x+4)\)

\(y-1=2(x-2)2\)

\(y=2(x-2)2+1\)

the answer is the option C

\(y=2(x-2)2+1\)

The equation  y = 2x² – 8(x + 9) can be rewritten in vertex form as y = 2(x – 2)² + 1 option (C) is correct.

It is defined as the graph of a quadratic function that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the vertex of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the focus of the parabola:

It is given that:

The equation is:

y = 2x² – 8(x + 9)

y = 2x² - 8x + 8 + 1

y = 2(x² - 4x + 4) + 1

y = 2(x – 2)² + 1

Thus, the equation  y = 2x² – 8(x + 9) can be rewritten in vertex form as y = 2(x – 2)² + 1 option (C) is correct.

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Using the absolute value function, linear functions and translations, we have that:

9. Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

10. The equation is f(x) = -5x + 100.

11. The correct option is: The slope of f(x) is greater than the slope of g(x).

12. h(-5) = 10.

13. The equation is f(x) = 2x + 5.

14. The graph of y = f(x) will shift right 9 units.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex(turning point) at (0,0). The range is from the y-coordinate of the vertex to positive infinity.

In item 9, from the table, the turning point is at (2,0), hence:

Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

A linear function is modeled by the following rule:

y = mx + b

In which:

For item 10, we have that:

Then:

The equation is f(x) = -5x + 100.

For item 11, the slope is given by change in y divided by change in x, hence:

Hence:

The correct option is: The slope of f(x) is greater than the slope of g(x).

For item 12, we have that:

h(x) = -4x - 10.

Hence, when x = -5:

h(-5) = -4(-5) - 10 = 20 - 10 = 10.

Hence:

h(-5) = 10.

For item 13, we have that when x changes by 4, y changes by 8, hence the slope is:

m = 8/4 = 2.

When x = 1, y = 7, hence, considering the slope, when x = 0, y = 5, and:

The equation is f(x) = 2x + 5.

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.

For this problem, the rule is given by:

y = f(x - 9).

The translation is x -> x - 9, hence:

The graph of y = f(x) will shift right 9 units.

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Answer:

(For number 9) Range {y/0<y<infinity} Vertex (2,0)

Step-by-step explanation:

I took test

I hope I helped for that part of it.

Answer:

the solution is (-2,-5)

Step-by-step explanation:

Answer:

g(x) = |x+3|-2

Step-by-step explanation:

to move horizontally replace each x with (x ± c)

if you move it to the right, you need x - c

if you move it to the left , you need x + c

so , since we are moving 3 units to the left, we replace the x with x+3

g(x) = |x+3|-2

Answer: a*x=b*x

let x =2

4*2=8

8=2*b

b=4

a=4

a=b

Step-by-step explanation:

The constant of proportionality is 5/3.

In mathematics, proportionality denotes a linear relationship between two quantities or variables. Both quantities increase in size when one double, and both decrease in size when one drops to a tenth of its original value.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality. The constant of proportionality may also be referred to by the terms constant ratio, constant rate, unit rate, constant variation, or even change rate.

Let the constant of proportionality is k.

Harry buys 3 granola bars for $ 5. So, we can write it as

3 × k = 5

k = 5/3

To Check:

Sidney buys 9 granola bars for $ 15, we can write it as

9 × k = 15

Put k= 5/3 in the equation

9 × 5/3 = 15

3 × 5 = 15

15 =15

The Left and right-hand sides are equal. Hence, the constant of proportionality is k=5/3.

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A consistent set of sentences refers to a group of statements that can all be true at the same time. Therefore, the answer is "a set of sentences that all can be true under the same assignment of truth values."

In other words, a consistent set of sentences is one where there is no contradiction among them, and they can be simultaneously true. This is an important concept in logic and reasoning, where consistency is necessary to avoid logical fallacies and ensure the validity of arguments. A consistent set of sentences helps to establish a coherent and reliable framework for reasoning and decision-making.

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a) The cost per 100 g of Swiss cheese is calculated as follows:

Cost per 100 g = (Cost of 400 g / 400 g) × 100

Cost per 100 g = ($4.80 / 400 g) × 100 = $1.20/100 g

b) The cost of 250 g of Swiss cheese is calculated as follows:

Cost of 250 g = (Cost per 100 g × 250 g) = $1.20/100 g × 250 g = $3.00

c) The cost of 1 kg of Swiss cheese is calculated as follows:

Cost of 1 kg = (Cost per 100 g × 1000 g) = $1.20/100 g × 1000 g = $12.00

d) The amount of Swiss cheese that can be bought with $18 is calculated as follows:

Amount of Swiss cheese = (Total amount of money / Cost per 100 g)

Amount of Swiss cheese = ($18 / $1.20/100 g) = 1500 g or 1.5 kg

In summary, the cost per 100 g of Swiss cheese is $1.20, the cost of 250 g of Swiss cheese is $3.00, the cost of 1 kg of Swiss cheese is $12.00, and $18 can buy 1.5 kg of Swiss cheese. These calculations are based on the given price of $4.80 for a 400-g package of Swiss cheese.

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