1. A line segment can be written with just naming it by its end points and a bar above it while the name of a line requires an double-headed arrow mark above its name.
2. For constructing both a perpendicular and an angle bisector, we need to construct two arcs using a compass and their intersection point. A perpendicular bisector divided a line segment into two equal parts whereas an angle bisector divides an angle into two equal parts.
3. A perpendicular bisector can be drawn by drawing two arcs each above and below the line segment and joining using an straight edge.
1. A line and a line segment may sound quite similar however they are very different. A line, in short, is a line that never ends so it's infinite. It's the same for a line segment except at its end it is indicated by dots rather than arrows.
This difference can be seen in naming them too. A line segment is named using the initial and terminal points of the segment. Sometimes we put a 'bar' mark above its name. For example, \(\bar{AB}\)
For a line of infinite length, it is named simply as 'line A' or 'line B' or sometimes put a double-headed arrow mark above its name.
2. A perpendicular bisector and an angle bisector are similar because they both require the need to find where two arcs meet. They are different because angle bisectors split into congruent angles meanwhile a perpendicular bisector splits into congruent segments.
Constructing a perpendicular bisector is similar in the sense that both are drawn using straight edge and compass and need to find the intersection point of the arcs. But they are different in their use as perpendicular bisector equally divides a line segment and an angle bisector equally divides an angle.
3. We have an unmarked straightedge and a compass. First put the compass at one end point A of the line. Then stretch the compass to a length more than half of the line segment AB to be bisected. In the next step, draw an arc above and one below the line. Next put the compass on the other end B of the line. Then repeat drawing two arcs, each above and below the line and also intersecting with the previous arcs. Finally join the two points got with a line cutting the line segment AB. This will be the perpendicular bisector of the line AB.
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Simplify each expression by distributing and combined bf like terms (SHOW WORK) please
Answer:
c - 39
Step-by-step explanation:
Given,
-4 (8 - c ) - (3c + 7 )
= -4 ( -c + 8 ) - (3c + 7 )
= 4c - 32 - ( 3c + 7 )
= 4c - 32 - 3c - 7
= ( 4 - 3 )c + ( -32 - 7 )
= c + ( -32 - 7)
= C - 39
hope this answer helps you dear! take care!
Determine the solution to the equation. 8+4x=2x+8+2x A Infinite B One Solution C No Solution
After solving the given equations the answer is an Infinite solution. Hence, option A is correct
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal to one another. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the given equation in the question,
8 + 4x = 2x + 8 + 2x
Firstly, let's write the given equation in a simplified manner,
8 + 4x = 8 + 4x
As we can see that LHS = RHS, which means that both equations are the same then which means they will give infinite solutions.
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25÷9 and with what remainder
The airplane Li’s family will be flying on can seat up to 149 passengers. If 96 passengers are currently on the plane, how many more passengers can board? passengers can board the plane.
Answer:
the answer is B
Step-by-step explanation:
The inequality is given by the equation x + 96 ≤ 149
What is an inequality?An inequality is an expression that shows the non equal comparison of two or more numbers and variables.
Let x represent the number of passengers that can be added to the plane. Since the plane can take 149 passengers, hence:
x + 96 ≤ 149
The inequality is given by the equation x + 96 ≤ 149
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Which expression is equivalent to StartFraction 1 Over 1 minus 2 sine squared (x) EndFraction?
StartFraction 1 Over cosine (2 x) EndFraction
StartFraction 1 Over sine (2 x) EndFraction
Cosine (2 x)
Sine (2 x)
Answer:
A. 1/cos(2x)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge
PLEASE I NEED HELP
What is the slope-intercept form of the linear equation 2x + 3y = 6?
Answer:
y= 2/3x + 2
Step-by-step explanation:
What is 1 minute and 5 seconds in fraction form? Thank you to whoever will answer ^__^
Answer:
13/12
Step-by-step explanation:
1min=60 sec
therefore,
= 65÷60
= 13/12
what is 44+ v = 35
help please
Step-by-step explanation:
v=35-44
v=-9
..............
Choose the statements that describe characteristics of a probability distribution? Select all that apply.a. Half of the possible outcomes have associated probabilities grater than 0.5.b. The probability of an outcome is between 0 and 1.c. The sum of the probabilities of all possible outcomes is 1.d. The distribution is symmetrical.e. The outcomes are mutually exclusive.
The probability of an outcome is between 0 and 1; the sum of the probabilities of all possible outcomes is 1; the outcomes are mutually exclusive. So , the correct option is B.
Probability distribution is a statistical term that refers to the probability of an outcome of an experiment. It's a function that associates each possible outcome of an experiment with its likelihood of occurrence.
A probability distribution is a representation of the probabilities of all potential outcomes in an event. The following are some characteristics of probability distributions: Probability is the likelihood of an event occurring. It's a value that ranges from 0 to 1.
It can't be less than 0 or greater than 1. Probability values of 0 and 1 represent impossible and certain outcomes, respectively. The sum of the probabilities of all possible outcomes must be equal to 1.
This is due to the fact that the occurrence of any of the possible outcomes is a certainty. The probability of the event happening is therefore 100 percent. The probability of an outcome is related to the number of possible outcomes in an experiment that can generate the desired result.
The greater the number of possible outcomes, the smaller the likelihood of the desired outcome. As a result, probabilities range from 0 to 1, with a probability of 0 indicating an impossible outcome and a probability of 1 indicating a certain outcome. A distribution's symmetry refers to the extent to which a distribution is symmetrical about its mean.
A symmetric distribution is one in which the left and right halves of the distribution are mirror images of each other. An asymmetric distribution, on the other hand, has dissimilar left and right sides.
Mutually exclusive outcomes are outcomes that cannot occur at the same time. The outcomes in probability distribution are mutually exclusive because only one outcome occurs at a time. So , the correct option is B.
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a-9y
1
a=−5 and y=5.
-5
X
Answer:
What do you need here Any help?
Lisa is having a meeting at her house. There are 48 members at the meeting. She estimates each member will drink about 32 ounces of punch. Each bottle contains 64 ounces. What is the best estimate for the number of bottles of punch Lisa will need to buy?
Answer:15 bottles of punch
if this doesn't help i'm extremely sorry
Step-by-step explanation:
among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease. can this result be explained by chance alone? (use r to perform the test).
We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.
Define null hypothesis.With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims: The null hypothesis (H0) states that there is no population impact. Alternative hypothesis (Ha or H1): The population is affected.
Given,
Among susceptible individuals exposed to a particular infectious agent 30% generally develop clinical disease. out of a random sample of 100 people suspected of exposure to the agent only 20 developed clinical disease.
Let X be the random variable to determine the proportion of people who have clinical illness.
n: The overall number of people who were exposed to a specific infectious pathogen.
p: The percentage of sample members who have a clinical illness.
Selected subjects who experience clinical disease are the experiment's success.
As a result, the variables are n = 100 and p = 0.30.
It is necessary to determine whether exposure to the agent outcome may be entirely accounted for by coincidence.
A P-value is a probabilistic indicator of the likelihood that an observed outcome effect is accidental.
Using the default level of significance = 0.05, the level of significance is not defined.
One percentage z-test is the best suitable test for the aforementioned assertion.
The alternate and null hypothesis is
H0: p = 0.3
H1:: p ≠ 0.3
Where p is the percentage of the population that develops a clinical illness.
R may be used to calculate the p-value and test statistic.
The instruction is as follows:
x = 20; n = 100; p = 0.3; prop.test
The result looks like this: - The p-value obtained from the output above is 0.03817.
Decision principle:
When significance is 5%,
If the p-value is below 0.05, reject the null hypothesis.
Accept the contrary.
Because the p-value was 0.03817 0.05
The null hypothesis is disproven.
In conclusion:
We draw the conclusion that the results are significantly different since the null hypothesis was rejected, which means that a different proportion of people than 0.3 had clinical illness.
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while logistic regression and classification and regression trees (cart) have the same end goal, each model approaches the goal in a different way. discuss the differences in the two models. provide a specific example of a situation where employing a cart model would be preferable to a logistic regression model. explain what makes the cart model superior in your example.
Logistic regression models the probability of a binary outcome, while CART models segment data into categories. For example, CART is preferable when data has complex interactions, as it can partition data into multiple categories.
Logistic regression and classification and regression trees (CART) are two different machine learning models used for binary classification problems. Logistic regression models the probability of one class or the other based on a linear combination of input variables. This makes it useful for predicting a binary outcome, such as whether a customer will purchase a product or not. On the other hand, CART is a decision tree model that divides data into categories. It uses a tree-like structure to split the data into segments based on the input features. This makes it useful for dealing with data with complex interactions, as it can partition data into multiple categories. For example, a CART model would be preferable to a logistic regression model if there are multiple underlying factors that affect the binary outcome. In this case, a CART model could more accurately identify the categories that are associated with a particular outcome. Overall, CART models are superior for dealing with data with complex interactions, whereas logistic regression is better for simpler data.
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factor.
(3y+2z)² - (3y-2z)²
Answer:
\((3\, y + 2\, z)^{2} - (3\, y - 2\, z)^{2} = 24\, y\, z\)
Step-by-step explanation:
Make use of the fact that for any \(a\) and \(b\):
\(\begin{aligned}& (a + b)\, (a - b) \\ =\; & a^{2} - a\, b + a\, b - b^{2} \\ =\; & a^{2} - b^{2}\end{aligned}\).
In other words, the difference \((a^{2} - b^{2})\) between two squares could be written as the product of \((a + b)\) and \((a - b)\).
Apply this identity to rewrite and simplify the expression in this question. In this example, \(a = 3\, y + 2\, z\) whereas \(b = 3\, y - 2\, z\).
\(\begin{aligned} & \underbrace{(3\, y + 2\, z)^{2}}_{a^{2}} - \underbrace{(3\, y - 2\, z)^{2}}_{b^{2}} \\ =\; & \underbrace{((3\, y + 2\, z) + (3\, y - 2\, z))}_{(a + b)}\\ &\times \underbrace{((3\, y + 2\, z) - (3\, y - 2\, z))}_{(a - b)} \\ =\; &6\, y\, (3\, y + 2\, z - 3\, y + 2\, z) \\ =\; & 24\, y \, z \end{aligned}\).
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options.
2.3p – 10.1 = 6.4p – 4
2.3p – 10.1 = 6.49p – 4
230p – 1010 = 650p – 400 – p
23p – 101 = 65p – 40 – p
2.3p – 14.1 = 6.4p – 4
The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.
Given that, 2.3p – 10.1 = 6.5p – 4 – 0.01p.
We need to find which equations have the same solution as the given equation.
What is an equivalent equation?Equivalent equations are algebraic equations that have identical solutions or roots. Adding or subtracting the same number or expression to both sides of an equation produces an equivalent equation. Multiplying or dividing both sides of an equation by the same non-zero number produces an equivalent equation.
Now, 2.3p - 10.1 = 6.5p - 4 - 0.01p can be simplified as follows:
To add or subtract terms of algebraic equations group like terms add numerals and keep the variables the same.
That is, 2.3p - 10.1 = (6.5p - 0.01p) - 4
⇒2.3p - 10.1 =6.49p - 4
The equivalent equation for the given equation is 2.3p - 10.1 =6.49p - 4. Therefore, option B is the correct answer.
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Maura spends $5.50 in materials to make a scarf. She sells each scarf for 600% of the cost of materials.
Complete the sentence by selecting the correct word from the drop down choices.
Maria sells each scarf for Choose... ✓ or
The price that Maura sell each scarf would be =$33. Maura sells each scarf for $33. That is option A.
How to calculate the selling price of each scarf?To calculate the amount of money that Maura spends on each scarf the following is carried out.
The amount of money that she spends on the scarf material = $5.50
The percentage selling price of each scarf = 600% of $5.50
That is ;
= 600/100 × 5.50/1
= 3300/100
= $33.
Therefore, each price that is sold by Maura would probably cost a total of $33.
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most mis's use sophisticated mathematical models or statistical techniques. group of answer choices true false
The statement "Most MIS's use sophisticated mathematical models or statistical techniques" is generally true.
Management Information Systems (MIS) play a crucial role in modern organizations by providing valuable insights into various aspects of the business.
These systems gather data from different sources and transform it into meaningful information for decision-making purposes.
To make sense of the collected data, MIS rely on sophisticated mathematical models and statistical techniques.
Mathematical models are used to represent real-world situations and relationships mathematically.
These models can range from simple equations to complex algorithms that simulate and predict business processes.
By using mathematical models, MIS can analyze data, identify patterns, and make predictions or projections.
Statistical techniques, on the other hand, provide methods for summarizing and analyzing data to extract meaningful information.
MIS employ statistical techniques such as regression analysis, hypothesis testing, data visualization, and forecasting to uncover insights and support decision-making.
By leveraging these sophisticated mathematical models and statistical techniques, MIS can handle large volumes of data, identify trends and patterns, perform predictive analysis, and provide valuable insights for effective decision-making in areas such as resource allocation, strategic planning, inventory management, and customer behavior analysis.
Therefore, it is safe to say that most MIS's utilize sophisticated mathematical models and statistical techniques to process and analyze data, enabling organizations to make informed decisions based on accurate and meaningful information.
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HELLO EVERYONE IT WOULD BE GREAT IF YOU CAN HELP ME IM ABOUT TO FAIL MY CLASS
After substituting that coordinate, what is the flux dΦ through the patch in terms of dA?
After substituting the given coordinate in the flux equation, the resulting flux dΦ through the patch can be expressed in terms of dA as dΦ = E⋅dA⋅cosθ
Here, E represents the electric field intensity, dA is the area of the patch, and cosθ is the angle between the normal vector of the patch and the electric field lines passing through it.The term dA represents the differential area of the patch and is used to calculate the total flux through the entire surface by integrating over the entire area. This integration process adds up the contributions of all the small patches of the surface.
Therefore, the flux through any small patch of the surface can be calculated using the above equation by substituting the appropriate values of E, dA, and cosθ. This formula is particularly useful in calculating the flux through curved surfaces or irregularly shaped patches.In summary, after substituting the given coordinate, the flux dΦ through the patch can be expressed in terms of dA using the formula dΦ = E⋅dA⋅cosθ, which helps in determining the total flux through the entire surface.
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How do you graph parent functions and transformations?
The rules to plot the graph of the transformed function is explained clearly.
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as g(x - a).
For left shifting it is g(x + a).
Suppose the function be g(x).
The transformation of g(x) implies change of its position on the coordinate axis as well as its size keeping the shape as the same.
If it is shifted by h units rightwards.
Then, it can be written as g(x - h)
For left shift of h units it is given as g(x + h).
Both the above transformation implies that the function f(x) will have same value at x = 0 and x = h or x = -h.
Similarly, it can be dilated as ag(x).
Which signifies the value of g(x) at any value of x is increased by a factor of a.
Hence, the graph of a transformed function can be plotted by using the rules explained in the answer.
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(i) Let Y be the ratio of net FDI as a proportion of GDP for 70 different developed and developing countries in the world for year 2017. The model to be estimated is the following:
Yi=β1+β2X2i+β3X3i+β4X4i+ui
Where X2 log of per capita GDP; X3 is the log of square of per capita GDP and X4 is the proportion of population in the 20-60 years who have completed graduation. (i) State all the assumptions of the classical linear regression model to estimate the above model and indicate which assumption is violated in the above model when the regressors X2, X3 and X4 are defined in the above manner. (6 marks)
(ii) Suppose you estimate the model: Yi=β1+β2X2i+ui
However, the true model should also have the explanatory variable X4 as given below:
Yi=α1+α2X2i+α3X4i+ui
Derive the omitted variable bias in β2 compared to α2 and show that β2=α2 if X2 and X4 are not correlated.
(i) Assumptions of classical linear regression: linearity, independence, homoscedasticity, no perfect multicollinearity, zero conditional mean, and normality. Violation: perfect multicollinearity between X2, X3, and X4.
(ii) Omitted variable bias occurs when X4 is omitted from the model, leading to a biased estimate of β2 compared to α2 if X2 and X4 are correlated.
In the given model, the assumption of no perfect multicollinearity is violated when the regressors X2, X3, and X4 are defined as the log of per capita GDP, the log of the square of per capita GDP, and the proportion of population with graduation, respectively. X3 is a function of X2, and X4 may be correlated with both X2 and X3. This violates the assumption that the independent variables are not perfectly correlated with each other.
Omitted variable bias in β2 compared to α2 occurs when X4 is omitted from the model. This bias arises because X4 is a relevant explanatory variable that affects the dependent variable (Y), and its omission leads to an incomplete model. The bias in β2 arises from the correlation between X2 and X4. If X2 and X4 are not correlated, β2 will equal α2, and there will be no omitted variable bias. However, if X2 and X4 are correlated, omitting X4 from the model will result in a biased estimate of β2 because the omitted variable (X4) affects both Y and X2, leading to a bias in the estimation of the relationship between Y and X2.
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What is the solution of the inequality shown
below?
y+7≤-1
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1
A car was purchased for $20,000. The car depreciates by 27% each year. What is the value of the car when it is 12 years old?
Answer:
Below
Step-by-step explanation:
Losing 27 % of value each year means it retains 73% each year
we need to multiply 20 000 x .73 x .73 x .73 .... .73 (twelve times )
or re-written as 20 000 * .73^12 = value =$ 458.04
How do we find the population of a sample?
Answer:
we divide by the number of data points, N. If the data is a sample from a larger population, we divide by one fewer than the number of data points in the sample, n − 1 n-1 n−1 .
Step-by-step explanation:
What is the value of the expression 50 - (5 + 2)2 + 6?
Answer:
I believe it's 42
Step-by-step explanation:
Replace each letter in the expression with the assigned value.
First, replace each letter in the expression with the value that has been assigned to it. To make your calculations clear and avoid mistakes, always enclose the numbers you're substituting inside parentheses. The value that's given to a variable stays the same throughout the entire problem, even if the letter occurs more than once in the expression.
However, since variables "vary", the value assigned to a particular variable can change from problem to problem, just not within a single problem.
Perform the operations in the expression using the correct order of operations.
Once you've substituted the value for the letter, do the operations to find the value of the expression.
explain what each term in this model means and why it has the algebraic form (for example, sp2) that it does.
The s-orbital is spherical in shape, while the p-orbitals are composed of two lobes that are directed at an angle of 120 degrees apart.
It is composed of three atomic orbitals: one s-orbital and two p-orbitals. The s-orbital is spherical in shape, while the p-orbitals are composed of two lobes that are directed at an angle of 120 degrees apart. The combination of these three orbitals forms a hybrid orbital that is shaped like a flat trigonal planar, with a bond angle of 120 degrees. This hybrid orbital is known as the sp2 hybrid orbital.
The "s" in sp2 stands for the s-orbital, which is a single, spherical orbital. The "p" represents the two p-orbitals, which have two lobes and form an angle of 120 degrees with each other. The "2" in sp2 indicates that two p-orbitals are involved in the hybridization process. The hybridization of the s and two p-orbitals creates the sp2 hybrid orbital, which is trigonal planar in shape.
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Which of the following are remote interior angles of <1? Check all that apply.
A.<4
B.<6
C.<5
D.<1
E.<2
F.<3
The remote interior angles of ∠1 are ∠2 and ∠6.
What are corresponding angles of a triangle?
Corresponding angles in a triangle are those angles which are contained by a congruent pair of sides of two similar (or congruent) triangles.
The remote interior angles of ∠1 is determined by applying the principle of corresponding angles as shown below;
∠1 = ∠2 ( vertical opposite angles are equal )
∠1 = 180 - ∠5 ( corresponding angles are equal )
180 - ∠5 = ∠ 6 ( vertical opposite angles are equal )
So we can conclude that, ∠1 = ∠6.
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If x + y= 2, x - y= 2 then x=
Answer:
x374874593893
Step-by-step explanation:
eaddthemalltogethertogethtatjbifmwhumebry38578494029 aso add the m
Which table does NOT represent a function?
A) A
B) B
C) C
D) D
Answer:
D
Step-by-step explanation:
there is more than one X of the same number
the water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. they would like the estimate to have a maximum error of 0.15 gallons. a previous study found that for an average family the variance is 3.61 gallons and the mean is 17.3 gallons per day. if they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of water? round your answer up to the next integer.
We need to round up to the nearest integer, the required sample size is 76 households.
To estimate the required sample size, we can use the formula:
\(n = (z^2 * s^2) / E^2\)
Where:
z is the z-score corresponding to the confidence level (90% = 1.645)
s is the standard deviation of the population (square root of the variance, so s = sqrt(3.61) = 1.898)
E is the maximum error allowed (0.15 gallons)
Plugging in the values, we get:
\(n = (1.645^2 * 1.898^2) / 0.15^2\)
n = 75.57
Since we need to round up to the nearest integer, the required sample size is 76 households.
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