Lesson 14.1 distance in the coordinate plane answer key
Answers
The distance formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), is used to find the distance between two points on a coordinate plane.
What is the Distance Formula?The distance formula, \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\), is used to find the distance between two points on a coordinate plane.
For example, given the following points on a coordinate plane:
A(2, 3) - (x1, y1)B(5, 6) - (x2, y2)Using the distance formula, we would calculate the distance as:
AB =√[(5−2)² + (6−3)²]
AB = √[(3)² + (3)²]
AB = √18
AB = 4.2
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Related Questions
) for families whose incomes differ by 20 thousand dollars and for the age of the oldest family automobile odds ratio exp(2β 2
) for families whose oldest automobiles differ in age by 2 years, with family confidence coefficient of approximately .90. Interpret your intervals. b. Use the Wald test to determine whether X 2
, age of oldest family automobile, can be dropped from the regression model; use α=.05. State the alternatives, decision rule, and conclusion. What is the approximate P-value of the test? c. Use the likelihood ratio test to determine whether X 2
, age of oldest family automobile, can be dropped from the regression model; use α=.05. State the full and reduced models, decision rule, and conclusion. What is the approximate P-value of the test? How does the result here compare to that obtained for the Wald test in part (b)? d. Use the likelihood ratio test to determine whether the following three second-order terms, the square of annual family income, the
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The intervals suggest that both income and the age of the oldest family automobile are significantly associated with the odds of buying a new car.
How to explain the hypothesis
a. The confidence intervals for the odds ratio of buying a new car for families whose incomes differ by 20 thousand dollars and for the age of the oldest family automobile are as follows:
Income: (1.25, 3.75)
Age of oldest automobile: (1.10, 1.90)
These intervals suggest that both income and the age of the oldest family automobile are significantly associated with the odds of buying a new car.
b. The Wald test for whether X2, age of oldest family automobile, can be dropped from the regression model is as follows:
Test statistic = 2.25
P-value = 0.13
Since the P-value is greater than 0.05, we cannot reject the null hypothesis that X2 does not have a significant effect on the odds of buying a new car. Therefore, we cannot conclude that X2 can be dropped from the regression model.
c. The likelihood ratio test for whether X2, age of oldest family automobile, can be dropped from the regression model is as follows:
Test statistic = 2.25
P-value = 0.13
This result is identical to the result obtained for the Wald test in part (b). This is because the Wald test and the likelihood ratio test are asymptotically equivalent, meaning that they will have the same distribution as the sample size gets larger.
d. The likelihood ratio test for whether the following three second-order terms, the square of annual family income, the square of the age of the oldest family automobile, and the interaction between income and age, can be dropped from the regression model is as follows:
Test statistic = 12.6
P-value = 0.002
Since the P-value is less than 0.05, we can reject the null hypothesis that these three terms do not have a significant effect on the odds of buying a new car. Therefore, we can conclude that these three terms cannot be dropped from the regression model.
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The breaking strengths of cables produced by a certain manufacturer have a standard deviation of 92 pounds. A random sample of 90 newly manufactured cables has a mean breaking strength of 1700 pounds. Based on this sample, find a 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place
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Answer:
To find the 95% confidence interval for the true mean breaking strength of all cables produced by the manufacturer, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
First, let's calculate the standard error, which is the standard deviation divided by the square root of the sample size:
Standard Error = Standard Deviation / √(Sample Size)
= 92 / √(90)
≈ 9.685
Next, we need to determine the critical value corresponding to a 95% confidence level. Since the sample size is large (n > 30), we can use the z-table. The z-value for a 95% confidence level is approximately 1.96.
Now we can calculate the confidence interval:
Confidence Interval = Sample Mean ± (Critical Value * Standard Error)
= 1700 ± (1.96 * 9.685)
Lower Limit = 1700 - (1.96 * 9.685)
≈ 1679.69
Upper Limit = 1700 + (1.96 * 9.685)
≈ 1720.31
Therefore, the 95% confidence interval for the true mean breaking strength of all cables produced by this manufacturer is approximately (1679.7, 1720.3). The lower limit is 1679.7 pounds, and the upper limit is 1720.3 pounds.
Geologic Processes CFA 11 of 1411 of 14 Items Question S Use the two data tables above to answer the following questions: Predict elevation in 8 milliion years. Present Day= 2037 m 1 mya= __?__, 2 mya= __?__ 3 mya= 1947 m 4 mya=__?__ 5 mya= __?__ 6 mya= 1857 m 7 mya= __?__ 8 mya= __?__ Describe which geologic processes that caused this change in elevation
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Answer:
Explanation:
Based on the data in the tables, we can predict that the elevation in 8 million years will be approximately 1857 m. This prediction is based on the trend in the data, which shows that the elevation decreases by approximately 90 m every million years. Since the elevation at 3 million years ago was 1947 m, and the elevation decreases by 90 m every million years, we can predict that the elevation in 8 million years will be 1947 m - (90 m * 5 million years) = 1857 m.
The geologic processes that caused this change in elevation are likely to be a combination of erosion and tectonic activity. Erosion is the process by which rocks and sediments are worn away by wind, water, and other natural forces, which can cause the elevation of an area to decrease over time. Tectonic activity, on the other hand, refers to the movement of the Earth's crust, which can cause the elevation of an area to change as a result of uplift or subsidence. Together, these processes can cause the elevation of an area to change over millions of years.
This is Ax + By = C, where A is positive and A, B, and C are real numbers.
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what's the question?
A light source is shining on a vertical surface or a slanted surface as shown 3 points
below. Which statement is correct?
Surface is vertical
Surface is tilted
The light energy that hits the vertical surface is stronger because it is concentrated on
a smaller area.
The light energy that hits the vertical surface is weaker because it is concentrated on
a smaller area.
The light energy that hits the slanted surface is stronger because it is concentrated on
a larger area.
The light energy that hits the slanted surface is stronger because it is concentrated on
a smaller area
Answers
Answer:
The light energy that hits the vertical surface is stronger because it is concentrated on a smaller area.
Explanation:
Young wolves learn how to hunt with their pack. When a young wolf smells the scent of a rabbit, it sees an older pack member pounce on the rabbit as prey. When this young wolf is mature and hunting and smells the scent of a living rabbit, it prepares itself to pounce on the rabbit. How does the wolf know that the rabbit is good for food? A. The wolf is born with the ability to know what a rabbit smells like. B. The wolf remembers the smell and taste of rabbit from when it was younger. C. The wolf learns about the rabbit scent as it smells it.
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Have a great day :)
A regular hexagon has a side length of 6k^2 + 8 inches long. What is the perimeter
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Perimeter = 6 × (6k^2 + 8)
Simplifying this expression gives:
Perimeter = 36k^2 + 48 inches
Therefore, the perimeter of the hexagon is 36k^2 + 48 inches.
1) Small organs associated with lymphatic vessels are termed
A) lymph follicles
B) lymph nodes
C) axillary nodes
D) cisterna chyli
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The correct option is B) lymph nodes, small organs related with lymphatic vessels.
Explain the term lymphatic vessels?A tiny tube that travels through lymphatic system carrying lymph (lymphatic fluid) plus white blood cells. called a lymph vessel as well.
Enlarge. Illustration of the lymphatic system's anatomy, including lymph nodes, sinuses, thymus, spleen, including bone marrow. As lymph moves toward larger vessels known as collecting ducts, lymphatic vessels continue to collect as well as filter lymph (at the nodes).An immune system component with the form of a tiny bean. The lymph nodes in the body include lymphocytes, which are white blood cells that aid in the body's defense against disease and infection. They filter chemicals that pass through the lymphatic fluid. All over the body, lymph nodes number in the thousands.To know more about the lymphatic vessels, here
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Terrance was in an accident that caused damage to the part of his brain called the cerebellum. Which skill-related component will MOST likely be affected by this damage?
A) speed
B) balance
C) power
D) flexibility
Answers
Answer:
Balance
Explanation:
Note : -
The cerebellum controls voluntary movements such as:
walking.
posture.
balance.
coordination.
eye movements.
speech.
These are affected if cerebellum is damaged.
Answer:
it's balance cause the cerebellum controls voluntary movement which for example is walking
If 2y = x + 40 and 3x = y + 20, what is the
value of x+y? Show all work
A) 28
B) 34
C) 38
D) 44
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Answer: D
Explanation: I guess and it said it was right
the ability to memorize is and example of
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Personal skill
What type of goal typically takes a couple of years or longer to complete?
A. An intermediate goal
B. An instant goal
C. A short-term goal
D. A long-term goal
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If you wanted too find the jet stream where would you go
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Answer:i honestly don’t know
Explanation:
Answer:
i met u in califonya you said you loved him in gorgia your herat is frozen over in supernova
Explanation:
What does SAT stand for
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Answer:
Scholastic Aptitude Test
Explanation:
It stands for "Scholastic Aptitude Test"
Explanation:
All of the attendees at a symposium are either phys-
icists or biologists. If there are 123 physicists and
270 biologists, then how many additional physicists
must arrive at the symposium in order for the ratio
of physicists to total attendees to become 2 to 5?
Answers
Answer:
The number of additional physicist that must arrive are;
59 physicists
Explanation:
A ratio in mathematics is an indication of the number of times one quantity is larger than another quantity, that is the number of times a number of an item is found the number of another item
The given parameters of the attendees at the symposium are;
The number of physicists at the symposium, p = 123 physicists
The number of biologists at the symposium, b = 270 biologists
The total number of attendees at the symposium, T = 123 + 270 = 393 attendees
Let 'x' represent the expected number of physicist at the symposium
For the ratio of physicists to the total attendees to become 2:5, we have;
x/Tₓ = 2/5
Where;
Tₓ = The expected total number of attendees at the symposium = x + 273
∴ x = (2/5) × Tₓ = (2/5) × (x + 273)
x = (2/5) × (x + 273) = 2·x/5 + 2×273/5
x - 2·x/5 = 2×273/5
3·x/5 = 2×273/5
3·x = 546
x = 546/3 = 182
The expected number of physicist at the symposium, x = 182 physicist
The number of additional physicist that must arrive = x - p
∴ The number of additional physicist that must arrive = 182 - 123 = 59
The number of additional physicist that must arrive = 59 physicists
ABCD is a parallelogram with diagonal AC. If the measure of angle CAB is 21° and the measure of angle ADC is 125°, what is the measure of angle DAC? Parallelogram ABCD with diagonal AC; the measure of angle ADC is 125 degrees, and the measure of angle CAB is 21 degrees. 73° 62° 42° 34°
Answers
The measure of angle CAB in the parallelogram described is 34°.
Given :
∠CAB = 21°
∠ CAB = ∠ACD (Alternate interior angles)
∠ACD = 21°
∠DAC + ∠ADC + ∠ACD = 180° (Sum of interior angles of a triangle)
∠DAC + 125° + 21° = 180°
∠DAC = 180° - 146°
∠DAC = 34°
Therefore, the measure of angle ∠DAC is 34°
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Three ways in which the media often fails to fulfil their responsibilities on society
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Answer:
1. When the media presents material to the public at random without verifying it.
2. A circumstance in which the media spreads misleading information while omitting to include the key facts that go along with it.
3. When the media tries to draw conclusions by comparing disparate subjects or topics.
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Explanation:
Since 60° is of 360° then the length of is the circumference of the circle.
Answers
Since 60° is one-sixth (1/6) of 360°, then the length of the arc subtended by a central angle of 60° is one-sixth (1/6) of the circumference of the circle.
Hallo. Come be weird with meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeedon’t you dare answer if your not weird:( kalakakumba out
Answers
Answer:
kumbaya
Explanation:
book nerd that is who i ammmmm looooooooooollll
i <3 books (or do i??)
I drove past the coffee shop, where I usually order a large latte and muffin, on my way to meet someone for an interview.
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Answer:
good for u
Explanation:
Argument Reread page 64. Restate what Beto, Harry, and Gustavo Adolfo each said about which of the children's rights was most important. Whose argument do you agree with? Why?
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Beto holds the opinion that the most crucial among children's rights is access to education, as it establishes the groundwork for achievement and prosperity in one's future.
What was Harry's opinion?According to Harry, the ultimate priority is safeguarding the welfare of children, as their ability to prosper is hampered by persistent apprehension.
According to Gustavo Adolfo, the most crucial right among all is the right to health, as it serves as the foundation for enjoying other rights, and children are deprived of their basic rights in its absence.
It is imperative to acknowledge that all of these rights hold equal importance, and none of the rights outweighs the other. Every child has a right to a secure, wholesome, and educated environment that can help them achieve their maximum potential.
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Pregunta 3
The main purpose of the Bill of Rights is to
A organize the national government.
Bmaintain order.
C create a system of laws.
D protect individual freedoms.
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Answer:
D-protect individual freedoms
One end of a string is attached to an object of mass m
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Answer:
Explanation:
the way to figure it out is by doing the formula.
do employers check your name on your ID or birth certificate to make sure it's spelled right on the certificate with your passes?The last letter which is an E is missing in CELLESTE which is my middle name on my certificate and it can't be changed... will still stop me from being employed by the government or evening going university? please help I'm freaking out can affidavit solve the problem if there is one
Answers
Answer:
What is your question..
Explanation:
I don't understand..
Answer:
Depending on the position an employer will check these items.
Explanation:
This is a problem that can be fixed. Depending on the municipality you are a resident of, there will be a process to follow. In most of the United States, there is what is called a Vital Records office. These offices have a procedure that usually involves completing a form and submitting that form. With the nature of beauracracies at the moment in this pandemic, the time for accomplishing this may be extended. Since this will affect any certificates and diplomas you earn, I would attempt to get this problem solved as soon as you can, so that all names will match when you present them to an employer or a university. During the transition time, an affidavit stating that you are in the process of correcting errors on your vital documents will most likely be required, which will also be available through your municipalities Vital Records office.
In Islam, who is prophet Muhammad (peace be upon him) ?
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the prophet Muhammad is called Allah
Prophet Muhammad (pbuh) was born in the city of Mecca, in present-day Saudi Arabia, in the year 570 CE. At the age of 40, he received the first revelation from Allah through the Angel Gabriel, which marked the beginning of his prophethood. The revelations continued over a period of 23 years, and they were later compiled into the holy book of Islam, the Quran.
Prophet Muhammad (pbuh) preached monotheism (the belief in one God) and called people to worship Allah alone and follow His guidance. He taught the importance of faith, prayer, charity, fasting, and pilgrimage, among other teachings and principles that form the foundation of Islam.
Muslims regard Prophet Muhammad (pbuh) as a role model and strive to follow his example in their personal and communal lives. They hold great love, respect, and reverence for him and frequently use the phrase "peace be upon him" (pbuh) as a sign of honor and respect when mentioning his name.
if (3x-8)(x+5)=ax+by+c, what is the value of ac (please show work)
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The value of ac in this quadratic equation (3x - 8)(x + 5) is -120.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is given by the following mathematical expression:
ax² + bx + c = 0 ......equation 1.
Therefore, we would expand the bracket as follows:
(3x - 8)(x + 5) = 0
3x² + 15x - 8x - 40 = 0
3x² + 17x - 40 = 0 .....equation 2.
By comparing equation 1 and equation 2, we have the following parameters:
a = 3
b = 17
c = -40
For the value of ac, we have:
ac = 3 × (-40)
ac = -120.
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Complete Question:
If (3x - 8)(x + 5) = ax² + bx + c, what is the value of ac (please show work
read this sentence from the article.i think it is vital to consider the scientific definition of life, however, and to take the recent excitement with a grain of salt.explain the meaning of the phrase “with a grain of salt” as it is used in the sentence. use details from the article to support your answer.
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It Is Science I Could Not See Science So I Chose Sat Help
Answers
Answer:
See Explanation
Explanation:
Nucleus = the central part of the atom containing protons and neutrons
Electron Cloud = The area of the atom surrounding the nucleus where electrons can be found
Electron = A negatively charged particle that orbits the nucleus of an atom
Proton = A positively charged particle located in the nucleus of an atom
Neutron = A neutral particle located in the nucleus of an atom
5/8 of 24 is equal to 15/7 of what number?
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Answer:
I am explain you in image
Is the article Ukraine Helicopter Crash Worth Reading? Explain
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Answer: If you are talking about the one that I think you are talking about then yes, it is worth reading because it gives you knowledge about the type of issues that are going on in different countries. It's also informative and you can learn different things about it.
Explanation: