Answer:
Triangle A
Acute
Triangle B
Obtuse
Triangle C
Right
Triangle D
Acute
Step-by-step explanation:
the given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.
The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.
The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.
By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.
Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.
Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.
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Question
The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.
Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?Assume each order is independent. For which type of dinner is the value of its contribution to the appropriate test statistic the greatest?
The type of dinner in which the value of its contribution to the appropriate test statistic is the greatest is E) Vegetarian
What is a Test Statistic?This refers to the derived statistic that is used in the statistical hypothesis testing in an experiment with a sample.
Hence, we can see that from the complete question, there is the tracking of dinner types by the manager and he compares the change in distribution from last year.
He finds that if each order is independent, then the type of dinner which is the value of its contribution to the appropriate test statistic the greatest is vegetarian meals.
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This is a subjective question, hence you have to write your answer in the Text-Field given below. a) Mean and variance helps us to understand the data always before modelling. Keeping this in mind validate the following. "When we try to fit a regression model considering Sum of Squared errors as loss function / cost function , we ignore the mean. Because of this, model may not be effective". b).What is the significance of correlation \& co - variance in trying to fit a linear regression? Use correlation coefficient and comment on the data given below.
a) The statement that when fitting a regression model using the sum of squared errors as the loss function, we ignore the mean and this may make the model ineffective is not entirely accurate.
Mean and variance play crucial roles in understanding the data before modeling. The mean provides a measure of central tendency, giving us a reference point for comparison. Variance measures the spread or dispersion of the data points around the mean. By considering the mean and variance, we can gain insights into the distribution and variability of the data.
However, when fitting a regression model using the sum of squared errors as the loss function, we are primarily concerned with minimizing the residuals (the differences between the predicted and actual values). The mean itself is not directly considered in this process because the focus is on minimizing the deviations from the predicted values, rather than the absolute values.
That being said, the effectiveness of a regression model is not solely determined by the presence or absence of the mean. Other factors such as the appropriateness of the model, the quality of the data, and the assumptions of the regression analysis also play significant roles in determining the model's effectiveness.
b) Correlation and covariance are important measures in fitting a linear regression model as they help assess the relationship between variables.
Correlation coefficient (r) quantifies the strength and direction of the linear relationship between two variables. It ranges from -1 to 1, where a value of 1 indicates a perfect positive linear relationship, -1 indicates a perfect negative linear relationship, and 0 indicates no linear relationship. In linear regression, a high correlation between the predictor and the response variable suggests a stronger linear association, which can lead to a better fit of the regression line.
Covariance measures the joint variability between two variables. In linear regression, the covariance between the predictor and the response variable is used to estimate the slope of the regression line. A positive covariance suggests a positive relationship, while a negative covariance suggests a negative relationship. However, the magnitude of covariance alone does not provide a standardized measure of the strength of the relationship, which is why correlation is often preferred.
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PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP PLS PLS HELP ASAP THANKS
the answer is 4/12=9/n
i believe
according to national standards, under what circumstances may a pool house be included in total square footage?
It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total area square footage.
According to national standards, a pool house may be included in total square footage if it meets certain criteria. Firstly, the pool house must have a permanent foundation and be heated and cooled to the same extent as the main house.
Additionally, the pool house must have finished living space that is connected to the main house by a covered walkway or enclosed breezeway. This living space may include a bathroom, bedroom, or kitchen.
However, it is important to note that some appraisers and real estate agents may not include the pool house in the total square footage if it is not considered "livable space" or if it is primarily used for storage or pool equipment. Ultimately, the decision to include the pool house in total square footage may vary depending on local real estate practices and regulations.
It is recommended to consult with a licensed appraiser or real estate agent for guidance on how to accurately measure and report total square footage.
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Please answer correctly !!!!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!
U is a point in the line segment TV
TU + UV = TV
TU = 12
UV = 3
TV = 12+3 = 15 TV = 15Hope this will help...
Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each. How much total money would Ellie have to pay for her family if she were to buy 4 snacks for everybody to share? How much would Ellie have to pay if she bought xx snacks for everybody to share?
The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Ellie is going to see a movie and is taking her 2 kids. Each movie ticket costs $13 and there are an assortment of snacks available to purchase for $5 each.
The amount of tickets is given as,
Ticket's amount = 3 x $13
Ticket's amount = $39
Then the amount spent on snacks is given as,
Snack's amount = 4 x $5
Snack's amount = $20
Then the total amount is given as,
Total amount = $39 + $20
Total amount = $59
The amount of money spent on tickets and snacks will be $39 and $20. And the total amount is $59.
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I need help I will give 40 points and Brainliest!!!!!!Finding the Slope of a Line from a Table
x
y
What is the slope of the linear function represented in
the table?
O-7
-7
0
17
oi
0
O 7
Answer:
hmmmmm
Step-by-step explanation:
What is wrong with the following proof that the sum of two odd integers is even? Proof: Let a,b be two odd integers. Then a=2k+1 and b=2k+1 for some integer k. Thus a+b=(2k+1)+(2k+1)=4k+2=2(2k+1). Since 2k+1 is an integer we see that a+b=2m for some integer m. Hence a+b is even, completing the proof. A. We cannot conclude that a+b=2m for an integer m. B. The algebra is incorrect: (2k+1)+(2k+1) is not equal to 4k+2. C. We are not using the correct definition of "odd." D. The conclusion is assumed, making for circular reasoning. E. We are assuming integers a and bare EQUAL integers.
The correct answer is A. We cannot conclude that a+b=2m for an integer m.
In the given proof, the error lies in assuming that adding two odd integers will always result in an even integer. The proof correctly starts by assuming a=2k+1 and b=2k+1, where k is an integer. However, the step where it concludes a+b=4k+2 is incorrect.
The correct sum of a+b is:
a + b = (2k+1) + (2k+1) = 4k + 2k + 1 + 1 = 6k + 2.
Notice that we have 6k + 2, not 4k + 2 as stated in the incorrect proof. Since 6k + 2 is not in the form of 2m for any integer m, we cannot conclude that the sum of two odd integers is always even.
The mistake in the proof arises from incorrectly distributing the addition over the parentheses. The correct algebraic step would be:
a + b = (2k+1) + (2k+1) = 2k + 2k + 1 + 1 = 4k + 2.
However, even in this corrected step, we cannot assume that 4k + 2 is always in the form of 2m for some integer m. Therefore, the conclusion that the sum of two odd integers is always even is not valid.
This demonstrates the importance of careful reasoning and precise algebraic manipulation in mathematical proofs.
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find the value of x. round the lengths to the nearest tenth
Answer:
Step-by-step explanation:
SOH CAH TOA
use the trigonometry mnemonic (new monic) to help remember how sin cos and tan fit on the triangle
since you know the angle and you want to know the side opposite of that angle... and you know the side adjacent ( next to) the angle... use Tan
use the mnemonic to help
Tan(Ф)= Opp/ Adj ( we know two of these things and we want the 3rd :P )
Adj * Tan(25) = Opp
250 * Tan(25) = Opp
116.5769.... = Opp
x = 116.6 ft. approx. in the picture
What is the distance between -2 and 3 on a number line?
A ++++++++
-5 -4 -3 -2 -1 0 1 2
+
3 4 5
a. 5
b. -1
c. 1
d. -5
Show work
Please answer if in two minutes
Answer:
y = 7
z = 1
Step-by-step explanation:
If the triangles are congruent
AB = QR
y+ 34 = 41
Subtract 34 from each side
y = 41-34
y = 7
and QP = BC
38 = z+37
Subtract 37 from each side
38-37 = z
1 =z
Answer:
y = 7
z = 1
Step-by-step explanation:
The triangles are congruent, the length of the sides are equal.
y + 34 = 41
y = 41 - 34
y = 7
z + 37 = 38
z = 38 - 37
z = 1
In a high school with 1,500 students, which would be the best way to select a random sample of students in order to collect data about teenagers' preferences in music?
A. Ask every other member of the chorus.
B. Ask every student in an AP Calculus class.
C. Ask every 20th student during lunch in the school cafeteria.
D. Ask every 100th student who attends the school's pep assembly.
PLEASE HELPPPPP
The best way to select a random sample of students is "Ask every 20th student during lunch in the school cafeteria".
What is random sampling?The model approach to picking a random sample of students to gather data on teens' music tastes is to ensure that each student has an equal chance of getting chosen. This is known as random sampling, and it assists in reducing biases and ensuring that the sample is representative of the total population.
Option C, Asking every 20th kid during lunch in the school cafeteria, would be the best decision among the possibilities presented.
By picking every 20th student, a decent amount of randomization is achieved, and each student has an equal chance of being included in the sample.
When compared to the other choices, this technique generates a more representative sample.
Hence, the correct answer is C.
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From a table of integrals, we know that for ,≠0a,b≠0,
∫cos()=⋅cos()+sin()2+2+.∫eatcos(bt)dt=eat⋅acos(bt)+bsin(bt)a2+b2+C.
Use this antiderivative to compute the following improper integral:
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if ≠1s≠1
or
∫[infinity]01cos(3)− = limT→[infinity]∫0[infinity]e1tcos(3t)e−stdt = limT→[infinity] if =1.s=1. help (formulas)
For which values of s do the limits above exist? In other words, what is the domain of the Laplace transform of 1cos(3)e1tcos(3t)?
help (inequalities)
Evaluate the existing limit to compute the Laplace transform of 1cos(3)e1tcos(3t) on the domain you determined in the previous part:
()=L{e^1t cos(3)}=
"From a table of integrals, we know that for \(\(a \neq 0\)\) and \(\(b \neq 0\):\)
\(\[\int \cos(at) \, dt = \frac{1}{a} \cdot \cos(at) + \frac{1}{b} \cdot \sin(bt) + C\]\)
and
\(\[\int e^a t \cos(bt) \, dt = \frac{e^{at}}{a} \cdot \cos(bt) + \frac{b}{a^2 + b^2} \cdot \sin(bt) + C\]\)
Use this antiderivative to compute the following improper integral:
\(\[\int_{-\infty}^{0} \cos(3t) \, dt = \lim_{{T \to \infty}} \int_{0}^{T} e^t \cos(3t) \, e^{-st} \, dt = \lim_{{T \to \infty}} \text{ if } s \neq 1, \, \text{ or } \lim_{{T \to \infty}} \text{ if } s = 1.\]\)
For which values of \(\(s\)\) do the limits above exist? In other words, what is the domain of the Laplace transform of \(\(\frac{1}{\cos(3)} \cdot e^t \cos(3t)\)\)?
Evaluate the existing limit to compute the Laplace transform of on the domain you determined in the previous part:
\(\[L\{e^t \cos(3t)\\).
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Which set of values makes the inequality 1/4x + 2≥0
A. {-8,-4, 0, 4, 8}
O
B. {-12, -8, 0, 4, 8}
o
C. {-20, -16, -12, 0,4}
D. {-20, -16, 0, 16, 20}
Answer:
the answe is A.{-8,-4,0,4,8}
the population of elk in a national forest was measured to be 12,000 in 2003, and was measured again to be 12,700 in 2004. if the population continues to grow linearly at this rate, what will the elk population be in 2014?
The elk population in 2014 will be 19,700 ,A population is an identified grouping of objects with the purpose of analysis and data collection.
What is population?A population is an identified grouping of objects with the purpose of analysis and data collection. Examples include people and animals. It comprises of a related collection of species that live in a specific area and have the ability to interbreed.
The population increased by 12,700-12,000 = 700 between the two measures, however, it did so over a period of 1 year, from 2004 to 2003. Divide 700 elk by 1
The elk population in 2014 will be 19,700We must first establish the method
2014=700 should add 10 times then we will get the 2014th year population.
so the population of 2014th will 19700
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Is 87 + 53 positive or negative?
Answer:
Positive
Step-by-step explanation:
Two positive numbers when adding equal a positive.
87 + 53 = 140 So Positive.
Hope this helped.
Answer:
This is Positive
Step-by-step explanation:
The Answer is positive because its just normal adding
Hope i could help
Each class at Greenville School has 22 children enrolled. The school has 24 classes. How many children are enrolled at Greenville School?
Answer:
There were 528 students in Greenville school
What property is this an example of 56 + 82 = 82 + 56?
Answer:
Step-by-step explanation:
Commutative property
It will be nice if you give me brainliest.Good luck!
evaluate e - 1/2f when e = 15 and f=2
Answer:
14
Step-by-step explanation:
e=15 so you put in 15 instead of e so you get 15-1/2f and f=2 so you multiply 1/2*2=1 and 15-1=14
Hey there!
e - 1/2f
= 15 - 1/2(2)
= 15 - 1
= 14
Therefore, your answer is: 14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Expand and simplify:
5(x - 2) + 3(1 - x)
(with the steps)
Step-by-step explanation:
5x-10+3-3x
5x-3x-10+3
2x-7
hope it helps
Answer:
2x-7
Step-by-step explanation:
See image below:)
Find all of the cube roots of ii and write the answers in rectangular (standard) form.
To find all of the cube roots of ii and write the answers in rectangular form, we need to first express ii in polar form. To do this, we can convert ii to its polar form by writing it as a complex number in the form r(cosθ + isinθ), where r is the magnitude and θ is the argument.
In this case, we have ii = 1(cos(π/2) + isin(π/2)). The magnitude of ii is 1, and the argument is π/2. Now, to find the cube roots, we need to find the numbers that, when raised to the power of 3, give us ii. To find the cube roots, we can use De Moivre's theorem, which states that for any complex number z = r(cosθ + isinθ), the nth roots of z can be found by taking the nth root of the magnitude and dividing the argument by n.
In this case, we have n = 3, r = 1, and θ = π/2. Taking the cube root of the magnitude 1 gives us 1^(1/3) = 1. Dividing the argument π/2 by 3 gives us (π/2) / 3 = π/6. So, the first cube root is 1(cos(π/6) + isin(π/6)). To find the other cube roots, we can add multiples of 2π/3 to the argument. Adding 2π/3 to π/6 gives us π/6 + 2π/3 = π/2. So, the second cube root is 1(cos(π/2) + isin(π/2)), which is equal to ii. Adding another 2π/3 gives us π/2 + 2π/3 = 7π/6. So, the third cube root is 1(cos(7π/6) + isin(7π/6)). Therefore, the cube roots of ii in rectangular .
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Leslie planted a tree that grows at an average rate of 6 inches each year. What is the
slope of the line?
Answer:
you stated the question wrong, a tree grows upwards. state the question again
Answer:
slope = 6
Step-by-step explanation:
since the rate is 6 in/yr, the slope is 6.
Can someone help me with this one
Answer:
15
Step-by-step explanation:
i belive its 15 i think you should look where the dot is
Applied (Word) Problems NoteSheet
Consecutive Integers
Consecutive numbers (or more properly, consecutive integers) are integers nrand ngsuch that
/h - nl = I, i.e., IJlfollows immediately after 17,.
Given two consecutive numbers, one must be even and one must be odd. Since the sum of an
even number and an odd number is always odd, the sum of two consecutive numbers (and, in
fact, of any number of consecutive numbers) is always odd.
Consecutive integers are integers that follow each other in order. They have a difference of 1
between every two numbers.
If n is an integer, then n, n+1, and n+2 wi II be consecutive integers.
Examples:
1,2,3,4,5
-3,-2,-1,0,1,2
1004, 1005, 1006
The concept of consecutive integers is explained as follows:
Consecutive numbers, or consecutive integers, are integers that follow each other in order. The difference between any two consecutive numbers is always 1. For example, the consecutive numbers starting from 1 would be 1, 2, 3, 4, 5, and so on. Similarly, the consecutive numbers starting from -3 would be -3, -2, -1, 0, 1, 2, and so on.
It is important to note that if we have a consecutive sequence of integers, one number will be even, and the next number will be odd. This is because the parity (evenness or oddness) alternates as we move through consecutive integers.
Furthermore, the sum of two consecutive numbers (and, in fact, the sum of any number of consecutive numbers) is always an odd number. This is because when we add an even number to an odd number, the result is always an odd number.
To generate a sequence of consecutive integers, we can start with any integer n and then use n, n+1, n+2, and so on to obtain consecutive integers. For example, if n is an integer, then n, n+1, and n+2 will be consecutive integers.
Here are some examples of consecutive integers:
- Starting from 1: 1, 2, 3, 4, 5, ...
- Starting from -3: -3, -2, -1, 0, 1, 2, ...
- Starting from 1004: 1004, 1005, 1006, 1007, ...
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two fair dice are tossed together once
a. draw the sample space for the following outcome
b. find the probability of getting a total of 7 and 8
Therefore, the probability of getting a total of 7 is 6/36, which reduces to 1/6. The probability of getting a total of 8 is 5/36.
What is probability?In mathematics, probability is a measure of the likelihood that an event will occur. It is usually expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. The probability of an event A is denoted by P(A), and it is defined as the ratio of the number of outcomes favorable to A, to the total number of possible outcomes in the sample space.
Here,
a) The sample space for tossing two fair dice can be represented as a table, where each row represents the outcome of one die, and each column represents the outcome of the other die. The sample space for this experiment would consist of all possible combinations of the two dice outcomes. Here's how the sample space table would look like:
1 2 3 4 5 6
1 2 3 4 5 6 7
2 3 4 5 6 7 8
3 4 5 6 7 8 9
4 5 6 7 8 9 10
5 6 7 8 9 10 11
6 7 8 9 10 11 12
b) To find the probability of getting a total of 7 or 8, we need to count the number of possible outcomes that result in these totals, and then divide by the total number of possible outcomes in the sample space.
For a total of 7, there are 6 possible outcomes (1+6, 2+5, 3+4, 4+3, 5+2, 6+1).
=6/36
For a total of 8, there are 5 possible outcomes (2+6, 3+5, 4+4, 5+3, 6+2).
=5/36
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Complete question:
Two fair dice are tossed together once, what is:
a. draw the sample space for the following outcome
b. find the probability of getting a total of 7 and 8
How are the trigometric function values for a 60 degree angle related to those for a 30 degree angle
Trigonometric functions values of a 60-degree angle and a 30-degree angle are related to each other. The values of the sine, cosine, and tangent functions of a 60-degree angle are the same as the values of a 30-degree angle. However, the values of cosecant, secant, and cotangent functions of 60 degrees angle are opposite of 30 degrees angle.
This is because, in a right-angled triangle, the side opposite the 60-degree angle is twice the length of the side opposite the 30-degree angle. The six trigonometric functions values of an angle can be defined as ratios of the side lengths in a right-angled triangle with respect to the angle. A right-angled triangle can be used to understand and calculate the values of the six trigonometric functions.
For any given acute angle, the six trigonometric functions of the angle will always have the same ratio, regardless of the size of the triangle or the length of its sides. However, the values of the six trigonometric functions vary depending on the angle.In the case of a 60-degree angle and a 30-degree angle, these two angles are commonly used in trigonometry because they can be easily evaluated using special triangles. In a right-angled triangle with a 30-degree angle, the side opposite to the angle is half the length of the hypotenuse. Whereas, in a right-angled triangle with a 60-degree angle, the side opposite to the angle is twice the length of the side opposite to the 30-degree angle.In the special triangle, if the length of the shorter leg is 1, then the length of the hypotenuse is 2 and the length of the longer leg is √3. These are the ratios for a 30-degree angle and the same ratios for a 60-degree angle are: sin 60° = sin 30° = 1/2, cos 60° = cos 30° = √3/2, and tan 60° = tan 30° = √3/3. However, the values of cosecant, secant, and cotangent functions of 60 degrees angle are opposite of 30 degrees angle.
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Your friend writes 1.475% as a decimal. Is your friend correct? Explain your reasoning. 1.475% = 1.475% = 147.5
Answer:
no because the decimal doesn't have a % sign its 147.5
solve by iteration: (10) (i)t(n) = t(n-2) 2n t (1) = 1, t (0) = 0. (ii)t(n) = t(n-1) n/2 t (1) = 1. 2. solve the following rr with the recursion tree method: t(n)= 4t(n/2) n2, t (1) =1.
The statement is true. If dxdy = 1 and dydx = 0, then the tangent line to the curve y = f(x) is horizontal.
The derivatives dy/dx and dx/dy provide information about the slope of a curve at a given point. If dy/dx = 0, it indicates that the curve has a horizontal tangent at that point. Similarly, if dx/dy = 1, it means that the curve has a slope of 1 with respect to y.
Given the condition dxdy = 1 and dydx = 0, we can conclude that the curve has a horizontal tangent line. This is because dy/dx = 0 implies that the slope with respect to x is zero, and dx/dy = 1 implies that the slope with respect to y is 1.
In other words, at any point on the curve y = f(x), the tangent line will be horizontal since the slope is zero with respect to x and the slope with respect to y is 1. A horizontal tangent line indicates that the curve is neither increasing nor decreasing in the x-direction, and the rate of change is solely in the y-direction.
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Which shows this in logarithmic form?o - l0gg4B)wIN • l0g48C) 4 = log2/381ND) 4 - 10987
Given the exponential expression
\(8^{\frac{2}{3}}=4\)Give the general exponential equation
\(a^b=y\)The equivalent logarithmic functions is given as:
\(log_ay=b\)Compared with the exponential function:
• a = 8
,• b = 2/3
,• y = 4
Substitute into the logarithm equivalent:
\(\begin{gathered} log_84=\frac{2}{3} \\ Swap \\ \frac{2}{3}=log_84 \end{gathered}\)