The standard error of the estimate is approximately 3,037.57.
The standard error of the estimate (SE) is a measure of the variability of the observed values around the regression line. It gives an idea of how closely the data points cluster around the regression line.
SE can be calculated using the formula:
SE = sqrt(SSE / (n - 2))
where SSE is the sum of squared errors, n is the sample size, and 2 represents the number of parameters estimated (the intercept and the slope).
Substituting the given values, we get:
SE = sqrt(4,182,663 / (41 - 2)) = sqrt(4,182,663 / 39) = 3,037.57
Therefore, the standard error of the estimate is approximately 3,037.57.
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A tower casts a shadow of 10 meters long. John is 2 meters tall and casts a shadow that is 1.5 meters long Round to nearest tenth of meter. Height of the tower is __ meters tall.
Answer: 7.5 i believe
Step-by-step explanation:
a math class consists of 21 female students and 22 male students. two students are selected at random to participate in a probability experiment. compute the following probabilities. write your answers in decimal form. round to the nearest thousandth as needed. a. a male is selected, then a female. 0.280 incorrect b. a female is selected, then a male. c. two males are selected. d. two females are selected. e. no males are selected
The probability is the same as in part (d):
(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)
Let's begin by calculating the total number of ways to select two students from a group of 43. This can be done using the combination formula:
C(43,2) = (43!)/(2!(43-2)!) = 903
a. To calculate the probability that a male is selected first and then a female, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select a female from the remaining 42 students. Therefore, the probability is:
(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)
b. To calculate the probability that a female is selected first and then a male, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 22 ways to select a male from the remaining 42 students. Therefore, the probability is:
(21/43) * (22/42) = 0.261 (rounded to the nearest thousandth)
c. To calculate the probability that two males are selected, we need to consider that there are 22 ways to select a male from the group of 43 students, and then 21 ways to select another male from the remaining 42 students. Therefore, the probability is:
(22/43) * (21/42) = 0.280 (rounded to the nearest thousandth)
d. To calculate the probability that two females are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is:
(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)
e. To calculate the probability that no males are selected, we need to consider that there are 21 ways to select a female from the group of 43 students, and then 20 ways to select another female from the remaining 42 students. Therefore, the probability is the same as in part (d):
(21/43) * (20/42) = 0.227 (rounded to the nearest thousandth)
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Question 2Based on corresponding angles and vertical angles, which angles must always be congruent to the angles given? Complete the table.Angle Congruent AngleABCDELLFGH
Given:
Given a figure.
Required:
To complete the table by find the congruent angles.
Explanation:
Congruent angles are two or more angles that are identical to each other.
Here based on corresponding angles and vertical angles, the congruent angles are
\(\begin{gathered} A=C,E \\ B=D,F \\ C=A,G \\ D=B,H \\ E=G,A \\ F=H,B \\ G=E,C \\ H=F,D \end{gathered}\)Final Answer:
\(\begin{gathered} A=C,E \\ B=D,F \\ C=A,G \\ D=B,H \\ E=G,A \\ F=H,B \\ G=E,C \\ H=F,D \end{gathered}\)What is the integral of x?
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The integral of x is :
\( \dfrac{x {}^{2} }{2} + c\)MELISSA WROTE AN INTEGER. THE OPPOSITE OF HER INTEGER IS -67.
WHICH OF THESE STATEMENTS ABOUT GEORGES INTEGER MUST BE
TRUE?
The integer is 67.
The integer has an absolute value of -67.
The integer is -67.
The integer has an absolute value of 67.
III.
IV.
Answer:The integer is 67
Step-by-step explanation:
I need help what is the missing angle
Answer:
Step-by-step explanation:
It is very simple
118 + 90 + 70 + x = 360
x + 278 = 360
x = 82
3 Four bakers shared 5 kilograms of sugar equally. How much sugar did they each receive?
Answer:
5kg divided by 4 bakers.
5/4= 1.25kg or 1 1/4kg
Answer:
35
Step-by-step explanation:
5*3+4*5
The soccer team is
conducting a fundraiser selling long-sleeved T-shirts for $14 and short-sleeved T-shirts for $10.
So far the team has sold less than $200 worth of the two types of T-shirts. Which inequality best represents x, the
number of long-sleeved T-shirts they have sold, and y, the number of short-sleeved T-shirts they have sold?
O x + y < 200
O x + y > 200
O 14x + 10y > 200
O 14x + 10y < 200
Answer
it’s c
Step-by-step explanation:
you fool I have been trained in your Jedi arts by count dooku
I got a hundo on the test
Inequalities help us to compare two unequal expressions. The inequality that best the T-shirts they have sold is 14x+10y<200.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.
It is mostly denoted by the symbol <, >, ≤, and ≥.
Given the cost of long-sleeved T-shirts is $14, while the short-sleeved T-shirts cost $10. Also, it is given the number of long-sleeved T-shirts is represented by x, while the number of short-sleeved T-shirts is represented by y. Therefore,
14x + 10y
Since the sales done is less than $200, therefore, the inequality that best the T-shirts they have sold is,
14x + 10y < 200
Hence, the inequality that best the T-shirts they have sold is 14x+10y<200.
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(7x² + 3x + 5) + (4x²-3)
Simplify:
\((7x^2+3x+5)+(4x^2-3)\)Explanation:
\(\begin{gathered} (7x^2+3x+5)+(4x^2-3) \\ =11x^2+3x+2 \\ \end{gathered}\)\(\)ECTIONS: Determine the next 3 terms for each an
13. 8, 14, 20, 26, _____ _____ _____
14. 90, 75, 60, 45,___ ____ ____
15. -24, -14, -4, 6,____ _____
______
Answer:
13. 32, 38, 44
14. 30, 15, 0
15. 16, 26, 36
Step-by-step explanation:
13. Add 6.
8, 14, 20, 26, 32, 38, 44
14. Subtract 15.
90, 75, 60, 45, 30, 15, 0
15. Add 10.
-24, -14, -4, 6, 16, 26, 36
solve for x Express your answer as an integers or in simplest radical form 1-x^3=9
Answer:
\(\large\boxed{\tt x = 2}\)
Step-by-step explanation:
\(\textsf{We are asked to solve for x in the given equation.}\)
\(\textsf{We should know that x is cubed, meaning that it's multiplied by itself 3 times.}\)
\(\textsf{We should isolate x on the left side of the equation, then find x by cubic rooting}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{How is this possible?}}\)
\(\textsf{To isolate variables, we use Properties of Equality to prove that expressions}\)
\(\textsf{are still equal once a constant has changed both sides of the equation. A Cubic}\)
\(\textsf{Root is exactly like a square root, but it's square rooting the term twice instead}\)
\(\textsf{of once.}\)
\(\large\underline{\textsf{For our problem;}}\)
\(\textsf{We should use the Subtraction Property of Equality to isolate x, then cubic root}\)
\(\textsf{both sides of the equation.}\)
\(\large\underline{\textsf{Solving;}}\)
\(\textsf{Subtract 1 from both sides of the equation keeping in mind the Subtraction}\)
\(\textsf{Property of Equality;}/tex]
\(\tt \not{1} - \not{1} - x^{3} = 9 - 1\)
\(\tt - x^{3} = 8\)
\(\textsf{Because x}^{3} \ \textsf{is negative, we should exponentiate both sides of the equation by}\)
\(\textsf{the reciprocal of 3, which is} \ \tt \frac{1}{3} .\)
\(\tt (- x^{3})^{\frac{1}{3}} = 8^{\frac{1}{3}}\)
\(\underline{\textsf{Evaluate;}}\)
\(\tt (- x^{3})^{\frac{1}{3}} \rightarrow -x^{3 \times \frac{1}{3} } \rightarrow \boxed{\tt -x}\)
\(\textsf{*Note;}\)
\(\boxed{\tt A^{\frac{1}{C}} = \sqrt[\tt C]{\tt A}}\)
\(\tt 8^{\frac{1}{3}} \rightarrow \sqrt[3]{8} \rightarrow 2^{1} \rightarrow \boxed{\tt 2}\)
\(\underline{\textsf{We should have;}}\)
\(\tt -x=2\)
\(\textsf{Use the Division Property of Equality to divide each side of the equation by -1;}\)
\(\large\boxed{\tt x = 2}\)
An object moves on a horizontal coordinate line. Its directed distance s from the origin at the end of t seconds is s(t) = (t3 - 6+2 +9t) feet. a. when is the object moving to the left? b. what is its acceleration when its velocity is equal to zero? c. when is the acceleration positive? d. when is its speed increasing?
The object is moving to the left when its velocity is negative. The acceleration is zero when the velocity is zero. The acceleration is positive when the velocity is increasing. The speed is increasing when the velocity is positive.
The position of the object is given by the function s(t) = t^3 - 6t^2 + 9t. The velocity of the object is the derivative of the position function, which is v(t) = 3t^2 - 12t + 9. The acceleration of the object is the derivative of the velocity function, which is a(t) = 6t - 12.
The object is moving to the left when its velocity is negative. This occurs when 3t^2 - 12t + 9 < 0. This inequality factors as (t - 3)(3t - 3) < 0. The solutions to this inequality are t < 0 and 3 < t. Therefore, the object is moving to the left when t is in the interval (-infinity, 0) or (3, infinity). The acceleration is zero when the velocity is zero. This occurs when 3t^2 - 12t + 9 = 0. This equation factors as (t - 3)(3t - 3) = 0. The solutions to this equation are t = 0 and t = 3. Therefore, the acceleration is zero when t is equal to 0 or 3.
The acceleration is positive when the velocity is increasing. This occurs when 6t - 12 > 0. This inequality factors as 6(t - 2) > 0. The solutions to this inequality are t > 2. Therefore, the acceleration is positive when t is greater than 2. The speed of the object is increasing when the velocity is positive. This occurs when 3t^2 - 12t + 9 > 0. This inequality factors as (t - 3)(3t - 3) > 0. The solutions to this inequality are t < 0 and 3 < t. Therefore, the speed of the object is increasing when t is in the interval (-infinity, 0) or (3, infinity).
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-3y > 9 or 2y - 6> 2 plz solve the inequality
Answer:
y > 4
Step-by-step explanation:
if you are doing 2y-6 >2, firstly move the constant to the right to get 2y > 2+6. Then calculate the sides, you get 2y > 8. Divide both by 2 and get y > 4
Answer:
-3y>9= y<-3
2y-6>2=y>4
Please answer worksheet 50 points!! And I’ll mark brainliest
Answer:
Whoops that you didn't add the worksheet but thanks for the points anyways?
Step-by-step explanation:
Hope you have a good day though. :)
Indicate whether the measures 7, 7, and 11 can be the side lengths of a triangle. If so, classify the triangle as either right, acute, or obtuse.
Answer:
yes; obtuse
Step-by-step explanation:
Find a power series representation for the function. (give your power series representation centered at x = 0. ) f(x) = ln(5 − x)
Recall that for \(|x|<1\), we have the convergent geometric series
\(\displaystyle \sum_{n=0}^\infty x^n = \frac1{1-x}\)
Now, for \(\left|\frac x5\right| < 1\), we have
\(\dfrac1{5 - x} = \dfrac15 \cdot \dfrac1{1 - \frac x5} = \dfrac15 \displaystyle \sum_{n=0}^\infty \left(\frac x5\right)^n = \sum_{n=0}^\infty \frac{x^n}{5^{n+1}}\)
Integrating both sides gives
\(\displaystyle \int \frac{dx}{5-x} = C + \int \sum_{n=0}^\infty \frac{x^n}{5^{n+1}} \, dx\)
\(\displaystyle -\ln(5-x) = C + \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}\)
If we let \(x=0\), the sum on the right side drops out and we're left with \(C=-\ln(5)\).
It follows that
\(\displaystyle \ln(5-x) = \ln(5) - \sum_{n=0}^\infty \frac{x^{n+1}}{5^{n+1}(n+1)}\)
or
\(\displaystyle \ln(5-x) = \boxed{\ln(5) - \sum_{n=1}^\infty \frac{x^n}{5^n n}}\)
Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width. Lyle can afford no more than 560 feet of fence. Write
an inequality to show that the perimeter of the dog pen can be no more than 560 feet.
2 (12 + w) + 2w < 560
(12 + 2) + w < 560
o 2(12 + w) + 2w< 560
0 (12+w) + w < 560
Answer:
2(2W+12) < 560
Step-by-step explanation:
Perimeter of a rectangular dog pen P = 2(L+W) where;
L is the length of the dog pen
W is the width of the dog pen
If Lyle wants to build a rectangular dog pen with a length that is 12 feet more than the width, then L = W+12
If Lyle can afford no more than 560 feet of fence, this means that the perimeter cannot be more than 560feet i.e P<560
The inequality to show that the perimeter of the dog pen can be no more than 560 feet is expressed as P < 2(L+W)
Substituting the given parameters;
2([W+12]+W)<560
2(2W+12)<560
Hence the inequality to show that the perimeter of the dog pen can be no more than 560 feet is 2(2W+12)<560
7/12 = 3x/9
In the equation above, what is the value of x?
A. 4/7
B. 4/21
C. 1 3/4
D. 5 1/4
Don’t link any websites please.
Answer:
C. x = 1 3/4
Step-by-step explanation:
7/12 * 9 = 3x/9 * 9
63/12 = 3x -->
(63/12) / 3 = 3x / 3
63/36 = x
x = 7/4 --> 1 3/4
to define a default field value, add the attribute ____.
To define a default field value in a form or a database, you can use the attribute "default". When you add the "default" attribute to a field, it will automatically assign the specified value to that field if no other value is provided by the user or system.
This can be particularly useful when designing forms or databases that require certain fields to have a value even when the user does not provide one.
For example, in a web form, you might have a "Country" field that requires users to select their country from a dropdown list. By setting a default value for this field, such as "United States," the system ensures that there is always a value associated with that field even if the user does not make a selection.
Similarly, in a database schema, you might have a "DateCreated" field that automatically assigns the current date and time as the default value. This ensures that the date and time are always recorded for each new entry, even if the user does not manually input a value.
In both cases, the "default" attribute allows you to streamline the data collection process and ensure that your forms and databases maintain consistent and complete data. Using default values can also improve the user experience by reducing the amount of input required, making it easier for users to complete forms and submit their data.
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The following histogram was compiled as part of a survey taken door to door on a Monday morning from 10 A.M. to 2 P.M.
It lists the ages of the respondents. What is a reasonable explanation for the large gap?
I'd really appreciate the answer to this. Please and thank you :).
Data from a voluntary response sample, which is not representative of the population, are included in the histogram.
What is meant by histogram?A histogram is a bar graph-like data visualization that groups various class levels into columns along the horizontal x-axis. Each column's data count or percentage of occurrences are shown on the vertical y-axis. Data distribution patterns can be seen visually using columns.
A common tool for graphing is the histogram. It is employed to summarise continuous or discrete data that is measured on an interval scale. It is frequently used to provide a convenient manner of illustration for the main characteristics of the data distribution.
Histograms show numerical or quantitative data, whereas bar charts show categorical factors.
Therefore, the correct answer is option b) The histogram includes data from a voluntary response sample which is not representative of the population.
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Solve the system of linear equations by graphing.
x - 4y = -4
-3x – 4y = 12
Answer:
We conclude that the solution to the system of linear equations will be:
(x, y) = (-4, 0)
Step-by-step explanation:
Please check the attached diagram.
In the attached diagram:
The red line represents the line x - 4y = -4The blue line represents the line -3x – 4y = 12From the diagram, we can easily identify that both lines meet or intersect at x = -4 and y = 0.
In other words, the point of intersection of the system of equations is:
(x, y) = (-4, 0)
We know that the point(s) of the intersection of the system of equations represents the solution of the system of equations.
Therefore, we conclude that the solution to the system of linear equations will be:
(x, y) = (-4, 0)
Please see attachment below, 40 points!!!
Answer: I would say 68 i believe this because if i do remember correctly you have to make it equal 192 and 68 did that.
Step-by-step explanation: Sorry if im wrong.
Self-confidence is an attitude about your skills and abilities. It means you accept and trust yourself and have a sense of control in your life. You know your strengths and weakness well, and have a positive view of yourself. You set realistic expectations and goals, communicate assertive
Can somebody plz help answer these questions correclty (like what the letter equals) thanks! :3
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD
Charles and Jaden share a reward of $63 in a ratio of 2 : 5. How much does Jaden get?
Step by step please
Thank you asap
Answer:
Jaden gets $45
Step-by-step explanation:
2:5 is a part to part ratio, which means that there are seven parts. (2+5=7)
There are seven parts of 9 in 63. (63/7=9)
Charles gets two of those parts and Jaden gets 5 of those parts, so Charlies gets two 9s, and Jaden gets five 9s.
Charlie: 2 x 9 = 18
Jaden: 5 x 9 = 45
A recent study reported that 60% of the children in a particular community were overwoight or obese. Suppose a random sample of 200 public school children is taken from this community. Assume the sample was taken in such a way that the conditions for using the Central Limit Theorem are met. We are interested in finding the probability that the proportion of overveightfobese children in the sample will be greater than 0.57. Complete parts (a) and (b) below. a. Before doing any calculations, determine whether this probability is greater than 50% or less than 50%. Why? A. The answer should be less than 50%. because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. B. The answer should be greater than 50%, because the resulting z-score will be positive and the sampling distribution is approximately Normal. C. The answer should be greater than 50%, because 0.57 is less than the population proportion of 0.60 and because the sampling distribution is approximately Normal. 0. The answer should be less than 50%, because the resulting z-score will be negative and the sampling distribution is approximately Normal.
The probability that the proportion of overweight or obese children in the sample will be greater than 0.57 is less than 50%.
The first paragraph summarizes the answer, stating that the probability is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
In the second paragraph, we can explain the reasoning behind this conclusion. The Central Limit Theorem states that for a large sample size, the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution. In this case, the sample was taken in a way that meets the conditions for using the Central Limit Theorem.
Since the population proportion of overweight or obese children is 0.60, any sample proportion below this value is more likely to occur. Therefore, the probability of obtaining a sample proportion greater than 0.57 would be less than 50%. This is because the resulting z-score, which measures how many standard deviations the sample proportion is away from the population proportion, would be negative.
To summarize, the probability of the proportion of overweight or obese children in the sample being greater than 0.57 is less than 50% because 0.57 is less than the population proportion of 0.60, and the sampling distribution is approximately normal.
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At a movie theatre, the ratio of filled seats to empty seats are 6:5. There are 120 empty seats. How many seats are filled?
1.4375
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Answer:
144
Step-by-step explanation:
you divide 120 by 5 to get 24 then you multiply it by 6 to get 144
A bar of soap is shaped like a right rectangular prism. The base is a rectangle that is 12 centimeters by 2 centimeters. The height is 3 centimeters. A second bar of soap is shaped like a square pyramid with the same volume as the first bar of soap. Each side of the base of the pyramid is 6 centimeters in length. What is the height of the pyramid?
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Please help be geniune how many times do I need to say NO LINKS god . I will mark brainliest please help :(
Answer:
answer: 510 square feet
What translation is shown below?
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do you go to church? the gallup poll asked a random sample of 1785 adults whether they attended church during the past week. let p^ be the proportion of people in the sample who attended church. a newspaper report claims that 40% of all u.s. adults went to church last week. suppose this claim is true. (a) what is the mean of the sampling distribution of p^? why?
The mean of the sampling distribution of p is 0.4.
What is mean of the sampling distribution?
Mean is the average of set data include set data of sampling distribution. Mean can be calculate by sum all data value and divided the result by numbers of data, or mathematically is
Mean = \(\frac{\sum x}{n}\)
Given,
a newspaper report claimed that 40% of all US adults went to church last week. This tells us that the average US adult going to church in the last week was 40% from all US adults, which in mathematics is called mean.
Why?
Mean is the average of set data, in the question set data are US adults represented by a random sample of 1785 adults. The average US adults going to church is 40% or 0.4 which represents the mean.
Thus, the mean of the sampling distribution of p is 0.4.
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