Find the equation for the line of best fit.
1.
X235
7
11
16
24
Equation:
quation
r value:
y
5.8
4.55
2.05
-.45
-5.45
-11.7
-21.7
The equation of the line of best fit is given as follows:
y = -1.25x + 8.3.
How to find the equation of linear regression?To find the regression equation, which is also called called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator.
The points for this problem are given as follows:
(2, 5.8), (3, 4.55), (5, 2.05), (7, -0.45), (11, -5.45), (16, -11.7), (24, -21.7).
Inserting these points into a calculator, the equation is given as follows:
y = -1.25x + 8.3.
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Warning MEGA HARD question
What’s 9999999999999999x99999999999999
Answer:
1E+30
Step-by-step explanation:
PLEASE HELP ME FIND DE, EF, and m
The values of the missing sides and angles of the triangle using sine rule are;
DE = 18.3
<D = 84°
EF = 20.8
How to Use the sine rule?Sine rule is a method that is used to find the missing angles and sides of triangles.
Thus, it is expressed as;
a/sin A = b/sin B = c/sin C
Thus;
12/sin 35 = DE/sin 61
DE = 12(sin 61)/sin 35
DE = 18.3
Sum of angles in a triangle is 180°. Thus;
<D = 180 - (61 + 35)
<D = 84°
Similarly;
EF/sin 84 = 12/sin 35
EF = 12(sin 84)/sin 35
EF = 20.8
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PLEASE HELP MEEEE
Jessica has 400 cm^3 of material. She uses 35cm^3 to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 2.5
How much more material does Jessica need in order to make the second prism?
(THE ANSWER IS NOT 52.8)
Answer:
Jessica has 400 cm^3 of material. She uses 35cm^3 to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 2.5.
The volume of the first prism is 35 cm^3. Since the second prism is a dilation of the first prism with a scale factor of 2.5, its volume will be (2.5)^3 = 15.625 times greater than that of the first prism. Therefore, the volume of the second prism will be 35 x 15.625 = 546.875 cm^3.
To make the second prism, Jessica needs an additional material of 546.875 - 35 = 511.875 cm^3.
So Jessica needs an additional material of 511.875 cm^3 to make the second prism.
Step-by-step explanation:
example of writing a linear approximation and approximating the value of a functionIf y = 2x2 + x - 4, find the equation of the tangent when x = 1.
The equation of the tangent line to the function y = 2x^2 + x - 4 at the point x = 1 is y + 1 = 5(x - 1).
To find the equation of the tangent line to the function y = 2x^2 + x - 4 at the point x = 1,
we will follow these steps:
Evaluate the function at x = 1 to find the point (1, y):
[tex]y = 2(1)^2 + 1 - 4[/tex]
y = 2 + 1 - 4
y = -1
So, the point is (1, -1).
Find the derivative of the function to get the slope of the tangent line:
[tex]dy/dx = d(2x^2 + x - 4)/dx[/tex]
dy/dx = 4x + 1
Evaluate the derivative at x = 1 to find the slope of the tangent line:
m = 4(1) + 1
m = 5
Use the point-slope form to find the equation of the tangent line:
y - y1 = m(x - x1)
y - (-1) = 5(x - 1).
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I draw two cards from a well-shuffled deck, without replacement. What is the probability that I will draw two aces?
The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement is 0.45%.
The probability of drawing two aces from a well-shuffled deck of 52 cards without replacement can be calculated as follows:
First, we calculate the probability of drawing an ace on the first draw. Since there are four aces in the deck and 52 cards in total, the probability of drawing an ace on the first draw is:
P(Ace on first draw) = 4/52 = 1/13
Next, we need to calculate the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw. Since there are now only three aces remaining in the deck and 51 cards in total, the probability of drawing an ace on the second draw is:
P(Ace on second draw given an ace on first draw) = 3/51
To calculate the probability of drawing two aces, we multiply the probability of drawing an ace on the first draw by the probability of drawing an ace on the second draw, given that an ace was already drawn on the first draw:
P(Drawing two aces) = P(Ace on first draw) x P(Ace on second draw given an ace on first draw)
P(Drawing two aces) = (1/13) x (3/51)
P(Drawing two aces) = 0.0045 or approximately 0.45%.
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The angle of elevation from object A to object B is always
the,(__________) the angle of depression from object B to object A.
A. Greater Than
B. Less Than
C. Equal to
D. Unrelated to
I need helpp please do as many as u can but can you please do the whole thing thank youuuuuu
The values of following in parallel lines are:
Angle 3 and Angle 6 are an example of corresponding angles. (Option D is the correct answer).
Angle 1 and Angle 5 are an example of corresponding angles. (Option D is the correct answer).
Angle 6 and Angle 7 are an example of alternate interior angles. (Option B is the correct answer).
Angle 28 would not be congruent to the measure of 27. (Option A is the correct answer).
Angle 41 and Angle 23 are an example of corresponding angles. (Option D is the correct answer).
Option B: 23 is not an example of supplementary angles.
Angle 22 is vertical to Angle 27. Therefore, m22 = m27 = 115°.
Angle 23 and Angle 25 are alternate interior angles, so they are congruent. Therefore, m23 = m25 = 63°.
Angle 1 and Angle 26 are corresponding angles, so they are congruent. Therefore, mz1 = mz6 = 57°.
What is parallel lines?Parallel lines are two or more lines in a plane that never intersect each other, no matter how far they are extended. In other words, they are always at the same distance from each other and never cross.
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10 yd
T
12 yd
5 yd
Name of figure: ___\\
Volume:
Answer:
name of figure : pyramid
volume : 200yds.
Step-by-step explanation:
The formula for volume of a pyramid is 1/3(lwh), in this case, it would be 1/3(12x5x10). 12x5x10 is 600, and 1/3 of 600 is 200. Therefore, the volume is 200yds.
IM VERY SORRY IF THIS DIDN'T MAKE SENSE!
on tuesday, a local gas station had 135 135135 customers. the table above summarizes whether or not the customers on tuesday purchased gasoline, a beverage, both, or neither. based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?
The probability that a randomly selected gas station customer on that day did not purchase gasoline is 10/27.
We know that, the probability of any event is the ratio of the number of favorable case to that event to the total number of cases.
The total number of customers in that Gas Station on that day = 135
According to the data table,
Number of customers did not purchase gas but purchased beverage = 35
Number of customers neither purchase gas nor beverage = 15
So total number of customers did not purchase gas = 35 + 15 = 50
Here number of favorable cases = 50
So the probability that a randomly selected gas station customer on that day did not purchase gasoline = 50/135 = 10/27.
Hence the required probability is 10/27.
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The given question is incomplete. The complete question is -
"On Tuesday, a local gas station had 135 customers. The table above summarizes whether or not the customers on Tuesday purchased gasoline, a beverage, both, or neither. Based on the data in the table, what is the probability that a gas station customer selected at random on that day did not purchase gasoline?
Customer Purchases at a Gas Station"
2. Find the volume. Show work, and round to 2 decimal places
*triangle based prism*
answer
as we all know volume is equal to length times width times height therefore to get you answer you have to multiply all the three giving measurements the answer that you get you are supposed to round it to the nearest to decimal places when you say around it off to the nearest two decimal places it means that they need to be too this two numbers after the coma
A level 0. 95 confidence interval is: a range of values with margin of error ± 0. 95, which is also correct 95% of the time. Any interval with margin of error ± 0. 95. A range of values computed from sample data that will contain the true value of the parameter of interest 95% of the time. A range of values computed from sample data by a method that guarantees that the probability the interval computed contains the parameter of interest is 0. 95
A level 0.95 confidence interval is a range of values computed from sample data that will contain the true value of the parameter of interest 95% of the time. So, the correct answer is C).
A level 0.95 confidence interval is a statistical measure used to estimate the true value of a population parameter based on a sample of data. It provides a range of values that is likely to contain the true value of the parameter with a certain degree of confidence.
The level of confidence, in this case 0.95, means that if the same sampling method and data analysis were repeated multiple times, the resulting confidence intervals would contain the true population parameter in 95% of cases.
The width of the interval, or margin of error, is influenced by factors such as sample size, variability, and level of confidence. So, the correct option is C).
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three or more lines that contain the same point are called?
Answer:
concurrent lines
Step-by-step explanation:
If there are more than 2 lines (or in this case, 3 lines) that meet at a singular and same point, then they are called concurrent lines.
7) suppose that the temperatures of healthy humans are approximately normally distributed with a mean of 98.6 degrees and a standard deviation of 0.8 degrees. if 130 healthy people are selected at random, the probability that the average temperature for these people is 98.25 degrees or higher is closest to
Answer: To solve this problem, we need to use the central limit theorem to find the distribution of the sample means. The central limit theorem states that if we take random samples of size n from a population with a mean μ and a standard deviation σ, the distribution of the sample means approaches a normal distribution with a mean of μ and a standard deviation of σ/√n, as n gets larger.
In this case, we have a population of healthy humans with a mean temperature of μ = 98.6 degrees and a standard deviation of σ = 0.8 degrees. We want to find the probability that the average temperature for a sample of 130 healthy people is 98.25 degrees or higher. The sample size is large enough to use the normal distribution to approximate the distribution of the sample means.
The z-score corresponding to a sample mean of 98.25 degrees is:
z = (98.25 - 98.6) / (0.8 / sqrt(130)) = -1.91
Using a standard normal distribution table or calculator, we can find the probability that a standard normal random variable is greater than -1.91:
P(Z > -1.91) = 0.9719
Therefore, the probability that the average temperature for a sample of 130 healthy people is 98.25 degrees or higher is approximately 0.9719 or 97.19%.
Step-by-step explanation:
............................... help
Answer:
Based on the given options, the correct answer is A.
Option A states that the price in the year 2012 is $18,000, which describes a point on a graph or chart that represents a data point for the year 2012 and a value of $18,000. This is a common way to describe a data point on a graph or chart.
Option B is not a logical description of a point and does not provide a clear indication of the relationship between the year and the price.
Option C describes a different price point for the year 2012 than option A.
Option D describes a point in the year 2010, not 2012 as specified in the question stem.
Option E describes a different price point for the year 2010 than option D and does not specify the price in 2012.
Answer:
In the year 2012, the price is 18000
Step-by-step explanation:
The x coordinate is 2012
The y coordinate is 18000
The price is 18000 and the year is 2012.
In the year 2012, the price is 18000.
Jackson bought 5 books that cost $7 each. How much change did he get from $40?
The remaining amount that Jackson has is $5.
The cost of 5 books at $7 each is:
5 books * $7/book = $35
To find the amount of change Jackson got from $40, we need to subtract the cost of the books from $40:
$40 - $35 = $5
Therefore, Jackson got $5 in change.
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Why is the central limit therom an important therom in statistics?
The Central Limit Theorem (CLT) is an important theorem in statistics because it serves as the foundation for various statistical techniques and analyses.
The CLT states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the population's original distribution, provided that the population has finite mean and variance.
Normality:
The CLT establishes the concept of normality, which is a critical assumption in numerous statistical tests such as the t-test, z-test, and ANOVA. By knowing that the sample means are normally distributed, we can apply these tests to make inferences about population parameters.
Simplification:
Due to the CLT, we can simplify complex statistical problems by using normal distributions instead of dealing with the original population distribution.
Calculations more manageable and allows us to utilize the standard normal distribution table.
Confidence intervals:
The CLT enables us to construct confidence intervals for population parameters such as the mean.
Essential in estimating unknown population parameters based on sample data and understanding the associated uncertainty.
Margin of error:
The theorem helps in determining the margin of error for estimates, allowing us to quantify the accuracy of our estimates and make better decisions based on data.
Large sample sizes:
The CLT is particularly relevant when dealing with large sample sizes, as the distribution of sample means becomes more normal, and we can apply various statistical techniques with greater confidence.
The Central Limit Theorem is important in statistics because it enables us to assume normality, simplify problems, construct confidence intervals, determine the margin of error, and apply various statistical techniques with greater confidence, especially when dealing with large sample sizes.
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If a cylinder has a volume of 2908.33 in^3 and a radius of 11.5 in. What is the height of the cylinder
*
5 in
6 in
7 in
8 in
If a cylinder has a volume of 2908.33 in³ and a radius of 11.5 in, the height of the cylinder include the following: C. 7 inches.
How to calculate the volume of a cylinder?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height of a cylinder.r represents the radius of a cylinder.By substituting the parameters, we have the following:
2908.33 = 3.14 × 11.5² × h
Height, h = 7.00 inches.
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How to do substitution
Warm Up (4/13) 1 of 21 of 2 Items Question POSSIBLE POINTS: 1 Responses A A B B C C D D Skip to navigation
Answer:
Since line segment PQ is the result of reflecting line segment AB across the x-axis, we know that the y-coordinates of corresponding points on AB and PQ are the same but have opposite signs.
So if P has coordinates (2,-2) on PQ, then its corresponding point on AB must have coordinates (2, 2). Similarly, if Q has coordinates (8,-2) on PQ, then its corresponding point on AB must have coordinates (8, 2).
Therefore, the length of line segment AB is the distance between points (2, 2) and (8, 2) on the coordinate plane, which is:
AB = |8 - 2| = 6
So the answer is B) 6
Help please !
I need the answer I’m stuck
Answer: I think it might be A.
Step-by-step explanation:
sam is a regular at joe's diner. according to the waitress, the probability that sam will order ham is 0.8 and the probability that he will order coffee is 0.65. what is the probability that he will order neither ham nor coffee?
For an event based on order by sam for ham and coffee with different probabilities, then the probability that he will order neither ham nor coffee is equals to the 0.07.
We have sam is a regular customer at joe's diner. Let us consider two events be defined as A: sam will order ham
B: sam will order coffee
Now, the probability that sam will order ham, P( A) = 0.8
The probability that sam will order coffee, P( B) = 0.65
We have to determine the probability that he will order neither ham nor coffee.
Probability is chances of occurrence of an event. It is calculated by dividing the favourable response to total possible outcomes. Probability value always lies between 0 to 1. Apply probability law P( will order ham ) + P( will not order ham) = 1
=> Probability that sam will not order ham
[tex]P( \bar A ) [/tex] = 1 - 0.8 = 0.2
Probability that sam will not order coffee,
[tex]P( \bar A ) [/tex]= 1 - 0.65 = 0.35
Now, as we see both events A and B are independent events so, there corresponding also independent. Therefore, Probability that he will order neither ham nor coffee, [tex] P( \bar A ∩ \bar B) [/tex]
[tex]= P( \bar A) P(\bar B) [/tex]
= 0.2 × 0.35 = 0.07
Hence, required probability is 0.07.
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Find the value of a in quadrilateral ABCD.
C
(11x + 140)*
D (13x + 143)
(4x +98)
(11z +135)
A
B
The value of x for the angles of the quadrilateral is: x = -4
How to find the angles in a quadrilateral?We know that the sum of angles in a quadrilateral is 360 degrees.
The angles are given as:
(11x + 140)°
(13x + 143)°
(4x + 98)°
(11x + 135)°
Thus:
(11x + 140)° + (13x + 143)° + (4x + 98)° + (11x + 135)° = 360°
Thus:
39x + 516 = 360
39x = 360 - 516
39x = -156
x = -156/39
x = -4
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what is the range of Dan’s car? It’s highway EPA rating is 40mpg and the tank holds 12 gallons
The range at which Dan's car can go is 3.33 miles
What is range of a car?A car's range is the distance it can travel with the current amount of fuel in the tank.
The vehicle calculates the range based on the amount of fuel, how the accelerator and brakes are used, and how quickly the car is travelling.
The range of a car can be measured in the unit of distance.
Therefore the range of a car can be calculated as;
R = distance per gallon/ number of gallon.
Dan's car is 40mpg and has 12 gallons in it's tank.
Therefore it's range = 40/12
= 3.33miles.
therefore the range of Dan's car is 3.33miles
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the table below shows the summary for weights of 7 people before a diet program and after. the weight lost by each person was also recorded and summarized in the table below. mean standard deviation before 204.71 18.117 after 189.71 18.273 weight loss 15 3.786 find a 95% confidence interval for the true mean weights loss.
The 95% confidence interval for the true mean weight loss is (11.168, 18.832).
To find the 95% confidence interval for the true mean weight loss, we can use the formula:
CI = x(bar) ± t*(s/√n)
where:
x(bar) = sample mean weight loss
s = sample standard deviation of weight loss
n = sample size
t = t-value from the t-distribution table with (n-1) degrees of freedom and a 95% confidence level
Using the values given in the table, we have:
x(bar) = 15
s = 3.786
n = 7
The t-value for a 95% confidence level with 6 degrees of freedom (n-1) is 2.447.
Substituting these values into the formula, we get:
CI = 15 ± 2.447*(3.786/√7)
CI = 15 ± 3.832
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What is the mean of this data set?
Length in cm
22 cm
23 cm
24 cm
25 cm
26 cm
Number of roses
2
4
5
3
1
Answer: 23 1/2
Step-by-step explanation:
you need to include the number of roses in the mean calculation (Ex: 22, 22, 23, 23, 23, 23, etc.)
Austin collected 30 9/10 kilograms of grass for recycling in exactly 2/3 of the class he collectible was the total amount in kilograms of blue grAss
Answer: Let's call the total amount of grass that Austin collected "G" in kilograms. We know that he collected 30 9/10 kilograms, which can be written as a mixed number or an improper fraction:
30 9/10 = 309/10
So, we have:
G = 309/10
We also know that 2/3 of the grass he collected was blue grass. So, let's call the amount of blue grass "B" in kilograms. We can set up an equation based on the information given:
B = (2/3)G
Substituting G = 309/10, we get:
B = (2/3)(309/10)
B = 206/5
B = 41 1/5
Therefore, the total amount of blue grass Austin collected was 41 1/5 kilograms.
Step-by-step explanation:
Can someone please help me ASAP? It’s due today!!
A. Method 1
B. Method 1 and 2
C. Method 2
D. Method 3
Based on the information, we can infer that the most accurate method would be method 3 because it randomly selects the participants without any preference.
What would be the most appropriate method for this survey?The most appropriate method for this survey would be method three (option D) because it will have a group of people who were chosen randomly. This means that people can have different ranges of age, gender, preferences, among others.
This is important because they will represent all the diversity of characteristics of the public, which will allow a study in this population to be more accurate.
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in one day a 20 pound dog eats 3 cups of food. How much would a 50 pound dog eat
6 3/7 + 1 2/5 fraction.
The sum of 6 3/7 and 1 2/5 as a mixed fraction is 7 29/35.
What is the addition of the given fractions?Given the mixed fraction in the question:
6 3/7 + 1 2/5
To add mixed fractions, we first need to convert them into improper fractions.
First, convert 6 3/7 to an improper fraction:
6 3/7 = (6 × 7)/7 + 3/7
= 42/7 + 3/7
= 45/7
Convert 1 2/5 to an improper fraction:
1 2/5 = (1 × 5)/5 + 2/5
= 5/5 + 2/5
= 7/5
Now we can add the fractions:
45/7 + 7/5
(45 × 5)/(7 × 5) + (7 × 7)/(5 × 7)
= 225/35 + 49/35
= 274/35
= 7 29/35.
Therefore, the sum is 274/35 or 7 29/35.
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