Which equation best represents the line of best fit for the scatterplot?a) y = 2.5x + 25 b) y = −2.5x + 20 c) y = −0.05x + 20 d) y = −0.005x + 22.5
Answers
The equation of the line representing that best fit the given scatterplot is given by option d. y = -0.005x + 22.5.
Consider the two points from the attached scatterplot.
Let the coordinates of the two point be ( x₁ , y₁) = ( 1500 , 12.5 )
And other point be ( x₂ , y₂) = ( 2000 , 10 )
Slope of the line 'm' = ( y₂ - y₁ ) / ( x₂ - x₁ )
= ( 10 - 12.5) / ( 2000 - 1500 )
= -2.5 / 500
= -0.005
From the attached scatterplot we have,
y-intercept 'c' where x = 0 is equals to 22.5.
The equation best which represents the line of best fit for the scatterplot is equals to,
y = mx + c
Substitute the value we have,
y = -0.005x + 22.5
Therefore, the equation of the line representing scatterplot is equals to option d. y = -0.005x + 22.5.
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The above question is incomplete, the complete question is:
Which equation best represents the line of best fit for the scatterplot?
a) y = 2.5x + 25 b) y = −2.5x + 20 c) y = −0.05x + 20 d) y = −0.005x + 22.5
Attached scatterplot.
Related Questions
please answer question with explanation
Answers
Answer:
Domain: \(\{x|x\in\mathbb{R}\}\)
Range: \(\{y|y\in\mathbb{R},y\leq -2\}\)
Step-by-step explanation:
The domain is the span of x-values the graph covers.
The range is the span of y-values the graph covers.
The given graph is a quadratic. We can see that the x-values will extend infinitely in both directions.
Thus, the domain is all real numbers.
In set notation, this is:
\(\{x|x\in\mathbb{R}\}\)
From the graph, we can see that the maximum value is y=-2. The graph won't ever go above this.
So, the range is all real numbers less than or equal to -2.
In interval notation, this is:
\(\{y|y\in\mathbb{R},y\leq -2\}\)
And we are done :)
4. Ten less than the product of six and eight less than a number
Answers
Answer: 38
Step-by-step explanation:
6 x 8 = 48
48 - 10 = 38
(-13)2= (15* -11 + -4)
the 2 is an exponent
Answers
Answer:
-26= 15 x -15
Step-by-step explanation:
Sorry the question wasn't really clear??
Answer:
(-13)^2= (15* -11 + -4) = -169
Step-by-step explanation:
Replace all occurrences of + − with a single − . A plus sign followed by a minus sign has the same mathematical meaning as a single minus sign
because1 x −1 = −1
(−13)^2=15 x −11 −4
Raise − 13 to the power of 2 .
169=15 x −11 −4
Multiply 15 by −11.
169 = −165 − 4
and finally Subtract 4 from−165.
169 = −169
if its (-13)^2 / (15*-11+-4) as the orginal post did not say divided, the answer would be -1 hope his helps.
Analyze the graph below to identify the key features of the logarithmic function.
A) The x-intercept is y = 7, and the graph approaches a vertical asymptote at y = 6.
B) The x-intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
C) The x-intercept is y = -7, and the graph approaches a vertical asymptote at y = -6.
D) The x-intercept is x = -7, and the graph approaches a vertical asymptote at x = -6.
Answers
Answer: B
Step-by-step explanation:
When y=0, x=7, so the x-intercept is at x=7.
Eliminate everything except for B.Answer:
b. The x‐intercept is x = 7, and the graph approaches a vertical asymptote at x = 6.
Step-by-step explanation:
I took the test and got it right
a rectangle with height $6$ and length $4$ is wrapped around a cylinder with height $6$. the rectangle perfectly covers the curved surface of the cylinder without overlap. what is the volume of the cylinder?
Answers
The volume of the cylinder is 7.64 units.
If the rectangle and the cylinder has the same height, and it perfectly covers the curved surface of the cylinder without overlap, then the circumference of the base of the cylinder is equal to the length of the rectangle.
length of rectangle = circumference of the base of the cylinder = 4
Solve for the radius of the base of the cylinder using the formula for the circumference of a circle.
C = 2πr
4 = 2πr
r = 0.6366197724
Solve for the volume of the cylinder given that the height is 6 and the radius of the base is 0.6366197724.
V = πr²h
V = π(0.6366197724)²(6)
V = 7.639437268
V = 7.64
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if rectangle a is a 2 by 4 would a 4 by 8 be a scale factor
Answers
The required scale factor for the small rectangle is 8.
Given that,
Rectangle a is a 2 by 4 would a be 4 by 8,
To determine the scale factor,
The scale factor is defined as the ratio of modified change in dimensions to original dimensions
Area of the rectangle = product of dimensions = length * width
Area of the former rectangle = 2 * 4
= 8
Area of the later rectangle = 4 * 8 = 32
Scale factor = area of the later rectangle/area of the former rectangle
= 32 / 8
= 8
Thus, the required scale factor for the small rectangle is 8.
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A psychologist conducts a study and finds that d = -63. This effect size would most likely be described as small medium large an error because d cannot be negative
Answers
d)An error because d cannot be negative.
According to the data, effect sizes such as Cohen's d typically range from 0 to positive values, and negative values do not make sense in this context. Therefore, an effect size of d = -63 is likely an error or a typo.
Assuming that the correct effect size is a positive value, the magnitude of the effect size can be described as follows based on Cohen's convention:
A small effect size is around d = 0.2A medium effect size is around d = 0.5A large effect size is around d = 0.8 or higherHowever, it's important to note that the interpretation of effect sizes also depends on the context and the specific field of study.
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Complete the table values for y=x^2-x
Answers
Answer:
Without a table, we can't really complete one.
This can be easier though if you realise that:
y = x^2 - x
is identical to:
y = x(x - 1)
In other words, the table values are just 1 × 0, 2 × 1, 3 × 2, 4 × 3, etc., giving you the series (starting with x = 1)
0, 2, 6, 12, 20, 30, 42, 56, 72, 90, 110, 132, ...
This If you plot this on a graph, it gives you a parabola that opens upward. It's vertex is at (0.5, -0.25)
100 points
I need full explanation.
Answers
Answer:
length=18units, width=6 units
Step-by-step explanation:
let width=x
then length= 3x
perimeter=2l+2b
48=2(3x)+2x
x=6
width=x=6units
length=3x=3(6)=18units
Now
2(L+B)=Perimeter2(x+3x)=482(4x)=484x=24x=6Length=3(6)=18
A pyramid has a base area of 28 cm² and a height of 24.9 cm. what is the volume of the pyramid? enter your answer as a decimal in the box. cm³
Answers
The pyramid has a 235.2 cm³ capacity. The symbol for capacity is cm3, which stands for cubic centimetres.
The formula for the volume of a pyramid is:
Volume = (1/3) x Base Area x Height
In this case, the base area of the pyramid is given as 28 cm² and the height is given as 24.9 cm. We can substitute these values into the formula to calculate the volume:
Volume = (1/3) x 28 cm² x 24.9 cm
Volume = 235.2 cm³
Therefore, the volume of the pyramid is 235.2 cm³. The unit of volume is cubic centimeters, which is represented as cm³. We can round off the answer to one decimal place and express it as 235.2 cm³.
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1. What are the 3 conditions for a function to be continuous at xa? 2. the below. Discuss the continuity of function defined by graph 3. Does the functionf(x) = { ***
Answers
The three conditions for a function to be continuous at a point x=a are:
a) The function is defined at x=a.
b) The limit of the function as x approaches a exists.
c) The limit of the function as x approaches a is equal to the value of the function at x=a.
The continuity of a function can be analyzed by observing its graph. However, as the graph is not provided, a specific discussion about its continuity cannot be made without further information. It is necessary to examine the behavior of the function around the point in question and determine if the three conditions for continuity are satisfied.
The function f(x) = { *** is not defined in the question. In order to discuss its continuity, the function needs to be provided or described. Without the specific form of the function, it is impossible to analyze its continuity. Different functions can exhibit different behaviors with respect to continuity, so additional information is required to determine whether or not the function is continuous at a particular point or interval.
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A box contains 9 balls written B,E,R,N,H,E,A,R,T. Two balls are drawn at random without replacement. what is the probability of getting both balls written with R ?
Answers
Answer:
How many balls have “R” written on them initially? We can see this is 2.
How many balls are there initially? This is 9.
As a result, the probability of initially drawing a ball with an R on it is 2/9, as out of the 9 possible draws we could make, 2 of them result in a ball with R on it.
How many balls have “R” written on them now? We can see this is 1, since we just drew one ball with R on it and didn’t replace.
How many balls are there in total right now? This is 8, because we took away one.
As a result, the probability of drawing a ball with an R on it after having already done so is 1/8, as out of the 8 possible draws we could make, 1 results in a ball with R on it.
We then multiply these two values (2/9)*(1/8) = 2/72, which is our probability.
Another way to think about this is that there are 72 possible combinations of balls that we could draw, counting each ball uniquely. This is because of our denominator, since 8*9=72. Out of those 72 outcomes that could possibly happen, 2 outcomes will result in both balls being written with R.
Step-by-step explanation:
please help with this..........
Answers
Solve for x
Enter the solutions from least to greatest.
(3x – 6)(-x + 3) = 0
lesser x =
greater x =
Answers
Consider the following competing hypotheses:
H0: rhoxy ≥ 0
HA: rhoxy < 0
The sample consists of 32 observations and the sample correlation coefficient is –0.68. [You may find it useful to reference the t table.]
a. Calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 3 decimal places.)
a-2. Find the p-value b. At the 10% significance level, what is the conclusion to the test?
Answers
The test statistic for the given hypothesis test is calculated to be -4.842. The p-value is found to be less than 0.001. At the 10% significance level, we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the population correlation coefficient (rhoxy) is less than 0.
To calculate the test statistic, we can use the formula:
t = (r - ρ) / (sqrt((1 - \(r^2\)) / (n - 2)))
where r is the sample correlation coefficient, ρ is the population correlation coefficient under the null hypothesis, and n is the sample size. Plugging in the values, we get:
t = (-0.68 - 0) / (sqrt((1 - \((-0.68)^2\)) / (32 - 2)))
= -0.68 / (sqrt((1 - 0.4624) / 30))
≈ -4.842
Next, we need to find the p-value associated with this test statistic. Since the alternative hypothesis is one-tailed (rhoxy < 0), we need to find the area to the left of -4.842 in the t-distribution with (n - 2) degrees of freedom. Consulting the t-table or using statistical software, we find that the p-value is less than 0.001.
At the 10% significance level (α = 0.10), if the p-value is less than α, we reject the null hypothesis. In this case, since the p-value is less than 0.10, we reject H0. Therefore, we conclude that there is sufficient evidence to support the alternative hypothesis (HA) that the population correlation coefficient (rhoxy) is less than 0.
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Russel has a biased coin for the which the probability of getting tails is an unknown p. He decide to flip the coin n and writes the total number of times X he gets tails. How large should n be in order to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n ? What if he wants 0.99 certainty?
Answers
n should be a whole number, we round up to the nearest integer, giving n = 540. Therefore, if Russel wants 0.99 certainty, n should be at least 540.
To determine how large n should be in order to have a certain level of certainty about the true probability p, we can use the concept of confidence intervals.
For a binomial distribution, the estimate of the probability p is X/n, where X is the number of successes (in this case, the number of times tails is obtained) and n is the number of trials (the number of times the coin is flipped).
To find the confidence interval, we need to consider the standard error of the estimate. For a binomial distribution, the standard error is given by:
SE = sqrt(p(1-p)/n)
Since p is unknown, we can use a conservative estimate by assuming p = 0.5, which gives us the maximum standard error. So, SE = sqrt(0.5(1-0.5)/n) = sqrt(0.25/n) = 0.5/sqrt(n).
To ensure that the true p is within 0.1 of the estimate X/n with at least 0.95 certainty, we can set up the following inequality:
|p - X/n| ≤ 0.1
This inequality represents the desired margin of error. Rearranging the inequality, we have:
-0.1 ≤ p - X/n ≤ 0.1
Since p is unknown, we can replace it with X/n to get:
-0.1 ≤ X/n - X/n ≤ 0.1
Simplifying, we have:
-0.1 ≤ 0 ≤ 0.1
Since 0 is within the range [-0.1, 0.1], we can say that the estimate X/n with a margin of error of 0.1 includes the true probability p with at least 0.95 certainty.
To find the value of n, we can set the margin of error equal to the standard error and solve for n:
0.1 = 0.5/sqrt(n)
Squaring both sides and rearranging, we get:
n = (0.5/0.1)^2 = 25
Therefore, n should be at least 25 to know with at least 0.95 certainty that the true p is within 0.1 of the estimate X/n.
If Russel wants 0.99 certainty, we need to find the value of n such that the margin of error is within 0.1:
0.1 = 2.33/sqrt(n)
Squaring both sides and rearranging, we get:
n = (2.33/0.1)^2 = 539.99
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Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes. Henrik already had 173 potatoes harvested from his other field. How many potatoes does Henrik have in all?
Answers
Answer:
Step-by-step explanation:
Analysis
Answer:
49 x 3 = 147
147 + 173 = 320
Step-by-step explanation:
Step 1 Henrik grew 3 times as many potatoes as Derek grew. Derek managed to grow 49 potatoes.
49 x 3 = 147
Step 2 Henrik already had 173 potatoes harvested from his other field.
173 + 147
PLS ANSWER QUICK
A recipe for a batch of muffins calls for 1/3 cup of sugar, 3/4 cup of flour, and 1/2 cup of milk. How many total cups of sugar, flour, and milk will be needed for three batches of muffins?
NO LINKS I WILL REPORT
Answers
Answer:
1 cup of sugar, 2 1/4 cups of flour, and 1 1/2 cups of milk
Step-by-step explanation:
1/3 x 3= 3/3 =1
3/4 x 3= 2 1/4
1/2 x 3= 1 1/2
These all add up to 4 3/4 cups
a faulty watch gains 10 seconds an hour if it is correctly set to 8 p.m. one evening what time will it show when the correct time is 8 p.m. the following evening
Answers
The watch gains 4 min till 8:00 PM in the next evening and show 8:04 pm the next evening.
What does it gain?Considering that,
A broken watch adds ten seconds per hour.
Find the number of hours between 8:00 PM this evening and 8:00 PM the following evening.
There are 24 hours in a day.
number of seconds the defective watch gained.
1 hour equals 10 seconds
24 hours ÷ by 10
24 * 10 is 240 seconds.
Now figure out how many minutes your defective watch has gained.
60 s = 1 minute
240 sec = 240/60
= 4 min
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Missing parts;
A faulty watch gains 10 seconds an hour. If it is set correctly at 8:00 pm one evening, what time will it show when the correct time is 8:00 pm the following evening
After being observed many times, Beverly Demarr, a hospital lab analyst, had an average observed time for blood tests of 12 minutes. Beverly's performance rating is 105%. The hospital has a personal, fatigue, and delay allowance of 16%. of a) Find the normal time for this process. b) Find the standard time for this blood test
Answers
The normal time for the blood test process performed by Beverly Demarr, a hospital lab analyst, is calculated to be 13.92 minutes. The standard time for the blood test is determined to be 14.04 minutes.
a) The normal time for a process is the time it should ideally take to complete the task under standard conditions, without any personal, fatigue, or delay factors. To calculate the normal time, we need to divide the average observed time by the performance rating. In this case, Beverly's average observed time for blood tests is 12 minutes, and her performance rating is 105%. Therefore, the normal time for the process is calculated as follows:
Normal Time = Average Observed Time / Performance Rating
Normal Time = 12 minutes / 105%
Normal Time ≈ 11.43 minutes
b) The standard time for a process includes not only the normal time but also the allowances for personal, fatigue, and delay factors. The total allowance is 16% of the normal time. To calculate the standard time, we add the total allowance to the normal time. Using the calculated normal time of 11.43 minutes, we can determine the standard time as follows:
Total Allowance = Normal Time× Allowance Percentage
Total Allowance = 11.43 minutes × 16%
Total Allowance ≈ 1.83 minutes
Standard Time = Normal Time + Total Allowance
Standard Time = 11.43 minutes + 1.83 minutes
Standard Time ≈ 13.92 minutes
Therefore, the normal time for the blood test process performed by Beverly Demarr is approximately 13.92 minutes, and the standard time for the blood test is approximately 14.04 minutes.
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18 = 5p + 3 NEED HELP ASAP
Answers
Answer:
\(p=3\)
Step-by-step explanation:
\(5p+3=18\\5p=15\\p=3\)
Hope this helps plz hit the crown :D
Answer:
Are you solving for p , because if you are p = 3
Step-by-step explanation:
18 = 5p + 3
Subtract 3 from both sides
15 = 5p
Divide by 5 in both sides
p = 3
A 1500 pound car is stopped in traffic on a hill that is at an incline of 10°. determine the force that is required to keep the car from rolling down the hill.
Answers
Answer: about 260 Lb
Step-by-step explanation:
PLEASE HELP ME!!!!!! THIS IS DUE ON FRIDAY!!!!!! (There is another part)
Answers
Answer:
it's c trust me I had the same problem
I have 8 edges.
Four of my faces are
triangles.
I am a solid figure.
What is the answer to this question?
Answers
The solid figure that has 8 edges and four triangular faces is a pyramid.
Find 160% of 90 ??????
Answers
Answer:144
Step-by-step explanation:
Answer:
the answer is 144
160/100×90=144
What should be added to -5/4 to get -1?
a. -1/4
b. 1/4
c. 1
d. -3/4
solve the question with explanation and steps
Answers
Answer:
1/4
Step-by-step explanation:
Take unknown number as x
-5/4+x=-1
x=-1+5/4
x=1/4
the other dude explained it
PLS HELP!!
What is the distance between C(2, 1) and D(5, 5)?
Answers
Answer:
3,4
Step-by-step explanation:
5,5
- 2,1
======
3,4
Answer:
3,4
Step-by-step explanation:
you take 5,5 and subtract 2,1
A loaf of bread costs 3.00 dollars today. The same size loaf cost 20 cents in 1955. what percentage of todays price did someone in 1955 pay for bread?
Answers
Answer:
6.666 percent recurring can be rounded to 6.67
Step-by-step explanation:
given that 2p-q = r + s then q=
Answers
Answer:
q = 2p - r - s
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2p - q = r + s
Step 2: Solve for q
[Subtraction Property of Equality] Subtract 2p on both sides: -q = r + s - 2p[Division Property of Equality] Divide negative on both sides: q = -(r + s - 2p)[Distributive Property] Distribute negative: q = 2p - r - sHello, I really truly need help please, PLZ! Thanks!
(5 screenshots included)
Answers
Answer:
1. Second Choice
2. Positive
3. Line B
4. Line D
5. Horizontal
Step-by-step explanation:
First ScreenshotThe y-intercept is the value of b —
\(y = mx + b\)
where m = slope and b = y-intercept.
Looking from the graph, the graph passes y-axis at (0,1) which is y-intercept.
Basically (0,a) is y-intercept.
Thus, our y-intercept is (0,1)
Second ScreenshotThe slope is positive. If the slope is negative, it would face opposite.
For zero slope, the graph will become a horizontal line.
An undefined slope is the vertical line graph.
Third ScreenshotLine B has zero slope. As said, the zero slope will turn the graph into a horizontal line.
Fourth ScreenshotLine D has an undefined slope. Read Third Screenshot.
As said, an undefined slope is the vertical line.
Fifth Screenshot\(y = - 3\)
This is called Constant Function where the graph is a horizontal line. For a vertical line, it must be x = a (where a is constant)
FYI,
y = a — horizontal
x = a — vertical