Question 9 of 13Given the line of best fit for a set of data points with the equation y = 5x - 2.5,what is the residual for the point (3, 6)?A. -6.5SUBMITOB. -6C. 6.5OD. 6
Answers
Given,
The line of best fit for a set of data points with the equation
\(y=5x-2.5\)To find: What is the residual for the point (3, 6)?
Solution:
The residual is the difference between the predicted value and the real value. Using the equation, we find the value of y using the given value of x.
\(\begin{gathered} y=-2.5+5x \\ y=-2.5+(5\times3) \\ y=-2.5+15 \\ y=12.5 \end{gathered}\)The difference between this value and the given value of y is 12.5 - 6 = 6.5
Thus, the residual is equal to 6.5
Related Questions
Find the acute angle between the two hands of a clock at 5.20 a.m.
Answers
Answer:
22
Step-by-step explanation:
40 degrees
Step-by-step explanation:
hour hand = 5 and 1/3 hours
minute hand = 20 minutes = 4 hours on the clock
the different = 1 and 1/3 hours
each hour = 360 / 12 = 30 degrees
therefore the answer = 4/3 x 30 = 40 degrees
What is the answer 3 1/4 + 2 1/8 +2 7/8+1 3/4+1 3/4 +? Show the work
Answers
The value of the fractions is 10
What is a fraction?
A fraction is described as the part of a whole.
The different types of fractions are;
Mixed fractionsProper fractionsImproper fractionsSimple fractionsComplex fractionsGiven the fractions;
3 1/4 + 2 1/8 +2 7/8+1 3/4
convert to improper fractions, we have;
13/4 + 17/8 + 23/8 + 7/4
Find the LCM
26 + 17 + 23 + 14 /8
Find the values
80/8
divide the values
10
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6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.
Answers
Answer: 1,152 notebooks
Step-by-step explanation:
You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)
How to simplify 9t-3t=
Answers
Answer:
6t
Step-by-step explanation:
9-3 = 6
you had eight hours until you have to be on set if you will spend 3/4 of an hour driving to the TV station how much time does that leave you to get everything ready
Answers
Answer:
7 hours and 15 minutes
Step-by-step explanation:
8 - 3/4 = 7 1/4 hours
A movie theater can seat a maximum of 25 people. Let p represent the total number of people. Which inequality represents p, the number of people the theater can seat?
Answers
The inequality that represents p, the number of people the theater can seat is p ≤ 25
Which inequality represents p, the number of people the theater can seat?From the question, we have the following parameters that can be used in our computation:
A movie theater can seat a maximum of 25 people
This means that
Maximum = 25 people
In other words, the movie theatre can allow 25 or less people to attend a movie
In inequality, 25 or less means less than or equal to 25
When represented as an inequality expression, we have
≤ 25
Using the variable p, we have
p ≤ 25
Hence, the inequality is p ≤ 25
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Solve each of the following equations for the missing variable.
-2.5x – 10 = 40
O x = 20
O x= -20
O 50
-50
Answers
x = - 20.
Answer:
x = -20
Step-by-step explanation:
\( - 2.5x - 10 = 40\)
Collect like terms and simplify
\( - 2.5x = 40 + 10 \\ - 2.5x = 50\)
Divide both sides of the equation by -2.5
\( \frac{ - 2.5x}{ - 2.5} = \frac{50}{ - 2.5} \)
Simplify
\(x = - 20\)
The height of Tower A is 690 feet more than Tower B. The two towers have a combined height of 1,384 feet. What are the heights of each tower?
Tower B is feet tall
(Simplify your answer. Type an integer or a decimal)
Tower A is feet tall
(Simplify your answer. Type an integer or a decimal.
Answers
Step-by-step explanation:
A = 690ft + B
A + B = 1.384ft
(690ft + B) + B = 1.384ft
2B = 1.384ft - 690ft
2B = 694ft
B = 694ft ÷ 2
B = 347ft
A = 690ft + B
A = 690ft + 347ft
A = 1.037ft
Tower A → 1.037 feet
Tower B → 347feet
helpppppppppppppppppppppppppppppppppppppp
Answers
Answer:
the last one
Step-by-step explanation:
there is no rhythm
which of the following is an exponential function y=x^1/2 y=2x^3 y=3^x
Answers
Answer:
(c) y = 3^x
Step-by-step explanation:
A function is described as exponential if the independent variable is found in the exponent.
Choicesy = x^(1/2) . . . a square root function, not exponential
y = 2x^3 . . . . a cubic (polynomial) function, not exponential
y = 3^x . . . . . an exponential function
HELP ASAP!! WILL MARK BRAINLIEST!
Question 8 Multiple Choice Worth 5 points)
(03.04 MC)
Solve for x:
(-4/3) x -6 = 26
Answers
Answer:
X = -24
Step-by-step explanation:
Using the inverse:
26 + 6 = 32
x = 32 / (-4/3) = -24
If cosθ=3√2cosθ=32 then which of the following could be true?tan=−3√tangent is equal to negative square root of 3cscθ=12cosecant theta is equal to 1 halfsecθ=−2secant theta is equal to negative 2sinθ=2√2sine theta is equal to the fraction with numerator square root of 2 and denominator 2
Answers
Given that
\(\cos\theta=\frac{\sqrt{3}}{2}\)we can determinate the sine of this angle using the following identity
\(\sin^2\theta+\cos^2\theta=1\)If we substitute the value of the cosine on this identity, we're going to have:
\(\begin{gathered} \sin^2\theta+(\frac{\sqrt{3}}{2})^2=1 \\ \sin^2\theta+\frac{3}{4}=1 \\ \sin^2\theta=\frac{1}{4} \\ \sin\theta=\pm\frac{1}{2} \end{gathered}\)The definitions of secant, tangent, and cosecant in terms of the sine and cosine are given by:
\(\begin{gathered} \tan\theta=\frac{\sin\theta}{\cos\theta} \\ \sec\theta=\frac{1}{\cos\theta} \\ \csc\theta=\frac{1}{\sin\theta} \end{gathered}\)Using the known values for the sine and cosine functions on those definitions, we have:
\(\begin{gathered} \tan\theta=\frac{\pm\frac{1}{2}}{\frac{\sqrt{3}}{2}}=\pm\frac{1}{\sqrt{3}}=\pm\frac{\sqrt{3}}{3}\ne-\sqrt{3} \\ \\ \csc\theta=\frac{1}{\pm\frac{1}{2}}=\pm2\ne\frac{1}{2} \\ \\ \sec\theta=\frac{1}{\frac{\sqrt{3}}{2}}=\frac{2}{\sqrt{3}}=\frac{2\sqrt{3}}{3}\ne-2 \\ \\ \sin\theta=\pm\frac{1}{2}\ne\frac{\sqrt{2}}{2} \end{gathered}\)All options are false.
Jose starts with $250 and spends $25 a week. Martin starts with $30 and saves $30 a week. When do Jose and Martin have the
same amount of money? Use for time and for saving.
Answers
Answer:
250-25=225 week 1
200=week 2
175= week 3
150= week 4
Martin
60= week 1
90= week 2
120=week 3
150= week 4
Step-by-step explanation:
In a newspaper, it was reported that the number of yearly robberies in Springfield in
2011 was 64, and then went down by 50% in 2012. How many robberies were there in
Springfield in 2012?
HELP
Answers
Answer:
32 robberies
Step-by-step explanation:
To find the amount here, divide 64 by 2 (or multiply by 1/2).
64 / 2
How many times does 2 go into 6? (3)
3-
4 / 2
How many times does 2 go into 4? (2)
32 robberies
Hi can someone who is great at math please help me with these math questions. I'm struggling with them!!
Answers
The value of x will be 18.67 for the given data of the triangle.
We have,
Thale's theorem:
When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.
Given that the sides of the triangle are divided into two parts,
For the left part the parts will be x and x + 7 for the right side the parts will be 16 and 22.
The ratio will be the same according to Thale's theorem. The value of x will be calculated as:-
x / ( x + 7 ) = 16 / 22
22x = 16x + 112
6x = 112
x = 112 / 6
x = 18.67
Therefore, the value of x will be 18.67.
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complete question;
Find the values of x and y. Find value of x.
Solve the equation by completing the square. Round to the nearest hundredth x^2 + 2x = 15
Answers
Answer:
x = 3, x = -5
Step-by-step explanation:
A perfect square trinomial is represented in the form a^2 + 2ab + b^2. We are already given the a^2 term, x^2, and the 2ab term, 2x. From this we can say:
a^2 = x^2
a = x
Now, we can substitute x for a in the other expression to create the equation:
2ab = 2x
2(x)b=2x
b = 1
From this, b^2 is one, so, to get our trinomial all on one side, we add 1 to both sides:
x^2 + 2x = 15
x^2 + 2x + 1 = 16
Now, we can factor. The perfect square trinomial factors into (a + b)^2. In this case, a is x, and b is one. We can factor and get:
(x + 1)^2 = 16
Now, we take the square root of both sides:
x + 1 = ± 4
We can separate this into two equations and solve:
x + 1 = 4
x = 3
x + 1 = -4
x = -5
Answer:
Step-by-step explanation:
x^2 + 2x = 15
x^2 + 2x + [1/2(2)]^2 = 15 + [1/2(2)]^2
(x + 1/2(2) )^2 = 15 + [(1/2)(2)]^2
(x + 1)^2 = 15 + 1^2
(x + 1)^2 = 15 + 1
(x+1)^2 = 16 Take the square root of both sides.
sqrt( (x + 1)^2 ) = sqrt(16)
x + 1 = +/- 4
x + 1 = 4
x = 4 - 1 = 3
x + 1 = -4
x = -4 - 1
x = - 5
So the roots are 3 and - 5
A ski club is going to elect officers for the coming year. They wish to fill the 4 offices of president, vice president, treasurer, and secretary. No person can hold more than one of the positions andeach office is filled in order.4. How many different ways can they select its officers if the club consists of 20 members?
Answers
There are 116,280 different ways that the club can select its officers
Here, we have 20 members of which we want to select 4 officers
From the question, without any issue, we are selecting 4 from 20
The condition here is that nobody can hold more than a single position
For the office of the president;
The 20 members can vie for it, so we have 20 choices to select from
For the office of the vice president;
We have 19 members left (1 is already selected as president); so we have 19 choices to select from
For the office of the treasurer;
We have only 18 choices left (2 positions are filled already)
For the position of the secretary;
We have 17 choices to pick from (3 positions are filled already)
The total number of ways we can make selection is thus;
\(20\times19\times18\times17\text{ = 116,280 ways}\)The following dotplot shows the centuries during which the 11 castles whose ruins remain in Somerset, England were constructed. Each dot represents a different castle.
According to the 1.5.IQR rule for outliers, how many high outliers are there in the data set?
Choose 1 answer:
Answers
Taking into account the rule 1.5 IQR, there aren't high outliers in the displayed data set.
Calculation of the Interquartile Range and the rule 1.5 IQR.
To calculate the Interquartile Range IQR, you must subtract the value of the first quartile Q1, to the third quartile Q3, as you can see in the formula below:
IQR = Q3 - Q1Using the five-number summary, you can replace the formula:
IQR = 17 - 13IQR = 4Before to apply the rule 1.5 IQR, you must multiply the IQR by 1.5:
4 * 1.5 = 6Now, to apply the rule you must add the value obtained (6), to the third quartile (17), if any data is over this, theoretically it's an outlier:
17 + 6 = 23 (As you do not have any data over this value, it is identified that there are no outliers in the upper section).Finally, you must subtract the value obtained (6) to the first quartile (13), if any data is under this, theoretically it's an outlier:
13 - 6 = 7 (Since you don't have any castle data built before this century, there wouldn't be any theoretically outliers either).By this reason, using the rule of 1.5 IQR, you can see there aren't outliers in the displayed data set.
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Answer:
The answer is 0
Step-by-step explanation:
It said it was right on khan!
which of the following conditions is characteristic of a monopolistically competitive firm in both the short run and the long run? a. p > mc b. p < mr c. p
Answers
In both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc).
A monopolistically competitive firm is characterized by several conditions, both in the short run and the long run. In the short run, a monopolistically competitive firm will have a market price that is greater than its marginal cost (p > mc).
In the long run, a monopolistically competitive firm will have a market price that is equal to its marginal cost (p = mc). This is because, in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
In conclusion, in both the short run and the long run, the characteristic of a monopolistically competitive firm is that the market price will be equal to its marginal cost (p = mc). This is because in the short run, the firm has some market power and can charge a higher price, and in the long run, the firm faces increased competition and has to set its price at the level where its marginal cost equals its price.
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Olivia walks up to a tank of water that can hold up to 50 gallons. When it is active, a drain empties water form the tank at a constant rate. When Olivia first sees the tank, it contains 38 gallons of water. Four minutes later, the tank contains 18 gallons of water.
a.) At what rate is the amount of water in the tank changing? Use a signed number and include the unit of measurement in your answer.
b.) How many more minutes will it take for the tank to drain completely?
c.) How many minutes before Olivia arrived was the water tank completely full?
Answers
Answer:
C
Step-by-step explanation:
I got the answer C because if the estimated value of the tank is 50 and it gets drained it will only have 18 gallon in it
5%
3.36m inutos
2.24mi nutos
UR = 2y2 + 5
SE = y2 + 6y
Find the value(s) of y. Type in the lowest value first
Answers
Answer:
UR
2y2+5
2.2y+5
4y+5
SE
y2+6y
2y+6y
8y
Kimberly wants to buy a new pair of jeans. If the jeans were originally $48.00, but are on sale with a 20% discount, how much will Kimberly have to pay for the jeans?
Answers
Answer:
38.40
Step-by-step explanation:
48x .20=9.6
48-9.6=38.4
The amount of the money that Kimberly has to pay for the jeans will be $38.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
Kimberly wants to buy a new pair of jeans.
If the jeans were originally $48.00, but are on sale with a 20% discount.
Then the amount of the money that Kimberly has to pay for the jeans will be
⇒ $48 (1 – 0.20)
⇒ $48 x 0.80
⇒ $38.4
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Which of the following shows the first step in determining if (-2,5) is a solution to the equation 3x+y=1
Answers
Answer:
its c
Step-by-step explanation:
List all segments that could represent a corresponding height if the side n is the
base.
m
Answers
Answer:
g,h,m
Step-by-step explanation:
All three of these line segments are perpendicular on n (which acts as the base).
Therefore , g,h,m are corresponding heights
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours. Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours. You want to test the hypothesis that women who exercise daily have a different duration of labor than all women. Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is s M
Answers
Answer:
The estimated standard error is \(s_M = 1.065\).
The t statistic is \(t = 0.845\).
Step-by-step explanation:
The test statistic is:
\(t = \frac{X - \mu}{s_M}\)
In which X is the sample mean, \(\mu\) is the value tested at the null hypothesis, \(s_M = \frac{s}{\sqrt{n}}\) is the standard error, s is the standard deviation and n is the size of the sample.
The average duration of labor from the first contraction to the birth of the baby in women over 35 who have not previously given birth and who did not use any pharmaceuticals is 16 hours.
This means that \(\mu = 16\)
Suppose you have a sample of 35 women who exercise daily, and who have an average duration of labor of 16.9 hours and a sample variance of 39.7 hours.
This means that \(n = 35, X = 16.9, s = \sqrt{39.7} = 6.30\)
The estimated standard error is:
\(s_M = \frac{s}{\sqrt{n}} = \frac{6.30}{\sqrt{35}} = 1.065\)
The estimated standard error is \(s_M = 1.065\).
Calculate the t statistic.
\(t = \frac{X - \mu}{s_M}\)
\(t = \frac{16.9 - 16}{1.065}\)
\(t = 0.845\)
The t statistic is \(t = 0.845\)
What is the slope of the line on the graph?
Enter your answer in the box.
Answers
Answer:
-2/6
Step-by-step explanation:
Slope is the m in y = mx + b, while b is y-intercept.
Just by looking at it, you can see that the line has a negative slope becasue it's going downwards and to the right. You can also tell that the slope is in fact -2/6 because it goes downwards⬇ 2 units and to the right ➡ 6 units.
Remember rise/run, where rise is looking at the y-axis or vertical and run is the x-axis or horizontal.
Hope this helps :)
The rate of change for yyy as a function of xxx is
, therefore the function is
.
For all values of xxx, the function value y\:yy
\:000.
The yyy-intercept of the graph is the function value y=\:y=y, equals
.
When x=1x=1x, equals, 1, the function value y=\:y=y, equals
.
Answers
everything seems to be correctly filled.
if you wanted confidence by confirmation: here, take some
It is an exponentially decaying function.
What is an exponential function ?An exponential function is where the independent variable is in the exponent. Generally the the independent variable is in the power of a constant term e.
Exponential functions are of two types one is exponentially growing function and exponentially decaying function.
when the we have a positive exponent the function is exponentially growing and when we have a negative exponent the function is exponentially decaying.
In the given question f(x) = 8e⁻ˣ
when, x = 0 f(x) = 8
f(x) = 8e⁻ˣ
f(0) = 8e⁰
f(0) = 8
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PLEASE HELP ME ON THIS
Answers
Answer: 1. X = 24
2. X = 20
Step-by-step explanation:
3
x
−2=6
Multiply both sides of the equation by 3.
x−6=18
Add 6 to both sides.
x=18+6
Add 18 and 6 to get 24.
x=24
_______________________________________________________
5
x
+1=5
Multiply both sides of the equation by 5.
x+5=25
Subtract 5 from both sides.
x=25−5
Subtract 5 from 25 to get 20.
x=20
Out of a class of 30 students, 24 were in class on Thursday. What percent were in class
on Thursday?
Answers
Answer:
24/30 = 0.8
0.8x100 = 80
Answer = 80%
=80% of students were in class on Thursday
An audio cable is 14.1 dm long. How long is the cable in meters?
Answers
Answer: 1.41 meters
Step-by-step explanation:
14.1 decimeters to meters
Decimeters are 10 times smaller than meters, so you divide the value by 10 to get meters
14.1/10 = 1.41
1.41 meters