Divide miles driven by time and compare them.
Deena: 585 /9 = 65 miles per hour
Kristen: 605 /11 = 55 miles per hour
Deena drove at a faster rate because 65 is greater than 55.
What is the value of x?
Enter your answer in the box.
x =
Answer:
It's answer is 8
Step-by-step explanation:
hypotenuse (h) = 10
base (b) = 6
perpendicular (p) = x = ?
We know by using Pythagoras theorem
p = √ h² - b²
= √ 10² - 6²
= √ 100 - 36
= √ 64
x = 8
Hope it will help : ) ❤
BIG DATA AND MACHINE LEARNING Economics, ASAP = upvote. Homework question. We are running a regression with 19 input variables. How many possible regression models would result were we to choose a model including a subset of those input variables?
We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.
If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.
To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.
The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.
It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.
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The table below gives the drainage area, average precipitation (determined from measurements at meteorological stations), and average streamflow (measured near the mouths) of four major rivers. [10 points] (i) Using water balance equation and assuming no ground-water inputs or outputs, use this information to compute the estimated long-term average evapotranspiration, ET (mm/yr), for each watershed. (ii) How well do your calculated ET values conform to those shown for the same watersheds on the figure below? The figure shows global distribution of average oceanic evaporation and continental transpiration ( cm/ year) from Peixoto and Oort (1992). Please note that the contour interval on figure is 200 or 400 mm/yr, so only coarse comparisons can be made.
(i) Equation for estimated long-term average evapotranspiration is ET = P - Q. (ii) The calculated ET values can be compared to the global distribution of average oceanic evaporation and continental transpiration shown on the figure.
(i) To compute the estimated long-term average evapotranspiration (ET) for each watershed, we can use the water balance equation. The equation is as follows:
Precipitation (P) = Streamflow (Q) + Evapotranspiration (ET)
Assuming no groundwater inputs or outputs, we can rearrange the equation to solve for ET:
ET = P - Q
By subtracting the average streamflow (Q) from the average precipitation (P) for each watershed, we can obtain the estimated long-term average evapotranspiration (ET) in millimeters per year (mm/yr).
(ii) The calculated ET values can be compared to the global distribution of average oceanic evaporation and continental transpiration shown on the figure. While the figure provides a coarse comparison due to its contour interval of 200 or 400 mm/yr, it can still give an indication of how well the calculated ET values conform to the values shown.
To assess the conformity, we can compare the calculated ET values for each watershed with the values shown on the figure within the same range. If the calculated ET values fall within the contour intervals or are close to the values depicted on the figure, it suggests a reasonable conformity. However, if the calculated ET values significantly deviate from the values shown, it indicates a disparity between the estimated and observed evapotranspiration patterns.
It's important to note that the figure provides a global representation, and the calculated ET values are specific to the four major rivers considered in the table. Therefore, a coarse comparison is expected, and finer-scale analysis may be required to make more accurate assessments of conformity between the calculated ET values and those shown on the figure.
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a husband and wife, mike and lori, share a digital music player that has a feature that randomly selects which song to play. a total of 2,384 songs were loaded onto the player, some by mike and the rest by lori. suppose that when the player was in the random-selection mode, 13 of the first 50 songs selected were songs loaded by lori. construct and interpret a 90 percent confidence interval for the proportion of songs on the player that were loaded by lori. mike and lori are unsure about whether the player samples the songs with replacement or without replacement when the player is in random-selection mode. explain why this distinction is not important for the construction of the interval in part (a) Construct and interpret a 90 percent confidence interval for the proportion of songs on the player that were loaded by Lori. Use 4-step process.
We can conclude that there is evidence to suggest that the proportion of songs on the player that were loaded by Lori is greater than 0. We are 90% confident that the true proportion is between 0.137 and 0.383.
To construct a confidence interval for the proportion of songs on the player that were loaded by Lori, we can use the following 4-step process:
Step 1: Verify Conditions
We need to verify the following conditions:
Randomization: The songs are selected randomly, and the sample is representative of the population.
Independence: The 50 songs selected are independent of each other.
Sample size: The sample size is less than 10% of the population size, so we can assume that the sampling distribution of the proportion is approximately normal.
Success-Failure Condition: Both np and n(1-p) are greater than 10, where n is the sample size and p is the proportion of songs on the player that were loaded by Lori.
Step 2: Construct the Confidence Interval
We can use the formula for a confidence interval for a proportion:
p' ± z* √(p'(1-p')/n)
where p' is the sample proportion, z* is the critical value from the standard normal distribution for the desired confidence level, and n is the sample size.
We are given that 13 out of 50 songs selected were loaded by Lori, so the sample proportion is p' = 13/50 = 0.26. We want a 90% confidence interval, so the critical value from the standard normal distribution is z* = 1.645 (from a table or calculator). The sample size is n = 50.
Plugging in the values, we get:
0.26 ± 1.645 √((0.26)(1-0.26)/50)
= 0.26 ± 0.123
= (0.137, 0.383)
So the 90% confidence interval for the proportion of songs on the player that were loaded by Lori is (0.137, 0.383). We can interpret this as: We are 90% confident that the true proportion of songs on the player that were loaded by Lori is between 0.137 and 0.383.
Step 3: Interpret the Confidence Interval
We can interpret the confidence interval as above.
Step 4: Check Assumptions and Interpret Results
We verified the necessary assumptions in Step 1. From the confidence interval, we can conclude that there is evidence to suggest that the proportion of songs on the player that were loaded by Lori is greater than 0. We are 90% confident that the true proportion is between 0.137 and 0.383.
Regarding the sampling method (with or without replacement), it is not important for the construction of the interval because the sample size is small relative to the population size.
In general, if the sample size is less than 10% of the population size, we can assume that the sampling distribution of the proportion is approximately normal regardless of whether the sampling is done with or without replacement.
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5. Over what interval is the following graph DECREASING? *
Answer:
(3, 13)
Step-by-step explanation:
The curve decreases from x = 3 to x = 13.
Answer: (3, 13)
Practice: An object is launched into the air with an initial velocity of 48ft/sec. from the topof a building 288 ft high. The height h(t) of the object after t seconds is given by h(t) =-16t2 + 48t + 288.
R)
Given the function of the height of the object, we can obtain its maximum by using its derivative, as shown below.
\(\begin{gathered} h^{\prime}(t)=0\to\text{critical point} \\ h^{\prime}(t)=-32t+48 \\ \Rightarrow h^{\prime}(t)=0 \\ \Rightarrow-32t+48=0 \\ \Rightarrow t=\frac{48}{32}=\frac{3}{2} \end{gathered}\)Then, the object will reach its maximum height at t=3/2, which is
\(h(\frac{3}{2})=-16(\frac{3}{2})^2+48\cdot\frac{3}{2}+288=324\)The time it takes for the object to reach its maximum height is 1.5 seconds.
The maximum height is 324 ft.
Based on the scatter plot below, which is a better prediction for x when y = 42?
Based on the scatter plot below, better prediction for x when y = 42 is 53.
What is scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed. A scatter plot is a collection of dots drawn on two axes, horizontal and vertical. Scatter plots are useful in statistics because they illustrate the amount, if any, of correlation between the values of observed quantities or events. Scatter plots are used to demonstrate how much one variable affects another by plotting data points on a horizontal and vertical axis. Each row in the data table is represented by a marker, the location of which is determined by the values in the columns.
Here,
The scatter plot below shows that the better estimate for x when y = 42 is 53.
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A triangle has side lengths 7, 17, and x. Fill in the inequality for the possible
lengths of x below.
Answer:
9 < x < 25
Step-by-step explanation:
3. The Alvarez family bought a car for $2,000. They made a down
payment of $500. If they want to pay the balance in 5 equal
payments, how much will each of these payments be?
The first step is to subtract $500 from $2000 and then you end up with $1500 which you then divide by 5.
Each payment will have to be $300
What is the value of SSWithin if SSbetween = 236 and SS Total = 290? A) 526 B) 0.81 0912 C) 54. OF D) None of the above.
Therefore, the value of SSWithin for analysis of variance is 54, which is option C.
This is an example of using the formula to calculate SSWithin, which is the sum of squares within groups in an analysis of variance (ANOVA) table.
In an ANOVA table, SSTotal represents the total sum of squares, SSBetween represents the sum of squares between groups, and SSWithin represents the sum of squares within groups.
To calculate SSWithin, we use the formula SSTotal = SSBetween + SSWithin, which shows that the total variability in the data can be partitioned into variability between groups and variability within groups.
In this example, we are given SSTotal and SSBetween, and we are asked to find SSWithin. Substituting the given values into the formula, we get:
SSTotal = SSBetween + SSWithin
290 = 236 + SSWithin
Solving for SSWithin, we rearrange the equation to isolate SSWithin on one side:
SSWithin = SSTotal - SSBetween
Substituting the values we were given, we get:
SSWithin = 290 - 236
Simplifying, we get:
SSWithin = 54
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Write a real-life word problem that matches the equation ( 1 5 ) ÷ 3 =
PLS HELP
i honestly need help with this. i must create a word problem that uses the problem stated above. how do i make this a word problem. please excuse if my typing is a little off. thanks
Answer:
55555555555555555566666
Answer:
omg lol okay i love this:
Step-by-step explanation:
one day bob, billy, and sara went to the store to buy cookies.
they bought a box of 15 cookies.
THERE ARE TWO WAYS THIS STORY CAN GO:
NUMBER ONE:
bob, billy, and sara decided to split the bill. each cookie was one dollar. they each payed $5.
NUMBER TWO
when they got home, bob, billy, and sara decided to eat the cookies. they didn't know how to spilt them :(
they each took one cookie until they had an even amount. each child got 5 cookies.
THE END LOL I LOVE THIS
A fair coin is flipped 12 times. Find the expected value for the number of times you see three consecutive tails.
The expected number of times we see three consecutive tails in 12 coin flips is 5/4.
Let X be the random variable representing the number of times we see three consecutive tails in 12 coin flips.
We can break down X into 10 smaller random variables, where X(i) represents the number of times we see three consecutive tails starting at the ith flip.
Specifically, X(i) = 1 if the ith, (i+1)th, and (i+2)th flips are all tails, and 0 otherwise.
Then we have:
X = X(1) + X(2) + ... + X(10).
Using the linearity of expectation, we can find the expected value of X by summing the expected values of X(1), X(2), ..., X(10)
E[X] = E[X(1)] + E[X(2)] + ... + E[X(10)]
To find E[X(i)], we can use the fact that the probability of getting three consecutive tails in a row is \(1/2^3 = 1/8,\) and the probability of not getting three consecutive tails in a row is 1 - 1/8 = 7/8.
Thus, the probability distribution of X(i) is a Bernoulli distribution with parameter p = 1/8.
Therefore, we have:
E[X(i)] = 1 * P(X(i) = 1) + 0 * P(X(i) = 0)
= 1 * (1/8) + 0 * (7/8)
= 1/8.
Substituting this into our earlier formula, we get:
E[X] = E[X(1)] + E[X(2)] + ... + E[X(10)]
= 10 * (1/8)
= 5/4.
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Salima wants to buy 10 rolls of wallpaper. She sees these prices. Wallpaper Single roll Pack of 3 rolls Pack of 5 rolls What is the cheapest price for 10 rolls? £9.20 £25.50 £43.05
Answer:
25.50 for 3 (sorry I can’t type euros symbol)
Step-by-step explanation:
I use U.S. currency but I believe I can answer this the same
10 rolls for the single pack price we multiply
9.20x10
And it will be 92
Pack of 3 we divide 25.50 by 3
To get 8.5 for each
Now multiply by 10
8.5x10
85 for 10 of them
For 43.05 we multiply by 2
43.05x2
86.1
So the cheapest price is 25.50 for 3
Hopes this helps please mark brainliest
The cost of a pack of 3 rolls is cheaper price for 10 rolls.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Cost of single roll = £9.20
Cost of 10 rolls = 10 x 9.20 = £92 _____(1)
Cost of a pack of 3 rolls = £25.50
3 rolls - 25.50
1 rolls = 25.50/3
10 rolls = 10 x 25.50/3
10 rolls = £85 ______(2)
Cost of a pack of 5 rolls = £43.05
5 rolls = 43.05
10 rolls = 2 x 43.05
10 rolls = £86.1 ______(3)
From (1), (2), and (3) we see that,
The cost of a pack of 3 rolls is cheaper.
Thus,
The cost of a pack of 3 rolls is cheaper.
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if they are given 2 days to work how many scarves could alexandra make if she spent the whole time knitting scarves?
Alexandra could make 24 scarves if she spent the whole time knitting, by unitary method.
What is unitary method?A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.
Now,
Refer to the image attached for the values and information.
According to the timeline for Alexandra's production options, if she knits 0 sweaters every day, In one day, 12 scarves were knit. This suggests that if Alexandra knitted scarves all day for two days, by unitary method, she could finish 24 scarves.Hence, Alexandra could make 24 scarves if she spent the whole time knitting, by unitary method.
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if m<2=(3x+2) and m<3=100, what is the value of x?
Answer:
34523
Step-by-step explanation:
345-23=po
If m∠2 =(3x+2)° and m∠3 = 100° and the angle is linear pairs the value of x will be 26°.
What is an angle?When two lines or rays converge at the same point, the measurement between them is called an "Angle."
It is given that,
m∠2 =(3x+2)°
m∠3 = 100
If the ∠2 and ∠3 are linear pairs the sum of the angles is 180°.
Only when a pair of neighboring angles add up to 180 degrees is the pair referred to be a linear angle. For instance, the sum of the neighboring linear angles of 40 degrees and 140 degrees will equal 180 degrees, making them known as linear angles.
∠2 + ∠3 = 180°
(3x+2) + 100 = 180°
(3x+2) = 180° - 100
(3x+2) = 80
3x = 80 -2
3x =78
x =26
Thus, if m∠2 =(3x+2)° and m∠3 = 100° and the angle is linear pairs the value of x will be 26°.
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A uniformly distributed random variable has minimum and maximum values of 20 and 60, respectively.
a. Draw the density function.
b. Determine P(35 < X < 45).
c. Draw the density function including the calculation of the probability in part (b).
a factory produces laptops, and 95% of the laptops produced are tested and found to be functional. 5% of the laptops produced are defective. given that a laptop is randomly selected, and it is functional, what is the probability that it was tested?
The probability that the laptop was tested, given that it is functional, is 0.95, or 95%.
Given that the laptop is usable, we need to assess the probability that it has been tested. Let T stand for the laptop's testing event and F stand for the laptop's functioning event. The probability of T given F is what we are looking for next, or P(T|F).
The Bayes theorem can be used to determine P(T|F):
P(T|F) = P(F|T) * P(T) / P(F)
where P(F|T) is the probability that a laptop will be tested (which is 0.95), P(T) is the likelihood that a laptop will be tested, and P(F) is the likelihood that a laptop will be functional (which is the total of the likelihoods of being functional and defective, i.e., 0.95 + 0.05 = 1).
Using the conditional probability formula, we can determine P(F|T):
P(F|T) = P(F and T) / P(T)
Since 95% of the laptops produced are tested and determined to be functional, we know that the probability of a laptop being functional and tested is 0.95.
Therefore:
P(F|T) = 0.95 / 0.95 = 1
Substituting into Bayes' theorem:
P(T|F) = 1 * 0.95 / 1 = 0.95
Therefore, the probability that the laptop was tested, given that it is functional, is 0.95, or 95%.
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Part 2. State what additional information is required in order to know that the triangles are congruent by ASA.
The red angle markers show those two angles are congruent. That's one "A" of "ASA". The S refers to a congruent pair of sides. We don't have any tickmarks to indicate congruent pairs; however, we do know that QR = QR is a shared side that overlaps (reflexive theorem). So this is the "S" in "ASA".
The thing missing is the angle Q of the top triangle, and also of the bottom triangle as well. If we know those two angles are congruent, then we have enough info to use ASA. More specifically, if we know that \(\angle SQR \cong \angle XQR\), then we can use ASA.
One thing to notice is that the other answer choices involve side lengths and not angles. This implies that if A, B or C were one of the answers, then we would have something like SAS or SSS. But instead we want ASA. So we can immediately rule choices A,B, and C out.
What is the slope? A little bit of help. Due today at 11:59pm.
Answer:
2
Step-by-step explanation:
Answer:
The slope is 2
Step-by-step explanation:
(y2-y1)/(x2-x1)=m
Your Scenario:
(0-(-3))/(1.5-0)=2
The slope is 2 m=2
pls help giving brbrainlyist
The fourth choice. For example, (x+2)(x-2)>0 we'll get x>2 or x<-2 because whenever you substitute x>2 for example x = 3, the value will be higher than 0 itself.
If we substitute x = 3 (for x>2)
We'll get (3+2)(3-2)>0
5(1)>0
5>0 The statement is true.
If we substitute x = -3 (for x<-2)
We'll get (-3+2)(-3-2)>0
-1(-5)>0
5>0 The statement is true.
We don't say x>2 AND x<-2, In math, we only say x>2 OR x<-2
Answer:
x >2 and x < -2
Step-by-step explanation:
The line on the right starts on -2 and goes towards -10
So ; x is x < -2
The line on the right starts on 2 and goes towards 10
So ; x is x >2
Two airplanes leave the airport. Plane A departs at a 41° angle from the runway, and plane B departs at a 43° from the runway. Which plane was farther away from the airport when it was 5 miles from the ground? Round the solutions to the nearest hundredth.
Plane A / 7.62 mi away
Plane A / 6.63 mi away
Plane B / 6.84 mi away
Plane B / 7.33 mi away
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
We have to calculate the distance of each plane from the airport.
In other to do this, we would use the trigonometric function of Sine
sin θ = Opposite/Hypotenuse
For Plane A
Plane A departs at a 41° angle from the runway
sin θ = Opposite/Hypotenuse
θ = 41°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 41° = 5 miles/Hypotenuse
sin 41° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 41°
Hypotenuse = 7.6212654335 miles
Approximately to the nearest hundredth ≈ 7.62 miles
For Plane B
Plane B departs at a 43° from the runway
sin θ = Opposite/Hypotenuse
θ = 43°
Distance from the ground = Opposite = 5 miles
Hypotenuse = ???
sin 43° = 5 miles/Hypotenuse
sin 43° × Hypotenuse = 5 miles
Hypotenuse = 5 miles/sin 43°
Hypotenuse = 7.3313959282 miles
Approximately to the nearest hundredth ≈ 7.33 miles
From the above calculation, we can see that Plane A what 7.62 miles away from the airport while Plane b was 7.33 miles away from the airport.
Therefore Plane A was farther away from the airport (7.62 miles away) when it was 5 miles from the ground.
Answer:
Plane A / 7.62 mi away
Step-by-step explanation:
I got it right on the test
if two secants of a circle are ____ then they cut off congruent arcs
Answer: Parallel
Step-by-step explanation:
if two secanys of a circle are made them they cut off congruent arcs
"What set of reflections would carry hexagon ABCDEF onto itself?. . Hexagon ABCDEF on the coordinate plane with pointA at negative 1, 1, pointB at negative 3, 1, pointC at negative 4, 2, pointD at negative 3, 3, pointE at negative 1, 3, and pointF at 0, 2. . .x-axis, y=x, x-axis, y=x .. y=x, x-axis, y=x, y-axis .. y-axis, x-axis, y-axis .. x-axis, y-axis, y-axis ."
A set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
What is a combination of reflections?
Combination of Two Reflections. A point or object once reflected can further be reflected to form a new image. The axes of these reflections may be parallel to each other or they intersect each other at a point.
Given the coordinates of hexagon ABCDEF, it can be determined that a set of reflections that would carry the hexagon onto itself would be a combination of reflections over the x-axis and y-axis.
One possibility would be to reflect over the x-axis, then reflect over the y=x line, and finally reflect over the x-axis again.
This would take the hexagon from its original position to itself.
Another possibility would be to reflect over the y = x line, then reflect over the x-axis, and finally reflect over the y-axis.
This would also take the hexagon from its original position to itself.
Hence, a set of reflections that would carry hexagon ABCDEF onto itself would be "x-axis, y=x, x-axis" or "y=x, x-axis, y-axis".
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0.04 + 0.015x = 1.09
Answer:
x = 70
Step-by-step explanation:
0.04 + 0.015x = 1.09 ( subtract 0.04 from both sides )
0.015x = 1.05 ( divide both sides by 0.015 )
x = 70
t + 2<=23Simplify your answer as much as possible.ÜХ
Bring like terms together
\(\begin{gathered} 15+4\text{ = t}-4\text{ +4} \\ 19\ge t \\ t\leq19 \\ \\ \end{gathered}\)on number line, we will have
HELP!! Angle Proofs- Geometry!
Sophia is organizing textbooks on her bookshelf. She has an English textbook, a biology textbook, a history textbook, and a writing textbook. How many different ways can she line the textbooks up on her bookshelf?
Answer:
I believe it's 24 combinations.
Step-by-step explanation:
I found how many there were when starting with English, and there were six. I multiplied this by four (for the four books) and found 24.
Hope this helps! Have a nice day :)
Answer:
24 ways
Step-by-step explanation:
English, biology, history, writing
English, history, writing, biology
English, writing, biology, history
English, biology, writing, history
English, history, biology, writing
English, writing, history, biology
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
So there is going to be 6 different ways in every textbook you put in front, [amount of textbook (4)] x [different ways (6)] = 24 ways
btw there is a easier way of doing this but i forgot ;-;
ayuda me ( help me ) lol
please tho
Answer: 6 hikes
Step-by-step explanation:
Look at the image provided. The lengths of the hikes are provided below. 1/2 is equivalent to 2/4 which is greater than/longer than 1/4 of an hour. We count the amount of X's above the numbers 1/2, 3/4, and 1 for an answer of 6. Hope this helped! :)
Answer:
6
Step-by-step explanation:
There are 6 crosses above 1/4 on the graph
Joelle wants to center a painting on a wall that is 16.9 feet long. how much space will be between the end of the wall and the painting?
The equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.
To find the amount of space between the end of the wall and the painting, we need to subtract the length of the painting from the length of the wall and divide it by 2.
Given that the wall is 16.9 feet long and the painting is to be centered, we can assume the painting's length is unknown. Let's represent it as 'x'.
Therefore, the equation becomes (16.9 - x) / 2 = space between the end of the wall and the painting.
To solve for x, we can multiply both sides of the equation by 2 to get rid of the fraction, resulting in 16.9 - x = 2 * (space between the end of the wall and the painting).
Next, we simplify the equation to 16.9 - x = 2 * space.
To isolate x, we subtract 2 * space from both sides, resulting in x = 16.9 - 2 * space.
To determine the exact amount of space between the end of the wall and the painting, we would need to know the value of 'space'. Unfortunately, it is not provided in the question.
In summary, the equation to find the amount of space between the end of the wall and the painting is x = 16.9 - 2 * space, where 'x' represents the length of the painting and 'space' represents the unknown space.
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What is the slope of line p