Answer: 0
Step-by-step explanation:
PEMDAS- Start with parentheses first.
-2(-3)= 6, 27÷(-3)= -9
Substitute these values into the equation
6-9+3=0
Answer:
0
Step-by-step explanation:
using BODMAS
-2(-3)+27÷(-3)+3
= -2(-3) -9 +3
= +6 -9 +3
= +6 -6
=0
a real estate agent has 17 17 properties that she shows. she feels that there is a 40% 40 % chance of selling any one property during a week. the chance of selling any one property is independent of selling another property. compute the probability of selling more than 2 2 properties in one week. round your answer to four decimal places.
The probability of selling more than 3 properties in one week is 0.4044.
This is a binomial probability problem, where the number of trials is the number of properties shown (17) and the probability of success is 0.40 (the chance of selling any one property).
Let X be the random variable representing the number of properties sold in a week. We want to find P(X ≤ 3).
Using the binomial probability formula, we have:
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
where
P(X = k) = (\(^{n}C_k\)) × \(p^k\) × \((1-p)^{(n-k)}\)
where n is the number of trials, p is the probability of success, and (n choose k) is the number of ways to choose k successes from n trials.
Plugging in the values, we get:
P(X ≤ 3) = (\(^{17}C_0\)) × \(0.4^0\) × \(0.6^{17}\) + (\(^{17}C_1\)) × \(0.4^1\) × \(0.6^{16}\) + (\(^{17}C_2\)) × \(0.4^2\) × \(0.6^{15}\) + (\(^{17}C_3\)) × \(0.4^3\) × \(0.6^{14}\)
Using a calculator or software, we get:
P(X ≤ 3) ≈ 0.4044
Rounding to four decimal places, the probability of selling no more than 3 properties in one week is 0.4044.
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AB = 2x + 3, BC = 3x + 7, AC = 60. what does x represent
Answer:
AC=AB+BC
60=2x+3+3x+7
60=2x+3x+3+7
60=5x+10
60-10=5x
50=5x
x=10
What number should be added to both sides of the equation x−7=1 to solve for the value of x?
Answer:
7
Step-by-step explanation:
The question is in the picture.
Answer:
x² - 22x + y² + 18y + 58 = 0
Step-by-step explanation:
Using the equation of a circle :
(x - h)² + (y - k)² = r²
Solving :
Substitute 11, -9, 12 in place of h, k and r respectively.
(x - 11)² + (y + 9)² = (12)²x² - 22x + 121 + y² + 18y + 81 = 144x² - 22x + y² + 18y + 202 = 144x² - 22x + y² + 18y + 58 = 0convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
Hope this helps!!
Also, mark me brainliest thank you!!!
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Pls help pls and thank you
Answer:
so that the guy forgot to add question
Solve the triangle with the law of sines
Answer:
AC = 12.6
AB = 49.8
C = 73°
Step-by-step explanation:
(B/sin(14)) = (52/sin(93))
B = (52*sin(14))/sin(93)
B = 12.6
(C/sin(73)) = (52/sin(93))
C = (52*sin(73))/sin(93)
C = 49.8
You will begin with a relatively standard calculation Consider a concave spherical mirror with a radius of curvature equal to 60.0 centimeters. An object 6 00 centimeters tall is placed along the axis of the mirror, 45.0 centimeters from the mirror. You are to find the location and height of the image. Part G What is the magnification n?. Part J What is the value of s' obtained from this new equation? Express your answer in terms of s.
The magnification n can be found by using the formula n = -s'/s, where s' is the image distance and s is the object distance. The value of s' obtained from this new equation can be found by rearranging the formula to s' = -ns.
To find the magnification n, we can use the formula n = -s'/s, where s' is the image distance and s is the object distance. In this case, the object is placed 45.0 centimeters from the mirror, so s = 45.0 cm. The magnification can be found by calculating the ratio of the image distance to the object distance. By rearranging the formula, we get n = -s'/s.
To find the value of s' obtained from this new equation, we can rearrange the formula n = -s'/s to solve for s'. This gives us s' = -ns. By substituting the value of n calculated earlier, we can find the value of s'. The negative sign indicates that the image is inverted.
Using the given values, we can now calculate the magnification and the value of s'. Plugging in s = 45.0 cm, we find that s' = -ns = -(2/3)(45.0 cm) = -30.0 cm. This means that the image is located 30.0 centimeters from the mirror and is inverted compared to the object.
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f(x) = x² - 3x-4
g(x) = x + 1
Find(f/g)(x)
(f/g)(x)=
The domain of (f/g)(x) is x ≠
There are two functions f(x) and g(x) such that f(x) = x² - 3x-4 and g(x) = x+1. The value of the function (f/g)(x) = x-4 and x≠ 1 is the domain of the function (f/g)(x).
We have provided two functions such that;
f(x) = x² - 3x-4
g(x) = x+1
To find the value of (f/g)(x)
(f/g)(x) = f(x)/g(x) ....(i)
Substituting values of f(x) and g(x) in equation (i),
(f/g)(x)= x² - 3x-4/x+1 ......(ii)
On Factorizing x² - 3x-4 we get;
x² - 3x-4 = x² - 4x+x-4
x² - 3x-4= (x² - 4x)+(x-4)
x² - 3x-4 = x( x-4) +1 (x-4)
x² - 3x-4 = (x+1)(x-4)
Putting the above value in equation (ii) we get;
(f/g)(x)= (x+1)(x-4)/x+1
On simplifying the equation we get;
(f/g)(x) = x-4
Let's suppose x = -1
On putting x = -1 in equation (ii) the value of the denominator becomes 0 and division by 0 is undefined. So our supposition is wrong.
Therefore, the function's domain (f/g)(x) is x≠ -1.
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Erica recently invested in gold that is growing in value 4% annually. She invested $4000 initially. Find the value of her investment after 6 years.
The value of Erica's investment after 6 years is approximately $4,939.05.
To find the value of Erica's investment after 6 years, we can use the compound interest formula. The formula for compound interest is given as:
A = P\((1 + r/n)^(nt)\)
Where:
A is the final amount or value of the investment.
P is the initial principal or investment amount.
r is the annual interest rate (as a decimal).
n is the number of times the interest is compounded per year.
t is the number of years.
In this case, Erica's initial investment is $4000, the annual interest rate is 4% (or 0.04 as a decimal), and the investment is growing annually. Therefore, we have:
P = $4000
r = 0.04
n = 1 (since the interest is compounded annually)
t = 6 years
Plugging these values into the compound interest formula, we can calculate the final value of the investment:
A = $4000(1 + \(0.04/1)^(1*6)\)
A = $4000(1 + 0.04)^6
A = $4000(1.04)^6
Evaluating this expression, we find:
A ≈ $4,939.05
Therefore, the value of Erica's investment after 6 years is approximately $4,939.05.
This calculation assumes that no additional investments or withdrawals were made during the 6-year period and that the interest rate remains constant at 4% per year.
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Explain what it means for a sequence to be arithmetic and what it means for a sequence to be geometric. Give examples and highlight different representations as needed. Provide clear and complete descriptions of the underlying nature of each type of sequence.
Answer:
Step-by-step explanation:
when it says a sequence is arithmetic, it means that is has a common difference and come in the form a+(n-1)d, where a is the first term of the sequence, n is the number of terms and d is the common difference (the difference between each term.
example: 6, 3, 0, -3, -6
the common difference is 3, therefore its form is 6+(n-1)(-3) = 9-3n
if u wanted to find the 7th term in the sequence (\(a_7\)), you'd put 7 in place of n in the equation.
geometric sequences have common ratios and come in the form ar^n-1
where a is the first term, r is the common ratio (basically the common difference but in the form of a fraction) and n is the number of terms.
Y= 3y - 2x
2y = 3x -2
(método de sustitución, igualación y suma y resta)
The solution of the system of equations is (x, y) = (1/3, 1/3).
To solve the given system of equations, we can use any of the following three methods; the substitution method, the elimination method (also known as the addition/subtraction method), and the graphical method. Below, we will solve it using each of these methods.
1. Substitution method:
We will use the substitution method to solve the system of equations. Step-by-step solution is shown below; Given equations are
Y = 3y - 2x ...(1)2y = 3x - 2 ...(2) From equation (1), we have
Y + 2x = 3y ...(3)Now substitute equation (3) into equation
(2)2y = 3x - 2 ...(2)Y + 2x = 3y ...(3)2(3y - 2x) = 3x - 2
Multiplying both sides by 2:
6y - 4x = 3x - 2 Grouping like terms:
6y - 3x = 2 Adding 3x to both sides:
6y = 3x + 2Dividing both sides by 6:
y = (3/6)x + 2/6y = (1/2)x + 1/3
Therefore, the solution of the system of equations is (x, y) = (1/3, 1/3).
2. Elimination method:
We will use the elimination method to solve the system of equations. Step-by-step solution is shown below; Given equations are
Y = 3y - 2x ...(1)2y = 3x - 2 ...(2)Multiplying equation (1) by 2,
we get;2Y = 6y - 4x ...(3)Multiplying equation (2)
by -3, we get;-6y = -9x + 6 ...(4) Adding equations (3) and (4),
we get;-4x = -9x + 8
Simplifying;-4x + 9x = 8x = -8x = -2
Therefore, we found the value of x, which is -2.
Substitute the value of x in either equation (1) or (2);
If we substitute x = -2 in equation (1), we get;
Y = 3y - 2(-2)Y = 3y + 4Y - 3y = 4Y = 4/2Y = 2Substitute the value of y in equation (1)
;Y = 3y - 2xY = 3(2) - 2(-2)Y = 6 + 4Y = 10
Therefore, the solution of the system of equations is (x, y) = (-2, 10/2).3.
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I’m wondering if this is a polygon
Answer:
They don't need to have parallel lines or right angles. If you think about that, it means that a triangle is a polygon. So are squares, rectangles and, yes, quadrilaterals, parallelograms and trapezoids. They all are closed shapes with many sides, so they're all polygons!
Have a great day!
Brainliest please :)
Passes through 5,4 slope -3 ASAP
Use the same ideas outlined above in finding the requested sums: 1. a = {5, 15, 45, 135, 405,...} a. The first term of the sequence a is b. The common ratio for the sequence a is c. The sum of the first 9 terms of a is 89 a 2. a = {2,1, 1, 1, 1, "2" 4' 8 a. The first term of the sequence a is b. The common ratio for the sequence a is c. The sum of the first 26 terms of a is 826 3. a = {4, -8,16, -32, 64,...} a. The first term of the sequence a is b. The common ratio for the sequence a is c. The sum of the first 37 terms of a is 837 2 4. a = {8, -2, 22 – 5, 32 ...} a. The first term of the sequence a is o b. The common ratio for the sequence a is c. The sum of the first 85 terms of a is 885
1. a = {5, 15, 45, 135, 405,...}
a. The first term of the sequence a is 5
b. The common ratio for the sequence a is 3
c. The sum of the first 9 terms of a is 121551.
We can easily find the first term of the sequence by just looking at the sequence, which is 5.
The common ratio of the sequence can be found by dividing the second term with the first term, which is:15/5 = 345/15 = 315/45 = 3
Similarly, the sum of the first 9 terms of a can be found by using the formula of the sum of the geometric series as:
S9 = a(1 - r⁹)/(1 - r)S9 = 5(1 - 3⁹)/(1 - 3)S9 = 12155
Therefore, the sum of the first 9 terms of a is 12155.2.
a = {2,1, 1, 1, 1, "2" 4' 8}
a. The first term of the sequence a is 2b.
The common ratio for the sequence a is 2c. The sum of the first 26 terms of a is 67108862.
The first term of the sequence can be found by just looking at the sequence, which is 2.
Similarly, we can find the common ratio of the sequence by dividing the 6th term by the 5th term, which is:2/1 = 2
Similarly, the sum of the first 26 terms of a can be found by using the formula of the sum of the geometric series as:
S26 = a(1 - r²⁶)/(1 - r)S26
= 2(1 - 2²⁶)/(1 - 2)S26 = 67108862
Therefore, the sum of the first 26 terms of a is 6710886.3.
a = {4, -8,16, -32, 64,...}
a. The first term of the sequence a is 4b.
The common ratio for the sequence a is -2c.
The sum of the first 37 terms of a is 274877906.
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Part of the population of 6,250 elk at a wildlife preserve is infected with a parasite. A random sample of 50 elk shows that 6 of them are infected. How many elk are likely to be infected? Based on the sample, there will likely be infected elk in the wildlife preserve.
====================================================
Explanation:
6 in the sample of 50 are infected, so 6/50 = 12/100 = 12% are infected in the sample. We expect this percentage to carry over to the entire population assuming we picked a representative random sample that isn't biased.
12% of 6250 = 0.12*650 = 750 is the expected number of infected individuals in the population.
----------
Here's an alternative way you can solve through a proportion
(number infected)/(total) = (number infected)/(total)
6/50 = x/6250
6*6250 = 50x ... cross multiply
37500 = 50x
50x = 37500
x = 37500/50 ... divide both sides by 50
x = 750
A family wants to rent a car to go on vacation. Company A charges $35.50 and 9¢ per mile. Company B charges $65.50 and 13¢ per mile. How much more does Company B charge for x miles than Company A? PLEASE HELPPPP
3004¢ more does Company B charge for x miles than Company A.
What is Subtraction?Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.
here, we have,
Company A charges $35.50 and 9¢ per mile.
Company B charges $65.50 and 13¢ per mile.
Also, we could convert dollars to cents by multiply it by 100
Since $1 =100 cents.
so, we get,
Company A charges $35.50 and 9¢ per mile. = 3559
Company B charges $65.50 and 13¢ per mile = 6563
difference = 6563 - 3559
= 3004
Hence, 3004¢ more does Company B charge for x miles than Company A.
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CI is desired for the true average stray-load loss μ (watts) for a certain type of induction motor when the line current is held at 0 amps for a speed of 1500rpm. Assume that stray-load loss is normally distributed with σ=2.9. (Round your answers to two lecimal places.) (a) Compute a 95\% CI for μ when n=25 and xˉ=59.7. (.) watts
Confidence interval (CI) refers to the range of values in which we can expect to find an unknown parameter, such as the true average stray-load loss.
The following is the solution to the given problem:
Given: n=25, σ=2.9, xˉ=59.7.
\(To find: 95% CI for μ.\)
Calculation:Since the sample size n is greater than 30, we can use the Z-distribution to calculate the CI.
The formula for the confidence interval when the population standard deviation (σ) is known is as follows:
\(\[\overline{x} \pm z_{(α/2)} \frac{σ}{\sqrt{n}}\]Where,\[\overline{x}\] is the sample mean,\)
σ is the population standard deviation, n is the sample size, and z is the z-score that corresponds to a given level of confidence, α/2.
For a 95% confidence interval, the level of significance α is 0.05/2 = 0.025.
To calculate the z-score, we will use the standard normal distribution table which gives us a value of 1.96 for a 95% confidence interval.
Substituting the given values in the above formula,
\(we get:\[\begin{aligned}&59.7 \pm 1.96 \frac{2.9}{\sqrt{25}}\\&59.7 \pm 1.14\end{aligned}\]\)
Therefore, the 95% confidence interval for μ is (58.56, 60.84) watts.
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Autumn spots the boy that she has a crush on sitting with his friends. Her heart begins to pound, her hands get sweaty, and her cheeks feel hot. Autumn's __________ has been activated.
Autumn's physiological response, characterized by her increased heart rate, sweaty hands, and flushed cheeks, indicates that her sympathetic nervous system has been activated.
Autumn's physiological response, such as an increased heart rate, sweaty hands, and flushed cheeks, is a typical manifestation of the fight-or-flight response, which is controlled by the sympathetic nervous system. In this situation, Autumn's body is reacting to a perceived threat or a stressful stimulus, which in this case is the presence of the boy she has a crush on.
When the sympathetic nervous system is activated, it triggers the release of stress hormones like adrenaline, which leads to various physiological changes in the body. These changes include increased heart rate, dilation of blood vessels, increased blood flow to the muscles, and sweating, all of which prepare the body for action in response to a perceived threat. This response is part of the body's automatic reaction to stressful or arousing situations and helps to mobilize the body's resources to deal with the perceived threat or challenge.
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An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of the country from 240 to 306 days before the birth of the child, so the pregnancy would have been less than 240 days or more than 306 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. What is the probability that he was NOT the father? What is the probability that he could be the father? Calculate the z-scores first, and then use those to calculate the probability.
For an a normally distributed the length of a pregnancy, with mean of 280 days and a standard deviation of 13 days,
a) the probability that he was NOT the father is equals to the 0.9762.
b) The probability that he could be the father is equals the 0.0238.
We have an expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed. Let variable X has normal distribution, Mean, μ = 280 days
standard deviations, σ = 13 days
An alleged father was out of the country from 240 to 306 days before the birth of the child. So, the variable value varies X < 240 or X> 306. Using Z-Score formula for normal distribution,
\(z= \frac{x -μ}{σ}\)
For x = 240
=> z =( 240 - 280)/13
= -40/13 = - 3.07
For x = 306
=> z = (306 - 280)/13
= 26/13 = 2
a) Probability that he not be the father , P ( 240< x < 306) or P(E)
= \( P ( \frac{240 - 280}{13 }< \frac{x - \mu}{\sigma} < \frac{306 - 280}{13})\)
= P (- 3.07 < z < 2 )
= P( x< 2) - P(z< - 3.07)
Using the normal distribution table value of probabilities for z < 2 and z< - 3.07 are determined, = 0.9762
= P(240<x <306)
b) Probability that he could be the father,
\(P( \bar E) \) = 1 - P(E)
= 1 - 0.9762
= 0.0238
Hence, required value is 0.0238.
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HELP PLEASE
18 miles= how many feet
_________feet
Answer:
18 miles= how many feet
____95,040_____feet
Step-by-step explanation:
happy to help ya:)
a basket of beads contains 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced 60 times. What is a reasonable prediction for the number of times a green bead is drawn?
A basket of beads consists of 8 red beads, 6 yellow beads, and 6 green beads. A bead will be picked from the basket and replaced 60 times.
The goal is to determine a fair estimate of the number of times a green bead will be picked.A green bead is picked from the basket at a rate of 6/20 times. Since the bead is replaced after each pick, the probabilities of picking a green bead every time are identical. As a result, the number of times a green bead is drawn can be anticipated to be around 60*6/20 = 18.
There is a 95 percent probability that the actual number of times a green bead is drawn in 60 trials is within two standard deviations of the mean. As a result, the estimated range of times a green bead will be drawn is approximately 18 ± 2.
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A paper is 0.55 mm thick. How high pile of 274 sheets? The paper is 24.5 long and 18.5 cm wide. Calculate volume of the pile of paper.
The height of the pile is 150.7 mm, and the volume is V = 6,830,477.5 mm³.
How high will be the pile of papers?We know that each paper is 0.55mm thick, then if we pile 274 of these, the height of the pile will be:
H = 0.55mm*274 = 150.7mm
Now we want to get the volume of the pile of paper. Remember that for a rectangular prism of height H, width W, and length L, the volume is:
V = H*W*L
In this case, we have:
H = 150.7mmW = 18.5 cm = 185 mmL = 24.5 cm = 245 mmThen the volume is:
V = (150.7mm)*(185 mm)*(245 mm) = 6,830,477.5 mm³
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.If n is even, then the lines of symmetry will pass through two
vertices or the
of two opposite sides.
Answer:
See answer below
Step-by-step explanation:
Lines of symmetry of the polygon.
This is true for regular polygons only.
If the number of sides n is even, there is a line of symmetry which can be drawn from each vertex to the opposite vertex and another line which can be drawn from mid-point of one side to the mid-point of the opposite side
Liz is exploring the coral reef at 92 feet below sea level and Jim is hiking 91 feet above sea level. Does this situation represent an additive inverse?
Answer: 183 is corecct
Step-by-step explanation:
My age if I am half as old as two more than twice Mack's age if Mack is m years old.
Answer:
You are m + 1 years old.
Step-by-step explanation:
Let's say that you are x years old, and Mack is m years old.
x = 1/2( two plus twice m)
x = 1/2(2 + 2m)
x = 1 + m
x = m + 1
Hope this helps!
which set of sides will NOT make a triangle?
12cm, 7cm, 5cm
2cm, 3c, 4cm
11cm, 13cm, 3cm
19cm, 14cm, 7cm
Find the area of the parallelogram and then use that to find h. The parallelogram is the figure made with the solid lines.
Answer: 42
Step-by-step explanation: you have to add 9 18 and 15.
Each flag is in the shape of an isosceles triangle. To give the fabric support, a ribbon needs to be sewn around the outside edges of the flag. The base of each triangle is 1.25 feet. Eleonore has ordered 500 feet of ribbon and is hoping to make at least 75 flags. What is the maximum length possible for each leg of the triangles? (Round your answer to the nearest tenth)
The maximum length possible for each leg is
feet.
Answer:
no its 2.7
Step-by-step explanation:
i just took the test its 2.7 duh !
The length of each leg can be found from an expression and an equation that gives the length of ribbon Eleonore has.
The maximum length possible for each leg is approximately 2.7 feet.
Reasons:
The shape of the flag = Isosceles triangle
Length of the base of each triangle = 1.25 feet
Length of ribbon available = 500 feet
Number of flags to make = 75 flags
Required:
Maximum possible length for each leg of the triangle
Solution:
Let L represent the length of each leg, we have;
The expression for the perimeter of one flag = 2·L + 1.25
For the 75 flags, the equation is as follows;
75 × (2·L + 1.25) = 500
Which gives;
\(\displaystyle 2 \cdot L + 1.25 = \mathbf{\frac{500}{75}} = \frac{20}{3}\)
\(\displaystyle L = \frac{\frac{20}{3} - 1.25}{2} = \frac{65}{24} \approx \mathbf{2.708\overline 3}\)
The maximum possible length for each leg, by rounding to the nearest tenth, is L ≈ 2.7 feet
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in order to be correct, a line graph of the number of marriages per year in the united states must have group of answer choices number of marriages on the horizontal scale. years on the horizontal scale. either marriages or years on the horizontal scale, as long as equal intervals are used. bars of equal width.
In order to be correct, a line graph of the number of marriages per year in the United States must have years on the
horizontal scale.
It is defined as the process of adding more instances of the same type to the existing pool of resources and not
increasing the capacity of existing resources like in vertical scaling. This kind of scaling also helps in decreasing the
load on the server. This is called Horizontal Scaling
This allows for a clear representation of the number of marriages over time. To create such a graph, follow these steps:
1. Label the horizontal axis with years, making sure to use equal intervals between each year.
2. Label the vertical axis with the number of marriages.
3. Plot the data points for each year, representing the number of marriages.
4. Connect the data points with a line to show the trend over time.
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