The corrected version has a base of 0.7, representing exponential decay, and has the function[tex]y = a(1-r)x[/tex] as [tex]y = 2.55(0.7)x[/tex] with a [tex]0.3[/tex] decay factor.
Explain function?
A function is a link or statement that contains one or more values. Both inputs and outputs are numerous. With each input, there is only one output. The links between the inputs and the results are described by the function.
The error the student made is in Step 2 where they incorrectly wrote the function in the form [tex]y = a(1-r)*.[/tex]The correct form for exponential decay is [tex]y = a(1-r)^x[/tex], where x is the number of time periods. So, the correct equation for the given function is [tex]y = 2.55(0.7)^x.[/tex]
To find the decay factor, the student should have subtracted the base from 1, instead of multiplying it by -1. Therefore, the correct decay factor is [tex]1 - 0.7 = 0.3.[/tex]
So, the corrected version of the solution is:
Step 1: As the function's base is[tex]0.7[/tex], it simulates exponential decay.
Step 2: The function in the form [tex]y = a(1-r)^x is y = 2.55(0.7)^x.[/tex]
Step 3: The decay factor is [tex]0.3.[/tex]
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In a certain math game, each problem is either easy or hard, and problems of the same difficulty level are worth the same number of points. Sandra
played this game twice.
. In the first game, she correctly answered 10 easy problems and 8 hard problems for a total of 94 points.
. In the second game, she correctly answered 5 easy problems and 16 hard problems for a total of 143 points.
The system below can be used to determine z, the number of points per easy problem, and y, the number of points per hard problem.
10z + 8y = 1
(5z + 16y=143
Which is the quickest method of finding the number of points per easy problem?
O Subtract 2 times the bottom equation from the top equation.
Subtract 2 times the top equation from the bottom equation.
Add 2 times the bottom equation to the top equation.
O Add 2 times the top equation to the bottom equation.
Answer: 18.75%
Step-by-step explanation:
To find the percent increase, we need to calculate the difference between the new speed and the old speed, divide that by the old speed, and then multiply by 100 to get the percentage increase.
The difference between the new speed and the old speed is:
38 - 32 = 6
To find the percentage increase, we divide the difference by the old speed and multiply by 100:
(6 / 32) x 100 = 18.75%
Therefore, Matt's typing speed increased by 18.75%.
eighteen marbles, 6 red, 6 white and 6 blue are placed around a circle. a marble is called neat if its two adjacent marbles are of the same color. for example, a red marble surrounded by two white marbles is neat. find, with proof, the largest possible number of neat marbles.
The arrangement has 11 neat marbles: the three red marbles with two white neighbors each, the three blue marbles with two white neighbors each, and the two white marbles with two blue neighbors each.
To maximize the number of neat marbles, we want to create as many same-colored pairs of marbles around the circle as possible. Let's start by placing all the red marbles around the circle in a way that maximizes the number of neat marbles.
One possible arrangement is:
R-W-R-W-R-W
where R represents a red marble, and W represents a white marble. This arrangement has six neat marbles: the three red marbles with two white neighbors each.
Now, let's add the blue marbles to the arrangement. We want to place them in a way that doesn't break any of the neat pairs we've already created. One way to do this is to place them between the white marbles:
R-W-R-B-R-B-W-R-W-B-W
This arrangement has nine neat marbles: the three red marbles with two white neighbors each, and the three blue marbles with two white neighbors each.
Finally, we can add the remaining white marbles to the arrangement, again placing them in a way that doesn't break any of the neat pairs we've already created. One way to do this is to place them between the red and blue marbles:
R-W-R-B-W-B-W-R-B-W-B
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9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2 make a line plot that displays the lengths of the books on the bottom shelf
The line-plot of the the given data 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2 that displays the lengths of the books on the booom shelf is attached.
What is line plot?
A line plot is a type of graph that represents the kind of data representation. It is line plot or a line chart shows the data in a visual form or visual representation. The graph is plotted with help of straight lines and points or dots. The x-axis is represented by straight lines or the it is labelled about the data. The y-axis is represented by the dots or frequency of the data. It is generally used to represent the small data set. This graph uses symbols to show or represent the frequency of the observations.
The data represented here is 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, 9 1/2
we can make the frequency table using the above values, after which it can be plotted on the line-plot graph.
1-9 1/4--1 dot
2-9 1/2--1 dot
3-9 1/2--1 dot
4-10 1/4-2 dots
5-10 1/2--1 dot
6-11--1 dot
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Attached is a line-plot of the given data showing the lengths of the books on the book shelf: 9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, and 9 1/2.
What is line plot?An example of a graph that shows this sort of data representation is a line plot. The data is presented visually in the form of a line plot or a line chart. With the aid of straight lines, points, or dots, the graph is drawn. Straight lines or labels that describe the data are used to depict the x-axis. The dots or frequency of the data are used to depict the y-axis. It often serves as a representation for a tiny group of data. The frequency of the observations is shown or represented by symbols on this graph.
9 3/4, 10 1/2, 9 1/4, 10 1/4, 11, 10 1/4, and 9 1/2 are the numbers shown.
Using the aforementioned variables, we can create the frequency table, which can then be plotted on the line-plot graph.
1-9 1/4--1 dot
2-9 1/2--1 dot
3-9 1/2--1 dot
4-10 1/4-2 dots
5-10 1/2--1 dot
6-11--1 dot
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given = g(x)=-6x+8,find g(2)
Answer:
Step-by-step explanation:
g(2) = -6(2) + 8 = -12 + 8 = -4
what is the area of the trapizoid. not draw to scale
a. 8 cm2
b. 62 cm2
c. 84 cm2
d. 125 cm2
Attitudes toward school. The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude toward school, and study habits of students. Scores range from 0 to 200. The mean score for U.S. college students is about 115, and the standard deviation is about 30. A teacher who suspects that older students have better attitudes toward school gives the SSHA to 25 students who are at least 30 years of age. Their mean score isAttitudes toward school. The Survey of Study
Habit= 127.8.
(a) Assuming that ? = 30 for the population of older students, carry out a test of
H0: ?= 115
H0: ?> 115
Report the P-value of your test, and state your conclusion clearly.
(b) Your test in part (a) required two important assumptions in addition to the assumption that the value of ? is known. What are they? Which of these assumptions is most important to the validity of your conclusion in part (a)?
(a) To test the hypotheses H0: µ = 115 and H1: µ > 115, we will conduct a one-sample t-test using the given information.
Step 1: Calculate the t-value.
t = (sample mean - population mean) / (standard deviation / √sample size)
t = (127.8 - 115) / (30 / √25)
t = 12.8 / 6
t = 2.13
Step 2: Determine the degrees of freedom (df).
df = sample size - 1
df = 25 - 1
df = 24
Step 3: Find the P-value.
Using a t-table or calculator, find the P-value corresponding to t = 2.13 and df = 24. The P-value is approximately 0.022.
Step 4: State the conclusion.
Since the P-value is less than the commonly used significance level of 0.05, we reject the null hypothesis (H0: µ = 115) and conclude that the mean score for older students is significantly higher than the mean score for the entire population.
(b) The two important assumptions for the t-test are:
1. The sample is randomly selected from the population.
2. The population is normally distributed.
The most important assumption for the validity of the conclusion in part (a) is the normality of the population. If the population is not normally distributed, the results of the t-test may not be valid, and the conclusion may be inaccurate.
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a daily mail is delivered to your house between 1:00 p.m. and 6:00 p.m. assume delivery times follow the continuous uniform distribution. determine the percentage of mail deliveries that are made after 5:00 p.m.
The percentage of mail deliveries that are made after 5:00 p.m is 33.3%.
The continuous uniform distribution is a probability distribution that is used when all outcomes are equally likely, and they are spread out over a given interval.
In this case, the interval is from 1:00 p.m. to 6:00 p.m.
To determine the percentage of mail deliveries that occur after 5:00 p.m., we need to calculate the probability that the delivery time falls after 5:00 p.m.
The probability of a delivery time falling after 5:00 p.m. can be found by subtracting the probability of it falling before 5:00 p.m. from 1.
The probability of a delivery time falling before 5:00 p.m. is found by calculating the area under the probability density curve between 1:00 p.m. and 5:00 p.m.
This can be found using the following formula:
P(x ≤ 5:00 p.m.) = (5:00 p.m. – 1:00 p.m.) / (6:00 p.m. – 1:00 p.m.)
This gives us a probability of 0.667.
Therefore, the probability of a delivery time falling after 5:00 p.m. is 1 – 0.667 = 0.333, or 33.3%.
This means that 33.3% of the daily mail deliveries are made after 5:00 p.m.
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-2√8 as a mixed number please
Answer:
-√8
Step-by-step explanation:
If a₁ = 9, and an an-1 - 1 then find the value of a4.
A. 5
B. 6
C. 9
D. 4
Answer:
it’s b
Step-by-step explanation:
I just did it
Question content area top
Part 1
The granular fertilizer 12-12-12 is composed of 12% nitrogen, 12% phosphate, and 12% potassium. Similarly, the fertilizer 16-17-0 is composed of 16% nitrogen, 17% phosphate, and 0% potassium. If a gardener mixes a 10 pound bag of 12-12-12 with a 5 pound bag of 16-17-0, what are the concentrations of nitrogen, phosphate, and potassium in the mixture? Express the answers as percents
the concentrations of nitrogen, phosphate, and potassium in the mixture are 13.33%, 13.67%, and 8%, respectively. To find the concentrations of nitrogen, phosphate, and potassium in the mixture, we need to calculate the total amount of each nutrient in the two bags and then divide by the total weight of the mixture.
First, let's calculate the amount of each nutrient in the 10 pound bag of 12-12-12:
Nitrogen: 12% of 10 pounds = 1.2 pounds
Phosphate: 12% of 10 pounds = 1.2 pounds
Potassium: 12% of 10 pounds = 1.2 pounds
Next, let's calculate the amount of each nutrient in the 5 pound bag of 16-17-0:
Nitrogen: 16% of 5 pounds = 0.8 pounds
Phosphate: 17% of 5 pounds = 0.85 pounds
Potassium: 0% of 5 pounds = 0 pounds
Now, let's add up the total amount of each nutrient in the two bags:
Nitrogen: 1.2 + 0.8 = 2 pounds
Phosphate: 1.2 + 0.85 = 2.05 pounds
Potassium: 1.2 + 0 = 1.2 pounds
Finally, let's divide the total amount of each nutrient by the total weight of the mixture (10 + 5 = 15 pounds) and express the answers as percentages:
Nitrogen: (2 / 15) x 100% = 13.33%
Phosphate: (2.05 / 15) x 100% = 13.67%
Potassium: (1.2 / 15) x 100% = 8%
Therefore, the concentrations of nitrogen, phosphate, and potassium in the mixture are 13.33%, 13.67%, and 8%, respectively.
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Jordan is saving to buy a pair of shoes. He already has saved $30. If the shoes cost $75, write an inequality to determine how much more money he needs to save so he can buy the shoes
The inequality to determine how much more money he needs to save so he can buy the shoes is x ≥ $45
Let x be the amount of money Jordan still needs to save to buy the shoes.
The total cost of the shoes is $75, and Jordan has already saved $30. Therefore, the amount of money he still needs to save is:
x = $75 - $30
Simplifying the right side:
x = $45
So, the inequality that represents how much more money Jordan needs to save is:
x ≥ $45
This means that Jordan needs to save at least $45 more to be able to buy the shoes.
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-2 1/2 ÷ 3 1/2 = ? Its on khan academy rational number arithmetic.
Answer:
0.666666666
Step-by-step explanation:
(-2×0.5)÷(3×0.5)= 0.6666666
What is the vertex, opening, width, and axis of symmetry for f(x)=1/9(x-9)^2+3?
The vertex is (9, 3), the width of the parabola is 2/3 units, the axis of symmetry is the vertical line passing through x = 9.
What is quadratic function?f(x) = ax2 bx c, where x is the variable and a, b, and c are constants, is the formula for a quadratic function. It falls under the category of a degree two polynomial function.
In the given equation of a quadratic function:
f(x) = (1/9)(x - 9)² + 3
The vertex is (h, k), where h and k are the x-coordinate and y-coordinate of the vertex, respectively.
Here, the equation is in vertex form:
f(x) = a(x - h)² + k
Comparing this to the given equation, we can see that h = 9 and k = 3. Therefore, the vertex is (9, 3).
The opening of the parabola is upward because the coefficient "a" of the quadratic term (x - h)² is positive (1/9 in this case).
The width of the parabola can be determined using the formula:
w = 2√(a/k)
where a is the coefficient of the quadratic term and k is the y-coordinate of the vertex.
Plugging in the values, we get:
w = 2√[(1/9)/3] = 2/3
Therefore, the width of the parabola is 2/3 units.
The axis of symmetry is a vertical line that passes through the vertex and divides the parabola into two equal halves.The axis of symmetry's equation is as follows:.
x = h
Substituting h = 9, we get:
x = 9
Therefore, the axis of symmetry is the vertical line passing through x = 9.
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55 divided by 11 * 7 x (2 + 14)
560
1) PEMDAS so 2+14=16
2)55/11=5
3)5x7=35
4)35(16)=560
In a laboratory test of pus, the number of bacteria detected in the infected wound of a person on Wednesday is 2.4 x 10. If the antibiotic decreases the number of bacteria by 60% per day and it is started consuming since Wednesday, find the number of bacteria that will find in the laboratory test of coming Friday?
Step-by-step explanation:
We can approach this problem using exponential decay, where the number of bacteria decreases by 60% per day. Let N be the initial number of bacteria on Wednesday, then the number of bacteria on Friday can be calculated as:
N_Friday = N_Wednesday x (0.4)^2
where (0.4)^2 is the factor by which the number of bacteria decreases from Wednesday to Friday.
We are given that the number of bacteria on Wednesday is 2.4 x 10, so we can substitute this into the equation:
N_Friday = 2.4 x 10 x (0.4)^2
Simplifying this expression, we get:
N_Friday = 0.96
Therefore, the number of bacteria that will be detected in the laboratory test on Friday is 0.96. Note that the units are not specified in the question, so we assume that the number is given in some arbitrary units.
in a trendline based on five observations, if the average of y is 100 and the slope of the line is 22 then the intercept is:
c = -880
The intercept for a trendline based on five observations with an average of y = 100 and slope of the line = 22 is -880. This can be calculated using the formula for the equation of a straight line: y = mx + c, where m is the slope and c is the intercept. We know that the slope (m) is 22 and the average of y (the y-intercept) is 100. Plugging in the given values, we get:
100 = 22x + c
c = -880
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ELEPHANTS In the wild, an African elephant typically consumes 2.5 × 10² pounds of food a day. If there are approximately 4.15 × 10⁵ African elephants in the wild, how many pounds of food are consumed by African elephants in one day?
Answer:
Approximately 1.05 × 10⁹ pounds of food are consumed by African elephants in one day.
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 7 or 6\
Ms Kowal invests £6000 in a simple interest account.
After 5 years her investment has earned £450 interest.
What rate of interest does the account pay?
Answer:
We can use the simple interest formula I = Prt to find the rate of interest that the account pays. Here, P is the principal amount (£6000), t is the time period (5 years), and I is the interest earned (£450). Substituting these values in the formula gives us: 450 = 6000 * r * 5. Solving for r, we get r = 0.015 or 1.5%. Therefore, the account pays a simple interest rate of 1.5%
In P, answer the following:
A. Name a radius
B. Name a diameter
C. Name a cord
D. Name a central angle
E. Name a tangent to the circle
Answer:
radius=PC
diameter=AB
chord=AC
central angle=angleAPC
tangent=AD
y = cos x; dx/dt = 4 cm/sec.
The rate of change of y = cos x with respect to time is approximately -1.46 cm/sec.
How to find the value y = cos x; dx/dt = 4 cm/sec.This problem involves finding the rate of change of the dependent variable (y = cos x) with respect to the independent variable (x) at a given rate of change of the independent variable (dx/dt = 4 cm/sec).
Using the chain rule of differentiation, we have:
dy/dt = dy/dx * dx/dt
Taking the derivative of y = cos x with respect to x, we get:
dy/dx = -sin x
Substituting the given value of dx/dt = 4 cm/sec and the value of sin x can be obtained using the identity cos² x + sin² x = 1 and the given value of cos x = cos 0 = 0.95, we get:
dy/dt = dy/dx * dx/dt
= (-sin x) * 4
= (-√(1 - cos² x)) * 4 [Using the identity sin x = √(1 - cos² x)]
= (-√(1 - 0.95²)) * 4
≈ -1.46 cm/sec
Therefore, the rate of change of y = cos x with respect to time is approximately -1.46 cm/sec.
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Pls help due today…..
Please
The value of the sides and angle are;
a = 35. 58
c = 35. 93
x = 8 degrees
How to determine the valuesIt is important to note the different trigonometric identities and their ratios.
They are represented as;
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
sin θ = opposite/hypotenuse
From the diagram given, we have;
tan 82 = a/5
cross multiply the values
a = 7.1153(5)
a = 35. 58
Using the Pythagorean theorem;
c² = 35. 8² + 5 ²
Find the values
c² = 1265. 93 + 25
c = 35. 93
The sum of angles in a triangle is 180
90 + 82 + x = 180
x = 180 - 172
x = 8 degrees
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find the probability that when he enters the restaurant today it will be at least 5 minutes until he is served.
The probability that it will take at least 5 minutes until the student is served when he enters the restaurant today is 50%.
This is because there is an equal chance that it could take less than 5 minutes or more than 5 minutes until the student is served.
In probability terms, the student's wait time is a random variable with two possible outcomes - wait time less than 5 minutes, or wait time greater than or equal to 5 minutes. Since there is an equal chance of either outcome occurring, the probability of the wait time being greater than or equal to 5 minutes is 50%.
This is also known as the Law of Large Numbers.
To further illustrate this concept, imagine that the student flips a fair coin. The two possible outcomes of the coin toss are heads or tails. Since each outcome has an equal chance of occurring, the probability of either heads or tails is 50%.
In this case, the probability of the student's wait time being at least 5 minutes is the same as the probability of the coin toss being heads or tails, hence making the probability 50% or 0.5.
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What is the answer to
(P-q) (3)
Answer: 3P-3q
Step-by-step explanation:
1. Rearrange the terms so that the constants are on the left
(P-q) x 3 ( Is times 3)
3(P-q)
2. distribute
3(P-q)
3P-3q
3.Solution
3P-3q
assume that the test scores of a college entrance exam fits a normal distribution. the mean test score is 80, and the standard deviation is 5. what is the percentage of students scoring 83 or more in the exam?
Assume that the test scores of a college entrance exam fits a normal distribution. the mean test score is 80, and the standard deviation is 5. The percentage of students scoring 83 or more in the exam is 26.96%.
Assuming that the test scores of a college entrance exam fit a normal distribution with mean 80 and standard deviation 5, the z-score of a test score of 83 is calculated using the formula:
z = (x - μ) / σ
where z is the z-score,
x is the test score,
μ is the mean, and
σ is the standard deviation.
Substituting the values, we get:
z = (83 - 80) / 5 = 0.6
Using a z-table or a calculator, we find that the percentage of students scoring 83 or more is the area to the right of the z-score of 0.6 under the standard normal distribution curve.
This can be calculated as:
P(z > 0.6) = 1 - P(z < 0.6)
Using a z-table or a calculator, we can find that P(z < 0.6) = 0.7257
Therefore,P(z > 0.6) = 1 - P(z < 0.6) = 1 - 0.7257 = 0.2743
Multiplying by 100%, we get that the percentage of students scoring 83 or more in the exam is:
0.2743 × 100% ≈ 26.96%
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Tanya painted a mural that was 8 feet tall. The area of the mural was 224 square feet. What is the length of Tanya’s mural?
The length of Tanya's mural is 28 feet.
What is the length of Tanya’s mural?A rectangle is a 2-dimensional shape with parallel opposite sides equal to each other and four angles are right angles.
Area of a rectangle is expressed as;
Area = length × width
We know that the area of Tanya's mural is 224 square feet, and the height of the mural is 8 feet.
So we can use these values to find the length of the mural:
Area = length × width
224 = length × 8
To solve for the length, we can divide both sides of the equation by 8:
length = 224 ÷ 8
length = 28 feet
Therefore, the dimension of the length is 28 feet.
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A business owner applies for a credit card to cover $14,000 in emergency expenses. The credit card charges 16.99% annual interest compounded continuously. If no payments are made for 2 years, what will the balance on the card be, rounded to the nearest penny?
Credit card charges $19665.33 will the balance on the card be, rounded to the nearest penny.
What is interest in simple words?
When you borrow money, you must pay interest, and when you lend money, you must charge interest. The most common way to represent interest is as a percentage of a loan's total amount per year. The interest rate for the loan is denoted by this proportion.
Interest is the cost of borrowing money and is typically stated as a percentage, such an annual percentage rate (APR). Lenders may charge interest to borrowers for the use of their funds, or borrowers may charge interest to lenders for the use of their funds.
amount applied for = $14,000
interest rate = 16.99%
the balance after 2 years
P₀ = $1400
r = 16.99% = 0.1699
t = 2
[tex]P_{0} = P_{0}e^{rt}[/tex]
[tex]P_{2} = 1400e^{0.1699 * 2}[/tex]
≈ $19665.33
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mrs. jacobson is an inpatient in your hospital. her prescriber just ordered metformin 1,000 mg every 12 hours. how many metformin 500 mg tablets will you put in mrs. jacobson's med cart drawer for a 24-hour fill?
500 mg tablets will you put in mrs. jacobson's med cart drawer for a 24-hour fill.
Since the prescribed dose of metformin is 1,000 mg every 12 hours, Mrs. Jacobson needs to take metformin twice a day. Therefore, for a 24-hour fill, she needs a total of 2,000 mg of metformin.
Since the available strength of metformin is 500 mg, we can divide 2,000 mg by 500 mg to find out how many tablets Mrs. Jacobson needs to take.
2,000 mg ÷ 500 mg = 4 tablets
Therefore, you will put four metformin 500 mg tablets in Mrs. Jacobson's med cart drawer for a 24-hour fill.
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Help me Pleaaee it’s urgent
SOMEONE, PLEASE HELP IM BEGGING
What are the arc length of an arc with radius 18 inches and central angle 22°? Round to nearest hundredth or leave in terms of π. SHOW YOUR WROK
Therefore , the solution of the given problem of angles comes out to be the arc length of the given arc 6.96 inches.
What does an angle mean?The curved lines which make up the ends of a skew are divided by its highest and bottom walls using Cartesian measurements. There is a possibility who two poles will collide at an intersection. Another result of two objects interacting is an angle. They most closely mimic dihedral shapes. Two line beams can be arranged in different ways between their extremities to form a two-dimensional curve.
Here,
The following is the algorithm for an arc's length:
=> (Central angle in degrees / 360°) x (2r) equals Arc Length
where r denotes the circle's radius.
The radius and central angle in this problem are both specified as 18 inches and 22 degrees. To determine the curve length, we can use the following formula:
=> Arc Length = 2 * 18 * (2 *360)
=> (0.0611) × (36) in, where:
=> 6.96 in
To the nearest hundredth or left in terms of, the arc length of the given arc is therefore roughly 6.96 inches.
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a measure is reliable if it a) results in similar scores for the same person. b) contains a large amount of true score. c) contains little measurement error. d) all of these
The measure is reliable if it contains little measurement error. So the correct option is c) contains little measurement error.
What is a measure?A measure is a tool that is used to evaluate a person's traits, values, and performance in a given task or activity. A measure is used to obtain a score that can be used to evaluate a person's characteristics, abilities, or tendencies.
It is critical that the measure is reliable and valid to be able to use it to evaluate people. Reliability is one of the qualities of a good measure. Reliable measure A measure is reliable if it yields consistent scores across different samples of individuals or across different occasions for the same individual.
If a measure is reliable, it will yield similar scores for the same person every time it is administered. It is essential that a measure is reliable because if it is not, it will be difficult to determine if the score reflects the person's true characteristics or is a result of measurement error. Measurement error is a measure's inaccuracies, inconsistencies, or instability in its results.
Measurement error is a potential source of unreliable measurements. It is necessary to minimize measurement error to achieve reliable measurement. Measurement error can be reduced by ensuring that the measure is standardized, that the scoring is done consistently, and that the measure is free from external factors that may influence the results.
Hence, a measure is reliable if it contains little measurement error. So the correct option is c) contains little measurement error.
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