Keiko measures the circumference of three fruits.
Complete the table to show Keiko's measurements, the actual measurements, the
difference between the measurement and the actual, and the percent error.
CLEAR
CHECK
6 cm
81 cm
10%
50%
20%
10 cm
Apple
Grapefruit
Watermelon
15 cm
24 cm
Keiko's measurement
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
30 cm
Actual measurement
90 cm
5 cm
Absolute difference
DRAG AND DROP
AN ITEM HERE
9 cm
Percent error
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
DRAG AND DROP
AN ITEM HERE
no
Answers
The absolute measurement specifies the magnitude of the difference
which may be positive or negative.
The completed table is presented as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Reasons:
The formulas for the inputs in the table are;
Absolute difference = Keiko's measurement - Actual measurement
The difference between Keiko's measurement and the actual measurement can be positive or negative while the absolute difference is always positive
[tex]\displaystyle Percent \ error = \mathbf{\frac{Keiko's \ measurement - Actual \ measurement}{Actual \ measurement} \times 100}[/tex]
Therefore;
[tex]\displaystyle Percent \ error = \frac{ \mathbf{Absolute \ difference}}{Actual \ measurement} \times 100[/tex]
Which gives for Apple;
The actual measurement for Apple = 15 cm - 5 cm = 10 cm
[tex]\displaystyle Percent \ error \ for \ Apple = \frac{5 \, cm}{10 \, cm} \times 100 = \mathbf{50\%}[/tex]
Grapefruit column of the table;
Absolute difference for Grapefruit = |24 cm - 30 cm| = |-6 cm| = 6 cm
The absolute difference for Grapefruit = 6 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit = \mathbf{\frac{6 \, cm}{30 \, cm} \times 100} = 20\%[/tex]
Percent error for Grapefruit = 20%
Watermelon column of the table;
Keiko's measurement = Absolute difference + Actual measurement
Using the given options, we have, 90 - 9 = 81
Therefore, the difference = -9, while the absolute difference = 9
Keiko's measurement for Watermelon = 90 cm - 9 cm = 81 cm
[tex]\displaystyle Percent \ error \ for \ Grapefruit= \frac{9 \, cm}{90 \, cm} \times 100 = 10\%[/tex]
The completed table is as follows;
[tex]\begin{tabular}{|l|c|c|c|}&\textbf{Apple}&\textbf{Grapefruit}&\textbf{Watermelon}\\\textbf{Keiko's measurement}&15 cm&24 cm& \underline{81 cm}\\\textbf{Actual measurement}&\underline{10 cm}&30 cm&90 cm\\\textbf{Absolute difference}&5 cm&\underline{6 cm}&9 cm\\\textbf{Percent error}&\underline{50\%}&\underline{20\%}&\underline{10\%}\end{array}\right][/tex]
Learn more about percentage error here:
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Related Questions
What is the equation of the line that passes through the point (-3,-6) and (2,-2)
Answers
Answer:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Step-by-step explanation:
Hi there!
We want to find the equation of the line that passes through the point (-3, -6) and (2, -2)
There are 3 ways to write the equation of the line:
In slope-intercept form, which is y=mx+b, where m is the slope and b is the y interceptIn point-slope form, which is [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1,y_1)[/tex] is a pointIn standard form, which is ax+by=c, where a, b, and c are integer coefficients, but a and b cannot be zero, and a cannot be negativeThe easiest way would either be slope-intercept or point-slope form, but let's write the equation in slope-intercept form, since it's the most common way
So we'll need to find the slope
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything needed to find the slope, let's just label the values of the points to avoid any confusion:
[tex]x_1=-3\\y_1=-6\\x_2=2\\y_2=-2[/tex]
Now substitute these values into the formula. Remember that m is the value of the slope:
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-2--6}{2--3}[/tex]
Simplify the fraction:
m=[tex]\frac{-2+6}{2+3}[/tex]
Add the numbers together:
m=[tex]\frac{4}{5}[/tex]
So the slope of the line is 4/5
Let's plug it into the formula y=mx+b, since we now know the value of m
y=[tex]\frac{4}{5}[/tex]x+b
Now let's find b
As the equation passes through both (-3, -6) and (2, -2), we can use either point to help solve for b
Either point works, but let's take (2, -2) for instance
Substitute 2 as x and -2 as y
-2=4/5(2)+b
Multiply
-2=8/5+b
subtract 8/5 from both sides
-18/5=b
Now substitute -18/5 as b into the equation:
[tex]y=\frac{4}{5}x-\frac{18}{5}[/tex]
Hope this helps!
The smallest non-zero real number by which √27 should be multiplied so as to get a rational number is:
[tex]a) \: \sqrt{3} \\ b) \: \frac{1}{ \sqrt{3} } \\ c) \sqrt{13} \\ d) \sqrt{27} [/tex]
I doubt between a) and b).
Please solve this and give me the accurate answer. Step-by-step solution needed. Spam free answer required.
Thank you in advance.
Answers
Answer:
[tex]b)1/\sqrt{3}[/tex]Step-by-step explanation:
Lets verify one-by-one:
a)
[tex]\sqrt{3} *\sqrt{27} =\sqrt{3*27} =\sqrt{81} = 9[/tex]b)
[tex]1/\sqrt{3}*\sqrt{27} =\sqrt{1/3*27} =\sqrt{9} =3[/tex]c)
[tex]\sqrt{13} *\sqrt{27} =\sqrt{13*27} =\sqrt{39*9} =3\sqrt{39}[/tex]d)
[tex]\sqrt{27} *\sqrt{27} =(\sqrt{27})^2=27[/tex]As we see in three cases we get rational number but the smallest one is 3, this indicates the answer is option b.
Passes through (2, 3) at a gradient of 2
Answers
Answer:
y = 2x-1
Step-by-step explanation:
I'm guessing gradient of 2 means slope of 2
if line passes through (2,3) and has a slope of 2, we can use the slope intercept equation
slope-intercept (y=mx+b)
m is the slope and b is the y-intercept (which we are trying to find)
so far, we have a point and a slope so we can fill in x,y, and m
(3) = (2)(2) + b
3 = 4 + b
3-4 = 4-4 + b (to undo addition, you use subtraction so I minus 4 from each side)
-1 = b
we found b so we just take the (2,3) out of the equation substitute the x,y back into the equation
y = 2x - 1
Which of the following is equal to 722 grams? A. 0.722 kilogram B. 7,220 kilograms C. 722,000 kilograms D. 7.22 kilograms
Answers
Answer:
A
Step-by-step explanation:
Answer:
conversion from gram to kilogram
u divide the gram by 1000
which is 722/ 1000
=0.722kilograms
i.e answer is A
Find the volume of this prism.
8cm,9cm,11cm
V=0.5 time 8cm time 9cm time 11cm
V(answer)=396cm2
I hope it's right.
Answers
Answer:
792 cm³Step-by-step explanation:
Volume of prism:
V = lwhSubstitute dimensions:
V = 8*9*11 = 792 cm³Find the slope. simplify if needed.
(-10,5) and (2, -3)
Answers
how many 3/8´s are in 6
Answers
Dhdhdhdvdudhdvdbd
Identify the conclusion of the statement.
If AB is a segment, then it has two endpoints.
A. The segment has two endpoints.
B. If AB is a segment.
C. AB vis a segment.
D. Then, the segment has two endpoints.
Answers
Answer:
its b
Step-by-step explanation:
if [tex]a_{1}[/tex]=10 and [tex]a_{n}[/tex]=[tex]2a_{n-1}[/tex] then find the value of [tex]a_{5}[/tex]
Answers
Answer:
a₅ = 160
Step-by-step explanation:
Using the recursive rule and a₁ = 10 , then
a₂ = 2a₁ = 2 × 10 = 20
a₃ = 2a₂ = 2 × 20 = 40
a₄ = 2a₃ = 2 × 40 = 80
a₅ = 2a₄ = 2 × 80 = 160
2x⁴-6x²+3 divided by 2x-6
Answers
Step-by-step explanation:
answer is 552€₹%+×::!^*I HOPE ITS CORRESCTHow Long will it take each student plan to be paid down to $1000?
Answers
The corresponding answers for each student plan are:
plan A: 15 years
plan B: 5 years
plan C: 10 years
plan D: 9 years
Thus, first, the graph corresponding to each of the plans must be analyzed. The Y-axis corresponds to money and the x-axis corresponds to the time in years.
Thus, in-plane A, it can be observed that to reach the desired value, the graph will be projected in exponential, so it will be close to 15 years. In plan B, this projection will be reached around 5 years. In plans C and D, this projection will be 10 years and 9 years respectively.
Learn more: brainly.com/question/14355665
Identify two opposite rays.
Answers
Answer:
B and D
Step-by-step explanation:
opposite rays 180° to each other
here B and D are opposite rays
Answer:
B and D
Step-by-step explanation:
Each opposite ray need 180 degree.
Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!
Answers
The proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
The given figure showing ΔABE ≅ ΔDCE is in the image attached below.
We know that:
E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.
E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.
∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.
This means that ΔAEB and ΔDEC have:
two pairs of congruent sides - AE ≅ ED and BE ≅ EC
one pair of congruent included side - ∠AEB ≅ ∠CED
Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.
If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.
Therefore, AB∥CD by the CPCTC Theorem.
Thus, the proof that shows that AB∥CD in the diagram given is:
1. E is the midpoint of AD --> Given
2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint
3. E is the midpoint of BC --> Given
4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint
5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem
6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem
7. AB∥CD ---> CPCTC Theorem.
Learn more about the CPCTC Theorem on:
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5.) Which is the best deal? *
$25 for 5 pizzas
$32.48 for 7 pizza
$27.45 for 3 pizzas
$28.74 for 4 pizzas
Answers
Answer:
$27.45 for 3 pizzas
In my opinion
Answer:
$32.48 for 7 pizzas
Step-by-step explanation:
25 divided by 5 = $5
32.48 divided by 7 = $4.64
27.45 divided by 3 = $9.15
28.74 divided by 4 = $7.185
a protractors is used on an angle one ray of the angle is 46 degrees and the other way is a 95 degrees what is the measure of the angle
Answers
141 degrees hope this helps u
The measure of the angle will be 141°. Then the correct option is B.
What is an angle?The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.
The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
A protractor is used on an angle one ray of the angle is 46 degrees and the other way is 95 degrees.
The diagram is shown below.
Then the measure of the angle will be given as,
⇒ 46° + 95°
⇒ 141°
The measure of the angle will be 141°.
Then the correct option is B.
More about the angled link is given below.
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What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole number? (2 points)
1
1.5
2
2.5
Answers
Answer:
Hello!
After reviewing the question you have provided, I came up with the correct answer:
C) 2
Step-by-step explanation:
Firstly:
As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.
When you round the two numbers you should come up with "3-1= ____".
This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.
So 3.2 rounds to 3
And 1.4 rounds to 1.
With the new equation you can then solve "3-1= 2"!
Hope this helps!
SOLVE 11 AND 10 FOR POINTS NO LINKS ABSOLUTELY ALSO FOR 11 10 Answers may vary, however the
PRODUCT of the factors must equal......
Answers
Answer:
10. (-1, 7), (-7, 1)
11. (8, 4), (16, 2)
Step-by-step explanation:
10.Let x and y represent the two missing factors. Then you have ...
-3xy = 21
xy = -7 . . . . . . . divide by -3
Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.
Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.
__
11.If the two factors of interest are x and y, then the product of the three factors is ...
(-3/4)xy = -24
xy = (-4/3)(-24) = 32
Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...
(8, 4), (16, 2), (-4, -8)
There are an infinite number of possibilities.
A scientist collected two sample sets of snowfall data. Which statistic should he use to compare the spread of the two sets of data? median mode mean standard deviation.
Answers
Answer:
standard deviation on edge
Step-by-step explanation:
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
The standard deviation is the statistic that should be used to compare the spread of two sets of data.
The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
A larger standard deviation indicates that the data points are more spread out, while a smaller standard deviation indicates that the data points are more tightly clustered around the mean.
By comparing the standard deviations of the two sample sets of snowfall data, the scientist can determine which set has a larger or smaller spread of data.
Thus,
The statistic should he use to compare the spread of the two sets of data is the standard deviation.
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You spin the spinner once. What is P(factor of 90)?
Answers
Answer:
1
Step-by-step explanation:
d5 7yvjn3f5crc6tv6tvt7gv7g
helppp yalll my mind is closed
Answers
Answer:
16
Step-by-step explanation:
(Trust me)
3. Solve 7x - 13 = 3x - 1
[Write the properties of equality for each step}
Answers
-3x -3x (subtraction)
4x-13=-1
+13 +13 (addition)
4x=12
/4 /4 (divide)
x=3
Hope this helps!!
Part A: Rhett made $250 washing cars with his mobile car wash company. He charges $70 per car and earned $50 in tips. Write an equation to represent this situation. (4 points)
Part B: Scarlett made a profit of $250.00 with her mobile car wash company. She charged $75.00 per car wash and received $35.00 in tips, but also had to pay $5.00 in cleaning supplies per car wash. Write an equation to represent this situation. (4 points)
Part C: Explain how the equations from Part A and Part B differ. (2 points)
Answers
Answer: 250=70x+50 For A
Step-by-step explanation:
Answer:
Part A 70x+50=250
Part B(75x + 35) = 250 - 5x
Step-by-step explanation:
Twice the difference of a number 8 equals 5
Answers
Answer:
2(n-8) = 5
Step-by-step explanation:
I'm assuming that its supposed to say "a number and 8"
Answer:
x=10.5
Step-by-step explanation:
x will be a number
2(x-8)=5 --> I'm assuming your question is " twice the difference of a number and 8 equals 5.
Solving
2(x-8)=5
2x-16=5 --> distrubute the 2--> 2*x = 2x and 2*-8 = 16
2x=16+5--> add 16 to other side of x
2x=21--> add like terms
2x / 2 =21 / 2--> single out x
x=10.5 --> 21/2 --> just divide
Rico wants to buy the new Madden NFL game. It costs $60.00. He has $24.78 in
his bank account. He will also get $20 for mowing his neighbors lawns. ACreate a
number line to represent the situation. ALSO how much more does he need in
order to buy the game? *
A. Create a number line to represent the situation.
B. How much more does he need in order to buy the game?
Your answer
.
Answers
Answer:
a.
Step-by-step explanation:
its the right way
Which of the following ordered pairs represent points that lie on a horizontal line?A.(−2, 3), (−5, 3)B.(2, 3), (−2, 4)C.(−2, 3), (−2, 4)D.(2, −3), (5, 3)
Answers
Answer:
(−2, 3), (−5, 3) lie on a horizontal line. The y value is 3 for both values of x. The line runs parallel to the x axis and 2 steps above.
Step-by-step explanation:
The results of the tests run on the samples are shown in the following table.
Firm 1 379 376 353 363 359 381 348 372 363
Firm 2 364 356 361 360 351 353 354 358 355 362
Does the sample information support the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2 ? Test at the 0.05 level of significance.
Answers
Using the t-distribution, it is found that since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
At the null hypothesis, we test if the average strength of corrugated fiberboards from Firm 1 is not three pounds per square inch higher than that from Firm 2, that is, we test if the subtraction of the means is at most 3, hence:
[tex]H_0: \mu_1 - \mu_2 \leq 3[/tex]
At the alternative hypothesis, we test if the difference is more than 3, that is:
[tex]H_1: \mu_1 - \mu_2 > 3[/tex]
The mean and the standard deviation for both tests are:
[tex]\mu_1 = 366, s_1 = 11.67[/tex]
[tex]\mu_2 = 357.4, s_2 = 4.27[/tex]
The standard errors are:
[tex]s_1 = \frac{11.67}{\sqrt{9}} = 2.9175[/tex]
[tex]s_2 = \frac{4.27}{\sqrt{10}} = 1.35[/tex]
The distribution of the difference has mean and standard deviation given by:
[tex]\overline{x} = \mu_1 - \mu_2 = 366 - 357.4 = 8.6[/tex]
[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{2.9175^2 + 1.35^2} = 3.2147[/tex]
The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
In which [tex]\mu = 3[/tex] is the value tested at the null hypothesis.
It's value is:
[tex]t = \frac{\overline{x} - \mu}{s}[/tex]
[tex]t = \frac{8.6 - 3}{3.2147}[/tex]
[tex]t = 1.742[/tex]
The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with 9 + 10 - 2 = 17 df and a significance level of 0.05 is [tex]t^{\ast} = 1.7396[/tex]
Since the test statistic is greater than the critical value, the sample information supports the suspicion that the average strength of corrugated fiberboards from Firm 1 is three pounds per square inch higher than that from Firm 2.
A similar problem is given at https://brainly.com/question/25562298
also, this one I have an answer but not rly sure so um help
Answers
Answer:
h(x) = - 2x² + 3
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Here the shift is 7 units up , then
h(x) = f(x) + 7 = - 2x² - 4 + 7 = - 2x² + 3
Plzzzzz help meeeeeeee plzzzzz
Answers
Answer:
1) The profit made is $560.
2) Don't know sorry!!
3) A student will pay $1134 for a calculator.
Step-by-step explanation:
rewriting subtraction into addition
-3-6=
Answers
Answer: 6+3 = 9
Step-by-step explanation:
-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.
find three rational numbers between -1/2 and 1/2
Answers
Answer:
-1/4, 1/8 and 1/5.
Step-by-step explanation: