The distance around a neighborhood is 6 miles. When Sam measured it with an
odometer, the distance was 5. 52 miles. What is the percent of error of the
measurement?
Answers
The percent of error in the measurement is 8%. This means that the measured value of 5.52 miles is 8% less than the actual distance of 6 miles.
To find the percent of error, we need to calculate the difference between the measured value and the actual value, divide that by the actual value, and then multiply by 100 to convert to a percentage.
Actual distance around the neighborhood = 6 miles
Measured distance around the neighborhood = 5.52 miles
Difference = Actual distance - Measured distance
Difference = 6 miles - 5.52 miles
Difference = 0.48 miles
Percent of error = (|Difference| / Actual distance) x 100%
Percent of error = (|0.48| / 6) x 100%
Percent of error = 0.08 x 100%
Percent of error = 8%
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Related Questions
"Another name for Phase 5: Systems Implementation is ________.
A) Feasibility
B) Conversion
C) Analysis
D) Development"
Answers
Phase 5: The system of implementation is conversion.
Option B is the correct answer.
We have,
Phase 5 of the system development life cycle is commonly referred to as "Conversion" or "Systems Implementation."
During this phase,
The focus shifts from planning and designing the system to actually implementing it.
This phase involves the conversion of the old system to the new system, which includes activities such as data conversion, software installation, hardware setup, user training, and system testing.
The term "Conversion" is used because it signifies the transition from the old system to the new system.
It involves migrating data, processes, and operations from the existing system to the new system.
This phase ensures that the newly developed system is successfully integrated into the organization and becomes fully operational.
Thus,
Phase 5: The system of implementation is conversion.
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What is the perimeter of the triangle?
units
Stuck? Watch a video or use a hint.
Report
Answers
seven and three thousands in standard from
Answers
Answer:
Hope this helps :)
If it is seven and three thousandths then the answer would be...
7.003
This is because after the decimal the first place is tenths, then, hundredths, and lastly, thousandths. So the 3 would be in the thousandths place. Also, 7 is in the ones place which is before the decimal.
Solve the proportion 26/z = 13/22
Answers
Answer:
z = 44
Step-by-step explanation:
26/z = 13/22
Using cross products
26 * 22 = 13*z
Divide each side by 13
26/13 * 22 = 13z/13
2 *22 =z
44 =z
Answer:
Z=44
To solve this proportion, you have to isolate z. You have to do what you do on one side of the equal sign to the other as well.
A bag contains 16 cards numbered 1 through 16. A card is randomly chosen from the bag. What is the probability that the card has a multiple of 3 on it?
Answers
Answer:
Step-by-step explanation:
Probability is expressed as
Number of favorable outcomes/total number of possible outcomes
From the information given,
Total number of outcomes = 16
Starting from 1, the multiples of 3 between 1 and 16 are 3, 6, 9, 12 and 15
This means that the number of favorable outcomes is 5
Therefore, the probability that the card has a multiple of 3 on it is
5/16 = 0.3125
How do you write 31/25 as a decimal?
Answers
To write 31/25 as a decimal, we can divide 31 by 25 using long division or a calculator and we get 1.24
what is decimal?A decimal is a way of expressing a number as a fraction of one.
What is round off?Rounding off is a mathematical process that involves replacing a number with an approximate value that is easier to work with. When you round off a number, you choose the nearest whole number, ten, hundred, etc., depending on the place value you are rounding to.
For example, if you are asked to round the number 3.6 to the nearest whole number, you would round it off to 4, because 4 is the nearest whole number to 3.6.
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In a hypothesis test for population proportion, you calculated the p-value is 0.01 for the test statistic, which is a correct statement of the p-value?
Group of answer choices
a)The p-value indicates that it is very rare to observe a test statistics equally or more extreme when the null hypothesis is true.
b)The p-value indicates that it is very likely to observe a test statistics equally or more extreme when the null hypothesis is true.
c)The p-value is calculated assuming the alternative is true.
Answers
The p-value is 0.01, which means that it is very rare to observe a test statistic that is equal to or more extreme than the one that was actually observed. SO the option a is correct.
In the given question, in a hypothesis test for population proportion, we calculated the p-value is 0.01 for the test statistic, we have to find which statement of the p-value is correct.
The p-value is the probability of obtaining results as extreme as, or more extreme than, the observed results of a statistical hypothesis test, assuming that the null hypothesis is true. A small p-value (typically ≤ 0.05) indicates strong evidence against the null hypothesis, so you reject the null hypothesis.
A large p-value (> 0.05) indicates weak evidence against the null hypothesis, so you fail to reject the null hypothesis.
If the null hypothesis is correct, the p-value is the likelihood that a test statistic will be equal to or more extreme than the one that was actually observed. Given that the null hypothesis is correct in this situation, the p-value of 0.01 indicates that it is extremely unusual to see a test statistic as dramatic as the one that was actually seen. This shows that the alternative hypothesis is more likely to be correct and that the null hypothesis is probably not true.
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The National Football League has performed a study in which the total yards gained by teams in games was used as an independent variable to explain the variation in total points scored by teams during games. The points scored ranged from 0 to 57 and the yards gained ranged from 187 to 569. The following regression model was determined:
Answers
A. For every one point scored, the predicted number of yards gained increased by 0.12, on average.
That's not correct, what we have is that for each yard gained by the teams we have an increase of 0.12 points scored.
B. For every one yard gained, the predicted number of points increased by 0.12, on average.
That's correct and is the interpretation for the slope in this case.
C. For every one yard gained, the predicted number of points scored decreased by 12.3, on average.
That's not true the correct interpretation for the intercept is that the points for a team that gain 0 yards it's on average 12.3 points.
D. For every one point scored, the predicted number of points scored, decreased by 12.3, on average.
That's not true the correct interpretation for the intercept is that the points for a team that gain 0 yards it's on average 12.3 points.
Some notation
x represents the variable "total yards gained by teams in games " and the possible values for x are between 187 to 569
y represents the variable "total points scored by teams" and the possible values for y are between 0 to 57
We conduct a linear regression model in order to explain the variable y in terms of the variable x.
The solution to the problem
For this case we need to calculate the slope with the following formula:
Where:
And the slope would be:
And we can find the intercept using this:
So the line would be given by:
And that was the output provided. Now we need to analyze the following statements:
A. For every one point scored, the predicted number of yards gained increased by 0.12, on average.
That's not correct, what we have is that for each yard gained by the teams we have an increase of 0.12 points scored.
B. For every one yard gained, the predicted number of points increased by 0.12, on average.
That's correct and is the interpretation for the slope in this case.
C. For every one yard gained, the predicted number of points scored decreased by 12.3, on average.
That's not true the correct interpretation for the intercept is that the points for a team that gain 0 yards it's on average 12.3 points.
D. For every one point scored, the predicted number of points scored, decreased by 12.3, on average.
That's not true the correct interpretation for the intercept is that the points for a team that gain 0 yards it's on average 12.3 points.
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Each child in a certain class is required to have school supplies of 1 notebook and 2 pencils. One notebook costs $1.09 and one pencil costs $0.59. With $15, what is the maximum number of children that can be provided with the required supplies? (Assume no tax.) Will mark Brainlist
Answers
Answer:
6 children
Step-by-step explanation:
Given
\(1\ Pencil = \$0.59\)
\(1\ Notebook = \$1.09\)
Required
Determine the number of students that can get pencils and notes worth $15
First, we need to calculate the amount that can be allotted to a child
\(1\ child= 1\ Notebook + 2\ Pencils\)
\(1\ child= 1 * \$1.09 + 2 * \$0.59\)
\(1\ child= \$1.09 + \$1.18\)
\(1\ child= \$2.27\)
From the given parameters, we have that
\(n\ children= \$15\)
Where n is the number of child
Represent both as ratios;
\(1 : 2.27 = n : 15\)
Convert to division
\(\frac{1}{2.27} = \frac{n}{15}\)
Multiply both sides by 15
\(15 * \frac{1}{2.27} = \frac{n}{15} * 15\)
\(\frac{15}{2.27} = n\)
\(6.608 = n\)
\(n = 6.608\)
Because "a child" is discrete, we have to round down the above figure to
\(n = 6\)
Hence, the maximum number of children that can be provided with supplies worth $15 is 6
If we are told that ab= 0, then what can we infer by the zero product property we know =0 or. =0
Answers
When ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
We are given that ab = 0, where a and b are variables or numbers.
According to the zero-product property, if the product of two factors is equal to zero, then at least one of the factors must be zero.
In our case, we have ab = 0. This means that the product of a and b is equal to zero.
To satisfy the condition ab = 0, at least one of the factors (a or b) must be zero. If either a or b is zero, then when multiplied with the other factor, the product will be zero.
It is also possible for both a and b to be zero, as anything multiplied by zero gives zero.
Therefore, based on the zero-product property, we can infer that either a = 0 or b = 0 when ab = 0.
In summary, when ab = 0, the zero-product property tells us that at least one of the factors (a or b) must be zero in order for the equation to hold true.
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At 11:30 a.m. the bottle is 1/4 of the way full. At what time will the bottle be 1/2 full?
Answers
Answer:
depending how what kind of bottle I think
In ΔMNO,
m
∠
M
=
(
6
x
+
1
)
∘
m∠M=(6x+1)
∘
,
m
∠
N
=
(
3
x
−
10
)
∘
m∠N=(3x−10)
∘
, and
m
∠
O
=
(
x
+
19
)
∘
m∠O=(x+19)
∘
. Find
m
∠
N
.
m∠N.
Answers
Answer:
Step-by-step explanation:
All the angles in a triangle add up to 180°
So you need to add up all your angles and set them equal to 180°
angleM + angleN + angleO=180
(6x+1) + (3x-10) + (x+19)= 180
We don't actually need all these parentheses; this is all just addition and subtraction.
6x+1+3x-10+x+19 =180
Add all the x terms together. Add all the constants (plain numbers) together.
10x + 10 =180
Subtract 10 from both sides
10x =170
Divide by 10.
x = 17
But you need one more step because if you reread the question, you are being asked for the measure of angle N, which is 3x - 10
3*17 - 10 =
51 - 10 =
41
The measure of angle N is 41°
which graph of ordered pais shows a proportional relationship? i need help lol
Answers
What is the rate of change for a linear function containing the points 2,12 and 6,6?
Answers
Answer:
- \(\frac{3}{2}\)
Step-by-step explanation:
the slope m between the 2 points is a measure of the rate of change
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (2, 12 ) and (x₂, y₂ ) = (6, 6 )
m = \(\frac{6-12}{6-2}\) = \(\frac{-6}{4}\) = - \(\frac{3}{2}\) ← rate of change
Answer all sub-questions:
a) Compare and contrast the "Monte Carlo" and "Historical" simulation as tools for measuring the risk. [11 grades]
b) Why in risk analysis the right choice of the probability distribution that describes the risk factor's values it is of paramount importance? Discuss [11 grades] [11 grades]
c) Describe how statistics are used in risk management.
Answers
Monte Carlo and Historical simulation are widely used tools for risk measurement, generating random inputs based on probability distribution functions. Proper probability distributions are crucial for risk analysis, while statistics aids in risk management by obtaining probabilities and assessing results.
a) Monte Carlo and Historical simulation are the most extensively used tools for measuring risk. The significant difference between these two tools lies in their inputs. Monte Carlo simulation is based on generating random inputs based on a set of probability distribution functions. While Historical simulation, on the other hand, simulates based on the prior actual data inputs.\
b) In risk analysis, the right choice of probability distribution that explains the risk factor's values is of paramount importance as it can give rise to critical decision making and management of financial risks. Probability distributions such as the Normal distribution are used when modeling the return of an asset, or its log-returns. Normal distribution in financial modeling is essential because it best describes the distribution of price movements of liquid and high-frequency assets. Nonetheless, selecting the wrong distribution can lead to wrong decisions, which can be quite catastrophic for the organization.
c) Statistics are used in Risk Management to assist in decision-making by helping to obtain the probabilities of potential risks and assessing the results. Statistics can provide valuable insights and an objective evaluation of risks and help us quantify risks by considering the variability and uncertainty in all situations. With statistics, risks can be easily identified and properly evaluated, and it assists in making better decisions.
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Chadwick drives into the city to buy the most recent issue of black panther at a comic book store. On the way there he drove 15 mph. With less traffic on his return home, he drove 25 mph. If the entire travel time took him four hours, how long did it take him to get to the comic book store? Enter your answer in hours and rounded to one decimal place if needed.
Answers
Since the rule of distance is
\(d=v\times t\)Where v is the speed and t is the time
Since the distance from home to the book store is equal to the distance from the book store to the home, then
Let the distance = d
Since the speed in the going way is 15 mph, then
\(t_1=\frac{d}{15}\)Since the speed in the back way is 25 mph, then
\(t_2=\frac{d}{25}\)Since the time of the entire trip is 4 hours, then
\(t_1+t_2=4\)Substitute the values of t1 and t2
\(\frac{d}{15}+\frac{d}{25}=4\)Multiply both sides by 75 (L.C.M of 15 and 25)
\(\begin{gathered} \frac{d}{15}(75)+\frac{d}{25}(75)=4(75) \\ 5d+3d=300 \\ 8d=300 \end{gathered}\)Divide both sides by 8
\(\begin{gathered} \frac{8d}{8}=\frac{300}{8} \\ d=37.5m \end{gathered}\)Substitute d by 37.5 in t1 to find it
\(\begin{gathered} t_1=\frac{37.5}{15} \\ t_1=2.5h \end{gathered}\)It took him 2.5 hours to get to the book store
Joyce paid $40.00 for an item at the store that was 20 percent off the original price. What was the original price?
$ ?
Give your answer to the nearest cent.
Answers
Answer:
if I'm correct it would be 200
Step-by-step explanation:
0.20 x 200 = 40
Answer:
Step-by-step explanation:
20% off means the 20% was taken away from the original price which will have us remaining with 80%
80% = 40
100% (original price) = 100% x 40
80%
=$ 50.00
\(\:\sqrt[4]{X^4}\) Is this a polynomial or not?
I need a brief explanation
Answers
Answer:No
Step-by-step explanation:
It is not a polynomial because the definition of a polynomial states is an equation or statement that consists of many terms this expression clearly only has one term.
the histograms below shows the randomization test results of 1,000 and 100,000 randomizations showing the distribution of r's. how was each randomization done?
Answers
In general, randomization tests involve permuting or shuffling the data in order to create a null distribution under the assumption of no relationship between variables.
This is typically done by randomly reassigning the values of one variable while keeping the other variable fixed, then calculating the test statistic (in this case, the correlation coefficient "r") based on the shuffled data.
This process is repeated many times to create the distribution of the test statistic under the null hypothesis. The resulting histogram shows the frequency or density of the test statistic values obtained from the randomizations. The number of randomizations performed can vary depending on the study design and desired precision.
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Hexagon B is an enlargement of hexagon A by a scale factor of 5.2
If the area of A is 8 cm^2, calculate area of B
Answers
Answer:
216.32 cm²
Step-by-step explanation:
Given that the scale factor is 5.2 then the area scale is
(5.2)² , thus
area of B = area of A × (5.2)² = 8 × (5.2)² = 216.32 cm²
What is the solution to the equation shown below?
2
32 +5=1
A) X= -6
B) X= 4
C) X= -4.5
D) X= 9
Answers
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2/3x+5=1 Equation
Step 2
2/3x+5=1 Simplify
2/3x=-4
Step 3
2/3x=-4 Simplify
answer
x=-6
use point slope form to write the equation of a line that passes through the point (17,-7) with slope - 1/2
Answers
Answer:
y + 7 = -1/2 ( x - 17)
Step-by-step explanation:
y-y₁=m(x-x₁)
\(x_{1\\} = 17\)
\(y_{1}\) = -7
y - (-7) = -1/2(x - 17)
y + 7 = -1/2(x -17)
Solve
\(0.1 = \sqrt{r} \)
Solve for r.
Write your answer as a decimal
r=______
Answers
Answer:
\(r = 0.01\)
Step-by-step explanation:
In order to find r we have to square both sides of the equation
\(0.1 = \sqrt{r} \\ {0.1}^{2} = { \sqrt{r} }^{2} \)
The *square root* sign cancels out the *squared* sign therefore:
\( {0.1}^{2} = r \\ 0.01 = r\)
1. Resolva e classifiuge os Sistemas em SPD, SPI e SI a)
-7x + 3y = 23 15x - 2y = 24
b)
(2x - y + 3z = -4
-x + 2y z = 5 4x - 2y + 6z = -8
c)
x+y+z=6
3x +2y-z = 4 5r4y+32=6
(e)
(-x+y+z=6 -x + 2y + 2z = 9 2x + y + 3z = 11
Answers
In a blind taste test, 25 people chose brand A, 15 people chose brand B, and 10 people chose
brand C. There are 200 more people to be surveyed. Based on the data, which is most likely.
to happen?
About 10 more people will choose brand B than brand C.
About 30 more people will choose brand C.
About 30 more people will choose brand A than brand B.
About 100 more people will choose brand A.
Answers
Answer: About 100 more people will choose brand A.
Step-by-step explanation:
Number of people who chose brand A = 25
Number of people who chose brand B = 15
Number of people who chose brand C = 10
Total number of people = 25+10+15 = 50
Since there are 200 people left, we'll equate them based on the data given and this will be:
For A = 25/50 × 200 = 100
For B = 15/50 × 200 = 60
For C = 10/50 × 200 = 40
Therefore, about 100 more people will choose brand A.
Answer:
About 100 more people will choose brand A
Step-by-step explanation:
i ready:)
B= ( , )
C= ( , )
D=( , )
Answers
The coordinate of points B, C, and D are B(3,-5), C(3,5), and D(0,-1).
What are coordinates?A pair of numbers that employ the horizontal and vertical distinctions from the two reference axes to represent a point's placement on a coordinate plane.
As per the given coordinate A(-2,-5).
Since, AB = 5 and horizontal thus B(-2 + 5,-5) = B(3,-5)
Since, BC = 10 and the vertical line thus, C(3,-5+10) = C(3,5)
The equation of line AC will be as follows,
y + 5 = [(5 + 5)/(3 + 2)](x + 2)
y + 5 = 2(x + 2)
y = 2x - 1
At x = 0
y = -1 so D(0,-1)
Hence "The coordinate are B(3,-5), C(3,5), and D(0,-1)".
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PLEASE HELP ME! THANK YOU!
Answers
9514 1404 393
Answer:
-6
Step-by-step explanation:
The average rate of change on the interval [1, 3] is ...
m = (g(3) -g(1))/(3 -1) = (-20 -(-8))/2 = -6
The average rate of change is -6 on the interval from 1 to 3.
A line passes through the points (0, -8) and (5, 10). What is its equation in slope-intercep
form?
Answers
Step-by-step explanation:
For us to write the equation for this line, we need to (1) find the slope of the line, and (2) use one of the points to write an equation:
The question gives us two points, (0, -8) and (5, 10), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (10 - (- 8)) ÷ (5 - 0)
= ¹⁸/₅
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:
⇒ y - (-8) = ¹⁸/₅ (x - 0)
we could also transform this into the slope-intercept form ( y = mx + c)
since y - (-8) = ¹⁸/₅ (x - 0)
⇒ y + 8 = ¹⁸/₅ x
∴ y = ¹⁸/₅ x - 8
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
how much variance between two variables has been explained by a correlation of .9?
Answers
A correlation of .9 indicates that 81% of the variance between two variables has been explained.
Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.
To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:
R^2 = (0.9)^2 = 0.81
Thus, a correlation of 0.9 explains 81% of the variance between the two variables.
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Simplify: 7 5/8 + 1 1/6
Answers
Answer:
8 19/24
Step-by-step explanation:
\(7 \frac{5}{8} + 1 \frac{1}{6}\)
Find the LCM of the fractions. This would be 24.
Multiply the numerator and denominator of 7 5/8 by 3.
Multiply the numerator and denominator of 1 1/6 by 4
\(7\frac{15}{24} + 1 \frac{4}{24} = 8\frac{19}{24}\)