Using the center value with error method, the measured value with uncertainty can be written as:
21.4 ± 2.2 cm (center value: 21.4 cm, error: ±2.2 cm)
23.8 ± 2.2 cm (center value: 23.8 cm, error: ±2.2 cm)
19.3 ± 2.2 cm (center value: 19.3 cm, error: ±2.2 cm)
19.4 ± 2.2 cm (center value: 19.4 cm, error: ±2.2 cm)
23.9 ± 2.2 cm (center value: 23.9 cm, error: ±2.2 cm)
This means that the true value of the length measurement is expected to fall within the range of the measured value ± the error, with a level of confidence determined by the size of the error.
The center value with error method is a way to estimate the uncertainty of a measurement based on a set of repeated measurements. The central value is the average of the measurements, and the error is estimated as half of the range of the measurements.
In this case, the student took five measurements of length with a centimeter ruler, and the measurements were 21.4 cm, 23.8 cm, 19.3 cm, 19.4 cm, and 23.9 cm. The central value is the average of the measurements:
Central value = (21.4 + 23.8 + 19.3 + 19.4 + 23.9) / 5 = 21.96 cm
The range of the measurements is the difference between the largest and smallest measurement:
Range = 23.9 cm - 19.3 cm = 4.6 cm
The error is estimated as half of the range:
Error = 4.6 cm / 2 = 2.3 cm
Therefore, the measured value with uncertainty using the center value with error method is:
Measured value = 21.96 ± 2.3 cm
This means that the true value of the length is likely to be between 19.66 cm and 24.26 cm, with a best estimate of 21.96 cm.
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Can you prove these triangles are congruent?
Answer:
yes you can
do you want me to
Step-by-step explanation:
Which of the following equations are models for the ordered pairs shown in the table?
A. Y=4X+1
B. Y=1/4 X+1
C. Y=-4X+1
D. Y=-1/4 X+1
To go to school each day, Myra walks 20 yards due south to the bank then 48 yards east.
Answer: 68
Step-by-step explanation:
-2/3*3/5+5/2-3/5*1/6
Answer:
2
don't forget to follow meThe route begins stn 0 00 at a point with coordinates of n 10000. 00 and e 10000. 00, what are the coordinates for the center of curvature?
The coordinates for the center of curvature are (N 9999.9975, E 10000.0000).
The reason for this is that in a curved route, the center of curvature is the point around which the curve is formed. It lies on a perpendicular bisector of the tangent at the starting point.
In this case, the starting point has coordinates of N 10000.00, E 10000.00. To find the center of curvature, we need to move along the perpendicular bisector of the tangent.
Since the starting point is at the coordinates N 10000.00, E 10000.00, we can determine that the midpoint of the tangent line is at N 9999.9975, E 10000.00. This midpoint lies on the perpendicular bisector.
Thus, the center of curvature will also have a longitude of E 10000.00 and a latitude slightly below N 10000.00, which gives us the coordinates (N 9999.9975, E 10000.0000).
This point acts as the pivot for the curved route and helps determine the trajectory and shape of the curve.
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2. You have $26,000 and want to have $35,100 in 6 years. The interest is compounded monthly.What named interest rate do you need to meet your goal? Be sure to show the equation you used to find the solution and show all your work. Round the interest rate to the nearest hundredth of a percent.
We have an investment that is compounded monthly.
The initial value PV is 26,000 and the final value FV is 35,100.
The numberof periods is n=6 years and th numbers of subperiods in a year is m=12, as it is compounded monthly.
Our unknown is the nominal annual interest rate (r).
We can relate all this variables as:
\(FV=PV=(1+\frac{r}{m})^{n\cdot m}\)If we rearrange we get:
\(\begin{gathered} \frac{FV}{PV}=(1+\frac{r}{m})^{n\cdot m} \\ \sqrt[nm]{\frac{FV}{PV}}=1+\frac{r}{m} \\ \frac{r}{m}=\sqrt[nm]{\frac{FV}{PV}}-1 \\ r=m\cdot(\sqrt[nm]{\frac{FV}{PV}}-1) \end{gathered}\)Then, we can find the value of r replacing with the known values as:
\(\begin{gathered} r=12\cdot(\sqrt[6\cdot12]{\frac{35100}{26000}}-1) \\ r=12\cdot(\sqrt[72]{1.35}-1) \\ r\approx12(1.0042-1) \\ r\approx12\cdot0.0042 \\ r\approx0.0501 \\ r=5.01\% \end{gathered}\)Answer: the annual nominal interest rate is 5.01%
six times a number plus 4 is 16. what is that number?
Answer:
12
Explanation:
6x2: 12
16-12=4
there are 18 major sea islands in the queen elizabeth islands of canada. there are 15 major lakes in saskatchewan, canada. (a) if you are planning a trip to visit one of these islands, followed by one of these lakes, how many different trips could you make? (b) if you plan to visit either one of these lakes or one of these islands, how many different visits could you make?
(a) Total number of trips = 270
(b) There are 33 different visits that could make.
We have the information:
There are 18 major sea islands in the queen Elizabeth islands of Canada. There are 15 major lakes in Saskatchewan, Canada.
Let us say that A indicates the major sea Islands and B indicates the major lakes.
Taking both the cases as events, we will use multiplication principle.
Based on the information, the event A occurs in m ways and the event B will occur in n ways. So, the two events will occur in m×n ways.
(a) A × B = 18 × 15
Total number of trips = 270
(b) |A| = 18
|B| = 15
A ∩B = θ (as we cannot visit both an island and lake)
Addition Principle: There are |A| + |B| ways to choose an element form
A ∪ B , when A and B are the finite sets with A ∩B = θ
|A ∪ B| = |A| + |B| = 18 + 15 = 33
Thus, There are 33 different visits that could make.
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The Wheelers’ bill at a restaurant is $63.00. How much total money is Mr. Wheelers' lunch if he plans to tip 15%?
asap besties
we know that
when you want to figure out a tip, you take your total bill and multiply it by the percentage you would like to tip them
so
15%=15/100------> 0.15
$63*0.15=$9.45
the answer is
$9.45
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 gallon of gas, to fill the go cart tank. 111 gallon = 231 inches^3
Awnser
8 gallons of cans
someone pls help me out..
Based on the function given, the slope of the function can be found to be 1.25.
How to find the slope?The slope of a function refers to the value that the dependent variable, x, changes by as a result of a unit change in the independent variable, y.
In a linear function, the slope is m as shown below:
y = mx + b
y = dependent variable
m = slope
x = independent variable
b = y- intercept
As seen above, the slope multiplies the independent variable which means that in the function, y = 5x + 3, the slope is 5.
Question is:
What is the slope of the function?
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2. when a newspaper poll produces a statistic that is biased, it means that
When a newspaper poll produces a statistic that is biased, it mean that
(b) Repeated polls would give, results that are very different from each other.
What is biased in statistics?Statistical bias is anything that leads to a systematic difference between the true parameters of a population and the statistics used to estimate those parameters when people say that the newspaper poll is biased, they mean that:
(b) Responding was voluntary, and only these with access and interest would answer.
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Complete question:
When a newspaper poll produces a statistic that is biased, it means that
(a) Repeated polls would give the truth, about the population, in the same direction.
(b) Repeated polls would give results that are very different from each other.
(c) Repeated polls would give results that would not yield a normal distribution.
(d) Repeated polls would give results that are very similar to each other.
Ana has a bag of skittles. The number of skittles and the different colors of the skittles are listed: 8 red , 6 blue , 3 green , 6 yellow Ana will choose two skittles at random. What is the probability that Ana chooses a blue skittle first, eats it, and then selects a skittle that is not yellow?
Answer:
The probability of her not choosing yellow is 6/22.
Step-by-step explanation:
The probability that she chooses a blue skittle is 6/23 since she eats one blue skittle the total decreases to 22. So the probability of her not choosing yellow is 6/22
Select the correct answer.
Which of these graphs represents a function?
Answer:
W.
Step-by-step explanation:
Because it's a cubic function which means it has to be a function because it literally has function in it.
for conducting a two-tailed hypothesis test with a certain data set, using the smaller of n11 and n21 for the degrees of freedom results in df11, and the corresponding critical values are t2.201. using the formula for the exact degrees of freedom results in df19.063, and the corresponding critical values are t2.093. how is using the critical values of t2.201 more conservative than using the critical values of 2.093?
Using the critical values of t=+/-2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of +/-2.093.
Critical Value Definition -
Critical value can be defined as a value that is compared to a test statistic in hypothesis testing to determine whether the null hypothesis is to be rejected or not.
If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.
Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability \alpha if the null hypothesis is true.
Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201.
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What is this? im so confused. PLEASE HELP!
Answer:
Its probably X times 4
Step-by-step explanation:
The reason might be that X represents the number of episodes in the show. If we multiply it by 4 we'll probably get the expression so it must be : 4xx
2. You are building a fence around your vegetable garden in your backyard. If
the garden is 12'8" long and 4'6" wide, what is the total length of fencing you
will need?
The length of fencing required is 34.34 feet.
Data;
Length = 12 feet 8 inch long = (12 + 0.67) feet = 12.67 feetWidth = 4 feet 6 inch wide = (4+0.5)feet = 4.5 feetPerimeter of the GardenTo find the total length of fencing required, we have to find the perimeter of a rectangle since the garden has a rectangular shape.
\(P = 2(L + W)\)
We can substitute the values in the formula of perimeter above and proceed to solve.
\(P = 2(L+W) \\P = 2(12.67 + 4.5) \\P = 2(17.17)\\P = 34.34ft\)
The length of fencing required is 34.34 feet.
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select the correct answer. you are throwing darts at a dart board. you have a chance of striking the bull's-eye each time you throw. if you throw 3 times, what is the probability that you will strike the bull's-eye all 3 times?
The probability of hitting the bull's-eye all three times when throwing darts can be calculated using the multiplication rule of probability as P(3 hits) = p x p x p = \(p^3\),
where p is the probability of hitting the bull's-eye on each throw.
How to find the probability of striking the bull's-eye all 3 times?When throwing darts at a dart board, the probability of striking the bull's-eye is affected by many factors, such as the player's skill, the distance from the board, the type of dart used, and so on.
However, assuming that the probability of hitting the bull's-eye is the same for each throw and independent of previous throws;
We can calculate the probability of hitting the bull's-eye all three times using the multiplication rule of probability.
Suppose the probability of hitting the bull's-eye on each throw is p. Then, the probability of missing the bull's-eye on each throw is 1 - p.
The probability of hitting the bull's-eye all three times can be calculated as follows:
P(3 hits) = p x p x p = \(p^3\)
For example, if p = 0.05 (or 5%), then the probability of hitting the bull's-eye all three times would be:
P(3 hits) = 0.05 x 0.05 x 0.05 = 0.000125 or 0.0125%
This means that the chance of hitting the bull's-eye all three times is very low, and it would require a lot of skill and luck to achieve such a feat.
However, the probability of hitting the bull's-eye at least once in three throws would be much higher, and it would depend on the player's skill and consistency.
Overall, the probability of hitting the bull's-eye all three times is quite low, and it is more likely that a player will hit it once or twice or miss it altogether.
Nonetheless, the thrill of the game lies in the challenge and the unpredictability of each throw, making darts a popular game of skill and chance.
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Simplify
3√b^2
and no it is not 3b
The simplified form of the given expression is 9b
Simplifying an ExpressionFrom the question, we are to simplify the given expression
The given expression is 3√b^2
This expression can be properly written as
(3√b)²
To simplify the expression,
First, we will expand the expression by applying one of the rules of exponents
(3√b)²
Applying the rule of exponent
3² × (√b)²
9 × b
= 9b
Hence,
The simplified expression is 9b
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the use of statistics and probability are critical to continuous improvement projects. explain the role they have in continuous improvement projects?
Statistics and probability play a critical role in continuous improvement projects by providing tools and methods to gather, analyze, and interpret data.
Continuous improvement projects are aimed at identifying and eliminating waste, reducing defects, improving efficiency, and increasing customer satisfaction. To achieve these goals, it is necessary to collect data and use it to make informed decisions about the process being improved.
Here are some specific ways in which statistics and probability are used in continuous improvement projects:
Data Collection: Statistics provides techniques for collecting data that are accurate, relevant, and representative of the process being studied. By collecting data over time, trends can be identified, and patterns can be discovered.
Data Analysis: Probability and statistics provide tools for analyzing data, including graphical techniques such as histograms and control charts, and numerical techniques such as descriptive statistics and regression analysis.
These techniques can help to identify the root causes of problems and quantify the impact of changes made to the process.
Hypothesis Testing: Probability and statistics provide methods for testing hypotheses about the process being studied.
For example, hypothesis testing can be used to determine whether a change made to the process has had a statistically significant impact on the output.
Process Improvement: Probability and statistics provide methods for optimizing processes, such as design of experiments (DOE) and statistical process control (SPC).
These methods can be used to identify the optimal settings for process parameters, such as temperature or pressure, that will result in the desired output.
In summary, statistics and probability are essential tools in continuous improvement projects. They provide the means to collect, analyze, and interpret data, test hypotheses, and optimize processes.
By using these tools, organizations can make data-driven decisions that lead to continuous improvement and increased efficiency.
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Solve the following quadratic by
completing the square.
y = x2 – 8x + 5
Answer:
x = 4 ± √11
Step-by-step explanation:
hello :
x²-8x+5= x² -2(4 )(x)+5
x²-8x+5= x² -2(4 )(x)+5 = ( x² -2(4 )(x) +4²) -4²+5
= (x-4)²-11 .....( completing the square )
x²-8x+5= 0 means : (x-4)²-11 = 0
(x-4)²=11 but : 11 = (√11)² = ( - √11)²
x-4 =√11 or x-4 = -√11
x = 4 ± √11
Answer:
x = 4 ± \(\sqrt{11}\)
Step-by-step explanation:
To solve the equation let y = 0 , that is
x² - 8x + 5 = 0 ( subtract 5 from both sides )
x² - 8x = - 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = - 5 + 16
(x - 4)² = 11 ( take the square root of both sides )
x - 4 = ± \(\sqrt{11}\) ( add 4 to both sides )
x = 4 ± \(\sqrt{11}\)
Help me please please please please help
Answer:
1st option
Step-by-step explanation:
the constant of proportionality is the cost divided by number of patrons
$49.96 ÷ 4 = $12.49
$74.94 ÷ 6 = $12.49
$87.43 ÷ 7 = $12.49
Thus each movie ticket costs $12.49
help plsssssss with calculations ill give brainlist
Answer:
ill try to answer that has soon has am done with these one
Step-by-step explanation:
Answer :
ill try to answer that has soon has
am done with these one
f(x)=x^2+x and g(x)=1/x+1 find the rules for (f o g)(x) and (g o f)(x) and give the domain of each composite function
The composite functions of (f o g)(x), (g o f)(x) and their domains in the function f( x ) = x² + x and g( x ) = 1/(x+1) are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R } respectively.
What are the composite result function and domain of (f o g)(x) and (g o f)(x) in the given function?A function is simply a relationship that maps one input to one output.
Given the data in the question;
f( x ) = x² + xg( x ) = 1/(x+1)(f o g)(x) = ?(g o f)(x) = ?First, set up the composite result function (f o g)(x).
(f o g)(x) = f( g(x) )
f( x ) = x² + x
f( g(x) ) = f( 1/(x+1) ) = ( 1/(x+1) )² + 1/(x+1)
Apply product rule to simply
f( g(x) ) = 1² /(x+1)² + 1/(x+1)
f( g(x) ) = (1 + x + 1 )/ (x+1)²
f( g(x) ) = (x+2) / (x+1)²
Next, find the domain by equating the denominator to 0 and solve for x.
x + 1 = 0
x = -1
Domain: {x|x ≠ -1 }
For (g o f)(x), set up the composite result function (g o f)(x).
(g o f)(x) = g( f(x) )
g( x ) = 1/(x+1)
g( f(x) ) = g( x² + x ) = 1/( (x² + x) + 1 )
g( f(x) ) = 1/( (x² + x) + 1 )
g( f(x) ) = 1/(x² + x + 1 )
Next, find the domain by equating the denominator to 0 and solve for x.
x² + x + 1 = 0
x = ( -1±√(1² - 4 ×(1×1) ) / (2 × 1 )
x = (-1±i√3)/2
x = (-1+i√3)/2, (-1-i√3)/2
Hence,
Domain is set of all real numbers.
Domain: {x|x ∈ R }
Therefore the composite functions and their domain are (x+2) / (x+1)², Domain: {x|x ≠ -1 } and 1/(x² + x + 1 ), Domain: {x|x ∈ R }.
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WORD PROBLEM: Fill in the blanks
The radius of the oatmeal container is 0.2 inches.
The surface area of the plastic is 0.08π square inches
How to calculate the valueThe base and lid are made of plastic and have a radius of R.
The base and lid have a combined surface area of:
πr² + πr² = 2πr² square inches
The total surface area of the oatmeal container is 40 square inches.
The surface area of the cardboard is 16πr square inches and the surface area of the plastic is 2πr² square inches.
Thus, we have the equation:
40 = 16πr + 2πr²
We can solve for R as follows:
16πr + 2πr² = 40
2πr^2 + 16πr - 40 = 0
2πr^2 + 20πr - 4πr - 40 = 0
20r(πr + 2) - 4(πr + 2) = 0
(20r - 4)(πr + 2) = 0
20r - 4 = 0 or πr + 2 = 0
20r = 4 or πr = -2
r = 0.2
Thus, the radius of the oatmeal container is 0.2 inches.
The surface area of the plastic is 2πr² = 2π(0.2)² = 0.08π square inches
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In the accompanying diagram, name the angle pairs that form a linear pair
Linear pairs are the angles which formed a straight line
Look at your figure
Which angle pairs formed a straight line
Angle 1 and angle 5 formed a straight line
The sum of them = 180 degrees
Angles 1, 2, and 3 formed a straight line
The sum of them = 180 degrees
Angles 2, 3, and 4 formed a straight line
The sum of them is 180 degrees
Angles 4 and 5 formed a straight line
The sum of them = 180 degrees
So, the linear pairs are
Angle 1 and angle 5
Angle 4 and angle 5
Choose the correct description of the graph of the inequality x − 3 greater than or equal to 5. (5 points)
Open circle on 8, shading to the left.
Closed circle on 8, shading to the left.
Open circle on 8, shading to the right.
Closed circle on 8, shading to the right.
The correct description of the graph of the inequality x - 3 ≥ 5, is: D. Closed circle on 8, shading to the right.
How to Graph an Inequality?An inequality statement compares two unequal quantities. When plotting the graph of an inequality, if the inequality sign involve is "< or >", an open circle is used to mark the value of the variable on the number line, while a closed circle is used when the inequality sign involved is, "≤ or ≥".
Given the inequality, x - 3 ≥ 5, solve for x:
x - 3 ≥ 5
Add 3 to both sides
x - 3 + 3 ≥ 5 + 3 [addition property]
x ≥ 8
This means the possible values of x are greater than or equal to 8. The graph of the inequality would have a closed circle at 8, with the line shaded to the right on the number line.
The correct description is: D. Closed circle on 8, shading to the right.
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2x – (5 – x) = 13 + x solve step by step please
Answer:
9
Step-by-step explanation:
Step 1:
2x - ( 5 - x ) = 13 + x Equation
Step 2:
2x - 5 + x = 13 + x Open the parenthises
Step 3:
3x - 5 = 13 + x Add
Step 4:
3x = 18 + x Add 5 on both sides
Step 5:
2x = 18 Subtract x on both sides
Step 6:
18 ÷ 2 Divide
Answer:
x = 9
Hope This Helps :)
Answer:
\(\boxed {x = 9}\)
Step-by-step explanation:
Solve for the value of \(x\):
\(2x - (5 - x) = 13 + x\)
-To find the opposite of \(5 - x\), find the opposite of each term:
\(2x - (5 - x) = 13 + x\)
\(2x - 5 + x = 13 + x\)
-Combine like terms:
\(2x - 5 + x = 13 + x\)
\(3x - 5 = 13 + x\)
-Take \(x\) and subtract it from \(3x\):
\(3x - 5 - x = 13 + x - x\)
\(2x - 5 = 13\)
-Add \(5\) on both sides:
\(2x - 5 + 5 = 13 + 5\)
\(2x = 18\)
-Divide both sides by \(2\):
\(\frac{2x}{2} = \frac{18}{2}\)
\(\boxed {x = 9}\)
So, therefore, the value of \(x\) is \(9\).
10 POINTS!!!!!! answer quick
Answer:
Thx for the free points! Have a great day
Step-by-step explanation:
Select all the true statements about this graph.
A. The graph is nonlinear
B. The function increases at the same rate.
C. The rate decreases after x=2.
D. The graph is a function
E. The graph is increasing in two intervals.