a person stands on a bathroom scale. the reading is 150 lb. after the person gets off the scale, the reading is 2 lb. a. is it possible to estimate the uncertainty in this measurement? if so, estimate it. if not, explain why not. b. is it possible to estimate the bias in this measure- ment? if so, estimate it. if not, explain why not.
a) Yes, it is possible to estimate the uncertainty in this measurement. the measurement of 150 lb has an uncertainty of +/- 0.5 lb.
b) It is not possible to estimate the bias in this measurement without further information.
a) Uncertainty represents the range of possible values that a measurement can have due to the limitations of the measuring instrument or the process of measurement. In this case, the uncertainty can be estimated by considering the precision of the bathroom scale.
If the scale is precise to the nearest pound, then the uncertainty can be estimated to be half of the smallest graduation of the scale, which is 0.5 lb.
b)Bias represents a systematic error in a measurement, which can arise due to various factors such as the design of the measuring instrument or the process of measurement.
In this case, we do not have any information about the design of the bathroom scale or the conditions under which the measurement was taken. Therefore, we cannot estimate the bias in this measurement.
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can someone help it’s due today
Answer:
x = 3
Step-by-step explanation:
Take the first equation- x + 2y = (-1)
Multiply both sides by 2
2(x + 2y) = 2(-1)
2x + 4y = -2
Add first and second equations
(2x + 4y = -2)
+(4x -4y = 20)
= 6x = 18
x = 18/6
x= 3
Extra info- This method is also called as Elimination method in which Elimination (whether by addition of equations or subtraction) of any variable is done.
Hope it helps
image a,b,c,d,e
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a. yes because they = 0
b. no, negative + negative = negative
c. yeah cause 3 >
d. no, its 0
e. no
If the scale factor of figure A to figure B is 3:8 find the value of x
If the scale factor of figure A to figure B is 3:8, the value of x is 9.
We are given Figure A and Figure B, along with their respective scale factors. To solve the problem, we must utilize the proportion rule. The ratio of the two figures is 3:8, so we can write the equation for proportion as follows -
3/8 = x/24
Applying the cross-multiplication rule, we get,
3 * 24 = 8 * x
Further solving for the value of x, we get,
x = (3 * 24) / 8
x = 9
Hence, the value of x is 9.
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The complete question is -
If the scale factor of figure A to figure B is 3:8 find the value of x.
Gary has 20 more candies than Mary. If Gary gives Mary 19 of his candies, Mary would have how many more candies than Gary?
Help!
Answer:
Mary would have 18 more candies than Gary
Step-by-step explanation:
PLEASE HELP WILL GIVE BRAINLIEST!!!!!
please help with this proof image attached
Step-by-step explanation:
solve like this.........
cylinder has a volume of 157 cm³. If the radius of the cylinder is 1 cm, what is its height? 3.14
The height of the cylinder whose volume has been given above would be = 50cm
How to calculate the height of a cylinder?The volume of a cylinder can be calculated with the formula = πr²h
Where Volume = 157cm³
radius = 1 cm
height = X cm
π = 3.14
That is, 157 = 3.14 × 1² × X
make X the subject of formula;
X = 157 /3.14
X = 50cm
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move the lenghts to the lines in order from shortest to longest
shortest________ _________ __________ __________longest
1 kilometer 1 meter 1 millimeter 1 centimeter
Which of the following equations has no solution?
A.m + 9 = 8
B.m - 3 = m + 3
C.m + 9 = 9 + m
D. All the choices
Answer:
B. m-3=m+3
Step-by-step explanation:
Because the others have a solution such as 0 and -1.
And That would eliminate D
Suppose that the functions and are defined for all real numbers x as follows.
s(x) = 4x
t(x) = 3x + 3
Write the expressions for
(t*s)(x)
(t - s)(x)
and evaluate (t + s)(- 2)
Answer:
-5
Step-by-step explanation:
The expression for the composition of functions t and s, (t*s)(x), is obtained by substituting the output of s(x) into t(x). So,
(t*s)(x) = t(s(x)) = t(4x) = 3(4x) + 3 = 12x + 3.
The expression for the difference of functions t and s, (t - s)(x), is obtained by subtracting the output of s(x) from t(x). So,
(t - s)(x) = t(x) - s(x) = (3x + 3) - (4x) = -x + 3.
To evaluate (t + s)(-2), we need to add the outputs of t(-2) and s(-2).
t(-2) = 3(-2) + 3 = 3
s(-2) = 4(-2) = -8
So, (t + s)(-2) = t(-2) + s(-2) = 3 + (-8) = -5.
Diego’s history teacher writes a test for the class with 30 problems. The test is worth 50 points and has two types of problems: multiple choice worth 1 point each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning
By using a system of equations of two variables the number of short answer problems is 10.
Total number of problems in the Test = 30
Maximum points of test = 50
Point of multiple choice = 1
Point of short answer problems = 3
Let the number of multiple choice questions is x and the number of short answer problems is y
So, x + y = 30 - (1)
and 1.x + 3.y = 50 ⇒ x + 3y = 50 -(2)
Equation (2) - Equation (1)
x + 3y - (x + y) = 50 - 30
2y = 20
y = 10
Put y = 10 in equation (1)
x = 30 - 10 = 20
Hence, the number of multiple-choice questions = 20 and the number of short answer problems = 10.
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A pet store has 6 cats. Here are their weights (in pounds).
13,9 ,9 ,15 ,12 , 16
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Answer: About 50 lbs
Step-by-step explanation:
Answer:
12.3
Step-by-step explanation:
To find the mean you have to add all the numbers and divide by the number of numbers.
They add up to 74 and divided by the number of numbers(6)
you get 12.333...
Then yiu round up to 12.3
one reason for using a t distribution instead of the standard normal curve to find critical values when calculating a level c confidence interval for a popu- lation mean is that (a) z can be used only for large samples. (b) z requires that you know the population standard deviation s. (c) z requires that you can regard your data as an srs from the population. (d) z requires that the sample size is at most 10% of the population size. (e) a z critical value will lead to
One reason for using a t distribution instead of the standard normal curve to find critical values when calculating a level c confidence interval for a population mean is that (b) z requires that you know the population standard deviation s.
The t distribution is used when the population standard deviation is unknown and is estimated from the sample. The t distribution has fatter tails than the standard normal curve, which makes it more appropriate for smaller sample sizes. When the sample size is large, the t distribution approaches the standard normal curve, and the z distribution can be used instead.
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7. The Cupcake Café’s recipe for cheesecake calls for 2/3 cup of cream cheese. How many cups of cream cheese does the café use to make 63 cheesecakes?
The Cupcake Café’s recipe for cheesecake calls for 2/3 cup of cream cheese.42 cups of cream cheese does the café use to make 63 cheesecakes.
What is word problem?
A word problem is a mathematical problem or puzzle that is presented in the form of a written description or narrative, rather than as a simple equation or formula. It typically involves a scenario or situation that requires mathematical calculations or problem-solving skills to arrive at a solution. Word problems can be found in a variety of settings, including in math textbooks, standardized tests, and real-life situations. They often require the reader to identify and interpret relevant information, apply mathematical concepts and formulas, and use critical thinking skills to arrive at a correct answer.
To make 63 cheesecakes, the Cupcake Café would use:
(2/3 cup of cream cheese per cheesecake) x (63 cheesecakes)
= 42 cups of cream cheese.
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x/2+4x=2 pls send a good explanation
Solve
#5
The formula below can be used to find the distance, d, a person can see to the horizon.
where d is the distance measured in miles and h is the person's height above the surface
of the Earth in feet.
d = 1.75h
The distance that a person with a height of 6 feet can see is given as follows:
10.5 feet.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
The function for this problem is defined as follows:
d = 1.75h.
For the person with a height of 6 feet, the distance is obtained replacing the lone instance of h by 6, hence:
d = 1.75 x 6
d = 10.5 feet.
Missing InformationThe problem asks for the distance that a person with a height of 6 feet can see.
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Please Help WILL MARK BRANLIEST
Answer:
n = 7
Step-by-step explanation:
You have a geometric sequence with first term 625 and common ratio 1/5, and you want to know the number of the term whose value is 1/25.
Geometric sequenceThe general term of a geometric sequence is ...
tn = t1·r^(n-1)
Using the given values, we can solve for n:
1/25 = 625·(1/5)^(n-1)
1/(5^2·5^4) = 1/5^(n-1) . . . . . . divide by 625; write as powers of 5
Comparing exponents of 5, we have ...
6 = n -1
7 = n
The value of n for which tn = 1/25 is 7.
__
Additional comment
The attachment shows the first 7 terms of the sequence.
<96141404393>
i need answers to these fast!!
Answer: 4.) 9.4 inches, 5.) 12.6 inches
Step-by-step explanation:
4.) So basically one revolution is going around a circle which will be finding the circumference. The equation to finding the circumference is (2)x(pi)x(radius) so if the diameter is 3 inches then half of that is 1.5 inches which is the radius. Multiply 1.5 times pi and 2 which is 9.4 inches.
5.) Same thing multiply the radius which is 2 times 2 and pi. The answer is 12.6.
Find a vector equation and parametric equations for the line segment that joins P to Q.
P(0, −4, 4), Q ( 1/2, 1/3, 1/4 )
vector equation r(t)
parametric equations x(t), y(t), z(t)
The vector equation for a line segment that joins two points P and Q can be found by subtracting the position vectors of P and Q and representing the result as a vector from P.
The position vector of point P is given by [0, -4, 4] and the position vector of point Q is given by [1/2, 1/3, 1/4]. So, the direction vector of the line segment is found by subtracting the position vectors:
d = Q - P = [1/2, 1/3, 1/4] - [0, -4, 4] = [1/2, 5/3, -3/4]
The vector equation of the line segment can be written as:
r(t) = P + t * d = [0, -4, 4] + t * [1/2, 5/3, -3/4] = [t/2, -4 + 5t/3, 4 - 3t/4]
where t is a scalar parameter that varies from 0 to 1 to give the points on the line segment between P and Q.
The parametric equations of the line segment are:
x(t) = t/2
y(t) = -4 + 5t/3
z(t) = 4 - 3t/4
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Find a vector equation and parametric equations for the line segment that joins P to Q?
P(0, −4, 4), Q ( 1/2, 1/3, 1/4 )
vector equation r(t)
parametric equations x(t), y(t), z(t)
1
What is the perimeter of a rectangle with a length of 8 feet and a width of 6:
6² feet?
6
14. feet
9
○ 16²/2
16 feet
O 29 feet
29-
6
O 3
48- feet
18
The perimeter of a rectangle with given length and width is 28 feet.
What is the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
Given that, length of a rectangle = 8 feet and the width of a rectangle = 6 feet.
Here, perimeter= 2(8+6)
= 2×14
= 28 feet
Therefore, the perimeter of a rectangle is 28 feet.
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Forest rangers at a state park have observed a decline in the rate of trees per
acre over a 5-year period. At the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an
average of 42 trees per acre. If this trend continues, how many trees per acre
will there be 412 years from the end of the 5-year observation period?
After 412 years there will be no trees at the state park.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information,
Slope(m) = (42 - 48)/(5 - 0).
Slope(m) = - 6/5.
b = 48, As y-intercept(0, 48).
Therefore, y = - (6/5)x + 48.
Now, y = - (6/5)×412 + 48.
y = - 446.4 trees per acre, But there will be no trees as it came out to be a negative value.
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Which equation uses a unit fraction and a whole number to write a multiplication equation equal to 712
An equation that uses a unit fraction and a whole number to write a multiplication equation equal to 712 can be represented as:
712 = (1/N) * X
Where N is the unit fraction and X is the whole number. To find the values of N and X, we can isolate X on one side of the equation and divide both sides by (1/N):
X = (712 * N) / (1)
X = 712 * N
Now we can substitute the value 712 for the right side of the equation:
X = 712 * N
X = 712 / (1/N)
Finally, we can simplify the equation by dividing 712 by the reciprocal of N:
X = 712 * N
X = 712 / (1/N)
X = 712 * N / (1/N)
X = 712 * N * N
Now we have an equation in which X is equal to 712 times N times N. To find the values of N and X, we can use trial and error or other mathematical methods.
It is important to note that there may be multiple solutions to this equation, as there can be many unit fractions and whole numbers that multiply to equal 712. The goal is to find a combination of N and X that satisfies the equation and produces the desired result.
In conclusion, writing a multiplication equation equal to 712 using a unit fraction and a whole number is a common mathematical problem that can be solved by isolating the variable and dividing both sides by the unit fraction.
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Savi and Suri had a total of 40.00 savi had 3 times as many as suri how much does each have? Show working
Suri has 10.00, and Savi has 3 times as much, or 30.00.
What is algebraic expression?
When we use numbers and words to solve a mathematical problem, we are using algebraic expressions.
Let's use algebra to solve the problem.
Let's say Suri has x amount of money. Then we know that Savi has 3 times as much money, or 3x. We also know that together they have 40.00. So we can write an equation:
x + 3x = 40
Simplifying this equation, we get:
4x = 40
Dividing both sides by 4, we get:
x = 10
So Suri has 10.00, and Savi has 3 times as much, or 30.00.
To check, we can verify that their total is 40.00:
10 + 30 = 40
So, the solution checks out.
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how many 3-digit numbers have exactly one zero?
Answer:
162
Step-by-step explanation:
Whether the zero is in the ones position or the tens position, there are only 9 possibilities for each of the other two digits and they can occur (with possible repetition) in either order. That’s 81 for each zero position for a total of 162.
There are 171 three-digit numbers that have exactly one zero. The zero can be in either the tens or units places, yielding 90 and 81 possibilities respectively.
Explanation:To determine how many 3-digit numbers have exactly one zero, we need to consider the possible placements of the zero. A 3-digit number has three positions: the hundreds place, tens place, and units place. The zero cannot be in the hundreds place, as that would make it a 2-digit number. So, the zero can only have two possible positions: the tens or units place.
For each case:
The zero in the tens place: In this case, we have 9 options (1-9) for the hundreds place, 1 option for the tens place (0), and 10 options (0-9) for the units place. This gives 9 * 1 * 10 = 90 numbers.The zero in the units place: Similarly, we have 9 options for the hundreds place, 9 options (1-9) for the tens place, and 1 option for the units place (0). This gives 9 * 9 * 1 = 81 numbers.So, in total, we have 90 + 81 = 171 3-digit numbers with exactly one zero.
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what are parameters? group of answer choices parameters are measured constructs that vary across entities in the sample. parameters summarize data or relationships in the population and are usually estimated from a sample a parameter tells us about how well the mean represents the sample data. all of the options describe parameters.
The option is: Parameters summarize data or relationships in the population and are usually estimated from a sample.
Parameters are numerical values that describe a population, and they are usually estimated from a sample. Parameters summarize important characteristics of the population, such as the mean, variance, or correlation between variables. These characteristics may vary across different entities in the population, such as individuals, households, or businesses.
In statistical analysis, parameters are important because they allow us to draw inferences about the population from a sample. By estimating parameters from a sample, we can make generalizations about the population and test hypotheses about relationships between variables.
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If the sum of two angles is 90 then angles are called ___angles
If the sum of two angles is 90 degrees, then the angles are called complementary angles.
Complementary angles are a type of angle relationship where two angles add up to exactly 90 degrees. In other words, when you add the measures of two complementary angles together, the sum is always equal to 90 degrees.
For example, if angle A measures 30 degrees, and angle B measures 60 degrees, then angle A and angle B are complementary angles, because 30 degrees + 60 degrees = 90 degrees.
Complementary angles are important in geometry and trigonometry, because they often appear in problems involving right triangles. In a right triangle, one of the angles measures 90 degrees, which means that the other two angles must be complementary.
For example, if one angle in a right triangle measures 30 degrees, then the other angle must measure 60 degrees, since 30 degrees + 60 degrees = 90 degrees.
Understanding complementary angles can be useful in a wide range of mathematical and real-world contexts. For example, in construction or engineering, understanding complementary angles can help ensure that structures are built at the correct angle to provide the necessary support and stability.
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the population of toliver town
The population of Toliver town reached a maximum of 200 by the mid - 1890s.
What was the population of Toliver Town at it's height ?After the Civil War, people initially began settling in Toliver, a farming community two miles northwest of the Cushing site in northwestern Nacogdoches County. There was a post office created there in 1888, and by the middle of the 1890s, there were 200 people living there.
However, the community was bypassed when the Texas and New Orleans Railroad was built through the region in 1901, and the majority of its population and businesses went to the recently founded town of Cushing, on the rail line, and the town was abandoned a few years later.
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The full question is:
What was the population of Toliver town at it's height ?
A room measures 10m by 6m by 3m the volume of airspace needed for one person is 5m3 find the maximum number of person who may use the room at the same time
The number of persons that can use the room at the same time is 36.
The volume of the cuboid = length x width x height
The room is a cuboid.
Volume of the room = length x width x height
L = 10m, W = 6m, Height = 3m.
Volume = 10 x 6 x 3 = 180 cubic meter.
If each person takes 5 cubic meter of air space,
Then the total person who can occupy the room at the same time is 180/5 = 36.
A cuboid is a three-dimensional geometric shape that is bounded by six rectangular faces, where each face is a parallelogram. It is also known as a rectangular prism. The faces of a cuboid are called its base and lateral faces. The base of a cuboid is the top and bottom rectangular faces, while the lateral faces are the four rectangular faces that connect the base.
Cuboids have eight vertices or corners, where three edges meet, and 12 edges, which are the straight lines that connect the vertices. The length, width, and height of a cuboid are the dimensions of the three pairs of parallel sides of its rectangular faces, and these measurements are usually denoted by l, w, and h, respectively.
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Can someone help me with this question ??
The length of x is given as follows:
x = 3.6.
What are similar polygons?Similar polygons share these two features listed as follows:
Congruent angles, that is, angles that have the same measure.Proportional side lengths.In the context of this problem, the proportional relationship for the side lengths of the polygons is given as follows:
x/3 = 2.4/2 = 4.8/4 = 6/5.
The relationship can be simplified as follows:
x/3 = 1.2.
Applying cross multiplication, the value of x is obtained as follows:
x = 3 x 1.2
x = 3.6.
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exponential equations solve for x using the k method X⅔ + X⅓ -6=0
The value of x in the equation is 8 or -27
What is exponential equation?The exponential function is a mathematical function denoted by f(x)=\exp or e^{x}. Unless otherwise specified, the term generally refers to the positive-valued function of a real variable, although it can be extended to the complex.
X^2/3 + X^1/3 -6 = 0
= X^1/3(2) + X^1/3 -6 = 0
represent X^1/3 by K
= K²+k-6 = 0
(K +3k )(-2k -6)= 0
k(3+k) -2(k+3) = 0
(k+3)(k-2) = 0
k+3 = 0
k -2 = 0
k = -3 or 2
since K = x^1/3
when k =-3
-3 = x^1/3
x = -3³ = -27
when k = 2
x = 2³ = 8
therefore the value of x is -27 or 8
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