While natural methods of measurement have historical and cultural significance, the use of invented instruments has significantly enhanced our ability to measure accurately and precisely in a standardized manner, enabling progress and advancements in various aspects of human civilization.ysical world with greater precision and consistency.
If body parts, animals' behavior, movement of celestial bodies, or nature were still used in measuring without any invented instruments, it would likely result in less precise and standardized measurements compared to what we achieve with modern instruments. While these natural methods might have been used in ancient times or in traditional practices, they have inherent limitations and are susceptible to various factors such as individual variations, environmental conditions, and subjective interpretations.
For example, body parts like hands, feet, or arms were historically used for measurements like a foot or a cubit. However, the size of body parts can vary among individuals, making it challenging to establish a consistent and accurate system of measurement. Animals' behavior, such as using the length of a horse or the wingspan of a bird, might also differ within species or lack precise standardization.
Observations of celestial bodies and natural phenomena, like the position of the sun or the length of shadows, have been used for timekeeping and approximate measurements. However, they lack the accuracy and precision offered by modern instruments such as clocks or rulers.
In the absence of invented instruments, relying solely on these methods would limit our ability to achieve uniformity, consistency, and reliable measurements across different locations and cultures. It would hinder scientific advancements, technological developments, and the establishment of standardized systems of measurement, which are crucial for various fields, including engineering, science, trade, and commerce.
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Use the given values of n and p to find the minimum usual value - 20 and the maximum usual value y + 20. Round to the nearest hundredth unless otherwise noted. n = 100; p = 0.26 O A. Minimum: 21.61; maximum: 30.39 OB. Minimum: 17.23; maximum: 34.77 OC. Minimum: -12.48; maximum: 64.48 OD. Minimum: 34.77; maximum: 17.23
The answer is OC. Minimum: -12.48; maximum: 64.48.
The minimum usual value - 20 and the maximum usual value y + 20 for the given values of n and p, n = 100; p = 0.26 are found below.
Minimum usual value = np - z * sqrt(np(1 - p)) = 100 × 0.26 - 1.645 × sqrt(100 × 0.26 × (1 - 0.26))= 26 - 1.645 × sqrt(100 × 0.26 × 0.74) = 26 - 1.645 × sqrt(19.1808) = 26 - 1.645 × 4.3810 = 26 - 7.2101 = 18.79 ≈ 18.80
Maximum usual value = np + z * sqrt(np(1 - p)) = 100 × 0.26 + 1.645 × sqrt(100 × 0.26 × (1 - 0.26))= 26 + 1.645 × sqrt(100 × 0.26 × 0.74) = 26 + 1.645 × sqrt(19.1808) = 26 + 7.2101 = 33.21 ≈ 33.22
Therefore, the minimum usual value - 20 is 18.80 - 20 = -1.20.The maximum usual value y + 20 is 33.22 + 20 = 53.22.
Hence, the answer is OC. Minimum: -12.48; maximum: 64.48.
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Vote you brainlest thanks
Answer:
D 11/18 11:18 11 to 18
Step-by-step explanation:
Because there are eleven technicians, our numerator is 11. Then, because there are 18 total helpers our denominator is 18.
could someone explain? i don't understand what to do
Answer:
112 degrees
Step-by-step explanation:
A triangle is comprised of 180 degrees.
34 + 34 = 68
180 - 68 = 112 degrees
In a sample of 28 participants, suppose we conduct an analysis of regression with one predictor variable. If Fobt= 4.28, then what is the decision for this test at a .05 level of significance?A) X significantly predicts Y.
B) X does not significantly predict Y.
C) There is not enough information to answer this question.
In a sample of 28 participants, suppose we conduct an analysis of regression with one predictor variable. If Fobt= 4.28, then the decision for this test at a .05 level of significance is there is not enough information to answer this question, option C.
To determine the decision for a regression analysis with one predictor variable at a 0.05 level of significance, we need to compare the observed F-statistic (Fobt) with the critical F-value.
Since the degrees of freedom for the numerator is 1 and the degrees of freedom for the denominator is 26 (28 participants - 2 parameters estimated), we can find the critical F-value from the F-distribution table or using statistical software.
Let's assume that the critical F-value at a 0.05 level of significance for this test is Fcrit.
If Fobt > Fcrit, then we reject the null hypothesis and conclude that X significantly predicts Y.
If Fobt ≤ Fcrit, then we fail to reject the null hypothesis and conclude that X does not significantly predict Y.
Since the information about the critical F-value is not provided, we cannot determine the decision for this test at a 0.05 level of significance. Therefore, the correct answer is C) There is not enough information to answer this question.
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14. True or False: Does a reflection
preserve congruence?
if a snowball melts so that its surface area decreases at a rate of 1 cm min, find the rate at which the diameter decreases when the diameter is 10 cm.
The rate at which the diameter decreases when the diameter is 10 cm is -0.00798 cm/min.
To find the rate at which the diameter decreases, we can use the relationship between the surface area and the diameter of a sphere.
The surface area of a sphere is given by the formula:
A = \(4\pi r^2\), where A is the surface area and r is the radius (which is half the diameter).
Differentiating both sides of the equation with respect to time t, we get:
dA/dt = 8πr(dr/dt).
We are given that the surface area decreases at a rate of \(1 cm^2/min\), so dA/dt = \(-1 cm^2/min\). We want to find dr/dt when the diameter is 10 cm, which means the radius is r = 10/2 = 5 cm.
Substituting these values into the equation, we have:
-1 = 8π(5)(dr/dt).
Simplifying, we get:
-1 = 40π(dr/dt).
Now, solving for dr/dt:
dr/dt = -1 / (40π).
Using a calculator, this evaluates to approximately -0.00798 cm/min.
Therefore, when the diameter is 10 cm, the rate at which the diameter decreases is approximately -0.00798 cm/min. Note that the negative sign indicates the decrease in diameter.
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Which choice describe the number of cheese wedges?
Answer:
A) 2+2+2+2+2
B) 5+5
Step-by-step explanation:
Hope i helped! :)
im on a donating mission! Today im going to donate 100 food items to the local food bank
12. The Williams family ate dinner at Olive Garden. The
total bill was $76. They left a tip that was 18% of the bill.
How much did the Williams family pay, including the tip?
A. $76.00
B. $76.18
13.6f
C. $89.68
+
76
D. $62. 32
Answer:
$89.68 was their total bill (bill + tip)
Step-by-step explanation:
Turn the percentage into a decimal:
76 x 0.18 = 13.68
13.68 is the tip of their total bill. Now, add the tip and the total bill cost together.
13.68 + 76 = $89.68
Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply
The points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)
The coordinates of the first point = (2, -10)
Using the number line we can only find the distance when the y coordinates or the x coordinates of the lines are equal
Here the first point is (2, -10)
The next point should be same quadrant, then the x coordinate will be positive and y coordinate will be negative
The points with same x coordinates = (2, -9)
The points with same y coordinates = (10, -10) and (7, -10)
Hence, the points that has same quadrant as (2, –10) could Tamara use a number line to find the distance are (2, -9), (10, -10) and (7, -10)
The complete question is
Tamara wants to find the distance from (2, –10) to other points. For which points in the same quadrant as (2, –10) could Tamara use a number line to find the distance? Check all that apply. (10, –10) (3, –2) (2, –9) (7, –10) (9, –2) (10, –2) (12, –1)
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Name four o planar points
Answer:
point p,q,x and w
Step-by-step explanation:
F(x)=3x-5;given f^-1(x)=0
Answer:
Step-by-step explanation:
3x - 5 is f^(-1) (x) = (1 / 3) x + (5 / 3), which is a linear expression.
The equations represent the elevations, y, of two hikers, in meters, after x hour. Wich ordered pair, (0, 0), (1, 7) or (2, 10), is a solution to the system? will the hikers ever be the same elevation? explain. Y = 6x + 1
y = 3x + 4
yes. the hikers will ever be the same elevation.6+1=7 the same elevation.
Y = 6x + 1
FIll the value of y in this equation
3x + 4= 6x + 1
3x=4-1
x=3/3=1
Y = 6x + 1
FIll the value of x in this equation
6+1=7. The height above or below a specified reference point, most frequently a reference geoid, which is a mathematical representation of the Earth's sea level as an equipotential gravitational surface, determines a location's elevation. In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface. Elevation should not be confused with the angular separation from the Earth's center. The summits of Mount Everest and Chimborazo have the highest elevation and greatest geocentric distance, respectively, because of the equatorial bulge.
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which of the following properties are used in multiplying polynomials together? symmetry commutative distributive transitive associative
To multiply polynomials together, use distributive property. With the distributive property, it is possible to multiple a sum by multiplying each term independently, then adding the products together.
A polynomial is an expression made up of variables, constants, and exponents that are combined using mathematical operations like addition, subtraction, multiplication, and division.
Example:
2y³ + 5y + 88x³ + 7x² + y -1The distributive property is an algebra property that allows you to multiply a single term with two or more terms enclosed by parentheses. Understand how distributive property works, can help you to multiply polynomials easily.
Example:
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Answer: Commutative, Distributive, Associative
Step-by-step explanation:
A uniform shaft of Length L, fixed at one end and free at the other is twisted so that each cross section rotates throughan angle proportional to the distance from the fixed end. [The fixed end is at x=0 and the distance from this end is x. ] If the shaft is released from the rest at this position , find its subsequent displacement θ(x,t).
QUESTION: SOLVE USING 3 CASES OF MU (µ)
µ>0 SHOW SOLUTION
µ=0 SHOW SOLUTION
µ<0 Already answer and given in photo check the photo attached.
µ > 0: θ(x,t) = A sin(ωt – kx) + B cos(ωt – kx). µ = 0: θ(x,t) = At + B. µ < 0: ∂²θ/∂t² + |µ|/L² ∂²θ/∂x² = 0
Case 1: µ > 0
In this case, when µ > 0, the equation governing the displacement θ(x,t) is given by the wave equation:
∂²θ/∂t² - µ/L² ∂²θ/∂x² = 0
The general solution to this wave equation is:
Θ(x,t) = A sin(ωt – kx) + B cos(ωt – kx)
Where A and B are constants, ω is the angular frequency, and k is the wave number. The angular frequency ω and the wave number k are related as ω = v * k, where v is the wave velocity. In this case, the wave velocity is given by v = sqrt(µ/L²).
Case 2: µ = 0
When µ = 0, the equation governing the displacement θ(x,t) simplifies to:
∂²θ/∂t² = 0
This equation indicates that there is no wave-like behavior in the system. The general solution in this case is:
Θ(x,t) = At + B
Where A and B are constants determined by the initial conditions.
Case 3: µ < 0
When µ < 0, the equation governing the displacement θ(x,t) becomes:
∂²θ/∂t² + |µ|/L² ∂²θ/∂x² = 0
The general solution to this equation can be expressed as a combination of sine and hyperbolic sine functions. However, without specific initial conditions, it is not possible to provide a detailed solution.
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WILL MARK BRAINLIEST FOR THE BEST ANSWER. PLEASE SHOW ALL WORK NECESSARY. THANKS..... The centre circle has a diameter of 3 cm and the difference in the radii of each larger circle is 4 cm. What is the area of the whole target – the area inside the yellow circle?
9514 1404 393
Answer:
about 572.6 square centimeters
Step-by-step explanation:
There are 3 circles outside the center one, so the total radius is 3·4 cm = 12 cm more than the radius of the inner circle.
The inner circle has a diameter of 3 cm, so its radius is 1.5 cm. That means the radius of the entire target is 1.5+12 = 13.5 cm.
The area of a circle is given by the formula
A = πr^2
For a radius of 13.5 cm, the area is ...
A = π(13.5 cm)^2 = 182.25π cm^2 ≈ 572.6 cm^2
_____
The attachment shows the target drawn to scale.
Find the surface area of the rectangular prism.
4 yd
3 yd
3 yd
Answer:
\(A = 66\ yd^2\)
Step-by-step explanation:
You can either add up all the areas of the faces of the rectangular prism, or you can use the following formula:
\(A = 2(wl+hl+hw)\\A = 2(3 \times 3 + 4 \times 3 + 4 \times 3)\\A = 2(9+12+12)\\A = 2(33)\\A = 66\)
Answer:
The surface area of the rectangular prism is \(66\ yd^2\)
Step-by-step explanation:
Step 1: Find the area of the front and back
\(A = l * w\)
\(A = 3\ yd * 4\ yd\)
\(A = 12\ yd^2 * 2\)
\(A = 24\ yd^2\)
Step 2: Find the area of the top and bottom
\(A = l * w\)
\(A = 3\ yd * 3\ yd\)
\(A = 9\ yd^2 * 2\)
\(A = 18\ yd^2\)
Step 3: Find the area of the left and right sides
\(A = l * w\)
\(A = 3\ yd * 4\ yd\)
\(A = 12\ yd^2 * 2\)
\(A = 24\ yd^2\)
Step 4: Total area
\(A_{total} = 24\ yd^2 + 18\ yd^2 + 24\ yd^2\)
\(A_{total}= 66\ yd^2\)
Answer: The surface area of the rectangular prism is \(66\ yd^2\)
40 meters in 16 seconds
Answer:
32 seconds
Step-by-step explanation:
Answer:
2.5 meters in a second.
Step-by-step explanation:
I'm assuming it's how many meters per second.
meters : seconds
40 : 16
10 : 4
2.5 : 1
Can someone please help? Thank youuu:)
How many unique triangles can be made where one angle measures 98° and another angle is an obtuse angle?
1
2
More than 2
None
Answer:
none is the answer
Step-by-step explanation:
because one angle measures 98, and another angle measures more than 90 (obtuse angle), and that does not match with 180 degree as a sum of all angles' measures..
Answer:
None
Step-by-step explanation:
An obtuse angle means that the angle is larger than 90 degrees. Since the total interior angle measures in a triangle must add up to 180 degrees, you cannot have 2 angles more than 90 degrees. Hope this helps!
WILL MARK YOU BRAINLIEST
Answer:
(8; 4), (-6; -4) and (2; 8)
g(x)=√8x
What is the domain of g?
If the table of the function contains exactly two potential turning points, one with an input value of -1, which statement best describes all possible values of m?
The statement (inequality) which best describes all possible values of m is: -12 < m < 4.
What is an inequality?An inequality is a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:
Less than (<).Greater than (>).Less than or equal to (≤).Greater than or equal to (≥).The table indicates two local extremes or potential turning points at x = 1 and x = -1. Thus, the value of m can't exceed f(-3) = -12.
In conclusion, the statement (inequality) which best describes all possible values of m is: -12 < m < 4.
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Algebra question, please answer for p(x)=0, p(x)=1, p(x)=2, p(x)=3, and p(x)=4 using Binomial Distribution or other methods.
As a coach for the local soccer team, you want your team to score a goal in the next big game. You look back on last year's stats to make a prediction, with the data shown below the complete table will be
P(0)=2/12P(1)= 4/12P(3)= 2/12P(2)= 2/12P(4)= 2/12What is the probability of scoring goals?Generally, the equation for the probabilities is mathematically given as
\(P(0)=\frac{number\ of\ 0\ goal\ matches}{number\ of\ matches}\)
\(P(0)=2/12\)
For 1 goal
P(1)= 4/12
For 2 goal
P(2)= 2/12
For 3 goal
P(3)= 2/12
For 4 goal
P(4)= 2/12
In conclusion,
P(0)=2/12P(1)= 4/12P(3)= 2/12P(2)= 2/12P(4)= 2/12Read more about Binomial Distribution
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out of the 100 samples provided by the manufacturer, at most how many can be defective for you to agree to use the new product?
In order to determine how many defective samples can be acceptable, we need to consider the concept of Acceptable Quality Level (AQL). AQL is the maximum percentage or number of defective units in a batch or lot that can be considered acceptable by the consumer.
AQL is determined based on the criticality of the product and the level of risk that the defects pose to the end user.
The AQL is usually determined through statistical sampling methods. In general, the higher the AQL, the higher the risk that the product may contain defective units. For example, if the AQL is 1%, it means that for every 100 units, one defective unit is acceptable.
In your case, you have not specified the criticality of the product or the level of risk associated with the defects. Therefore, it is difficult to determine the appropriate AQL for your situation. However, assuming a standard AQL of 2.5%, which is commonly used in the industry, it means that out of 100 samples provided by the manufacturer, at most 2.5 units can be defective for you to agree to use the new product.
It is important to note that the AQL is not a guarantee that the product is defect-free. Rather, it is a measure of the acceptable level of defects in a batch or lot. Therefore, it is important to establish appropriate quality control measures to ensure that the product meets the required standards and specifications.
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Determine the equation of the parabola with focus
(
2
,
5
)
(2,5) and directrix
�
=
18
x=18.
The equation of the parabola with focus (2,5) and directrix x=18 is (x - 18)² + (y - 5)² = (y - (5 + (18 - 2) / 2))².
A parabola is a conic section, the intersection of a right circular conical surface and a plane parallel to a generating
straight line of that surface.
The focus of a parabola is a fixed point on the interior of a parabola used in the formal definition of the curve.
The directrix is a straight line perpendicular to the axis of symmetry and placed symmetrically with respect to the focus.
The axis of symmetry is the line through the focus and perpendicular to the directrix.
The vertex of a parabola is the point where its axis of symmetry intersects the curve. It is the point where the parabola changes direction or "opens
up" or "opens down.
The directrix is a fixed straight line used in the definition of a
parabola. It is placed such that it is perpendicular to the axis of symmetry and at a distance from the vertex equal to the
distance between the vertex and focus. It is the line that is equidistant to the focus and every point on the curve.Here's
the solution to the given problem:
The distance between the directrix and the focus is equal to p = 16 (since the directrix is x = 18, the parabola opens to the left, so the distance is measured horizontally)
The vertex is (h,k) = ((18+2)/2,5) = (10,5)
Then we can use the following formula: (x - h)² = 4p(y - k)
Substitute the vertex and the value of p. (x - 10)² = 64(y - 5)
Expand and simplify. (x - 10)² + (y - 5)² = 64(y - 5)
The equation of the parabola is (x - 10)² + (y - 5)² = 64(y - 5).
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Need Help With Math Problem?
360x678=?
Answer:
\(360 \times 678 = 244,080\)
Hope it helps you
ignore my answer sorry I got it wrong
In a survey collecting data about the salaries earned by recent college graduates, Li found that her salary was in the 78 t h percentile. Should Li be pleased or upset by this result? Explain. Li should be pleased with her salary.
Being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.
Yes, Li should be pleased with her salary. Being in the 78th percentile means that Li's salary is higher than 78% of the salaries reported in the survey. In other words, the majority of recent college graduates earn a lower salary than Li does. This is a positive outcome and indicates that Li is earning more than a significant portion of her peers.
Being in a higher percentile suggests that Li's salary is above average and reflects her market value and the demand for her skills and qualifications. It indicates that she is likely being compensated fairly for her education, experience, and the value she brings to her employer. This can be seen as a validation of her hard work, dedication, and successful entry into the job market.
Moreover, being in the 78th percentile also implies that Li has a higher income relative to a large proportion of individuals her age, which can provide financial stability and opportunities for personal and professional growth.
Overall, being in the 78th percentile is a positive result, and Li should feel pleased and satisfied with her salary.
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List the outliers. if there is more than one outlier, separate them by a comma. use "none", if applicable. for the data set 3 6 4 13 3 7 5 13 3 7 5 15 3 8 5 27 4 8 6 6 4 11
For the data set 3, 6, 4, 13, 3, 7, 5, 13, 3, 7, 5, 15, 3, 8, 5, 27, 4, 8, 6, 6, 4, 11, the outliers are 3, 3, 3, 3, 15, and 27.
In statistics, outlier refers to the data point from a given data set that differs significantly from the other data points.
One way to determine the outlier in a given data set is to calculate the interquartile range.
1. Arrange the data set in ascending or descending order.
3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27
2. Divide the data set into two sets and find the median.
{3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 6} , {6, 6, 7, 7, 8, 8, 11, 13, 13, 15, 27}
Q1 median = 4
Q3 median = 8
3. Solve for the IQR.
IQR = Q3 - Q1
IQR = 8 - 4
IQR = 4
4. Determine the outlier if
high outlier ≥ Q3 + (1.5 x IQR) = 8 + (1.5 x 4) = 14
high outlier ≥ 14
low outlier ≤ Q1 − (1.5 x IQR) = 4 - (1.5 x 4) = 3
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factor the following
the equation is f(x) = x^3+27
The factored form of the cubic equation x³ + 27 is equal to (x + 3) · (x - 3 / 2 - i 3√3 / 2) · (x - 3 / 2 + i 3√3 / 2). The roots of the cubic equation are - 3, 3 / 2 + i 3√3 / 2 and 3 / 2 - i 3√3 / 2.
How to factor a cubic equation
In this problem we find a cubic equation of the form x³ + a³, whose factor form can be found by using algebra properties:
f(x) = x³ + 27
f(x) = (x + 3) · (x² - 3 · x + 9)
f(x) = (x + 3) · (x - 3 / 2 - i 3√3 / 2) · (x - 3 / 2 + i 3√3 / 2)
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