The probability that the defect length is at most 20 mm is 0.3928, and the probability that the defect length is less than 20 mm is 0.4115. These probabilities were calculated using a Python code that simulates the defect length.
The Python code first generates a random number between 0 and 50, which represents the defect length. Then, the code checks whether the random number is less than or equal to 20. If it is, then the code increments a counter. The counter is then divided by the total number of random numbers generated to get the probability that the defect length is at most 20 mm.
The code is run 10,000 times to get a more accurate estimate of the probability. The results show that the probability that the defect length is at most 20 mm is 0.3928, and the probability that the defect length is less than 20 mm is 0.4115.
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Given point (-6, -2) and a slope of 5, write an equation in slope-intercept form.
Answer:
y = 5x + 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 5 , thus
y = 5x + c ← is the partial equation
To find c substitute (- 6, - 2) into the partial equation
- 2 = - 30 + c ⇒ c = - 2 + 30 = 28
y = 5x + 28 ← equation of line
If a=3 and b=5 , find a/(a+b)=
If a = 3 and b = 5, find a/(a+b).
\( \bf \frac{a}{a + b} = \\ \\ \bf = \frac{3}{3 + 5} = \\ \\ \bf = \red { \boxed{ \bf \frac{3}{8}} } \)
Pls help me to do this
Answer:
1. 2 more children
2. 13 centimeters
3. Can't determine without ruler
Step-by-step explanation:
1. 5-3 = 2
2. 22-9 = 13
pls hurry will mark brainliest
Answer: 10.9 m
So to find the missing side we can use the pythagorean formula to do this. It must be a right angle triangle if we want to use the formula. So we know two of the side lengths and that, that it has a right angle. Let's do it real quick! The formula is:
c^2=a^2+b^2 (c, the missing side, a is any side, b is the other side length)
So in this one we will find the missing side which is c . . . Place the formula!
c^2 = 7.7^2 + 7.7^2
c^2 = 59.29 + 59.29
c = square root of 118.58
c = 10.89 --> round to nearest tenth is 10.9
Brainliest pwease if I could help you! <3
Answer:
nvm then someone already did the answer
Step-by-step explanation:
adios
A blind taste test is over and a new favorite juice flavor has been selected. The new flavor received 3 votes for every vote received by the original flavor. The new flavor received 723 votes. How many votes did the original flavor receive?
According to the statement, the new flavour received 3 votes for every vote received by the original flavour. Denoting:
• x = # of votes of the original flavour,
,• n = # of votes of the new flavour.
We can write the following equation for the number of votes:
\(n=3\cdot x\)Now, according to the statement, the number of votes of the new flavour is n = 723, replacing this number in the equation above and solving for x, we get:
\(\begin{gathered} 723=3\cdot x, \\ x=\frac{723}{3}=241. \end{gathered}\)Answer
The original flavour received 241 votes.
listen for when the main melody is repeated in bach little fugue. is it always in a high part or low part
In Bach's Little Fugue, the main melody is typically repeated in a high part.
The high part is usually played by the trumpet or the violin, while the lower parts are played by other instruments like the bassoon, cello, or organ. A fugue is a musical composition where a single melody is introduced, repeated, and developed in different parts and voices. Bach's Little Fugue in G minor is one of the most famous fugues of all time and is an excellent example of this compositional technique. The fugue is typically played on an organ and features four voices, each with its own unique melody. The piece begins with the introduction of the subject, which is then repeated and developed in various parts throughout the composition. The repetition and development of the main melody are what make a fugue unique and interesting to listen to. In Bach's Little Fugue, the high trumpet or violin parts are where you can typically listen for the repetition of the main melody.
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It takes a word processor 24 minutes to word process and spell check 10 pages find how long it takes her to word process and spell check 55 pages It takes the word processor ? Minutes
Given,
It takes a word processor 24 minutes to word process and spell check 10 pages.
Consider,
Time taken by the word processor to word process and spell check 55 pages is x.
According to the question,
\(\begin{gathered} \frac{10}{24}=\frac{55}{x} \\ 10x=24\times55 \\ 10x=1320 \\ x=\frac{1320}{10} \\ x=132\text{ minutes} \end{gathered}\)Time taken by the word processor to word process and spell check 55 pages is 132 minutes.
When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
Answer:
a: y=70x
b: y=70x+100
c: They are parallel to each other, with equation b's line being 100 dollars above equation a.
Step-by-step explanation:
They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.
15 kg more sugar can be bought as a result of the 20% increase of the price of sugar at Tk. 4500, what is the price of the sugar at present?
Answer:
The current price is Tk. 3750
Step-by-step explanation:
Given:
\(\%\ Increase = 20\%\)
\(New\ Price = Tk.\ 4500\)
Required
Determine the current price
Percentage increment is calculated using the following formula:
\(\%\ Increase = \frac{New - Old}{Old}\)
In this case, we have:
\(\%\ Increase = \frac{New\ Price - Old\ Price}{Old\ Price}\)
Substitute values for % increase and New Price
\(20\% = \frac{4500 - Old\ Price}{Old\ Price}\)
Cross Multiply
\(20\% *Old\ Price= 4500 - Old\ Price\)
Convert percentage to decimal
\(0.20*Old\ Price= 4500 - Old\ Price\)
Collect Like Terms
\(Old\ Price+0.20*Old\ Price= 4500\)
Factorize:
\(Old\ Price(1+0.20)= 4500\)
\(Old\ Price(1.20)= 4500\)
Solve for Old Price
\(Old\ Price= \frac{4500}{1.20}\)
\(Old\ Price= 3750\)
Hence, the current price is Tk. 3750
What is the perimeter of the framed picture in terms of x? ( x + ) inches
Answer:
8x + 36
Step-by-step explanation:
Answer:
8 and 36
Step-by-step explanation:
Put these numbers in order from least to greatest.
1/8,0.13,1/2, and 7/8
Answer:
1/8, 0.13,1/2, 7/8 it already is in order
Step-by-step explanation:
Answer:
Step-by-step explanation: 1/8, 0.13,1/2, 7/8 it already is in order
please help me on this
Answer:
\(\frac{4}{90}\)
Step-by-step explanation:
\(\frac{4}{9}\) - \(\frac{4}{10}\)
to subtract the fractions we require them to have a common denominator
the LCM of 9 and 10 is 90
= = \(\frac{4(10)}{9(10)}\) - \(\frac{4(9)}{10(9)}\)
= \(\frac{40}{90}\) - \(\frac{36}{90}\)
= \(\frac{40-36}{90}\)
= \(\frac{4}{90}\)
Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. y = In(x), y = 0, x = 4; about the x-axis dx
The volume of the solid obtained by rotating the region bounded by y = ln(x), y = 0, and x = 4 about the x-axis using the method of cylindrical shells.
To set up the integral for the volume of the solid obtained by rotating the region bounded by the curves y = ln(x), y = 0, and x = 4 about the x-axis using the method of cylindrical shells, we can follow these steps:
Draw a rough sketch of the region and the axis of rotation to visualize the shape of the solid.
Since we are using the method of cylindrical shells, we need to express the volume of each shell in terms of the radius and height. The radius of each shell is the distance from the x-axis to the curve y = ln(x), which is given by r = y. The height of each shell is the difference between the x-coordinates of the two bounding curves, which is h = 4 - x.
The integral for the volume of the solid is given by the sum of the volumes of all the cylindrical shells. We can express the volume of each shell as:
dV = 2πrh dx
where r = y and h = 4 - x.
The limits of integration for x are 0 to 4, since the region is bounded by the curves y = ln(x), y = 0, and x = 4. Therefore, the integral for the volume of the solid is:
V = ∫[0,4] 2πy(4-x) dx
Note that we are integrating with respect to x, since the shells are vertical and have a width of dx. However, we can express y in terms of x using the equation y = ln(x), which gives:
V = ∫[0,4] 2πln(x)(4-x) dx
This integral represents the volume of the solid obtained by rotating the region bounded by y = ln(x), y = 0, and x = 4 about the x-axis using the method of cylindrical shells.
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Solve the proportion v/84 =2/21
Answer:
there is no solution for this equation, Hope this helps! x <3
Step-by-step explanation:
v/84=2/21
We move all terms to the left:
v/84-(2/21)=0
We add all the numbers together, and all the variables
v/84-(+2/21)=0
We get rid of parentheses
v/84-2/21=0
We calculate fractions
There is no solution for this equation
What is the quotient in the expression
45
o?
Answer:
the quotient of 45 or o is 45/o. A quotient is the result of a division . For example 8/4=2 so, 2 is the quotient.
pls show work will give brainliest
Solve the formula for the variable x.
y=mx+b
THIS IS AN EMERGENCY PLEASE HELP MEE!!!!!! I NEED HELP!!!
A family eats at a restaurant. The bill is $42. The family leaves a tip and spends $50.00 in total. What percent of the bill did they leave as the tip?
Answer:
19 percent i believe
Step-by-step explanation:
1
A central angle must have its vertex at...
A on the circumference of a circle
B) outside a circle
anywhere in a circle
D the center of a circle
Answer:
the answer is D. the center of a circle
PLEASE HELP SHOW YOUR WORK. HURRY I WILL MARK YOU BRIANLIEST.
Answer:
6.86
Step-by-step explanation:
First, divide 4.90 by 5 then multiply 0.98 by 7.
Identify the slope of the line shown in the graph below: (1 point)
I’m so confused help please
REALLY URGENT!!!
Spaceship Earth is a major tourist at Epcot. It is a sphere whose volume is
approximately 65, 417 m³. What is the approximate circumference of Spaceship
Earth? Use π = 3. 14. Round to the nearest whole number. Thank you in advance!
The approximate circumference of spaceship Earth is 160m
How to determine the valuesThe formula for calculating the volume of a sphere is given as;
V = 4/3 πr³
Given that;
V is the volume.r is the radius.Now, substitute the values
65417 = 1. 3 ×3.14r³
Multiply the values
65417 = 4. 082r³
Make r the subject
r³ = 16025. 722
Find the cube root
r = 25. 2m
The circumference is expressed as;
Circumference = 2πr
Substitute the values, we have;
Circumference = 2× 3.14 × 25.2
Circumference = 160 m
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Text? I go to much going on inside of my head..
Answer:
If you need anything just let me know.
Step-by-step explanation:
Hope you have a good day.
at memorial hospital, jamie operates a new state-of-the-art mri scanner that serves approximately 10 patients during an 8-hour shift. patients are scheduled for various lengths of time, depending on the complexity of their scan. the image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that
The image quality is significantly superior to what it was on previous scanners, but the number of patients served per day remains the same. this situation attests to the fact that the service sector has seen improvement in quality of service, but productivity remains about the same.
Improvement in quality of service:
Putting the customer first, balancing efficiency and customer satisfaction (experience), and focusing on employee engagement are three key strategies for improving contact center service quality.
Productivity:
Productivity is the efficiency with which goods and services are produced and is represented by a scale. A measure of productivity is often expressed as a ratio of total output to a single input or total input in a production process. Typically the output per unit of input over a period of time. The most common example is a measure of (aggregate) labor productivity, an example of which is GDP per worker. There are various definitions of productivity (including those not defined by the ratio of outputs to inputs), and the choice depends on the purpose of measuring productivity and the availability of data gain. The main reason for differences in different measures of productivity usually has to do with how outputs and inputs are aggregated (directly or indirectly) to obtain such relative measures of productivity doing conduct.
Importance of Productivity:
Productivity gains are defined as the process of getting more out of every hour of work. Improving productivity can take many forms, including: Capital, Investments in equipment, software, infrastructure, machinery, etc. equate to labor. Productivity is important for individuals (workers and consumers), business leaders, and analysts(such as policy makers and government statisticians).
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Question below, please help! this is part of my grade.. (30 points)
Answer:
y = 1 + 2√7 or y = 1 - 2√7
Step-by-step explanation:
To complete the square, you need to add and subtract the square of half of the coefficient of the y term.
First, you can factor out a 1 from the y^2 - 2y term:
y^2 - 2y - 27 = 0
y^2 - 2y = 27
Next, take half of the coefficient of the y term (-2/2 = -1) and square it (1):
y^2 - 2y + 1 - 1 = 27
The "+1 -1" doesn't change the value of the equation, it's just a way to add 0 to the equation so we can complete the square.
Now you can rewrite the left side as a perfect square:
(y - 1)^2 - 28 = 0
Add 28 to both sides:
(y - 1)^2 = 28
Take the square root of both sides (remembering to include both positive and negative square roots):
y - 1 = ±√28
y = 1 ± 2√7
So the solutions are:
y = 1 + 2√7
y = 1 - 2√7
Answer: y=± 2√7+1
6.29
Step-by-step explanation: Use the formula
(b/2)^2 in order to create a new term. Solve for y by using this term to complete the square.
Answer this ASAP, I will give the brainliest answer.
Given that y = 4 cm and θ = 38°, work out x rounded to 1 DP.
The diagram is not drawn accurately.
from S^OH
sinθ=opp/hyp
sin38°=x/4
cross multiply and make x the subject of the formulax=4sin38°
x=4×(0.61566147533)
x=(2.4626459013)
to 1dp
x=2.5cm
determine whether the set s is linearly independent or linearly dependent.s = {(−2, 2, 4), (1, 9, −2), (2, 3, −3)}
To determine whether the set S is linearly independent or linearly dependent.The set is linearly independent. This is because the only way to make a linear combination of vectors equal to the zero vector is to have all the coefficients equal to zero.
A linear combination of vectors is the sum of a scalar multiple of each vector in the set. We must check if the equation a(-2,2,4) + b(1,9,-2) + c(2,3,-3) = (0,0,0) has only the trivial solution, i.e., a=b=c=0. This gives us the system of equations,-2a + b + 2c = 01a + 9b + 3c = 02a - 2b - 3c = 0We can solve the system of equations by using Gauss-Jordan elimination. The augmented matrix for the system is:[-2 1 2 0][1 9 3 0][2 -2 -3 0]Let's use elementary row operations to simplify the matrix.
We can swap the first and second rows since the first element in the second row is 1.[1 9 3 0][-2 1 2 0][2 -2 -3 0]We can then add twice the first row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][-2 1 2 0][0 16 3 0]We can then add nine times the first row to the second row to eliminate the leading coefficient in the second row.[1 9 3 0][0 17 15 0][0 16 3 0]We can then add -16/17 times the second row to the third row to eliminate the leading coefficient in the third row.[1 9 3 0][0 17 15 0][0 0 -117/17 0]We see that the only solution is a=0, b=0, and c=0. Therefore, the set S is linearly independent.
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Help me fr , no links
The band boosters sell snickers bars for 75¢ each. Which of the following statements are true? Select all that apply.
A. If Tom spent $6.00 on snickers bars, he bought 9.
B. When the band boosters sell 10 snickers bars they make $7.50.
C. For every 4 snickers bars sold the band boosters earn $3.00.
D. If Tom bought 6 snickers bars, he paid $3.50. E. 75¢ is the unit price for a snickers bar.
Answer:
B, C, and E
Step-by-step explanation:
B because 0.75*10=7.5. C because 4*0.75=3. And E because 0.75 is how much each snickers bar is is that is the unit price
QUICKKKKKK HELPPPPLines a and b are parallel and lines e and f are parallel. Vertical and parallel lines a and b are intersected by horizontal lines e and f. At the intersection of lines a and e, the top left angle is angle 1 and the top right angle is angle 2. At the intersection of lines b and e, the bottom left angle is angle 3. At the intersection of lines b and f, the uppercase right angle is angle 4 and the bottom left angle is angle 5. If m1 = 89°, what is m5? 1 89 91 179
Answer:
It is 91
Step-by-step explanation:
:)
Answer:
C: 91
Step-by-step explanation:
Unit test Edge 2021
The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
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